Ways of Thinking

Related to: On the Medium of Thought, John von Neumann, Early Isolation Tank Psychonautics: 1970s Trip Reports, Pseudo-Time Arrow, Thinking in Numbers, High-Entropy Alloys of Experience, A Single 3N-Dimensional Universe: Splitting vs. Decoherence, A New Way to Visualize General Relativity, Visual Quantum Physics, and Feynman’s QED Video Lectures (highly recommended!)


Transcript from the last section of the 1983 BBC interview of Richard Feynman “Fun to Imagine” (excerpt starts at 55:52):

Interviewer presumably asks: What is it like to think about your work?

Well, when I’m actually doing my own things, that I’m working in the high, deep, and esoteric stuff that I worry about, I don’t think I can describe very well what it is like… First of all it is like asking a centipede which leg comes after which. It happens quickly and I am not exactly sure… flashes and stuff goes on in the head. But I know it is a crazy mixture of partial differential equations, partial solving of the equations, then having some sort of picture of what’s happening that the equations are saying is happening, but they are not as well separated as the words that I’m using. And it’s a kind of a nutty thing. It’s very hard to describe and I don’t know that it does any good to describe. And something that struck me, that is very curious: I suspect that what goes on in every man’s head might be very, very different. The actual imagery or semi-imagery which comes is different. And that when we are talking to each other at these high and complicated levels, and we think we are speaking very well and we are communicating… but what we’re really doing is having some kind of big translation scheme going on for translating what this fellow says into our images. Which are very different.

I found that out because at the very lowest level, I won’t go into the details, but I got interested… well, I was doing some experiments. And I was trying to figure out something about our time sense. And so what I would do is, I would count trying to count to a minute. Actually, say I’d count to 48 and it would be one minute. So I’d calibrate myself and I would count a minute by counting to 48 (so it was not seconds what I counted, but close enough), and then it turns out if you repeat that you can do very accurately when you get to 48 or 47 or 49, not far off you are very close to a minute. And I would try to find out what affected that time sense, and whether I could do anything at the same time as I was counting and I found that I could do many things, but couldn’t do other things. I could… For example I had great difficulty doing this: I was in university and I had to get my laundry ready. And I was putting the socks out and I had to make a list of how many socks, something like six or eight pair of socks, and I couldn’t count them. Because the “counting machine” was being used and I couldn’t count them. Until I found out I could put them in a pattern and recognize the number. And so I learned a way after practicing by which I could go down on lines of type and newspapers and see them in groups. Three – three – three – one, that’s a group of ten, three – three – three – one… and so on without saying the numbers, just seeing the groupings and I could therefore count the lines of type (I practiced). In the newspaper, the same time I was counting internally the seconds, so I could do this fantastic trick of saying: “48! That’s one minute, and there are 67 lines of type”, you see? It was quite wonderful. And I discovered many things I could read while I was… I could read while I was counting and get an idea of what it was about. But I couldn’t speak, say anything. Because of course, when I was counting I sort of spoke to myself inside. I would say one, two, three… sort of in the head! Well, I went down to get breakfast and there was John Tuckey, a mathematician down at Princeton at the same time, and we had many discussions, and I was telling him about these experiments and what I could do. And he says “that’s absurd!”. He says: “I don’t see why you would have any difficulty talking whatsoever, and I can’t possibly believe that you could read.” So I couldn’t believe all this. But we calibrated him, and it was 52 for him to get to 60 seconds or whatever, I don’t remember the numbers now. And then he’d say, “alright, what do you want me to say? Marry Had a Little Lamb… I can speak about anything. Blah, blah, blah, blah… 52!” It’s a minute, he was right. And I couldn’t possibly do that, and he wanted me to read because he couldn’t believe it. And then we compared notes and it turned out that when he thought of counting, what he did inside his head is that when he counted he saw a tape with numbers, that did clink, clink, clink [shows with his hand the turning and passing of a counting tape], and the tape would change with the numbers printed on it, which he could see. Well, since it’s sort of an optical system that he is using, and not voice, he could speak as much as he wanted. But if he wanted to read then he couldn’t look at his clock. Whereas for me it was the other way.

And that’s where I discovered, at least in this very simple operation of counting, the great difference in what goes on in the head when people think they are doing the same thing! And so it struck me therefore, if that’s already true at the most elementary level, that when we learn about mathematics, and the Bessel functions, and the exponentials, and the electric fields, and all these things… that the imagery and method by which we are storing it all and the way we are thinking about it… could be it really if we get into each other’s heads, entirely different? And in fact why somebody has sometimes a great deal of difficulty understanding when you are pointing to something which you see as obvious, and vice versa, it may be because it’s a little hard to translate what you just said into his particular framework and so on. Now I’m talking like a psychologist and you know I know nothing about this.

Suppose that little things behaved very differently than anything that was big. Anything that you are familiar with… because you see, as the animal evolves, and so on, as the brain evolves, it gets used to handling, and the brain is designed, for ordinary circumstances. But if the gut particles in the deep inner workings whereby some other rules and some other character they behave differently, they were very different than anything on a large scale, then there would be some kind of difficulty, you know, understanding and imagining reality. And that is the difficulty we are in. The behavior of things on a small scale is so fantastic, it is so wonderfully different, so marvelously different than anything that behaves on a large scale… say, “electrons act like waves”, no they don’t exactly. “They act like particles”, no they don’t exactly. “They act like a kind of a fog around the nucleus”, no they don’t exactly. And if you would like to get a clear sharp picture of an animal, so that you could tell exactly how it is going to behave correctly, to have a good image, in other words, a really good image of reality I don’t know how to do it!

Because that image has to be mathematical. We have mathematical expressions, strange as mathematics is I don’t understand how it is, but we can write mathematical expressions and calculate what the thing is going to do without actually being able to picture it. It would be something like a computer that you put certain numbers in and you have the formula for what time the car will arrive at different destinations, and the thing does the arithmetic to figure out what time the car arrives at the different destinations but cannot picture the car. It’s just doing the arithmetic! So we know how to do the arithmetic but we cannot picture the car. No, it’s not a hundred percent because for certain approximate situations a certain kind of approximate picture works. That it’s simply a fog around the nucleus that when you squeeze it, it repels you is very good for understanding the stiffness of material. That it’s a wave which does this and that is very good for some other phenomena. So when you are working with certain particular aspect of the behavior of atoms, for instance when I was talking about temperature and so forth, that they are just little balls is good enough and it gives us a very nice picture of temperature. But if you ask more specific questions and you get down to questions like how is it that when you cool helium down, even to absolute zero where there is not supposed to be any motion, it’s a perfect fluid that hasn’t any viscosity, has no resistance, flows perfectly, and isn’t freezing?

Well if you want to get a picture of atoms that has all of that in it, I can’t do it, you see? But I can explain why the helium behaves as it does by taking my equations and showing that the consequences of them is that the helium will behave as it is observed to behave, so we now have the theory right, but we haven’t got the pictures that will go with the theory. And is that because we are limited and haven’t caught on to the right pictures? Or is that because there aren’t any right pictures for people who have to make pictures out of things that are familiar to them? Let’s suppose it’s the last one. That there’s no right pictures in terms of things that are familiar to them. Is it possible then, to develop a familiarity with those things that are not familiar on hand by study? By learning about the properties of atoms and quantum mechanics, and practicing with the equations, until it becomes a kind of second nature, just as it is second nature to know that if two balls came towards each other they’d mash into bits, you don’t say the two balls when they come toward each other turn blue. You know what they do! So the question is whether you can get to know what things do better than we do today. You know as the generations develop, will they invent ways of teaching, so that the new people will learn tricky ways of looking at things and be so well trained that they won’t have our troubles with picturing the atom? There is still a school of thought that cannot believe that the atomic behavior is so different than large-scale behavior. I think that’s a deep prejudice, it’s a prejudice from being so used to large-scale behavior. And they are always seeking to find, to waiting for the day that we discover that underneath the quantum mechanics, there’s some mundane ordinary balls hitting, or particles moving, and so on. I think they’re going to be defeated. I think nature’s imagination is so much greater than man’s, she’s never gonna let us relax.


From the blog Visual Quantum Physics (same as gifs above):

5-MeO-DMT Awakenings: From Naïve Realism to Symmetrical Enlightenment

In the following video Leo Gura from actualized.org talks about his 30-day 5-MeO-DMT streak experiment. In this post I’ll highlight some of the notable things he said and comment along the way using a QRI-lens to interpret his experiences (if you would rather make up your mind about what he says without my commentary just go and watch the video on your own before reading what I have to say about it).

TL;DR: Many of the core QRI paradigms such as Neural Annealing, the Symmetry Theory of Valence, the Tyranny of the Intentional Object, and Hyperbolic Geometry on Psychedelics have a surprising degree of explanatory power when it comes to making sense of the peculiar process that ensues when someone takes a lot of 5-MeO-DMT. The deep connections between symmetry, valence, smooth geometry, and information content are made clear in this context due to the extreme and purified nature of the states induced by the drug.


Introduction

Recently Adeptus Psychonautica (who has interviewed me in the past about the hyperbolic geometry of DMT experiences) put out a video titled “When you have taken too much – Actualized.org“. This video caught my attention because Leo Gura did something that is rather taboo in spiritual communities, and for good reasons. Namely, he tried to convince the viewers that he had achieved a level of awakening that nobody (or perhaps only a few people) on the entire planet had ever reached. He then said he was going to isolate for a month to integrate these profound awakenings and come back with a description of what they are all about.

Thankfully I didn’t have to wait a month to satisfy my curiosity and see what happened after his period of isolation because by the time I found about it he had already posted his post-retreat video. Well, it turns out that he used those 30 days of isolation to conduct a very hard-core psychedelic experiment. Namely, he took high doses of 5-MeO-DMT daily for the entire month. I’ve never heard of anyone doing this before.

Learning about what he experienced during that month is of special interest to me for many reasons. In particular, thanks to previous research about extreme bliss and suffering, we had determined that 5-MeO-DMT is currently the psychedelic drug that has the most powerful and intense effects on valence. Recall Logarithmic Scales of Pleasure and Pain (video): many lines of evidence point to the fact that extreme states of consciousness are surprisingly powerful in ways that are completely counterintuitive. So when Leo says that there are “many levels of awakening” and goes on to discuss how each level is unrecognizably more intense and deeper than the previous one, I am very much inclined to believe he is trying to convey a true property of his experiences. Note that Leo did not only indulge in psychedelics; we are talking about 5-MeO-DMT in particular, which is the thermonuclear bomb version of a psychoactive drug (as with Plutonium, this stuff is best handled with caution). More so, thankfully Leo is very eloquent, which is rare among people who have had many extreme experiences. So I was very eager to hear what he had to say.

While I can very easily believe his trip reports when it comes to their profundity, intensity, and extraordinary degree of consciousness, I do not particularly find his interpretations of these experiences convincing. As I go about describing his video, I will point out ways in which you can take as veridical his phenomenological descriptions without at the same time having to agree with his interpretations of them. More so, if you end up exploring these varieties of altered states yourself, by reading this you will now at least have two different and competing frameworks to explain your experiences. This, I think, is an improvement. Right now the psychedelic and scientific community has very few lenses with which to interpret something as extraordinary as 5-MeO-DMT experiences. And I believe this comes at a great cost to people’s sanity and epistemic rationality.

What Are Leo’s Background Assumptions?

In the pre-retreat video Leo says that his core teachings (and what he attempts to realize on his own self) are: (1) you are literally God, (2) there is nothing but consciousness – God is infinite consciousness, (3) everything is states of consciousness – everything at all times is a different state of consciousness, (4) you are love – and love is absolute – this is all constructed out of love – fear is just fear of aspects of yourself you have disconnected from, (5) you have no beginning and no end, (6) you should be radically open-minded. Then he also adds that physical and mental health issues are just manifestations of your resistance to realizing that you are God.

What Are My Background Assumptions?

Personal Identity

I am quite sympathetic to the idea of oneness, which is also talked about with terms like nonduality and monopsychism. In philosophical terminology, which I find to be more precise and rigorous, this concept goes by the name of Open Individualism – the belief that we are all one single consciousness. I have written extensively about Open Individualism in the past (e.g. 1, 2, 3), but I would like to point out that the arguments I’ve presented in favor of this view are not based on direct experience, but rather, on logical consistency from background assumptions we take for granted. For instance, if you assume that you are the same subject of experience you were a second ago, it follows that you can exist in two points in space-time and still be the same being. Your physical configuration is different than a few seconds ago (let alone a decade), you have slightly different memories, the neurons active are different, etc. For every property you point out as your “identity carrier” I can find a counter-example where such carrier changes a little while you still remain the same subject of experience. Add to that teleportation, fission, fusion, and gradual replacement thought experiments and you can build a framework where you can become any other arbitrary person without a loss of identity. These lines of argumentation coupled with the transitivity of identity can build the case that we are indeed all one to begin with.

But realize that rather than saying that you can grasp this (potential) truth directly from first person experience, I build from agreed upon assumptions to arrive at an otherwise outlandish view. Understanding the argument does not entail “feeling we are all one”, and neither does feeling we are all one entails understanding the arguments!

Indirect Realism About Perception

There is a mind-independent world out there and you never get to experience it directly. In some sense, we each live in a private skull-bound world-simulation that tracks the fitness-relevant features of our environment. Hence, during meditation, dreaming, or psychedelic states you are not accessing any sort of external reality directly, but rather, exploring possible configurations and qualities of your inner world-simulation. This is something that Leo may implicitly not realize. In particular, interpreting 5-MeO-DMT experiences through direct realism (also called naïve realism – the view that you experience the world directly through your senses) would make you think that you are literally merging with the entire cosmos on the drug. Whereas interpreting those experiences with indirect realism merely entails that your inner boundaries are dissolving. In other words, the partitions inside your world-simulation are what implements the feeling of the self-other duality. And since 5-MeO-DMT dissolves inner boundaries, it feels as though you are becoming one with your surroundings (and the rest of reality).

Physicalism and Panpsychism

An important background assumption is that the laws of physics accurately describe the behavior of the universe. This is distinct from materialism, which would also posit that all matter is inherently insentient. Physicalism merely says that the laws of physics describe the behavior of the physical, but leaves its intrinsic nature as an open question. Together with panpsychism, however, physicalism entails that what the laws of physics are describing is the behavior of consciousness.

Tyranny of the Intentional Object

We tend to believe that what makes us happy is external to us, while in reality happiness is a state of consciousness triggered by external circumstances. Our minds lead us to believe otherwise for evolutionary reasons.

Valence Structuralism

What makes an experience feel good or bad is not its semantic content, its computational use, or even whether the experience is self-reinforcing or not. What makes experiences feel good or bad is their structure. In particular, a very promising idea that will come up below is that highly symmetrical states of consciousness are inherently blissful, such as those we can access during orgasm, meditation, psychedelics, or even just good food and a hug. Recall that 5-MeO-DMT dissolves internal boundaries, and this is indicative of increased inner symmetry (where the boundaries themselves entail symmetry breaking operations). Thus, an exotic state of oneness is blissful not because you are merging with God, but “merely” because it has a higher degree of symmetry and therefore it’s valence is higher than what we can normally experience. In particular, the symmetry I’m talking abut here may be an objective feature of experiences perhaps even measurable with today’s neuroimaging technology.

There are additional key background philosophical assumptions, but the above are enough to get us started analyzing Leo’s 5-MeO-DMT journey from a different angle.


The Video

[Video descriptions are in italics whereas my commentary is bolded.]

For the first 8 minutes or so Leo explains that people do not really know that there are many levels of enlightenment. He starts out strong by claiming that he has reached levels of enlightenment that nobody (or perhaps just a few people) have ever reached. More so, while he agrees with the teachings of meditation masters of the past, he questions the levels of awakening that they had actually reached. It takes one to know one, and he claims that he’s seen things far beyond what previous teachers have talked about. More so, he argues that people simply have no way of knowing how enlightened their teachers are. People just trust books, gurus, teachers, religious leaders, etc. about whether they are “fully” enlightened, but how could they know for sure without reaching their level, and then surpassing them? He wraps up this part of the video by saying that the only viable path is to go all the way by yourself – to dismiss all the teachers, all the books, and all the instructions and see how far you can go on your own when genuinely pursuing truth by yourself.

With this epistemological caveat out of the way, Leo goes on to describe his methodology. Namely, he embarked on a quest of taking 5-MeO-DMT at increasing doses every day for 30 days in a row.leo_10_05

At 10:05 he says that within a week of this protocol he started reaching levels of awakening so elevated that he realized he had already surpassed every single spiritual teacher that he had ever heard of. He started writing a manifesto explaining this, claiming that even the most enlightened humans are not truly as awake as he became during that week. That it had became “completely transparent that most people who say they are awake or teach awakening are not even 1% awake”. But he decided not to go forward with the manifesto because he still values the teachings of spiritual leaders, whom according to him are doing a great service to mankind. He didn’t want to start, what he called, a “nonduality war” (which is of course a fascinating term if you think about it).

The main thing I’d like to comment here is that Leo is never entirely clear about what makes an “awakening experience” authentic. From what I gather (and from what comes next in the video) we can infer that the leading criteria consists of a fuzzy blend of experience of certainty, feeling of unity, and sense of direct knowing coupled together. To the extent that 5-MeO-DMT does all of these things to an extraordinary degree, we can take Leo on his words that he indeed experienced states of consciousness that feel like awakening that are most likely inaccessible to everyone who hasn’t gone through a protocol like his. What is still unclear is how exactly the semantic contents of these experiences are verified by means other than intuition. We will come back to that.

At 16:00 he makes the distinction between awakening as merely “cessation”, “nothingness”, “emptiness”, “the Self”, or that “you are nothing and everything” versus what he has been experiencing. He agrees that those are true and worthy realizations, but he claims that before his experiences, these understandings were still only realized at a very “low level”. Other masters, he claims, may care about ending suffering, about peace, about emptiness, and so on. But that nobody seems to truly care about understanding reality (because otherwise they would be doing what he’s doing). He rebukes possible critics (arguably of the Zen variety) who would say that “understanding is a function of the mind” so the goal shouldn’t be to understand. He asserts that no, based on his lived experience, that consciousness is capable of “infinite understanding”.

Notwithstanding the challenges posed by ultrafinitism, I am also inclined to believe Leo that he has experienced completely new varieties of “understanding”. In my model of the mind, understanding something means to have the ability to render it in your world-simulation in a particular kind of way that allows you to see it from every possible angle you have access to. On 5-MeO-DMT, as we will see to a greater extent below, a certain new set of projective operations get unlocked that allow you to render information from many, many more points of view at the same time. It is unclear whether this is possible with meditation alone (in personal communication, Daniel Ingram said yes) but it is certainly extraordinarily rare for even advanced meditators to be able to do this. So I am with Leo when it comes to describing “new kinds of understandings”. But perhaps I am not on board when it comes to claiming that the content of such understandings is an accurate rendering of the structure of reality.

At 18:30 Leo asserts that what happened to him is that over the course of the first week of his experiment he “completely understood reality, completely understood what God is”. God has no beginning and no end. He explains that normal human understanding sees situations from a single point of view (such as from the past to the future). But that actual infinite reality is from all sides at once: “When you are in full God consciousness, you look around the room, and you can see it from every single point of view, from an infinite number of angle and perspectives. You see that every part of the room generates and manufactures and creates every other part. […] Here when you are in God consciousness, you see it from every single possible dimension and angle. It’s not happening lilnearly, it’s all in the present now. And you can see it from every angle almost as though, if you take a watermelon and you do a cross-section with a giant knife, through that watermelon, and you keep doing cross-section, cross-section, cross-section in various different angles, eventually you’ll slice it up into an infinite number of perspectives. And then you’ll understand the entire watermelon as a sort of a whole. Whereas usually as humans what we do is we slice down that watermelon just right down the middle. And we just see that one cross-section.”

Now, this is extremely interesting. But first, it’s important to point out that here Leo might implicitly be reasoning about his experience through the lens of direct realism about perception. That is, that as he experiences this profound sense of understanding that encompasses every possible angle at once, he seems to believe that this is an understanding of his environment, of his future and past, and of reality as a whole. On the other hand, if you start out assuming indirect realism about perception, how you interpret this experience would be in terms of the instantiation of new exotic geometries of your own world-simulation. Here I must bring up the analysis of “regular” DMT (i.e. n,n-DMT) experiences through the lens of hyperbolic geometry. Indeed, regular DMT elevates the energy of your consciousness, which manifests in brighter colors, fast movement, intricate and detailed patterns, and as curved phenomenal space. We know this because of numerous trip reports from people well educated in advanced mathematics who claim that the visual symmetries one can experience on DMT (at doses above 10mg) have hyperbolic curvature (cf. hyperbolic orbifolds). It is also consistent with many other phenomena one can experience on DMT (see the Eli 5 for a quick summary). But you should keep in mind that this analysis never claims that you are experiencing directly a mind-independent “hyperspace”. Rather, the analysis focuses on how DMT modifies the geometric properties of your inner world-simulation.

Hyperbolic Geometry of DMT Experiences copy 47

Energy-complexity landscape on DMT

Hyperbolic Geometry of DMT Experiences copy 38

DMT trip progression

Intriguingly, our inner world-simulations work with projective geometry. In normal circumstances our world-simulations have a consistent set of projective points at infinity – they render the modal and amodal features of our experience in projective scenes that are globally consistent. But psychedelics can give rise to this phenomenon of “point-of-view-fragmentation“, where your experience becomes a patchwork of inconsistent projective renderings. So even on “regular” DMT you can get the profound feeling of “seeing something from multiple points of view at once”. Enhanced with hyperbolic geometry, this can cause the stark impression that you can explore “hyperspace” with a kind of “ultra-understanding”.

Looking beyond “regular” DMT, 5-MeO-DMT is yet more crazy than that. You see, even on DMT you get the feeling that you are restricted in the number of points of view from which you can see something at the same time. You can see it from many more points of view than normal, but it’s still restricted. But the extreme “smoothing” of experience that 5-MeO-DMT causes makes it so that you cannot distinguish one point of view from another. So they all blend together. Not only do you experience semantic content from “multiple points of view at once” as in DMT, but you can erase distinctions between points of view so that one’s sense of knowing arises involving a totally new kind of projective effect, in which you actually feel you can see something from “every point of view at once”. It feels that you have unlocked a kind of omniscience. This already happens on other psychedelics to a lesser extent (and in meditation, and even sober life to an even lesser extent, but still there), and it is a consequence of smoothing the geometry of your experience to such an extent that there are no symmetry-breaking imperfections “with which to orient a projective point”. I suspect that the higher “formless” jhanas of “boundless space” and “boundless consciousness” are hitting at this effect. And on 5-MeO-DMT this effect is pronounced. More so, because of the connection between symmetry and smoothness of space (cf. Geometry Through the Eyes of Felix Klein) when this happens you will also automatically be instantiating a high-dimensional group. And according to the Symmetry Theory of Valence, this ought to be extraordinarily blissful. And indeed it is.

This is, perhaps, partly what is going on in the experience that Leo is describing. Again, I am inclined to believe his description, but happy to dismiss his naïve interpretation.

indras_net

Indra’s Net

At 23:15 Leo describes how from his 5-MeO-DMT point of view he realized what “consciousness truly is”. And that is an “infinitely interconnected self-communicating field”. In normal everyday states of consciousness the different parts of your experience are “connected” but not “communicating.” But on 5-MeO, “as you become more conscious, what happens is that every point in space inter-connects with itself and starts to communicate with itself. This is a really profound, shocking, mystical experience. And it keeps getting cranked up more and more and more. You can call it omniscience, or telepathy. And it’s like the universal communication system gets turned on for the first time. Right now your conscious field is not in infinite communication with itself. It’s fragmented and divided. Such that you think I’m over here, you are over there, my computer is over here, your computer is over there…”. He explains that if we were to realize we are all one, we would then instantly be able to communicate between each other.

Here again we get extremely different interpretations of the phenomena Leo describes depending on whether you believe in direct or indirect realism about perception. As Leo implicitly assumes direct realism about perception, he interprets this effect as literally switching on an “universal communication system” between every points in reality, whereas the indirect realist interpretation would be that you have somehow interlocked the pieces of your conscious experience in such a way that they now act as an interconnected whole. This is something that indeed has been reported before, and at QRI we call this effect “network integration“. A simple way of encapsulating this phenomenon would be by saying that the cross-frequency coupling of your nervous system is massively increased so that there is seamless information and energy transfer between vibrations at different scales (to a much lesser extent MDMA also does this, but 5-MeO-DMT is the most powerful “integration aid” we know of). This sounds crazy but it really isn’t. After all, your nervous system is a network of oscillators. It stands to reason that you can change how they interact with one another by fine-tuning their connections and get as a result decoupling of vibrations (e.g. SSRIs), or coupling only between vibrations of a specific frequency (e.g. stimulants and depressants), or more coupling in general (e.g. psychedelics). In particular, 5-MeO-DMT does seem to cause a massively effective kind of fractal coupling, where every vibration can get in tune with every other vibration. And recall, since a lot of our inner world simulation is about representing “external reality”, this effect can give rise to the feeling that you can now instantly communicate with other parts of reality as a whole. This, from my point of view, is merely misinterpreting the experience by imagining that you have direct access to your surroundings.

At 34:52 Leo explains that you just need 5-MeO-DMT to experience these awakenings. And yet, he also claims that everything in reality is imaginary. It is all something that you, as God, are imagining because “you need a story to deny that you are infinite consciousness.” Even though the neurotransmitters are imaginary, you still need to modify them in order to have this experience: “I’m talking about superhuman levels of consciousness. These are not levels of consciousness that you can access sober. You need to literally upgrade the neurotransmitters in your imaginary brain. And yes, your brain is still imaginary, and those neurotransmitters are imaginary. But you still need to upgrade them nevertheless in order to access some of the things I say.”

Needless to say, it’s bizarre that you would need imaginary neurotransmitter-mimicking molecules in your brain in order to realize that all of reality is your own imagination. When you dream, do you need to find a specific drug inside your dream in order to wake up from the dream? Perhaps this view can indeed be steel-manned, but the odds seem stacked against it.

At 38:30 he starts talking about his pornography collection. He assembles nude images of women, not only to relieve horniness, but also as a kind of pursuit of aesthetics. Pictures of nude super-models are some of the most beautiful things a (straight) man can see. He brings this up in order to talk about how he then at some point started exploring watching these pictures on 5-MeO-DMT. Recollecting this brings him to tears because of how beautiful the experiences were. He states “you’ve never really seen porn until you’ve seen it on 5-MeO-DMT.” He claims that he started to feel that this way he really felt that it is you (God) that is beautiful, which is manifested through those pictures.

A robust finding in the psychology of sexual attraction is that symmetry in faces is correlated with attractiveness. Indeed, more regular faces tend to be perceived as more beautiful. Amazingly, you can play with this effect by decorating someone’s face with face-paint. The more symmetrical the pattern, the more beautiful the face looks (and vice-versa). Arguably, the effect Leo is describing where people who are already beautiful become unbelievably pretty on 5-MeO-DMT involves embedding high-dimensional symmetries into the way you render them in your world-simulation. A lesser, and perhaps more reliable, version of this effect happens when you look at people on MDMA. They look way more attractive than what they look like sober.

Leo then brings up (~41:30) that he started to take 5-MeO-DMT on warm baths as well, which he reassures us is not as dangerous as it sounds (not enough water to drown if he experiences a whiteout). [It’s important to mention that people have died by taking ketamine on bath tubs; although a different drug, it is arguably still extremely dangerous to take 5-MeO-DMT alone on a bathtub; don’t do it]. He then has an incredible awakening surrendering to God consciousness in the bathtub, on 5-MeO-DMT, jerking off to beautiful women in the screen of his laptop. He gets a profound insight into the very “nature of desire”. He explains that it is very difficult to recognize the true nature of desire while on a normal level of consciousness because our desires are biased and fragmented. When “your consciousness becomes infinite” those biases dissolve, and you experience desire in its pure form. Which according to his direct experience turned out to be “desire for God, desire for myself”. And this is because you are, deep down “infinite love”. When you desire a husband, or sex, or whatever, you are really desiring God in disguise. But the problem is that since your path to God is constrained by the form you desire, your connection to God is not stable. But once you have this experience of complete understanding of what desire is, you finally get your desire fully quenched by experiencing God’s love.

This is a very deep point. It is related to what I’ve sometimes called the “most important philosophical question“, which is: is valence a spiritual phenomenon or spirituality a valence phenomenon? In other words, do we find experiences of God blissful because they have harmony and symmetry, or perhaps is it the other way around, where even the most trivial of pleasures, like drinking a good smoothy, feels good because it temporarily “gets you closer to God”? I lean towards the former, and that in fact mystical experiences are so beautiful because they are indeed extremely harmonious and resonant states of consciousness, and not because they take you closer to God. But I know very smart people who can’t decide between these views. For example, my friend Stuart Garvagh writes: 

What if the two options are indistinguishable? Suppose valence is a measure of the harmony/symmetry of the object of consciousness, and the experience of “Oneness” or Cosmic Consciousness is equivalent to having the object of consciousness be all of creation (God‘s object), a highly symmetrical, full-spectrum object (full of bliss, light, love, beingness, all-knowledge, empty of discernible content or information). All objects of consciousness are distortions (or refractions, or something) of this one object. Happiness is equivalent to reducing or “polishing-out” these distortions. Thus, what appears to be just the fact of certain states being more pleasant than others is equivalent to certain states being closer to God‘s creation as a whole. Obviously this is all pure speculation and just a story to illustrate a point, but I could see it being very tough to tease apart the truth-value of 1 and 2. Note: I’m fairly agnostic myself, but lean towards 2 (bliss is the perfume of “God realizing God” or the subject of experience knowing Itself). I would very much love to have this question answered convincingly!

At 50:00 Leo says that “everything I’ve described so far is really a prelude to the real heart of awakening, which is the discovery of love. […] I had already awakened to love a number of times, but this was deeper. By the two week mark the love really started to crack open. Infinite self-love. You are drowning on this love.” He goes on to describe how at this point he was developing a form of telepathy that allowed him to communicate with God directly (which is, of course, a way of talking to himself as he is God already). It’s just a helpful way to further develop. And what God was showing him was how to receive self-love. It was so much at first he couldn’t handle it. And so he went through a self-purification process.

An interesting lens with which to interpret this experience of purification is that of neural annealing. Each 5-MeO-DMT experience would be making Leo’s nervous system resonate in ways in new ways, slowly writing over previous patterns and entraining the characteristic high-symmetry patterns of the state. Over time, the nervous system adjusts its weights in order to be able to handle that resonance without getting its patterns over-written. In other words, Leo has been transforming his nervous system into a kind of high-valence machine, which is of course very beneficial for intrinsic feelings of wellbeing (though perhaps detrimental to one’s epistemology).

55:00: He points out that unlike addictive drugs, he actually had to push himself very hard to continue to take 5-MeO-DMT everyday for 30 days. He stopped wanting to do it. The ego didn’t want it. And yes, it was pleasurable once he surrendered on every session, but it was difficult, heavy spiritual work. He says that he could only really do this because of years of practice with and without psychedelics, intense meditation, and a lot of personal development. And because of this, he explains his 5-MeO experiences felt like “years of spiritual work condensed into a single hour.” He then says that God will never judge you, and will help you to accept whatever terrible things you’ve done. And many of his subsequent trips were centered around self-acceptance. 

Following the path of progressive neural annealing, going deeper and deeper into a state of self-acceptance can be understood as a deeper harmonization of your nervous system with itself.

At 1:01:20, Leo claims to have figured out what the purpose of reality truly is: “Reality is a contest for who can love who more. That’s really what life is about when you are fully conscious. […] Consciousness is a race for who can love who more. […] An intelligent fully conscious consciousness would only be interested in love. It wouldn’t be interested in anything else. Because everything else is inferior. […] Everything else is just utter silliness!”

I tend to agree with this, though perhaps not in an agentive way. As David Pearce says: “the pleasure-pain axis discloses the universe’s intrinsic value function.” So when you’ve annealed extremely harmonious patterns and do not get distracted by negative emotion, naturally, all there is left to do is maximize love. Unless we mess up, this is the only good final destiny for the cosmos (albeit perhaps it might take the form of a Hedonium shockwave, which at least in our current human form, sound utterly unappealing to most people).

1:06:10 “[God’s love] sparks you to also want to love it back. You see, it turns into a reciprocal reaction, where it is like two mirrors that are mirroring light between each other like a laser beam that is bouncing between two mirrors. And it’s bouncing back and forth and back and forth. And as it bounces back and forth it becomes more and more concentrated. And it strengthens. And it becomes more coherent. And so that’s what started happening. At first it started out as just a little game. Like ‘I love you, I love you, I love you’. A little game. It sounds like it’s almost like childish. And it sort of was. But then it morphed from being this childish thing, into being this serious existential business. This turned into the work. This was the true awakening. Is that with the two mirrors, you know, first it took a little while to get the two mirrors aligned. Because you know if the two mirrors are not perfectly aligned, the laser beam will kind of bounce back and forth in different directions. It’s not going to really concentrate. So that was happening at first. […] The love started bouncing back and forth between us, and getting stronger and stronger. […] Each time it bounces back to me it transforms me. It opens me up deeper. And as it opens me up deeper it reveals blockages and obstacles to my capacity to love.”

Now this is a fascinating account. And while Leo interprets it in a completely mystical way, the description also fits very well an annealing process where the nervous system gets more and more fine-tuned in order to be able to contain high levels of coherent energy via symmetry. Again, this would be extremely high-valence as a consequence of the Symmetry Theory of Valence. Notice that we’ve talked about this phenomenon of “infinite mirrors” on psychedelics since 2016 (see: Algorithmic Reduction of Psychedelic States).

At ~1:09:30 he starts discussing that at this point he was confronted by God about whether he was willing to love the holocaust, and rape, and murder, and bullies, and people of all sorts, even devil worshipers. 

Two important points here. First, it is a bit ambiguous whether Leo here is using the word “love” in the sense of “enjoyment” or in the sense of “loving-kindness and compassion”. The former would be disturbing while the latter would be admirable. I suppose he was talking about the latter, in which case “loving rape” would refer to “being able to accept and forgive those who rape” which indeed sounds very Godly. This radical move is explored in metta (loving-kindness) meditation and it seems healthy on the whole. And second: Why? Why go through the trouble of embracing all the evil and repulsive aspects of ourselves? One interpretation here, coming back to the analysis based on neural annealing, is that any little kink or imperfection caused by negative emotion in our nervous system will create slight symmetry breaking effects on the resonance of the entire system as whole. So after you’ve “polished and aligned the mirrors for long enough” the tiny imperfections become the next natural blockage to overcome in order to maximize the preservation of coherent energy via symmetry.

~1:12:00 Leo explains that the hardest thing to love is your own self-hatred. In the bouncing off of the love between you and God, with each bounce, you find that the parts you hate about yourself reflect an imperfect love. But God loves all of you including your self-hatred. So he pings you about that. And once you can accept it, that’s what truly changes you. “Because when you feel that love, and you feel how accepting it is, and how forgiving it is of all of your evil and of all of your sins… that’s the thing that kills you, that transforms you. That’s what breaks your heart, wide open. That’s what gets you to surrender. That’s what humbles you. That’s what heals you.” Leo then explains that he discovered what “healing is”. And it is “truth and love”. That in order to heal anyone, you need to love them and accept them. Not via sappy postcards and white lies but by truth. He also states that all physical, mental, and spiritual ailments have, at their root, lack of love.

If love is one of the cleanest expressions of high-valence symmetry and resonance, we can certainly expect that inundating a nervous system with it will smooth and clean its blockages, i.e. the sources of neural dissonance. Hence the incredible power of MDMA on healing nervous systems in the short-term. Indeed, positive emotion is itself healing and enhances neural coherence. But where I think this view is incomplete is in diagnosing the terrible suffering that goes on in the world in terms of a lack of love. For instance, are cluster headaches really just the result of lack of self-love? In here must bring back the background assumption of physicalism and make a firm statement that if we fall into illusion about the nature of reality we risk not saving people (and sentient beings more generally) who are really in the depth of Hell. Just loving them without taking the causally-relevant physical action to prevent their suffering is, in my opinion, not true love. Hence the importance of maintaining a high level of epistemic rigor: for the sake of others. (See: Hell Must Be Destroyed).

1:22:30 Leo explains that in this “love contest” with God of bouncing off love through parallel mirrors the love became so deep that for the first time in his life he felt the need to apologize: “I’m sorry for not loving more.” He goes into a sermon about how we are petty, and selfish, etc. and how God loves us anyway. “Real love means: I really love you as you are. And I don’t need anything from you. And especially all those things that you think I want you to change about you, I don’t need you to change. I can accept them all exactly as they are. Because that’s love. And when you realize THAT, that’s what transforms you. It is not that God says that he loves you. He is demonstrating it. It’s the demonstration that transforms you.” Leo expresses that he was then for the first time in his life able to say “thank you” sincerely. Specifically, “thank you for your love”: “This is the point at which you’ve really been touched by God’s love. And at this point you realize that that’s it, that’s the point, that’s the lesson in life. That’s my only job. It’s to love.” And finally, that for the first time in his life he was able to say “I love you” and truly mean it. “And you fall in love with God… but it doesn’t end there.”

An interesting interpretation of the felt-sense of “truly meaning” words like “I’m sorry”, “thank you”, and “I love you” is that at this point Leo has really deeply annealed his nervous system into a vessel for coherent energy. In other words, at this point he is saying and meaning those words through the whole of his nervous system, rather than them coming from a fragmented region of a complex set of competing internal family systems in a scattered way. Which is, of course, the way it usually goes.

1:35:30 Leo explains that at this point he started going into the stage of being able to radiate love. That he was unable to radiate love before. “I love that you are not capable of love. I love that. And when that hits you, that’s what fills you with enough love to overcome your resistance to love that next level thing that you couldn’t love.” Then at ~ 1:38:00 it gets really serious. Leo explains that so far he was just loving and accepting past events and people. But he was then asked by God whether he would be willing to live through the worst things that have happened and will happen. To incarnate and be tortured, among many other horrible things. And that’s what true love really means. “When you see a murder on the TV, you have to realize that God lived through that. And the only reason he lived through that is because it loved it.”

I do not understand this. Here is where the distinction between the two kinds of senses of the word “love” become very important. I worry that Leo has annealed to the version of love with the meaning of “enjoyment” rather than “loving-kindness and compassion”. Because a loving God would be happy to take the place of someone who went through Hell. But would a loving God send himself to Hell if nobody had to in the first place? That would just create suffering out of nothing. So I am confused about why Leo would believe this to be the case. It’s quite possible that there are many maxima of symmetry in the nervous system you can achieve with 5-MeO-DMT, and some of them are loving in the sense of compassionate and others are crazy and would be willing to create suffering out of nothing from a misguided understanding of what love is supposed to be. Again, handle Plutonium with caution.

1:43:00 Leo started wondering “what is reality then?” And the answer was: “It’s infinite consciousness. Infinite formless consciousness. So what happens was that my mind in my visual field as I was in that bathtub. My mind and my visual field focused in on empty space, and I sort of zoomed into that empty space and realized that that empty space is just love”. He then describes a process where his consciousness became more and more concentrated and absorbed into space, each dot of consciousness branching out into more and more dots of consciousness, turning into the brightest possible white light. But when he inquired into what was that white light he kept seeing that there was no end to it, and rather, that each point was always connected to more points. Inquiring further, he would get the response that at the core, reality is pure love. That it wouldn’t be and couldn’t be any other way.

The description sounds remarkably close to the formless jhanas such as “boundless space” and “boundless consciousness”. The description itself is extremely reminiscent of an annealing process, reaching a highly energized state of consciousness nearly devoid of information content and nearly perfectly symmetrical. The fact that at this incredibly annealed level he felt so much love supports the Symmetry Theory of Valence.

147:28 – And after Leo realizes that “Of course it is love!” he says that’s when the fear comes: “Because then what you realize is that this is the end. This is the end of your life. You are dead. If you go any further you are dead. Everything will disappear. Your family, your friends, you parents, all of it is completely imaginary. And if you stop imagining it right now, it will all end. If you go any further into this Singularity, you will become pure, formless, infinite, love for ever, loving itself forever. And the entire universe will be destroyed as if it never existed. Complete nothingness. Complete everythingness. You will merge into everyone.”

This sounds like the transition between the 6th and 7th Jhana, i.e. between “boundless consciousness” and “nothingness”. Again, this would be the result of further loss of information via an annealing process, refining the symmetry up to that of a “point”. Interestingly, Mike Johnson in Principia Quallia points out that as symmetry approaches an asymptote of perfection you do get a higher quality of valence but at the cost of reduced consciousness. This might explain why you go from “the brightest possible love” to a feeling of nothingness at this critical transition.

1:48:25: “…You will merge into everyone. Your mother, your father, your children, your spouse, Hitler, terrorists, 9/11, Donald Trump, rape, murder, torture, everything will become pure infinite love, merging completely into itself, there will be no distinction between absolutely anything, and that will be the end. And you will realize what reality is. Infinite consciousness. Love. God. And you will realize that everything in your life from your birth to this point has just been some imaginary story. A dream that was design to lead you to pure absolute infinite love. And you will rest in that love forever. Forever falling in love with yourself. Forever making love to yourself. Forever in infinite union. With every possible object that could ever exist. Pure absolute, omnipotent, omniscient, perfect, intelligent, consciousness. Everything that could ever possibly be, is you. And THAT is awakening. When you are this awake, you are dead. And you have no desire for life. There is no physical existence. There is no universe. Nothing remains. Your parents, and your spouse, and your children, they don’t stay back and keep living their lives, enjoying their life without you while your body drops dead. No, no, no, no, no. This is much more serious than that. If you do this. If you become infinite love, you will take everybody with you. There will not be anybody left. You will destroy the entire universe. Every single sentient being will become you. They will have no existence whatsoever. Zero. They will die with you. They will all awaken with you. It’s infinite awakening. It’s completely absolute. There will not be anything left. You will take the entire universe with you. Into pure oneness. THAT’S awakening.”

This is not the first time I hear about this kind of experience. It certainly sounds extraordinarily scary. Though perhaps a negative utilitarian would find it to be the ultimate relief and the best of all possible imaginable outcomes. With the human survival instinct, and quite possibly a body fully aroused with the incredible power of 5-MeO-DMT, this is bound to be one of the most terrifying feelings possible. It’s quite likely that it may be one element of what makes “bad 5-MeO-DMT experiences” so terrifying. But here we must recall that the map is not the territory. And while an annealing process might slowly write over every single facet of one’s model of reality and in turn making them part of a super-cluster of high-dimensional resonance that reflects itself seemingly infinitely, doing this does not entail that you are in fact about to destroy the universe. Though, admittedly, it will surely feel that way. Additionally, I would gather that were it possible to actually end the universe this way, somebody, somewhere, in some reality or another, would have already done so. Remember that if God could be killed, it’d be dead already.

1:52:01: “And I didn’t go there! As you can tell, since I’m still sitting here. I’m not there. I was too afraid to go there. And God was fine with it. It didn’t push me. But that’s not the end of the story! It’s still just the beginning.” He then goes on to explain that a part of him wanted to do it and another part of him didn’t want to. He says it got really loopy and weird; this really shook him. That God was beckoning him to go and be one forever, but he was still ambivalent and needed some time to think about it. He knew it would make no difference, but he still decided to ‘make preparations’ and tell his family and friends that he loves them before moving forward with a final decision to annihilate the universe. By the time he had done that… he had stopped taking 5-MeO-DMT: “The experiences had gotten so profound and so deep… this was roughly the 25th or 27th day of this whole 30 day process. I swore off 5-MeO-DMT and said ‘Ok I’m not doing any more of this shit. It’s enough'”. He explains that by this time the drug was making him feel infinite consciousness when waking up (from sleep) the next day. He felt the Singularity was sucking him into it. It felt both terrifying and irresistible. Every time he would go to sleep it would suck him in really strongly, and he kept resisting it. He would wake up sweaty and in a panic. He was tripping deeper in his sleep than in the bathtub. He couldn’t sleep without this happening, and it kept happening for about 5 days. “I just want to get back to normal. This is getting freaky now.” 

I’ve heard this from more than a couple people. That is, that when one does 5-MeO-DMT enough times, and especially within a short enough period of time, the “realizations” start to also happen during sleep in an involuntarily way. One can interpret this as the annealing process of 5-MeO-DMT now latching on to sleep (itself a natural annealing process meant to lessen the technical debt of the nervous system). Even just a couple strong trips can really change what sleep feels like for many days. I can’t imagine just how intense it must have been for Leo after 25 days straight of using this drug.

2:01:40 – Leo explains that when he was dozing off with a blanket on his living room (terrified of sleeping on his bed due to the effect just described) he experienced a “yet deeper awakening” which involved realizing that all of his previous awakenings were just like points and that the new one was like a line connecting many points. “Everything I’ve said up to this point were just a single dimension of awakening. And then what I broke through to is a second dimension. A second dimension of awakening opened up. This second dimension is completely unimaginable, completely indescribable, cannot be talked about, cannot be thought about. And yet it’s there. In it, are things that are completely outside of the physical universe that you cannot conceive or imagine.” He goes on to explain that there are then also a third, fourth, fifth, etc. dimensions. And that he believes there is an infinite number of them. He barely even began to explore the second dimension of awakening, but he realized that it goes forever. It kept happening, he had intense emotional distress and mood swings. But gradually after five more days it subsided, and he started to be able to sleep more normally. “And I’ve been working to make sense of all of this for the last couple of weeks. So that’s what happened.”

Alright, this is out of my depth and I do not have an interpretation of what this “second dimension of awakening” is about. If anyone has any clue, please leave a comment or shoot me an email. I’m as as confused as Leo is about this.

~2:05:00 – Leo confesses he does not know what would happen if he went through with joining the Singularity and mentions that it sounds a bit like Mahasamādhi. He simply has not answers at this point, but he asserts that the experience has made him question the extent of the enlightenment of other teachers. It also has made him more loving. But still, he feels frustration: “I don’t know what to do from here.”

And neither do I. Do you, dear reader?

Postscript: In the last 10 minutes of the video Leo shares a heart warming message about how reality is, deep down, truly, “just love” and that him saying this may be a seed that will blossom into you finding this out for yourself at some point in the future. He ends by cautioning his audience to not believe as a matter of fact that this is the path for everyone. He suggests that others should just use his examples from his own journey as examples rather than an absolute guide or how-to for enlightenment. He asks his audience to make sure to question the depth of their own awakening – to not believe that they have reached the ultimate level. He admits he has no idea whether there is an ultimate level or not, and that he still has some healing to do on himself. He remains dissatisfied with his understanding of reality.


Thank you for reading!

THE END

Geometry Through the Eyes of Felix Klein

Excerpt from Visual Complex Analysis (1997) by Tristan Needham (pgs. 30-34)

Geometry Through the Eyes of Felix Klein

Even with the benefit of enormous hindsight, it is hard to introduce complex numbers in a compelling manner. Historically, we have seen how cubic equations forced them upon us algebraically, and in discussing Cotes’ work we saw something of the inevitability of their geometric interpretation. In this section we will attempt to show how complex numbers arise very naturally, almost inevitably, from a careful re-examination of plane Euclidean geometry.[10]

[…]

Although the ancient Greeks made many beautiful and remarkable discoveries in geometry, it was two thousand years later that Felix Klein first asked and answered the question, “What is geometry?”

Let us restrict ourselves from the outset to plane geometry. One might begin by saying that this is the study of geometric properties of geometric figures in the plane, but what are (i) “geometric properties”, and (ii) “geometric figures”? We will concentrate on (i), swiftly passing over (ii) by interpreting “geometric figure” as anything we might choose to draw on an infinitely large piece of flat paper with an infinitely fine pen.

As for (i), we begin by noting that if two figures (e.g., two triangles), have the same geometric properties, then (from the point of view of geometry) they must be the “same”, “equal”, or, as one usually says, congruent. Thus if we had a clear definition of congruence (“geometric equality”) then we could reverse this observation and define geometric properties as those properties that are common to all congruent figures. How, then, can we tell if two figures are geometrically equal?

Consider the triangles in [fig 23], and imagine that they are pieces of paper you could pick up in your hand. To see if T is congruent with T’, you could pick up T and check whether it could be placed on top of T’. Note that it is essential that we be allowed to move in space: in order to place T on top of T˜ we must first flip it over; we can’t just slide T around within the plane. Tentatively generalizing, this suggests that a figure F is congruent to another figure F’ if there exists a motion of F through space that makes it coincide with F’. Note that the discussion suggests that there are two fundamentally different types of motion: those that involve flipping the figure over, and those that do no. Later, we shall return to this important point.fig_23

It is clearly somewhat unsatisfactory that in attempting to define geometry in the plane we have appealed to the idea of motion through space. We now rectify this. Returning to [fig 23], imagine that T and T’ are drawn on separate, transparent sheets of plastic. Instead of picking up just the triangle T, we now pick up the entire sheet on which it is drawn, then try to place it on the second sheet so as to make T coincide with T’. At the end of this motion, each point A on T‘s sheet lies over a point A’ of T’‘s sheet, and we can now define the motion M to be this mapping AA’ = M(A) of the plane to itself.

However, not any old mapping qualifies as a motion, for we must also capture the (previously implicit) idea of the sheet remaining rigid while it moves, so that distances between points remain constant during the motion. Here, then, is our definition:

A motion M is a mapping of the plane to itself such that the distance between any two points A and B is equal to the distance between their images A’ = M(A) and B’ = M(B). (22)

Note that what we have called a motion is often termed a “rigid motion”, or an “isometry”.

Armed with this precise concept of motion, our final definition of geometric equality becomes:

F is congruent to F’, written F ≅ F’, if there exists a motion M such that F’ = M(F). (23)

Next, as a consequence of our earlier discussion, a geometric property of a figure is one that is unaltered by all possible motions of the figure. Finally, in answer to the opening question of “What is geometry?”, Klein would answer that it is the study of these so-called invariants of the set of motions.

One of the most remarkable discoveries of the last century was that Euclidean geometry is not the only possible geometry. Two of these so-called non-Euclidean geometries will be studied in Chapter 6, but for the moment we wish only to explain how Klein was able to generalize the above ideas so as to embrace such new geometries.

The aim in (23) was to use a family of transformations to introduce the concept of geometric equality. But will this ≅-type of equality behave in the way we would like and expect? To answer this we must first make these expectations explicit. So as not to confuse this general discussion with the particular concept of congruence in (23), let us denote geometric equality by ~.

(i) A figure should equal itself: F ~ F’, for all F.

(ii) If F equals F’, then F’ should equal F: F ~ F’F’ ~ F.

(iii) If F and F’ are equal, and F’ and F” are equal, then F and F” should also be equal: F ~ F’ & F’ ~ F”F ~ F”.

Any relation satisfying these expectations is called an equivalence relation.

Now suppose that we retain the definition (23) of geometric equality, but that we generalize the definition of “motion” given in (22) by replacing the family of distance-preserving transformations with some other family G of transformations.

It should be clear that not any old G will be compatible with our aim of defining geometric equality. Indeed, (i), (ii), and (iii) imply that G must have the following very special structure, which is illustrated[11] in [fig 24].

(i) The family G must contain a transformation ε (called identity) that maps each point to itself.

(ii) If G contains a transformation M, then it must also contain a transformation M-1 (called the inverse) that undoes M. [Check for yourself that for M-1 to exist (let alone be a member of G) M must have the special properties of being (a) onto and (b) one-to-one, i.e., (a) every point must be the image of some point, and (b) distinct points must have distinct images.]

(iii) If and N are members of G then so is the composite transformation N ∘ M = (followed by N). This property of G is called closure.

We have thus arrived, very naturally, at a concept of fundamental importance in the whole of mathematics: a family G of transformations that satisfies these three[12] requirements is called a group.fig_24

Let us check that the motions defined in (22) do indeed form a group: (i) Since the identity transformation preserves distances, it is a motion. (ii) Provided it exists, the inverse of a motion will preserve distances and hence will be a motion itself. As for existence, (a) it is certainly plausible that when we apply a motion to the entire plane then the image is the entire plane — we will prove this later — and (b) the non-zero distance between distinct points is preserved by a motion, so their images are again distinct. (iii) If two transformations do not alter distances, then applying them in succession will not alter distances either, so the composition of two motions is another motion.

Klein’s idea was that we could first select a group G at will, then define a corresponding “geometry” as the study of the invariants of that G. [Klein first announced this idea in 1872 — when he was 23 years old! — at the University of Erlangen, and it has thus come to be known as his Erlangen Program.] For example, if we choose G to be the group of motions, we recover the familiar Euclidean geometry of the plane. But this is far from being the only geometry of the plane, as the so-called projective geometry of [fig 24] illustrates.

Klein’s vision of geometry was broader still. We have been concerned with what geometries are possible when figures are drawn anywhere in the plane, but suppose for example that we are only allowed to draw within some disc D. It should be clear that we can construct “geometries of D” in exactly the same way that we constructed geometries of the plane: given a group H of transformations of D to itself, the corresponding geometry is the study of the invariants of H. If you doubt that any such group exists, consider the set of all rotations around the center of D.

The reader may well feel that the above discussion is a chronic case of mathematical generalization running amuck — that the resulting conception of geometry is (to coin a phrase) “as subtle as it is useless”. Nothing could be further from the truth! In Chapter 3 we shall be led, very naturally, to consider a particularly interesting group of transformations of a disc to itself. The resulting non-Euclidean geometry is called hyperbolic or Lobachevskian geometry, and it is the subject of Chapter 6. Far from being useless, this geometry has proved to be an immensely powerful tool in diverse areas of mathematics, and the insights it continues to provide lie on the cutting edge of contemporary research.


[10] The excellent book by Nikulin and Shafarevich [1987] is the only other work we know of in which a similar attempt is made.

[11] Here G is the group of projections. If we do a perspective drawing of figures in the plane, then the mapping from the plane to the “canvas” plane is called a perspectivity. A projection is then defined to be any sequence of perspectivities. Can you see why the set of projections should form a group?

[12] In more abstract settings it is necessary to add a fourth requirement of associativity, namely, A∘ (B∘ C) = (A∘ B)∘ C. Of course for transformations this is automatically true.



See also:

  1. The Hyperbolic Geometry of DMT Experiences (@Harvard Science of Psychedelics Club)
  2. Materializing Hyperbolic Spaces with Gradient-Index Optics and One-Way Mirrors
  3. An Intuitive Explanation of the Symmetry Theory of Valence
  4. Principia Qualia: Part II – Valence
  5. Problems you can solve just by looking at them: The meaning of Noether’s Theorem
  6. Quantifying Bliss

Note: QRI‘s Symmetry Theory of Valence (STV) refers to the claim that valence (the pleasure-pain axis) manifests in the symmetry of the mathematical object that corresponds to each experience such that the mathematical features of that object are isomorphic to the phenomenal character of that experience. Using the lens of Klein’s conception of geometry, one could in turn give to STV a strictly geometrical interpretation. Namely, that the shape of one’s experience will be of high valence when it contains geometric invariants. In addition, Noether’s theorem (one of QRI’s lineages, which states that “every differentiable symmetry of the action of a physical system has a corresponding conservation law”) along with physicalism of consciousness suggests that for every symmetry in the mathematical object that corresponds to consciousness there is a corresponding preserved quantity. Thus, one could posit– assuming that the STV is correct– high-valence states might be extremely energy-efficient in addition to feeling good.

We are currently preparing a paper that ties all of these threads together in a way that, we believe, may turn out to have tremendous explanatory power. In particular, this formal account of valence will be able to explain succinctly a wide range of disparate and exotic empirical phenomena such as:

  1. Why phenomenal symmetry during psychedelic experiences is correlated with more extreme valence values.
  2. How and why Jhanas present the way they do, namely, as having:
    1. Extremely positive valence,
    2. Profound phenomenal simplicity, and
    3. Unusually high levels of energy-efficiency all at once.
  3. The fact that moments of eternity are typically extremely blissful.
  4. Why the phenomenal character of MDMA and 5-MeO-DMT manifest as both extremely symmetrical and high-valence.
  5. Why intense regular stroboscopic stimulation has deep emotional effects.
  6. And so much more…

Stay tuned!


Thanks to Alfredo Valverde de Loyola for pointing me to this excerpt in the book Visual Complex Analysis.

Binding Quiddities

Excerpt from The Combination Problem for Panpsychism (2013) by David Chalmers


[Some] versions of identity panpsychism are holistic in that they invoke fundamental physical entities that are not atomic or localized. One such view combines identity panpsychism with the monistic view that the universe itself is the most fundamental physical entity. The result is identity cosmopsychism, on which the whole universe is conscious and on which we are identical to it. (Some idealist views in both Eastern and Western traditions appear to say something like this.) Obvious worries for this view are that it seems to entail that there is only one conscious subject, and that each of us is identical to each other and has the same experiences. There is also a structural mismatch worry: it is hard to see how the universe’s experiences (especially given a Russellian view on which these correspond to the universe’s physical properties) should have anything like the localized idiosyncratic structure of my experiences. Perhaps there are sophisticated versions of this view on which a single universal consciousness is differentiated into multiple strands of midlevel macroconsciousness, where much of the universal consciousness is somehow hidden from each of us. Still, this seems to move us away from identity cosmopsychism toward an autonomous cosmopsychist view in which each of us is a distinct constituent of a universal consciousness. As before, the resulting decomposition problem seems just as hard as the combination problem.

Perhaps the most important version of identity panpsychism is quantum holism. This view starts from the insight that on the most common understandings of quantum mechanics, the fundamental entities need not be localized entities such as particles. Multiple particles can get entangled with each other, and when this happens it is the whole entangled system that is treated as fundamental and that has fundamental quantum-mechanical properties (such as wave functions) ascribed to it. A panpsychist might speculate that such an entangled system, perhaps at the level of the brain or one of its subsystems, has microphenomenal properties. On the quantum holism version of identity panpsychism, macrosubjects such as ourselves are identical to these fundamental holistic entities, and our macrophenomenal properties are identical to its microphenomenal properties.

This view has more attractions than the earlier views, but there are also worries. Some worries are empirical: it does not seem that there is the sort of stable brain-level entanglement that would be needed for this view to work. Some related worries are theoretical: on some interpretations of quantum mechanics the locus of entanglement is the whole universe (leading us back to cosmopsychism), on others there is no entanglement at all, and on still others there are regular collapses that tend to destroy this sort of entanglement. But perhaps the biggest worry is once again a structural mismatch worry. The structure of the quantum state of brain-level systems is quite different from the structure of our experience. Given a Russellian view on which microphenomenal properties correspond directly to the fundamental microphysical properties of these entangled systems, it is hard to see how they could have the familiar structure of our macroexperience.

The identity panpsychist (of all three sorts) might try to remove some of these worries by rejecting Russellian panpsychism, so that microphenomenal properties are less closely tied to microphysical structure. The cost of this move is that it becomes much less clear how these phenomenal properties can play a causal role. On the face of it they will be either epiphenomenal, or they will make a difference to physics. The latter view will in effect require a radically revised physics with something akin to our macrophenomenal structure present at the basic level. Then phenomenal properties will in effect be playing the role of quiddities within this revised physics, and the resulting view will be a sort of revisionary Russellian identity panpsychism.

Break Out of the Simulation Day: Televised Entity Contact, Injection Pulling Experiments, and the Brain as a Game Engine

[Epistemic Status: Wild Speculations]

TL;DR I came up with a new way to test the reality of DMT entities!

Core idea: Look for signatures of injection pulling in the brain’s connectome-specific harmonic waves. This would distinguish between mere hallucinations (however weird they may feel) and hallucinations being driven by an external source.

Like the study about whether psychedelics can help you see through different Everett branches of the multiverse, I don’t expect the results of this experiment to come out positive. But it’s exciting to see a testable prediction on an otherwise so difficult-to-approach subject matter.


Televised Entity Contact

I think that we can basically assume that a certain percentage of people who vaporize DMT will believe that they contacted mind-independent beings. This is likely the result of hallucinations, but naïve realism and a bias to interpret more intense and detailed qualia as “more real than real external information” is so deeply ingrained that we can take it as a matter of fact that, say, 50%+ of people won’t be able to override their felt-sense of entity presence with heady philosophical epistemic rigor like discussions about the pseudo-time arrow, valence structuralism, or indirect realism about perception.

Is there anything we can do with that? Think of it from an economics arbitrage point of view. If we predict that X number of people will newly believe in DMT entities next year, is there an opportunity there?

I was thinking yesterday on a walk about how “Storm Area 51” is a reality check of sorts for the general public. As in – yes Area 51 is a thing, and no, you can’t just invade it with 100,000 people Naruto running towards it. It was predictable that would be the case, but going through the act in a collective and televised fashion was an interesting exercise in societal epistemology.

 

 

This slideshow requires JavaScript.

Along those lines, I suggest that a “Break Out of the Simulation Day” event could be organized. That day we would have, on LIVE TV, people doing DMT trying to contact aliens as a medium, the camera going from one person to the next, always making sure that whoever has the microphone is currently peaking on DMT.

So if the DMT Elves are mind-independent sentient beings and want to send a coherent message to humanity, then that would be the time and place to do it. They would have all of our attention.


Perhaps it is unreasonable to expect DMT Elves to send a coherent message when, surprise surprise, they are on LIVE TV all of a sudden. And this is not only because they won’t have time to dress up. According to people who have tried DMT many times and believe it puts you in contact with other dimensions (cf. Dick Khan’s 600 DMT trip reports) there is an entire ecosystem of entities to contact, each of them with special gifts, powers, intentions, and styles. There are jesters, robots, greys, Archons, angels, demons, wireheading specialists, used alien spaceship dealers (those are the worst), etc. There are entire categories of entities whose sole purpose is to convince you that you are dead, or that you are in a simulation, or that the government is out to get you. There are entire species of entities of the sort that show you how to use sound to create thought-forms, and those that like to discuss with you the impact that the Greeks and Aztecs had on the aesthetics of the reptilians (i.e. interdimensional art historians). You cannot expect to be lucky and get a reasonable DMT entity who (1) will figure out what is going on, and (2) has good intentions for humanity. Perhaps we would be opening ourselves up to influence by incompetent, evil, or incompetent and evil entities. Worse, we would be doing so on LIVE TV!

17304377705-b84a727933-z_orig

by Steven Haman (source)

Testing the Mind-Independent Existence of DMT Entities

Ok, so maybe televising the experiment is a bad idea. Back to the drawing board. Let’s ask: what are the main ways to prove the independent existence of DMT entities? How would serious researchers[1] approach this problem? As far as I can tell, there are three big categories of methods:

  1. Psi-based (having them tell you something about the world you would have no way of knowing otherwise)
  2. Computation-based (having them solve a problem that requires much more computational power than what is available to you with your brain alone)
  3. Quasi-Physical interference-based (have entities literally poke, shake, vibrate, excite, or inhibit your body or nervous system in ways that are impossible on their own)

The Psi-based category is the most well-known, and it includes tests such: (a) asking the entities what your family members are doing right now, (b) having them tell you what is inside a sealed box, (c) having them predict what tomorrow’s lottery numbers will be, and so on. While many people claim to have learned valuable information from DMT entities, I’ve yet to see credible reports of positive tests of this kind.

The computation-based category is perhaps best exemplified by Marko Rodriguez’ suggestion of having the entities factorize a large number for you. This method was popularized by Scott Alexander’s now-famous short story Universal Love, Said the Cactus Person, and then later Gwern made an estimate of the cost of such an experiment. It turns out that testing the hypothesis this way could be as cheap as one thousand (of 2015) dollars. Unfortunately, this test is very hard to conduct (saying 200 digits while on DMT and memorizing sets of numbers with dozens of digits the elves return to you as an answer is not an easy task). So other difficult-to-compute but easy-to-articulate and fast-to-memorize problems might be a better fit in this case. I predict it is only a matter of time before someone seriously tries a variant of this method and reports the results online. I would just caution that, depending on the computational task selected, one may inadvertently discover new computational applications of the DMT state rather than prove the existence of mind-independent DMT entities. After all, unusual states of consciousness may have unique computational trade-offs. See for example: Thinking in Numbers, How to Secretly Communicate with People on LSD, and the discussion about the possible applications for mathematical research of the hyperbolic phenomenal space disclosed during DMT intoxication. Indeed, I would not be surprised to find out that in the year 2100 many of the most important mathematical breakthroughs are taking place in consciousness research centers thanks to having identified states of consciousness capable of rendering exotic mathematical objects and their possible transformations. So before concluding the DMT Elf solved your computationally-demanding problem, it would be important to rule out that it wasn’t you (or the DMT-filled version of you) who solved the problem thanks to novel qualia varieties only disclosed in such a state. That said, this concern only applies to computational tasks that are not extremely difficult. If a DMT alien can factorize a 3000-digit number in 10 seconds then we could actually reasonably conclude that it exists in a mind-independent way.

Now, the 3rd approach is, IMO, both the most likely to work in practice, and also the most spooky and frightening were the results to come out positive. Here is why. I’ve recently received trip reports from rational psychonauts who have taken DMT hundreds of times, and it seems clear that there is a vast number of qualitatively distinct state-spaces disclosed by this substance. One of these such relatively rare idiosyncratic responses caught my attention, and I think it warrants closer scientific scrutiny. Namely, I’ve received reports that when the psychonaut is either tired or has been drinking (why anyone would dare take DMT while drunk is beyond me, but for science-I guess-someone already did it) there is a different kind of experience of a rather unpleasant nature that unfolds. This type of DMT experience is described as getting in contact with the “lower levels of the astral plane” in which parasitic etheric life-forms live (not my words). During such an experience, one may feel that these beings “jitter” your nervous system without asking for your permission to do so. And this is done in such a way that your body may literally get up and dance, as if possessed by a spirit, without your conscious control. In a less extreme presentation of this phenomenon, at the very least the entities seem to jerk one’s extremities whether or not you like it. For example, in one of these trip reports someone described having their arm being pulled and jerked left and right by a demon of sorts while at the same time insectoid life-forms crawled inside their body, into the veins of the tripper. Needless to say, this is a profoundly unpleasant experience, no doubt, but perhaps it is also one of the most empirically testable of the bunch.

Injection Pulling Experiments

The big-picture idea here would be to hook a person up to an EEG during such a state (or even place them in an fMRI if at all possible) in order to determine if the “jittering” experienced is endogenously or exogenously generated.2dof_outofphaseV2.15

How could we do this? Let’s take a step back for a second and recall Selen Atasoy’s study about the influence of LSD on the connectome-specific harmonic waves of the brain. The connectome-specific harmonic waves (CSHWs) are the “natural resonant modes” of a given brain. With this analysis, one can characterize a given “brain state” as a weighted sum of such resonant modes. In turn, one can then see how LSD affects one’s brain state by analyzing the CSHWs while under its influence. As it turns out, there are three major effects from LSD: (a) an overall increase in the power of all CSHWs, (b) the higher-frequency harmonics gain even more power relative to the lower-frequency ones, and (c) the repertoire of possible states dramatically increases, meaning that CSHWs that usually don’t co-occur are more likely to be simultaneously active while on LSD.dynabs-a

The thing to point out is that LSD in this case does not change which harmonic modes the brain has; it merely changes the energy distribution over those harmonics. On the other hand, we could in principle imagine that if the “DMT entity contact” brain state is not purely a hallucination, we would instead find out that such a state has a distinct “non-native harmonic pattern”. And this would manifest in the form of injection pulling and injection locking signatures in the reconstructed patterns of brain activity from the neuroimaging data.N4jchWg

An analogy with a musical instrument is possible: assume that your brain is a musical instrument and that the notes it plays sound like those of a guitar. In this analogy, taking LSD would entail increasing the volume of each note (and especially so for the higher notes) while also increasing the range of possible note-combinations. In other words, while LSD changes what you can play with the guitar, it does not change the fact that you are playing a guitar. That is, the brain states produced by LSD can be explained as different configurations of otherwise native vibratory patterns. In contrast, if DMT entity contact involves an external energy source with its own characteristic resonant modes, then the brain state that results from it would seem to have non-native vibratory patterns. It would be like having a guitar that produces saxophone sounds. You would know that on its own it is not physically capable of producing such sounds, and hence infer it is being externally influenced somehow.

ballspring_2

Are the jiggling patterns of your brain harmonics while on DMT best explained with or without an external metronome and its injection pulling effects?

Such an analysis might reveal that the jerking of the nervous system one experiences on those idiosyncratic DMT experiences is best explained with an injection pulling model and an external metronome marking the pace. In turn, this would imply that the brain is not merely hallucinating a scene, but rather, it is being influenced by an outside metronome. Now, that would be a scientifically-sound ground-breaking finding. And perhaps be so spooky we would all prefer to forget about it rather than contemplate its implications.[2]



Now, there is always the option to interpret all of the unusual phenomenal experiences on DMT with a scientific secular framework that excludes entities from other dimensions. At the Qualia Research Institute, the frameworks that we use to explain such unusual experiences involve what we call algorithmic reductions, namely, identifying a small set of data-structures and information-processing steps that when taken together are capable of generating the vast zoo of complex emergent effects. The advantage of this approach is two-fold. First, we avoid over-fitting by minimizing the information complexity of the model (few data structures and few operations is a vastly more parsimonious explanatory framework than ad-hoc spiritual or atomistic interpretations). And second, it allows us to generate predictions such as the possible existence of exotic phenomenal states that haven’t yet been reported in the literature. Indeed, verifying that its predictions are accurate is one way of validating an algorithmic reduction.

In the case of DMT, we have algorithmic reduction models that explain the unusual properties of space as well as their associated exotic phenomenal time. And while providing compelling explanations for the exotic space and time one can experience in such a state is foundational, we recognize that this is still a first step. I admit that such models still do not go far enough. We still need to explain the nature and unusual character of “entity contact” experiences. So what do we make of them?

The Brain as a Game Engine

Our best guess- for the time being- involves reformulating the nature of the state-space of consciousness to include a layer of “game parameters”. This was first brought up in the essay “Harmonic Society“:

Consider what happens when someone takes LSD. Most people expect that they will simply get to experience new sensations like brighter colors, tracers, or synesthesia. This is true to a point, for light doses. But on medium doses, in addition to exploring the state-space of sensory configurations, one also experiences new aesthetics, which this model would define as ways of organizing a lot of sensations in ways that feel right. More so, an aesthetic is also a way of delivering uninhibited sensations in a way that feels good at the level of the whole experience, from moment to moment. Most people have no clue that there is a vast space of possibilities here.

 

On higher doses, people are surprised to find an even more general way of exploring the state-space of consciousness. Namely, one instantiates alternate games. The DMT “vibe” that people report can be thought of as more than a “context switch”. It is, rather, a more radical change that we could describe as a “game switch”. The “Jester” that people talk about regarding DMT experiences is an archetype that the mind uses to signal the “rule violation” quality of the state. There is so much going on that one’s experience splits into multiple games at once trying to find some common ground, and this feeling of game-incompatibility feels very alien. A sort of anti-virus system in the mind is triggered at that point, and labels the inconsistency with a feeling of weirdness so that you know not to update your actions based on the (currently globally inconsistent) experience of multiple superimposed games. Rule violation through fast changes in implicit games of social status causes you to interpret what is going on as having extreme stakes. Interacting with DMT Aliens, Gods, Elves, etc. feels like the upper limit of potential social status transfer that your world simulation affords (like meeting a president or a king). The state-space of consciousness contains all of these alternate games and metagames, and we have not even begun to catalogue them.

 

Harmonic Society (3/4): Art as State-Space Exploration and Energy Parameter Modulation

In other words, taking DMT does not merely propel you to other regions of the state-space of possible sensory impressions, but it also grants you access to alternate aesthetics[3] and game setups. If you think of your brain not only as a sensory-processing tool, but in fact as a kind of high-level game engine, realizing that God and the Devil can be real in your experience shows that they are possible characters of the games your brain can render. In such a case, we will eventually find that the brain states that render DMT entities are, however exotic, still produced by combining the native resonant modes of one’s own nervous system. No need to invoke neuronal injection pulling from the etheric plane.

Of note is that such a “Game Engine” paradigm would go a long way in explaining unusual experiences such as Free-Wheeling Hallucinations where one becomes able to control almost all features of one’s experience with an incredible level of detail. Indeed we can describe a Free-Wheeling Hallucination state as having access to an experience editor, as illustrated in the Memory Facility Scene of Blade Runner 2049:

Unsurprisingly, we can anticipate that when one is given root access to the parameters of one’s own inner world-simulation, one is likely to focus on creating experiences entirely filled with enjoyable super-stimuli. Whether this involves sex-worlds or proofs of the existence of a benevolent God might be a function of what is it that one craves the most. The intense concern with theodicy and the nature of death while on psychedelic drugs might have something to do with having the ability to change the most essential parameters of one’s internal world simulation. After all, if “living in a world” where God exists and is loving is more enjoyable than the alternative, one’s own hedonic maximization algorithms would try to “realize that’s the truth” if given the option to forge evidence. The same could be going on with DMT entities, for a world in which DMT is an interdimensional portal technology is vastly more interesting (or at least dramatic) than the alternative.

In the end, studying DMT experiences do not need to involve actual entity contact to be of profound significance to the science of consciousness. If you think of your brain as a qualia machine engine, DMT is about the best (or second-best [4]) qualia fuel there is. There are vast regions of the state-space of consciousness that can only be accessed with DMT, many of which contain extremely computationally interesting qualia, and many others which contain intrinsically valuable states (aka. heaven worlds). If, on top of that, it also enables interdimensional beings to injection pull your brain harmonics, we could think of that as icing on the cake.



[1] Serious and Unserious Consciousness Researchers

On a tangential note, here is a quote I recently heard at a consciousness conference:

Thomas Metzinger, the famous and brilliant German neuroscientist and philosopher of mind*, was once asked at a conference presentation he was giving whether he had ever tried psychedelics. His response? “There are two kinds of consciousness researchers. There are the serious ones, and the unserious ones. The serious ones take advantage of all the tools at their disposal to crack this mystery. All I will say is that I am NOT an unserious consciousness researcher.”

*He is best known for being the writer of the books “Being No One” and “The Ego Tunnel“, friends with the Foundational Research Institute, a strong proponent of a variant of eliminativism about consciousness, and a negative utilitarian specializing in AI ethics.



[2] Implications

If the injection pulling experiment does reveal that DMT entities are indeed mind-independent sentient beings in alternate dimensions, then what?

We shall cross that bridge when we get there, but in the meantime, let me entertain you with a wild hypothesis: DMT Elves are us at a higher level of spiritual and psychological development. In such a case, we might want to revise Integral Theory’s levels to include DMT Elves. Expect Ken Wilber’s next book to contain the following:

Larval Stages of the Soul Before Ascension

1) Mythical, 2) Machiavellian, 3) Religious Traditional, 4) Scientific Secular, 5) Postmodern Multiculturalist, 6) Burner, 7) DMT Elf, 8) Full-Spectrum Supersentient Superintelligence, 9) Hedonium Plasma Wave, and finally 10) Pure Love.



[3] An open question for all my DMT-using readers: are DMT visuals more akin to Art Deco, or Art Nouveau?

14947935_1114901531879801_3386970468615130288_n



[4] On a Serious Note

My prediction is that the single most important tool to investigate consciousness is 5-MeO-DMT. It is probably the most important consciousness tool ever discovered. While I’ve seen serious consciousness researchers and academics admit in private that they have tried psychedelics, I almost never encounter people who have tried 5-MeO. I expect this to change over the course of the next decade as the word gets out that no, 5-MeO is not “yet another psychedelic” but it’s the “real deal” when it comes to disclosing profoundly insightful states of consciousness with implications for personal identity, ethics, the state-space of qualia, the nature of valence (i.e. harmony vs. dissonance), phenomenal time, causality, and the importance of quantum coherence for phenomenal binding. If you have explored this compound and would like to share your insights, please get in touch. We always welcome high-quality trip reports.



 

 

Self-transforming machine thought-forms.
Valued for their intrinsic qualia;
sometimes used for qualia computing.


Featured image source: Machinist Sculpture Chris Bathgate

The Resonance and Vibration of [Phenomenal] Objects

Extract from “Many Voices, One Mission” by Michael G. Reccia, R. Jane Kneen

25th February, 2007

[Jane recalls: This clairvoyant address from Silver Star was given to Michael and myself one Sunday morning on our return home after he had accompanied us on a walk around the local reservoir.]

Silver Star: I want to talk about resonance and vibration, particularly in the spirit world. What I am going to talk about also applies to this level but cannot be picked up with earthly senses.

Everything in the spirit world has a sound, a colour, a tonality of Light and a degree of sentience. If I place a box in front of you on an earthly level it is simply a box …a utilitarian, functional, square structure built to hold something. If I gave you a box from the spirit worlds, that box has been created by thought. So, if I have a box in my house in the spirit world and turn my attention to it, that box will have a colour value. It is not just a box but is also a vibration of Light, and it is that vibration of Light that gives it its ‘solidity’. It will have a particular colour according to the purpose I assign to it. And, because the spiritual atoms in the box are vibrating at a certain rate, that box also has a sound value if I choose to tune in to it, which will be pleasing to the ear because the box has been created in one of the worlds of Light. That box is made from energy so as well as its colour – which will change dependent on what I want the box to do – it also has a luminance.

So, every object in the spirit realm has a colour (even a seemingly transparent box has a colour value) …it has a vibration of sound …and it has a perfume. The box stimulates all the senses we had on Earth so we can see, hear, touch and smell it.

Michael: Why would it have a perfume, Silver Star?

Silver Star: All the senses can be used as a spirit. Even though there is no dense atmosphere like on Earth, the sense of smell is stimulated by any object. There are exquisite perfumes here and each object has a unique scent dependent upon its complexity and intention of purpose. There is also a background aroma from the landscape and a subtle fragrance with people as well.

All your senses work at once, spiritually speaking, which is why, when Michael tries to describe spirit communication, he says it is like a beam of energy that carries within it a huge amount of information. Each object here conveys a lot of information …it has Light …it has a colour value …it has a sound value …and it has a perfume.

You can tune out these things, dependent on which of them you want to sense, or you can experience all of them at once. You can (as in your drug ‘culture’ on Earth) smell colours. You can experience emotion through colours and so feel warm or cold or happy or sad through colours. You can hear the symphony of Creation that runs through everything, and yet it can be individualised so that you only hear it coming out of the ‘box’ or just from the atmosphere around you …or you can hear it coming from the whole of the sphere you are in at the time.

Discord also exists in the Lower Astral because people there are still God-like in potential and what they imagine takes form. They think up discordant images and those images have vibrations that clash …that have a disagreeable odour …that exhibit violent colours …that carry sounds that are an assault on the senses. The spirits in the Lower Astral can feel and sense their havoc that, whilst on Earth, they thought they were creating in secret.

As an example of what I am trying to put across, let us take the simple act of one person visiting a friend with the express intent of spreading discord by voicing disharmonious views about a mutual acquaintance. On an earthly level all the person can be seen to have done is travel from point A to point B, indulge in malicious gossip, and then return home with no apparent retribution or consequence for having done that.

On a spiritual level, however, as soon as that person decides to undertake that malevolent course of action, they create jagged thoughts around themselves and attract towards themselves similar spirits from the Lower Astral. So, accompanying them unseen on that journey are spirits who think that this is a fun thing to do, because their vibrations are similar to the intentions of the soul on Earth wishing to cause trouble.

In contrast, the person who is sitting in meditation creates thoughts of Light and balance, and creates spheres (like the ones photographed over your door [reference to the coloured orbs that I had unexpectedly captured on my camera]), which have lovely, balanced colours and beautiful harmonies and sounds. Whereas the person who is acting negatively towards someone else creates a ‘thunderstorm’ around themselves with roiling clouds of darkness and disharmony within that bubble. Those disharmonies are then recorded in the karmic pattern of the person’s life, inhibiting their vibration so that, when they pass to spirit, they have to rid themselves of that thought and intention (even though they might not have thought about it for years) before they can raise their vibrations enough to fully appreciate the worlds of Light.

So, just as there are harmonious colours in Creation, there are also disharmonious colours; and just as there are harmonious sounds there are sounds – like clashing cymbals – of discord and disharmony.

Many illnesses on Earth are caused by the body having to react on a subconscious level to the constant battering of disharmony that the spirit has created around itself, year in, year out. The cells within a person’s body also vibrate, have a sound- and Light-quality and are designed to be harmonious but can be overcome by the bombardment of dominant negative thoughts from the person. That dulls or extinguishes the Light within the cells, resulting in the cells becoming unhealthy because they are not receiving the harmony from God that should reach them …so thick are the thoughts around the person and their subconscious.

In spiritual work you will often detect a smell …such as cigarettes, earth or perfume. The part of the wavelength that affects smell is easier to manipulate from one of the spirit worlds than sight or hearing, so very often a discarnate soul will convey a smell to the person on the Earth plane they wish to contact because it is the easiest way (relatively speaking) to do so from the spirit worlds.

So, if we come back to my box – a simple object like that is really a riot of colour, sound and intention but so is everything on Earth …as above, so below. The chair you are sitting on has its own harmony, its own energy-signature and a colour that is quite apart from the colour vibration you can see on the Earth plane. That vibration or low level of sound is harmonising with the other sounds in your room – such as the sounds that the chairs and the television are giving out; and electricity gives out a very specific sound-signature spiritually. There are colours that are emanating in your room on a spiritual level and perfume vibrations given out by various objects. Flowers, for example, give off perfume on a low level on the Earth but their perfume as a glorification of God on a spiritual level is wonderful to experience.

All this is going on in everyone’s house and this is why a medium can enter someone’s room and instantly feel threatened because of the chaos picked up there, or in somebody else’s room – like this one – feel at peace because peace is in the atmosphere. On a subconscious level you, as souls, pick up the Light-signature, the colour-signature, the sound and the perfume from the objects within a room… and, indeed, from people themselves.

It is not a cacophony in our world because everything is harmonious and we can tune in or tune out those particular vibrations, just as you would on a television. If we do not wish to hear the background noise of the universe we tune it out – knowing that it is always there if we wish to tune back in to it. If we don’t wish to see beyond the physical objects that we have (like the box) and don’t want to see its colour or Light, we tune out of that particular wavelength so we are just looking at the object.

The reason I am telling you this is to make you aware of the fact that the universe is vibrant and alive. There is no such thing as a ‘dead object’ because the last quality my box exhibits is a degree of sentience. It is built out of God-ether …the substance of the universe… and, therefore, is alive. I can influence the box with my moods and so it is on Earth. You influence your immediate surroundings with your moods and, because those surroundings are, in effect, alive, they react to the way that you are feeling.

Objects on Earth should be blessed periodically and dedicated back to God so that their vibration is raised and they will then serve you rather than drag you down by exhibiting depressive tendencies that they have picked up from yourselves! This is why you should bless your houses. Anything new that is brought into your house should be blessed because you don’t know the history of that object. You don’t know who has touched it before and what their thoughts or intentions have been. Everything should be blessed and dedicated to God …so should the food you eat …and the thoughts you think. You should say: ‘Father, this morning I pray that my thoughts be of the highest quality and worthy of You‘ and then you are not thinking things that will damage you.

I would like to leave you the box to think about. It is just a box that I have created from nothing by thinking, ‘I want a box!’ …What colour is it? …What is its intention? …What are you going to use it for? …How much Light does it exhibit?

It is up to you!

It depends what you put into that box.

That box is symbolic of every thought you think, everything that is in your house and everything you use – from your car to your telephone – and, just as I can influence that box, you can influence the things around you. That is why the Persian Gentleman said some weeks ago [reference to a private communication] that you should bless and thank the objects in your house because they react at a God-level to your approach to them. If you love them they become filled with Love; if you hate them they become filled with hate.

So, I have tried to bring through something of the abstractions of our world and pin them down through physical speech. Our world is a world of Light, of colour, of perfume, of sound …and so is yours.

Bless your days …bless each other …bless the objects, then you are putting Light into them as co-creators of those objects, which is what you will eventually be. You might not have physically made a chair today but one day with the power of your mind you will. You might not have physically built a house but you are building the house you will go to in the spirit realms by your thoughts whilst on Earth. So, be aware that you are creating, even though this is a pool of vibration where other people create physical objects for you. What you put into those objects you create yourself and get heaven or hell from them dependent on your motives and thoughts.

Would Jane would like to ask a question about anything I have just said?

Jane: Do objects emit music as well?

Silver Star: To create heat you stir up molecules – that is heat. Heat is molecules hitting each other because they have become agitated. To create any object, you formulate the molecules so that they become that object temporarily. Once formulated, however, they are not in stasis but in motion. If something is in stasis it decays; therefore, there must be movement. So, dashing about within the box that I have created are molecules that give the illusion of the box being ‘solid’. They are reacting to each other and – as when you rub your finger around the rim of a wine glass – it creates a sound. You cannot hear it on this level but you can on ours. Every object has a tone because of the way in which the molecules within it are moving. Does that make sense?

Jane: Yes, thank you.

Silver Star: Was there anything else?

Jane: No.

Silver Star: Then I will leave you, although I never leave you on a Sunday and, in particular, I never leave Jane [reference to Silver Star’s role as my principal guide]. I leave Michael to my colleague, the Persian Gentleman [reference to P.G. being Michael’s guide], and God bless you for the work you have done this week on behalf of us all – and for the work you will continue to do.


Analysis

Is there any value in considering the experiences described in the text above? With a physicalist ontology paired with inferential realism about perception, we are compelled to conclude that when people report traveling to heaven worlds and seeing objects that make signature multi-sensory music, they are really reporting on the quality of hallucinations. Alas, this is not enough to dismiss these reports as useless. Why? Because they may have some key information about how phenomenology works, and specifically, about valence structuralism. Let me explain.

The experience of going to a phenomenal world where the objects resonate and produce notes in all sensory channels has been reported by a number of people from various traditions (e.g. how Buddhas are said to emit blissful vibrations in the pure abodes, flowers making music in heaven as described by a gnostic “medium” (The process of dying), the sound-sight complementary nature of Mandalas and Mantras*, etc.). As I’ve said elsewhere, “desiring that the universe be turned into Hedonium is the straightforward implication of realizing that everything wants to become music”. So when people say things like this, listen. They may be reporting back on glimpses they’ve had of radically enhanced modes of being, whether or not they are really gaining privileged access to an external transcendent world of consciousness.

Gaining Root Access to Your World Simulation

Let’s examine the phenomenology described under the theoretical paradigms developed at the Qualia Research Institute. Some core paradigms are Qualia Formalism (“every conscious experience corresponds to a mathematical object such that the mathematical features of that object are isomorphic to the phenomenology of the experience”), Valence Structuralism (“pain and pleasure are structural features of the mathematical object that corresponds to an experience such that they can be read off from this object with the appropriate mathematical analysis”), and the Symmetry Theory of Valence (“the mathematical feature that corresponds to pain and pleasure are the object’s symmetry and anti-symmetry, namely, its invariance upon the transformations the object is undergoing”). Whereas Qualia Formalism is a necessary assumption to make in order to make any progress on the science of consciousness (cf. Qualia Formalism in the Water Supply), Valence Structuralism and the Symmetry Theory of Valence are currently still mere hypotheses whose truth will be determined empirically by testing the predictions they generate. For now, we rely on strong, but admittedly circumstantial, pieces of evidence. The phenomenology reported of the connection between harmony and bliss in heaven worlds is one of these pieces of evidence. But can we do better? Not everyone can access these so-called heaven worlds of experience. So what can we do instead? Thankfully, there is a way…

Indeed, as carefully catalogued by Steven Lehar in his book about altered states “The Grand Illusion“, combining dissociatives and psychedelics produces an altogether new kind of experience different than the experience of either alone. His discovery first came by combining DXM and THC, which he says has a decent chance of giving rise to a free-wheeling hallucination, meaning that one can control the contents of hallucinatory experiences. For example, rather than being at the mercy of one’s hallucinatory world, under such a state, you could choose to fly on an airplane, travel the cosmos, or even go to Burning Man, and your mind will render a world-simulation in which you are doing such things.

Lehar, famously, is a proponent of indirect realism about perception. Hence he does not confuse those experiences with a transcendent access to an etheric plane or literal other dimensions. Rather, he points out, what underlies the phenomenal character of one’s experience is made by patterns of harmonic resonance interfering with each other within the confines of one’s own brain. The illusion of “seeing things outside of oneself” is due to the fact that the experience we have seems to be of a 3D space. But in reality, what is happening is that you are a 2.5D diorama-like projective space that represents a homunculus looking at a 3D space:

This slideshow requires JavaScript.

In the book, Lehar discusses how one can study some of the key parameters of one’s world-simulation in such a state. By imagining/requesting/generating lenses, diffraction gratings, and mirrors in your world-simulation during a free-wheeling hallucination you can explore the ray-tracing algorithms used by your brain to render your experience in normal circumstances. Just as the best way to figure out how a videogame engine works is to break it with corner cases, to find how your brain builds your world-simulation, overloading the simulation with difficult-to-render elements is highly useful.

What algorithms does your mind use for ray-tracing? According to an anonymous reader (whom we shall call “R”), the DXM + THC state allows you to explore precisely this question. From the conversations with R, it seems that ray-tracing follows a repeating two-step top-down and bottom-up recursive process in order to draw your experience. Amodal percepts are first constructed and set in place in order to build a projective frame (e.g. isometric projection, fish eye lens projection, etc.), which is followed by the “lighting” of that amodal space with modal qualia (color, scent, touch, etc.) in order to increase the definition of the rendered scene. Then an algorithm kicks in that figures out which is the most under-constrained region of the world-simulation, and rendering begins there, again with an amodal frame followed by modal filling-in, and so on, and the process repeats until you reach reflective-equilibrium.

The amodal step allows you to explore the range of possible projective transformations of your world-simulation. It is at this step that you can explore the rendering of cinematographic camera effects, such as lens flares and the Hitchcock Zoom. Unlike pure psychedelic states (e.g. LSD, psilocybin, etc.) on dissociatives, projective transformations seem to have a certain gravity to them. It’s as if the entire scene was built as a model on a platform suspended with ropes and springs. To turn the space around (i.e. change the projection) you can “add weight” to some of its parts, and then let the ropes readjust the orientation of the model to balance it out again. This is why dissociative projective hallucinations have a characteristic initial acceleration ramp-up, similar to what it is like to give a push to a ceramic turn table with a heavy vase. It moves very slowly at first, but once it gets going it keeps spinning until you stop it, which also has a characteristic deceleration dynamic. On the free-wheeling hallucination state one is like that; the world-simulation model can be pushed around to change the projection, and when you do so it travels at constant speed until it decelerates before its reposition. During the modal step, effects can be added such as wind, dust, rain, hail, liquid, gelatin, etc. These are all applied one at a time in a relatively legible way, with physicalized rendering of e.g. the filling up of a tank, parts of wood combusting with a low-grade fire propagating at constant speed, an ocean filled with water increasing its viscosity until it becomes lava, etc. A very valuable follow-up research that could be done at e.g. a Super-Shulgin Academy of rational psychonauts would be to get people to study SIGGRAPH algorithms and then try to replicate them during free-wheeling hallucinations. Perhaps not so surprisingly, graphics researchers are notorious for using psychedelics**.

Some people may want to say that there is nothing special about these states… we already have lucid dreaming after all, right? Alas, that is a very misguided analogy. Yes, lucid dreams can be used to explore unusual phenomenal configurations, but the scenes experienced are very hard to stabilize and examine in detail over the course of minutes (rather than seconds). The features of free-wheeling hallucinations along with their generic emotional intensity make them not comparable to most moments of life, or even lucid dreams. The texture of dissociative+psychedelic states is drastically different from lucid dreaming, and so is the degree of controllability of their content in precise and measured ways (not to say that dream music cannot be very emotional, but we are talking of something that is on another level altogether). That said, the state has clear limitations, too. Lehar points out, for instance, that looking at the control panel of an airplane during a free-wheeling hallucination reveals that you cannot have as many buttons as you would have in real life. Likewise, the projective transformations are restricted in some ways. A specific example would be trying to simulate going to Las Vegas. There you will find that jumping off a building is not possible because that would require a projective transformation where the distance covered grows quadratically as a function of time. Instead, jumping off a building will be approximated by what it feels like to go down an elevator at constant speed. In contrast, getting into the High Roller wheel is an excellent choice because your world-simulation can render the circular constant-speed projective trajectory of the camera movement in a very accurate and precise fashion.

This slideshow requires JavaScript.

Happiness and Harmony: A Marriage Made in Heaven

With regards to the connection between symmetry and pleasure, the free-wheeling hallucination state is a prime place to conduct high-quality phenomenological research. In particular, R tells us that you can study how different objects generate (are resonant with) particular moods, sounds, and tactile feelings. Thus, DXM + THC can be a tool of grand scientific significance for the study of emotional valence.

[If what follows is hard to make sense of, please bear with us, it will get easier:] R points out that one can climb the symmetry gradient within a scene by normalizing the space vertically, horizontally, depth-wise, temporally, weight-wise, and so on. During each amodal step you can try to re-align the projective lines so that the points at infinity are either precisely at the center of your vision, or at least have symmetrical counter-parts (e.g. left-right, top-down, etc.). This way you can take the energy of the phenomenal objects and generate what we call a “projective energy entrapment”. This is a strange thing to report on that goes outside of people’s conceptual schemes, but it is definitely real, and very important. With a symmetrified amodal projective frame, the phenomenal object can “lock in place”, and a process of annealing takes place. The pre-existing invariant degrees of freedom present in the amodal projections before the symmetrification are still there, but on top of them, one gets additional invariant degrees of freedom. R compares this to taking a space with affine geometry and projecting it into a space with Euclidean geometry, such that the space now has two layers of invariance that add up and, together, prevent energy in the phenomenal objects from escaping to their surroundings. In light of QRI’s meditation paradigms, this would be akin to removing energy sinks from the system. In turn, the projective energy entrapment allows the build-up of extraordinarily intense resonance amplitudes, and this, according to R, feels really good.

Thus, at least according to these observations, the emotional valence of our world-simulation is both related to the number of active invariant degrees of freedom along which transformations are taking place and the amount of energy entrapped in such spaces. Here is a good example. The gif on the left is what the space may look like at first, with the pseudo-time arrow creating a video feedback effect that gives rise to chaotic behavior. If you meditate on normalizing the projective points, you can turn that space into something akin to the image on the right. Now rather than having the modal energy leak to the surroundings, it all gets trapped inside the cube, giving rise to a powerful feeling of emotionally-loaded resonance, which empirically feels really good.

To reiterate, the image to the left is what it feels like when the space is asymmetrical. The affine symmetries may be preserved, but Euclidean energy entrapment is not possible there. The one on the right has both affine invariants and Euclidean invariants, which allow for more energy entrapment (and also temporal stability). If you can stabilize an infinite hall of mirrors projected from a highly symmetrical point of view, you will be able to entrap a lot of energy, which feels like a resonating space and empirically this seems to be very pleasant. We would love to hear from more rational psychonauts whether they are able to replicate this experience, and whether the correlation with valence is also uncovered in their world-simulations.

In the more general case, one can do this with other amodal projections, and generate peaceful but wide awake energy-filler mandalas of experience:

Indeed, during dissociative free-wheeling hallucinatory states one can “tune in to the phenomenal objects” one constructs and translate their vibration into sounds, tactile sensations, emotions, and even scents. Again, empirically, one will notice that the projective symmetry of an object will be associated with the symmetry of the multi-modal translation, and in turn, with the valence of the object. Ugly phenomenal objects will have discordant sound signatures, whereas smooth, easily compressible and symmetrical phenomenal objects will have harmonic sound signatures. You can indeed try to listen in to your entire experience, which in the general case will give rise to rather experimental-sounding music. If you have annealed your hallucinations into a highly symmetrical state (e.g. hall of mirrors above) the sound translation will be *very* pleasant, akin to Buddhist chants in a reverb chamber or mystical violins in a resonant cave (again, this is an empirical finding as reported from R, rather than just arm-chair speculation, but it does support QRI’s hypothesized Symmetry Theory of Valence). Two very symmetrical objects with different but nearby frequencies will clash at first, but one can try to resolve this clash by paying close attention to both at once. If so, sooner or later one of the objects will dominate the other, they will undergo affine transformations until they merge, or there will be some kind of compromise where you stop paying attention to some of the features of one or both of the objects such that the remaining ones are in harmony. Here are some more examples of what a more complex DXM + THC state may render that could produce extremely beautiful sounds:

Thus, even within our modern scientific paradigms (updated with QRI’s frameworks) we can explain and indeed utilize the phenomenological reports of heaven worlds. We believe that understanding the underlying mathematical basis of valence will be ground-breaking, and analyzing these reports is a really important step in this direction. It will allow us to make sense of the syntax of bliss, and thus aid us in the task of paradise engineering.

But What if Our Scientific World Picture is Wrong?

Indeed, maybe the picture of the world painted above is fundamentally mistaken. Within it, we would gather that heaven and spirituality are in a sense illusions caused by high valence states. The experience is so beautiful, sublime, and delightful that people try to make sense of it invoking God, the divine, and transcendent love. Alas, if the universe has an in-built utility function based on valence we could expect people to become confused that way when experiencing some of the really good states. But could we be mistaken here? This points to an important question: whether bliss is a spiritual phenomenon or whether spirituality is a bliss phenomenon.

Leibniz might retort by saying that although each person is a separate monad, God keeps their experiences synchronized so that our actions in Maya do have effects on other sentient beings, rather than being just a movie of one’s own making. Thus, a world-simulation model may be correct, but what makes an experience blissful or not is not its physical state, but rather its degree of spiritual wisdom. Or consider, for instance, the Tibetan Book of the Dead, along with its psychedelic interpretation (by Leary, Metzner, and Alpert), which suggests that both good and bad feelings are projections of the unconditioned mind.

Alas, even if a spiritual account turns out to be true, in the sense that interpreting these experiences through their lens is more accurate, and inferential realism about perception is misguided, we would still be able to gather from these reports that the structure of thought-forms encodes emotions – perhaps even in a spiritual multiverse with souls, God-energies, Realms, etc. we would still be able to derive a master equation for valence. Rather than valence structuralism referring to the fire in the equations of physics, it might refer to God-energy, emptiness, etheric fields, or whatnot. But why would that matter? We could still formalize and mathematize the nature of bliss under those conditions. This is what we call Spiritual Structuralism: even in the spirit world math still encodes the experiential quality of phenomena. Saying “we either live in a mathematically-describable physical world or in a mysteriously inscrutable spiritual world” may turn out to be a false dichotomy. We could still look forward to having spiritual analogues of Galileo, Newton, and Einstein, albeit their equations would apply to how the God-force self-interferes to generate the multifaceted spiritual world of sentient beings.

Alas, I suspect that many spiritual people would recoil at the prospect of mathematizing Mystical Love. So let us ask ourselves: Would this be good? Tongue-in-cheek, I remember asking God at Burning Man 2017 whether deriving the equation for valence would be good from a spiritual point of view. God’s response? A resounding “Yes!” Importantly, God emphasized that individual bliss is limited, whereas collective bliss is boundless.  But maybe this, too, could someday be formalized. Here I reproduce the relevant part of our conversation:

Me: I’ve been working on a theory concerning the nature of happiness. It’s an equation that takes brain states as measured with advanced brain imaging technology and delivers as an output a description of the overall valence (i.e. the pleasure-pain axis) of the mind associated to that brain. A lot of people seem very excited with this research, but there is also a minority of people for whom this is very unsettling. Namely, they tell me that reducing happiness to a mathematical equation would seem to destroy their sense of meaning. Do you have any thoughts on that?
God: I think that what you are doing is absolutely fantastic. I’ve been following your work and you are on the right track. That said, I would caution you not to get too caught up on individual bliss. I programmed the pleasure and pain centers in the animal brain in order to facilitate survival. I know that dying and suffering are extremely unpleasant, and until now that has been necessary to keep the whole system working. But humanity will soon enter a new stage of their evolution. Just remember that the highest levels of bliss are not hedonistic or selfish. They arise by creating a collective reality with other minds that fosters a deep existential understanding, that enables love, enhances harmony, and permits experimenting with radical self expression.
Me: Ah, that’s fascinating! Very reassuring. The equation I’m working on indeed has harmony at its core. I was worried that I would be accidentally doing something really wrong, you know? Reducing love to math.
God: Don’t worry, there is indeed a mathematical law beneath our feelings of love. It’s all encoded in the software of your reality, which we co-created over the last couple billion years. It’s great that you are trying to uncover such math, for it will unlock the next step in your evolution. Do continue making experiments and exploring various metaphysics, and don’t get caught up thinking you’ve found the answer. Trust me, the end is going to make all of the pain and suffering completely worth it. Have faith in love.
Me: Thank you!

– Conversation with God, Burning Man 2017

John C. Lilly’s Simulations of God posits that as people evolve and mature, their concept of the highest good also evolves and matures. Thus, learning about the math behind pleasure might very well transform your conception of divinity. I would therefore offer a new perspective on what is God that unifies bliss and spirituality: God is a happiness engineer who knows all the theories, tricks, and techniques to optimize qualia for bliss. Indeed, Romeo (from QRI) has reported experiencing multi-sensory harmonious mandalas when closing his eyes after coming back from long meditation retreats. One could very well posit that this world is the training ground of souls to learn how to avoid creating evil thought-forms while practicing how to increase the harmony between all sentient beings.

Additionally, Wireheading Done Right could have a spiritual analogue – namely, moving between realms in such a way that you go from good one to good one, reaping their functional benefits, while avoiding getting stuck in any one of them. Just because a spiritual universe underlies our reality would not mean that suffering forever is either good or necessary. And if there is math associated with love and liberation, we are all better for it, for then we are not shooting in the dark. Carefully selected dynamic systems equations that give rise to beautiful (i.e. high valence from many different points of view) patterns could very well be what is behind the bliss of heaven worlds, and you should neglect this discovery at your own peril.

Alas, this is unlikely. Even so, promoting a given ontology is less important, intrinsically, than promoting subjective wellbeing. For if someone’s delusions are comforting and do not interfere with their ability to help others, there is no reason to remove them. Do not go and try to convince your dying granny of the non-existence of God, for that is pointless cruelty. And certainly don’t go around talking about tenseless suffering in the Everettian multiverse outside of circles to whom this can either help them intrinsically or extrinsically (I assume being candid with QC readers is a net positive, though I often doubt that a bit myself).

Either way, from what I gather, practicing creating beautiful harmonic thought-forms is probably good for your health and happiness. It is likely to make you not only feel good, but also be sweet-natured. So by all means practice doing it as often as you can.

Infinite Bliss!


*”Mantras, the Sanskrit syllables inscribed on yantras, are essentially ‘thought forms’ representing divinities or cosmic powers, which exert their influence by means of sound-vibrations.” [source]

**”In 1991, Denise Caruso, writing a computer column for The San Francisco Examiner went to SIGGRAPH, the largest gathering of computer graphic professionals in the world. She conducted a survey; by the time she got back to San Francisco, she had talked to 180 professionals in the computer graphic field who had admitted taking psychedelics, and that psychedelics are important to their work; according to mathematician Ralph Abraham.” [source]

A Non-Circular Solution to the Measurement Problem: If the Superposition Principle is the Bedrock of Quantum Mechanics Why Do We Experience Definite Outcomes?

Source: Quora question – “Scientifically speaking, how serious is the measurement problem concerning the validity of the various interpretations in quantum mechanics?


David Pearce responds [emphasis mine]:

It’s serious. Science should be empirically adequate. Quantum mechanics is the bedrock of science. The superposition principle is the bedrock of quantum mechanics. So why don’t we ever experience superpositions? Why do experiments have definite outcomes? “Schrödinger’s cat” isn’t just a thought-experiment. The experiment can be done today. If quantum mechanics is complete, then microscopic superpositions should rapidly be amplified via quantum entanglement into the macroscopic realm of everyday life.

Copenhagenists are explicit. The lesson of quantum mechanics is that we must abandon realism about the micro-world. But Schrödinger’s cat can’t be quarantined. The regress spirals without end. If quantum mechanics is complete, the lesson of Schrödinger’s cat is that if one abandons realism about a micro-world, then one must abandon realism about a macro-world too. The existence of an objective physical realm independent of one’s mind is certainly a useful calculational tool. Yet if all that matters is empirical adequacy, then why invoke such superfluous metaphysical baggage? The upshot of Copenhagen isn’t science, but solipsism.

There are realist alternatives to quantum solipsism. Some physicists propose that we modify the unitary dynamics to prevent macroscopic superpositions. Roger Penrose, for instance, believes that a non-linear correction to the unitary evolution should be introduced to prevent superpositions of macroscopically distinguishable gravitational fields. Experiments to (dis)confirm the Penrose-Hameroff Orch-OR conjecture should be feasible later this century. But if dynamical collapse theories are wrong, and if quantum mechanics is complete (as most physicists believe), then “cat states” should be ubiquitous. This doesn’t seem to be what we experience.

Everettians are realists, in a sense. Unitary-only QM says that there are quasi-classical branches of the universal wavefunction where you open an infernal chamber and see a live cat, other decohered branches where you see a dead cat; branches where you perceive the detection of a spin-up electron that has passed through a Stern–Gerlach device, other branches where you perceive the detector recording a spin-down electron; and so forth. I’ve long been haunted by a horrible suspicion that unitary-only QM is right, though Everettian QM boggles the mind (cfUniverseSplitter). Yet the heart of the measurement problem from the perspective of empirical science is that one doesn’t ever see superpositions of live-and-dead cats, or detect superpositions of spin-up-and-spin-down electrons, but only definite outcomes. So the conjecture that there are other, madly proliferating decohered branches of the universal wavefunction where different versions of you record different definite outcomes doesn’t solve the mystery of why anything anywhere ever seems definite to anyone at all. Therefore, the problem of definite outcomes in QM isn’t “just” a philosophical or interpretational issue, but an empirical challenge for even the most hard-nosed scientific positivist. “Science” that isn’t empirically adequate isn’t science: it’s metaphysics. Some deeply-buried background assumption(s) or presupposition(s) that working physicists are making must be mistaken. But which? To quote the 2016 International Workshop on Quantum Observers organized by the IJQF,

“…the measurement problem in quantum mechanics is essentially the determinate-experience problem. The problem is to explain how the linear quantum dynamics can be compatible with the existence of our definite experience. This means that in order to finally solve the measurement problem it is necessary to analyze the observer who is physically in a superposition of brain states with definite measurement records. Indeed, such quantum observers exist in all main realistic solutions to the measurement problem, including Bohm’s theory, Everett’s theory, and even the dynamical collapse theories. Then, what does it feel like to be a quantum observer?

Indeed. Here I’ll just state rather than argue my tentative analysis.
Monistic physicalism is true. Quantum mechanics is formally complete. There is no consciousness-induced collapse the wave function, no “hidden variables”, nor any other modification or supplementation of the unitary Schrödinger dynamics. The wavefunction evolves deterministically according to the Schrödinger equation as a linear superposition of different states. Yet what seems empirically self-evident, namely that measurements always find a physical system in a definite state, is false(!) The received wisdom, repeated in countless textbooks, that measurements always find a physical system in a definite state reflects an erroneous theory of perception, namely perceptual direct realism. As philosophers (e.g. the “two worlds” reading of Kant) and even poets (“The brain is wider than the sky…”) have long realised, the conceptual framework of perceptual direct realism is untenable. Only inferential realism about mind-independent reality is scientifically viable. Rather than assuming that superpositions are never experienced, suspend disbelief and consider the opposite possibility. Only superpositions are ever experienced. “Observations” are superpositions, exactly as unmodified and unsupplemented quantum mechanics says they should be: the wavefunction is a complete representation of the physical state of a system, including biological minds and the pseudo-classical world-simulations they run. Not merely “It is the theory that decides what can be observed” (Einstein); quantum theory decides the very nature of “observation” itself. If so, then the superposition principle underpins one’s subjective experience of definite, well-defined classical outcomes (“observations”), whether, say, a phenomenally-bound live cat, or the detection of a spin-up electron that has passed through a Stern–Gerlach device, or any other subjectively determinate outcome. If one isn’t dreaming, tripping or psychotic, then within one’s phenomenal world-simulation, the apparent collapse of a quantum state (into one of the eigenstates of the Hermitian operator associated with the relevant observable in accordance with a probability calculated as the squared absolute value of a complex probability amplitude) consists of fleeting uncollapsed neuronal superpositions within one’s CNS. To solve the measurement problem, the neuronal vehicle of observation and its subjective content must be distinguished. The universality of the superposition principle – not its unexplained breakdown upon “observation” – underpins one’s classical-seeming world-simulation. What naïvely seems to be the external world, i.e. one’s egocentric world-simulation, is what linear superpositions of different states feel like “from the inside”: the intrinsic nature of the physical. The otherwise insoluble binding problem in neuroscience and the problem of definite outcomes in QM share a solution.

Absurd?
Yes, for sure: this minimum requirement for a successful resolution of the mystery is satisfied (“If at first the idea is not absurd, then there is no hope for it”– Einstein, again). The raw power of environmentally-induced decoherence in a warm environment like the CNS makes the conjecture intuitively flaky. Assuming unitary-only QM, the effective theoretical lifetime of neuronal “cat states” in the CNS is less than femtoseconds. Neuronal superpositions of distributed feature-processors are intuitively just “noise”, not phenomenally-bound perceptual objects. At best, the idea that sub-femtosecond neuronal superpositions could underpin our experience of law-like classicality is implausible. Yet we’re not looking for plausible theories but testable theories. Every second of selection pressure in Zurek’s sense (cf. “Quantum Darwinism”) sculpting one’s neocortical world-simulation is more intense and unremitting than four billion years of evolution as conceived by Darwin. My best guess is that interferometry will disclose a perfect structural match. If the non-classical interference signature doesn’t yield a perfect structural match, then dualism is true.

Is the quantum-theoretic version of the intrinsic nature argument for non-materialist physicalism – more snappily, “Schrödinger’s neurons” – a potential solution to the measurement problem? Or a variant of the “word salad” interpretation of quantum mechanics?
Sadly, I can guess.
But if there were one experiment that I could do, one loophole I’d like to see closed via interferometry, then this would be it.


 

The Pseudo-Time Arrow: Explaining Phenomenal Time With Implicit Causal Structures In Networks Of Local Binding

At this point in the trip I became something that I can not put into words… I became atemporal. I existed without time… I existed through an infinite amount of time. This concept is impossible to comprehend without having actually perceived it. Even now in retrospect it is hard to comprehend it. But I do know that I lived an eternity that night… 

 

– G.T. Currie. “Impossible to Understand Reality: An Experience with LSD

Time distortion is an effect that makes the passage of time feel difficult to keep track of and wildly distorted.

 

PsychonautWiki

Introduction

What is time? When people ask this question it is often hard to tell what they are talking about. Indeed, without making explicit one’s background philosophical assumptions this question will usually suffer from a lot of ambiguity. Is one talking about the experience of time? Or is one talking about the physical nature of time? What sort of answer would satisfy the listener? Oftentimes this implicit ambiguity is a source of tremendous confusion. Time distortion experiences deepen the mystery; the existence of exotic ways of experiencing time challenges the view that we perceive the passage of physical time directly. How to disentangle this conundrum?

Modern physics has made enormous strides in pinning down what physical time is. As we will see, one can reduce time to causality networks, and causality to patterns of conditional statistical independence. Yet in the realm of experience the issue of time remains much more elusive.

In this article we provide a simple explanatory framework that accounts for both the experience of time and its relation to physical time. We then sketch out how this framework can be used to account for exotic experiences of time. We end with some thoughts pertaining the connection between the experience of time and valence (the pleasure-pain axis), which may explain why exotic experiences of the passage of time are frequently intensely emotional in nature.

To get there, let us first lay out some key definitions and background philosophical assumptions:

Key Terminology: Physical vs. Phenomenal Time

Physical Time: This is the physical property that corresponds to what a clock measures. In philosophy of time we can distinguish between eternalism and presentism. Eternalism postulate that time is a geometric feature of the universe, best exemplified with “block universe” metaphor (i.e. where time is another dimension alongside our three spatial dimensions). Presentism, instead, postulates that only the present moment is real; the past and the future are abstractions derived from the way we experience patterns in sequences of events. The present is gone, and the future has yet to come.

Now, it used to be thought that there was a universal metronome that dictated “what time it is” in the universe. With this view one could reasonably support presentism as a viable account of time. However, ever since Einstein’s theory of relativity was empirically demonstrated we now know that there is no absolute frame of reference. Based on the fundamental unity of space and time as presented by general relativity, and the absence of an absolute frame of reference, we find novel interesting arguments in favor of eternalism and against presentism (e.g. the Rietdijk–Putnam argument). On the other hand, presentists have rightly argued that the ephemeral nature of the present is self-revealing to any subject of experience. Indeed, how can we explain the feeling of the passage of time if reality is in fact a large geometric “static” structure? While this article does not need to take sides between eternalism and presentism, we will point out that the way we explain the experience of time will in turn diminish the power of presentist arguments based on the temporal character of our experience.

Phenomenal Time: This is the way in which the passing of time feels like. Even drug naïve individuals can relate to the fact that the passage of time feels different depending on one’s state of mind. The felt sense of time depends on one’s level of arousal (deeply asleep, dreaming, tired, relaxed, alert, wide awake, etc.) and hedonic tone (depressed, anxious, joyful, relaxed, etc.). Indeed, time hangs heavy when one is in pain, and seems to run through one’s fingers when one is having a great time. More generally, when taking into account altered states of consciousness (e.g. meditation, yoga, psychedelics) we see that there is a wider range of experiential phenomena than is usually assumed. Indeed, one can see that there are strange generalizations to phenomenal time. Examples of exotic phenomenal temporalities include: tachypsychia (aka. time dilation), time reversal, short-term memory tracers, looping, “moments of eternity“, temporal branching, temporal synchronicities, timelessness, and so on. We suggest that any full account of consciousness ought to be able to explain all of these variants of phenomenal time (among other key features of consciousness).

Key Background Assumptions

We shall work under three key assumptions. First, we have indirect realism about perception. Second, we have mereological nihilism in the context of consciousness, meaning that one’s stream of consciousness is composed of discrete “moments of experience”. And third, Qualia Formalism, a view that states that each moment of experience has a mathematical structure whose features are isomorphic to the features of the experience. Let us unpack these assumptions:

1. Indirect Realism About Perception

This view also goes by the name of representationalism or simulationism (not to be confused with the simulation hypothesis). In this account, perception as a concept is shown to be muddled and confused. We do not really perceive the world per se. Rather, our brains instantiate a world-simulation that tracks fitness-relevant features of our environment. Our sensory apparatus merely selects which specific world-simulation our brain instantiates. In turn, our world-simulations causally covaries with the input our senses receive and the motor responses it elicits. Furthermore, evolutionary selection pressures, in some cases, work against accurate representations of one’s environment (so long as these are not fitness-enhancing). Hence, we could say that our perception of the world is an adaptive illusion more than an accurate depiction of our surroundings.

A great expositor of this view is Steve Lehar. We recommend his book about how psychonautical experience make clear the fact that we inhabit (and in some sense are) a world-simulation created by our brain. Below you can find some pictures from his “Cartoon Epistemology“, which narrates a dialogue between a direct and an indirect realist about perception:

This slideshow requires JavaScript.

Steve Lehar also points out that the very geometry of our world-simulation is that of a diorama. We evolved to believe that we can experience the world directly, and the geometry of our world-simulation is very well crafted to keep us under the influence of a sort of spell to makes us believe we are the little person watching the diorama. This world-simulation has a geometry that is capable of representing both nearby regions and far-away objects (and even points-at-infinity), and it represents the subject of experience with a self-model at its projective center.

We think that an account of how we experience time is possible under the assumption that experiential time is a structural feature of this world-simulation. In turn, we would argue that implicit direct realism about perception irrevocably confuses physical time and phenomenal time. For if one assumes that one somehow directly perceives the physical world, doesn’t that mean that one also perceives time? But in this case, what to make of exotic time experiences? With indirect realism we realize that we inhabit an inner world-simulation that causally co-varies with features of the environment and hence resolve to find the experience of time within the confines of one’s own skull.

2. Discrete Moments of Experience

A second key assumptions is that experiences are ontologically unitary rather than merely functionally unitary. The philosophy of mind involved in this key assumption is unfortunately rather complex and easy to misunderstand, but we can at least say the following. Intuitively, as long as one is awake an alert, it feels like one’s so-called “stream of consciousness” is an uninterrupted and continuous experience. Indeed, at the limit, some philosophers have even argued that one is a different person each day; subjects of experience are, as it were, delimited by periods of unconsciousness. We instead postulate that the continuity of experience from one moment to the next is an illusion caused be the way experience is constructed. In reality, our brains generate countless “moments of experience” every second, each with its own internal representation of the passage of time and the illusion of a continuous diachronic self.

Contrast this discretized view of experience with deflationary accounts of consciousness (which insist that there is no objective boundary that delimits a given moment of experience) and functionlist accounts of consciousness (which would postulate that experience is smeared across time over the span of hundreds of milliseconds).

The precise physical underpinnings of a moment of experience have yet to be discovered, but if monistic physicalism is to survive, it is likely that the (physical) temporal extension that a single moment of experience spans is incredibly thin (possibly no more than 10^-13 seconds). In this article we make no assumptions about the actual physical temporal extension of a moment of experience. All we need to say is that it is “short” (most likely under a millisecond).

It is worth noting that the existence of discrete moments of experience supports an Empty Individualist account of personal identity. That is, a person’s brain works as an experience machine that generates many conscious events every second, each with its own distinct coordinates in physical space-time and unique identity. We would also argue that this ontology may be compatible with Open Individualism, but the argument for this shall be left to a future article.

3. Qualia Formalism

This third key assumption states that the quality of all experiences can be modeled mathematically. More precisely, for any given moment of experience, there exists a mathematical object whose mathematical features are isomorphic the the features of the experience. At the Qualia Research Institute we take this view and run with it to see where it takes us. Which mathematical object can fully account for the myriad structural relationships between experiences is currently unknown. Yet, we think that we do not need to find the One True Mathematical Object in order to make progress in formalizing the structure of subjective experience. In this article we will simply invoke the mathematical object of directed graphs in order to encode the structure of local binding of a given experience. But first, what is “local binding”? I will borrow David Pearce’s explanation of the terms involved:

The “binding problem”, also called the “combination problem”, refers to the mystery of how the micro-experiences mediated by supposedly discrete and distributed neuronal edge-detectors, motion-detectors, shape-detectors, colour-detectors, etc., can be “bound” into unitary experiential objects (“local” binding) apprehended by a unitary experiential self (“global” binding). Neuroelectrode studies using awake, verbally competent human subjects confirm that neuronal micro-experiences exist. Classical neuroscience cannot explain how they could ever be phenomenally bound. As normally posed, the binding problem assumes rather than derives the emergence of classicality.

 

Non-Materialist Physicalism by David Pearce

In other words, “local binding” refers to the way in which the features of our experience seem to be connected and interwoven into complex phenomenal objects. We do not see a chair as merely a disparate set of colors, edges, textures, etc. Rather, we see it as an integrated whole with fine compositional structure. Its colors are “bound” to its edges which are “bound” to its immediate surrounding space and so forth.

A simple toy model for the structure of an experience can be made by saying that there are “simple qualia” such as color and edges, and “complex qualia” formed by the binding of simple qualia. In turn, we can represent an experience as a graph where each node is a simple quale and each edge is a local binding connection. The resulting globally connected graph corresponds to the “globally bound” experience. Each “moment of experience” is, thus, coarsely at any rate, a network.

While this toy model is almost certainly incomplete (indeed some features of experience may require much more sophisticated mathematical objects to be represented properly), it is fair to say that the rough outline of our experience can be represented with a network-like skeleton encoding the local binding connections. More so, as we will see, this model will suffice to account for many of the surprising features of phenomenal time (and its exotic variants).

Timeless Causality

While both physical and phenomenal time pose profound philosophical conundrums, it is important to denote that science has made a lot of progress providing formal accounts of physical time. Confusingly, even Einstein’s theory of general relativity is time-symmetric, meaning that the universe would behave the same whether time was moving forwards or backwards. Hence relativity does not provide, on its own, a direction to time. What does provide a direction to time are properties like the entropy gradient (i.e. the direction along which disorder is globally increasing) and, the focus of this article, causality as encoded in the network of statistical conditional independence. This is a mouthful, let us tackle it in more detail.

In Timeless Causality Yudkowsky argues one can tell the direction of causality, (and hence of the arrow of time) by examining how conditioning on events inform us about other events. We recommend reading the linked article for details (and for a formal account read SEP’s entry on the matter).

In the image above we have a schematic representation of two measurables (1 & 2) at several times (L, M, and R). The core idea is that we can determine the flow of causality by examining the patterns of statistical conditional independence, with questions like “if I’ve observed L1 and L2, do I gain information about M1 by learning about M2?” an so on*.

Along the same lines Wolfram has done research on how time may emerge in rule-based network modifications automata:

image-xlarge

Intriguingly, these models of time and causality are tenseless and hence eternalist. The whole universe works as a unified system in which time appears as an axis rather than a metaphysical universal metronome. But if eternalism is true, how come we can feel the passage of time? If moments of experience exist, how come we seem to experience movement and action? Shouldn’t we experience just a single static “image”, like seeing a single movie frame without being aware of the previous ones? We are now finally ready tackle these questions and explain how time may be encoded in the structure of one’s experience.

Pseudo-Time Arrow

pseudo_time_arrow_illustrated_1

Physical Time vs. Phenomenal Time (video source)

In the image above we contrast physical and phenomenal time explicitly. The top layer shows the physical state of a scene in which a ball is moving along a free-falling parabolic trajectory. In turn, a number of these states are aggregated by a process of layering (second row) into a unified “moment of experience”. As seen on the third row, each moment of experience represents the “present scene” as the composition of three slices of sensory input with a time-dependent dimming factor. Namely, the scene experienced is approximated with a weighted sum of three scenes with the most recent one being weighted the highest and the oldest the least.

In other words, at the coarsest level of organization time is encoded by layering the current input scene with faint after-images of very recent input scenes. In healthy people this process is rather subtle yet always present. Indeed, after-images are an omnipresent feature of sensory modalities (beyond sight).

A simple model to describe how after-images are layered on top of each other to generate a scene with temporal depth involves what we call “time-dependent qualia decay functions”. This function determines how quickly sensory (and internal) impressions fade over time. With e.g. psychedelics making this decay function significantly fatter (long-tailed) and stimulants making it slightly shorter (i.e. higher signal-to-noise ratio at the cost of reduced complex image formation).

With this layering process going on, and the Qualia Formalist model of experience as a network of local binding, we can further find a causal structure in experience akin to that in physical time (as explained in Timeless Causality):

Again, each node of the network represents a simple quale and each edge represents a local binding relationship between the nodes it connects. Then, we can describe the time-dependent qualia decay function as the probability that a node or an edge will vanish at each (physical) time step.

sober_pseudo_time_arrow_1

The rightmost nodes and edges are the most recent qualia triggered by sensory input. Notice how the nodes and edges vanish probabilistically with each time step, making the old layers sparsely populated.

With a sufficiently large network one would be able to decode the direction of causality (and hence of time) using the same principles of statistical conditional independence used to account for physical time. What we are proposing is that this underlies what time feels like.

Now that we understand what the pseudo-time arrow is, what can we do with it?

Explanatory Power: How the Pseudo-Time Arrow Explains Exotic Phenomenal Time

Let us use this explanatory framework on exotic experiences of time. That is, let us see how the network of local binding and its associated pseudo-time arrows can explain unusual experiences of time perception.

To start we should address the fact that tachypsychia (i.e. time dilation) could either mean (a) that “one experiences time passing at the same rate but that this rate moves at a different speed relative to the way clocks tick compared to typical perception” or, more intriguingly, (b) that “time itself feels slower, stretched, elongated, etc.”.

The former (a) is very easy to explain, while the latter requires more work. Namely, time dilation of the former variety can be explained by an accelerated or slowed down sensory sampling rate in such a way that the (physical) temporal interval between each layer is either longer or shorter than usual. In this case the structure of the network does not change; what is different is how it maps to physical time. If one were on a sensory deprivation chamber and this type of time dilation was going on one would not be able to say so since the quality of phenomenal time (as encoded in the network of local binding) remains the same as before. Perhaps compare how it feels like to see a movie in slow-motion relative to seeing it at its original speed while being perfectly sober. Since one is sober either way, what changes is how quickly the world seems to move, not how one feels inside.

The latter (b) is a lot more interesting. In particular, phenomenal time is often incredibly distorted when taking psychedelics in a way that is noticeable even in sensory deprivation chambers. In other words, it is the internal experience of the passage of time that changes rather than the layering rate relative to the external world. So how can we explain that kind of phenomenal time dilation?

Psychedelics

The most straightforward effect of psychedelics one can point out with regards to the structure of one’s experience is the fact that qualia seems to last for much longer than usual. This manifests as “tracers” in all sensory modalities. Using the vocabulary introduced above, we would say that psychedelics change the time-dependent qualia decay function by making it significantly “fatter”. While in sober conditions the positive after-image of a lamp will last between 0.2 and 1 second, on psychedelics it will last anywhere between 2 and 15 seconds. This results in a much more pronounced and perceptible change in the layering process of experience. Using Lehar’s diorama model of phenomenal space, we could represent various degrees of psychedelic intoxication with the following progression:

The first image is what one experiences while sober. The second is what one experiences if one takes, e.g. 10 micrograms of LSD (i.e. microdosing), where there is a very faint additional layer but is at times indistinguishable from sober states. The third, fourth, and fifth image represent what tracers may feel like on ~50, ~150, and ~300 micrograms of LSD, respectively. The last image is perhaps most reminiscent of DMT experiences, which provide a uniquely powerful and intense high-frequency layering at the onset of the trip.

In the graphical model of time we could say that the structure of the network changes by (1) a lower probability for each node to vanish in each (physical) time step, and (2) an even lower probability for each edge to vanish after each (physical) time step. The tracers experienced on psychedelics are more than just a layering process; the density of connections also increases. That is to say, while simple qualia lasts for longer, the connections between them are even longer-lasting. The inter-connectivity of experience is enhanced.

low_dose_lsd_pseudo_time_arrow

A low dose of a psychedelic will lead to a slow decay of simple qualia (colors, edges, etc.) and an even slower decay of connections (local binding), resulting in an elongated and densified pseudo-time arrow.

This explains why time seems to move much more slowly on psychedelics. Namely, each moment of experience has significantly more temporal depth than a corresponding sober state. To illustrate this point, here is a first-person account of this effect:

A high dose of LSD seems to distort time for me the worst… maybe in part because it simply lasts so long. At the end of an LSD trip when i’m thinking back on everything that happened my memories of the trip feel ancient.

When you’re experiencing the trip it’s possible to feel time slowing down, but more commonly for me I get this feeling when I think back on things i’ve done that day. Like “woah, remember when I was doing this. That feels like it was an eternity ago” when in reality it’s been an hour.

 

Shroomery user Subconscious in the tread “How long can a trip feel like?

On low doses of psychedelics, phenomenal time may seem to acquire a sort of high definition unusual for sober states. The incredible (and accurate) visual acuity of threshold DMT experiences is a testament to this effect, and it exemplifies what a densified pseudo-time arrow feels like:

SONY DSC

Just as small doses of DMT enhance the definition of spatial structures, so is the pseudo-time arrow made more regular and detailed, leading to a strange but compelling feeling of “HD vision”.

But this is not all. Psychedelics, in higher doses, can lead to much more savage and surrealistic changes to the pseudo-time arrow. Let us tackle a few of the more exotic variants with this explanatory framework:

Time Loops

This effect feels like being stuck in a perfectly-repeating sequence of events outside of the universe in some kind of Platonic closed timelike curve. People often accidentally induce this effect by conducting repetitive tasks or listening to repetitive sounds (which ultimately entrain this pattern). For most people this is a very unsettling experience since it produces a pronounce feeling of helplessness due to making you feel powerless about ever escaping the loop.

In terms of the causal network, this experience could be accounted for with a loop in the pseudo-time arrow of experience:

high_dose_lsd_infinite

High Dose LSD can lead to annealing and perfect “standing temporal waves” often described as “time looping” or “infinite time”

Moments of Eternity

Subjectively, so-called “Moments of Eternity” are extremely bizarre experiences that have the quality of being self-sustaining and unconditioned. It is often described in mystical terms, such as “it feels like one is connected to the eternal light of consciousness with no past and no future direction”. Whereas time loops lack some of the common features of phenomenal time such as a vanishing past, moments of eternity are even more alien as they also lack a general direction for the pseudo-time arrow.

high_dose_lsd_moment_of_eternity

High Dose LSD may also generate a pseudo-time arrow with a central source and sink to that connects all nodes.

Both time loops and moments of eternity arise from the confluence of a slower time-dependent qualia decay function and structural annealing (which is typical of feedback). As covered in previous posts, as depicted in numerous psychedelic replications, and as documented in PsychonautWiki, one of the core effects of psychedelics is to lower the symmetry detection threshold. Visually, this leads to the perception of wallpaper symmetry groups covering textures (e.g. grass, walls, etc.). But this effect is much more general than mere visual repetition; it generalizes to the pseudo-time arrow! The texture repetition via mirroring, gyrations, glides, etc. works indiscriminately across (phenomenal) time and space. As an example of this, consider the psychedelic replication gifs below and how the last one nearly achieves a standing-wave structure. On a sufficient dose, this can anneal into a space-time crystal, which may have “time looping” and/or “moment of eternity” features.

oscillation_1_5_5_75_5_1_10_0.05_signal_

Sober Input

Temporal Branching

As discussed in a previous post, a number of people report temporal branching on high doses of psychedelics. The reported experience can be described as simultaneously perceiving multiple possible outcomes of a given event, and its branching causal implications. If you flip a coin, you see it both coming up heads and tails in different timelines, and both of these timelines become superimposed in your perceptual field. This experience is particularly unsettling if one interprets it through the lens of direct realism about perception. Here one imagines that the timelines are real, and that one is truly caught between branches of the multiverse. Which one is really yours? Which one will you collapse into? Eventually one finds oneself in one or another timeline with the alternatives having been pruned. An indirect realist about perception has an easier time dealing with this experience as she can interpret it as the explicit rendering of one’s predictions about the future in such a way that they interfere with one’s incoming sensory stimuli. But just in case, in the linked post we developed an empirically testable predictions from the wild possibility (i.e. where you literally experience information from adjacent branches of the multiverse) and tested it using quantum random number generators (and, thankfully for our collective sanity, obtained null results).

high_dose_lsd_branching

High Dose LSD Pseudo-Time Arrow Branching, as described in trip reports where people seem to experience “multiple branches of the multiverse at once.”

Timelessness

Finally, in some situations people report the complete loss of a perceived time arrow but not due to time loops, moments of eternity, or branching, but rather, due to scrambling. This is less common on psychedelics than the previous kinds of exotic phenomenal time, but it still happens, and is often very disorienting and unpleasant (an “LSD experience failure mode” so to speak). It is likely that this also happens on anti-psychotics and quite possibly with some anti-depressants, which seem to destroy unpleasant states by scrambling the network of local binding (rather than annealing it, as with most euphoric drugs).

pseudo_time_arrow_loss

Loss of the Pseudo-Time Arrow (bad trips? highly scrambled states caused by anti-psychotics?)

In summary, this framework can tackle some of the weirdest and most exotic experiences of time. It renders subjective time legible to formal systems. And although it relies on an unrealistically simple formalism for the mathematical structure of consciousness, the traction we are getting is strong enough to make this approach a promising starting point for future developments in philosophy of time perception.

We will now conclude with a few final thoughts…

Hyperbolic Geometry

Intriguingly, with compounds such as DMT, the layering process is so fast that on doses above the threshold level one very quickly loses track of the individual layers. In turn, one’s mind attempts to bind together the incoming layers, which leads to attempts of stitching together multiple layers in a small (phenomenal) space. This confusion between layers compounded with a high density of edges is the way we explained the unusual geometric features of DMT hallucinations, such as the spatial hyperbolic symmetry groups expressed in its characteristic visual texture repetition (cf. eli5). One’s mind tries to deal with multiple copies of e.g. the wall in front, and the simplest way to do so is to stitch them together in a woven Chrysanthemum pattern with hyperbolic wrinkles.

Implementation Level of Abstraction

It is worth noting that this account of phenomenal time lives at the algorithmic layer of Marr’s levels of abstraction, and hence is an algorithmic reduction (cf. Algorithmic Reduction of Psychedelic States). A full account would also have to deal with how these algorithmic properties are implemented physically. The point being that a phenomenal binding plus causal network account of phenomenal time work as an explanation space whether the network itself is implemented with connectome-specific harmonic wavesserotonergic control-interruption, or something more exotic.

Time and Valence

Of special interest to us is the fact that both moments of eternity and time loops tend to be experienced with very intense emotions. One could imagine that finding oneself in such an altered state is itself bewildering and therefore stunning. But there are many profoundly altered states of consciousness that lack a corresponding emotional depth. Rather, we think that this falls out of the very nature of valence and the way it is related to the structure of one’s experience.

In particular, the symmetry theory of valence (STV) we are developing at the Qualia Research Institute posits that the pleasure-pain axis is a function of the symmetry (and anti-symmetry) of the mathematical object whose features are isomorphic to an experience’s phenomenology. In the case of the simplified toy model of consciousness based on the network of local binding connections, this symmetry may manifest in the form of regularity within and across layers. Both in time loops and moments of eternity we see a much more pronounced level of symmetry of this sort than in the sober pseudo-time arrow structure. Likewise, symmetry along the pseudo-time arrow may explain the high levels of positive valence associated with music, yoga, orgasm, and concentration meditation. Each of these activities would seem to lead to repeating standing waves along the pseudo-time arrow, and hence, highly valence states. Future work shall aim to test this correspondence empirically.

QRIalpha (1)

The Qualia Research Institute Logo (timeless, as you can see)


* As Yudkowsky puts it:

causeright_2

Suppose that we do know L1 and L2, but we do not know R1 and R2. Will learning M1 tell us anything about M2? […]

The answer, on the assumption that causality flows to the right, and on the other assumptions previously given, is no. “On each round, the past values of 1 and 2 probabilistically generate the future value of 1, and then separately probabilistically generate the future value of 2.” So once we have L1 and L2, they generate M1 independently of how they generate M2.

But if we did know R1 or R2, then, on the assumptions, learning M1 would give us information about M2. […]

Similarly, if we didn’t know L1 or L2, then M1 should give us information about M2, because from the effect M1 we can infer the state of its causes L1 and L2, and thence the effect of L1/L2 on M2.



Thanks to: Mike Johnson, David Pearce, Romeo Stevens, Justin Shovelain, Andrés Silva Ruiz, Liam Brereton, and Enrique Bojorquez for their thoughts about phenomenal time and its possible mathematical underpinnings. And to Alfredo Valverde for pointing me to the Erlangen program, wh

Materializing Hyperbolic Spaces with Gradient-Index Optics and One-Way Mirrors

Burning Man is one week away, so I figured I would share a neat idea I’ve been hoarding  that could lead to a kick-ass Burning Man-style psychedelic art installation. If I have the time and resources to do so, I may even try to manifest this idea in real life at some point.

Around the time I was writing The Hyperbolic Geometry of DMT Experiences (cf. Eli5) I began asking myself how to help people develop a feel for what it is like to inhabit non-Euclidean phenomenal spaces. I later found out that Henry Segerman developed an immersive VR experience in which you can explore 3D hyperbolic spaces. That is fantastic, and a great step in the right direction. But I wanted to see if there was any way for us to experience 3D hyperbolic geometry in a material way without the aid of computers. Something that you could hold in your hand, like a sort of mystical amulet that works as a reminder of the vastness of the state-space of consciousness.

What I had in mind was along the lines of how we can, in a sense, visualize infinite (Euclidean) space using two parallel mirrors. I thought that maybe there could be a way to do the same but in a way that visualizes a hyperbolic space.

One-Way Mirrors and 3D Space-Filling Shapes

Right now you can use one-way mirrors on the sides of a polyhedra whose edges are embedded with LEDs to create a fascinating “infinite space effect”:

This works perfectly for cubes in particular, given that cubes are symmetrical space-filling polyhedra. But as you can see in the video above, the effect is not quite perfect when we use dodecahedra (or any other Platonic solid). The corners simply do not align properly. This is because the solid angles of non-cube Platonic solids cannot be used to cover perfectly 4π steradians (i.e. what 8 cubes do when meeting at a corner):

n-light-objects-header

This is not the case in hyperbolic space, though; arbitrary regular polyhedra can tesselate 3D hyperbolic spaces. For instance, one can use dodecahedra by choosing their size appropriately in such a way that they all have 90 degree angle corners (cf. Not Knot):

Gradient-Index Optics

Perhaps, I thought to myself, there is a way to physically realize hyperbolic curvature and enable us to see what it is like to live in a place in which dodecahedra tesselate space. I kept thinking about this problem, and one day while riding the BART and introspecting on the geometry of sound, I realized that one could use gradient-index optics to create a solid in which light-paths behave as if the space was hyperbolic.

Gradient-index optics is the subfield of optics that specializes in the use of materials that have a smooth non-constant refractive index. One way to achieve this is to blend two transparent materials (e.g. two kinds of plastic) in such a way that the concentration of each type varies smoothly from one region to the next. As a consequence, light travels in unusual and bendy ways, like this:

Materializing Hyperbolic Spaces

By carefully selecting various transparent plastics with different indices of refraction and blending them in a 3D printer in precisely the right proportions, one can in principle build solids in which the gradient-index properties of the end product instantiate a hyperbolic metric. If one were to place the material with the lowest refraction index at the very center in a dodecahedron and add materials of increasingly larger refractive indices all the way up to the corners, then the final effect could be one in which the dodecahedron has an interior in which light moves as if it were in a hyperbolic space. One can then place LED strips along the edges and seal the sides with one-way window film. Lo-and-behold, one would then quite literally be able to “hold infinity in the palm of your hand”:

dodecahedra_hyperbolic

I think that this sort of gadget would allow us to develop better intuitions for what the far-out (experiential) spaces people “visit” on psychedelics look like. One can then, in addition, generalize this to make space behave as if its 3D curvature was non-constant. One might even, perhaps, be able to visualize a black-hole by emulating its event-horizon using a region with extremely large refractive index.

6a00d8341bf7f753ef01b7c863d353970b

Challenges

I would like to conclude by considering some of the challenges that we would face trying to construct this. For instance, finding the right materials may be difficult because they would need to have a wide range of refractive indices, all be similarly transparent, able to smoothly blend with each other, and have low melting points. I am not a material scientist, but my gut feeling is that this is not currently impossible. Modern gradient-index optics already has a rather impressive level of precision.

Another challenge comes from the resolution of the 3D printer. Modern 3D printers have layers with a thickness between .2 to 0.025mm. It’s possible that this is simply not small enough to avoid visible discontinuities in the light-paths. At least in principle this could be surmounted by melting the last layer placed such that the new layer smoothly diffuses and partially blends with it in accordance with the desired hyperbolic metric.

An important caveat is that the medium in which we live (i.e. air at atmospheric pressure) is not very dense to begin with. In the example of the dodecahedra, this may represent a problem considering that the corners need to form 90 degree angles from the point of view of an outside observer. This would imply that the surrounding medium needs to have a higher refraction index than that of the transparent medium at the corners. This could be fixed by immersing the object in water or some other dense media (and designing it under the assumption of being surrounded by such a medium). Alternatively, one can simply fix the problem by using appropriately curved sides in lieu of straight planes. This may not be as aesthetically appealing, though, so it may pay off to brainstorm other clever approaches to deal with this that I haven’t thought of.

Above all, perhaps the most difficult challenge would be that of dealing with the inevitable presence of chromatic aberrations:

Since the degree to which a light-path bends in a medium depends on its frequency, how bendy light looks like with gradient-index optics is variable. If the LEDs placed at the edges of the polyhedra are white, we could expect very visible distortions and crazy rainbow patterns to emerge. This would perhaps be for the better when taken for its aesthetic value. But since the desired effect is one of actually materializing faithfully the behavior of light in hyperbolic space, this would be undesirable. The easiest way to deal with this problem would be to show the gadget in a darkened room and have only monochrome LEDs on the edges of the polyhedra whose frequency is tuned to the refractive gradient for which the metric is hyperbolic. More fancifully, it might be possible to overcome chromatic aberrations with the use of metamaterials (cf. “Metasurfaces enable improved optical lens performance“). Alas, my bedtime is approaching so I shall leave the nuts and bolts of this engineering challenge as an exercise for the reader…

The Appearance of Arbitrary Contingency to Our Diverse Qualia

By David Pearce (Mar 21, 2012; Reddit AMA)

 

The appearance of arbitrary contingency to our diverse qualia – and undiscovered state-spaces of posthuman qualia and hypothetical micro-qualia – may be illusory. Perhaps they take the phenomenal values they do as a matter of logico-mathematical necessity. I’d make this conjecture against the backdrop of some kind of zero ontology. Intuitively, there seems no reason for anything at all to exist. The fact that the multiverse exists (apparently) confounds one’s pre-reflective intuitions in the most dramatic possible way. However, this response is too quick. The cosmic cancellation of the conserved constants (mass-energy, charge, angular momentum) to zero, and the formal equivalence of zero information to all possible descriptions [the multiverse?] means we have to take seriously this kind of explanation-space. The most recent contribution to the zero-ontology genre is physicist Lawrence Krauss’s readable but frustrating “A Universe from Nothing: Why There Is Something Rather Than Nothing“. Anyhow, how does a zero ontology tie in with (micro-)qualia? Well, if the solutions to the master equation of physics do encode the field-theoretic values of micro-qualia, then perhaps their numerically encoded textures “cancel out” to zero too. To use a trippy, suspiciously New-Agey-sounding metaphor, imagine the colours of the rainbow displayed as a glorious spectrum – but on recombination cancelling out to no colour at all. Anyhow, I wouldn’t take any of this too seriously: just speculation on idle speculation. It’s tempting simply to declare the issue of our myriad qualia to be an unfathomable mystery. And perhaps it is. But mysterianism is sterile.