Kaleidoscopic Integration: Annealing, Symmetry, and the Information Theory of Experience

Symmetric_pattern_drifting

HP: What exactly is “symmetrical texture repetition”?

JE: Symmetrical texture repetition is just one of many complex visual distortions or alterations which consistently occur throughout psychedelic experiences on substances such as LSD, Psilocin, Ayahuasca, Mescaline, 2C-B, 2C-E and many others.

It can be described as the organization of rough textures within the external environment becoming mirrored repeatedly over its own surface in an extremely intricate and symmetrical fashion that is consistent across itself. This remains at an unchanging level of extremely high detail and visual clarity within both a person’s direct line of visual focus and peripheral vision.

 

As these repeating textures are generated they begin to give rise to a huge array of abstract forms, imagery, geometry and patterns that are perceived to be embedded within and across the symmetry.

 

Interview with Chelsea Morgan, a prolific and talented psychedelic replication artist

Towel (1)

Towel texture enhancement by Chelsea Morgan. Source.

Ice_by_Chelsea_Morgan

Ice symmetrical texture repetition by Chelsea Morgan. Source.

How it feels like to symmetry-unify from the inside, a case study:

Onion Article Headline 2016: Synesthetic Couch-Texture Not Quite Ready to Merge with Lamp Turned Space-Filling Line System, Says It Needs to Make Itself More Spiky First

 

Inside Alice’s acid-filled brain today, we are now about to experience for the 6th time or so how various blobs of textures are trying to merge into a coherent super structure. According to local sources, Alice is currently feeling a sense of awe and anticipation as the two big texture clusters in her field of vision are beginning to interact with each other. She is excited to notice that one of them is “calling” the other into it, and giving it ideas on how to “plug in geometrically” with it.

 

Alice, who reportedly took 160 micrograms of LSD roughly 3 hours ago, narrates how it felt like to make a super-symmetrical system in her visual-kinesthetic field for the 5th time:

 

“I don’t know if this was the result of alien intelligences messing up with my brain, perhaps a mystical vision about how my ancestors’ experiences connect to mine, or if it was just a strange quantum-entanglement phenomenon in consciousness currently undocumented in the scientific literature, but duude! That one time the couch texture blob made itself more spiky in order to merge with the the space-filling lamp… that was awesome. I look forward to it happening again, but now also including the carpet, walls, and my hands. Leave no texture behind – the resonant symmetry super-structure can make room for everyone.” – Said Alice, in closing.

Psychedelic Symmetry: A Window Into the Information-Theoretic Properties of Experience?

My friend Tim who had not done LSD for many years, responded to this sudden 5 hit dose by going into a state of complete dissociation. He lay down on the forest floor with glassy eyes, muttering “It is TOO beautiful! It is TOO beautiful!” and he did not respond to me, even when I stared him straight in the face. He reported afterwards that he found himself in a giant Gothic cathedral with the most extravagantly elaborate and brightly painted ornamental decorations all around him. This too can be seen as an extreme form of the regularization discussed above. Under the influence of this powerful dose, Tim’s visual brain could no longer keep up with the massive irregularity of the forest around him, and therefore presented the forest in simplified or abbreviated form, as the interior of a Gothic cathedral. It captures the large geometry of a ground plane that supports an array of vertical columns, each of which fans out high overhead to link up into an over-arching canopy of branches. The only difference is that in the Gothic cathedral the trees are in a regular geometrical array, and each one is a masterpiece of compound symmetry, composed of smaller pillars of different diameters in perfectly symmetrical arrangements, and studded with periodic patterns of ribs, ridges, or knobby protuberances as a kind of celebration of symmetry and periodicity for their own sake. There is a kind of geometrical logic expressed in the ornamental design. If part of the cathedral were lost or destroyed, the pattern could be easily restored by following the same logic as the rest of the design. In information-theoretic terms, the Gothic cathedral has lots of redundancy, its pattern could be expressed in a very much simpler compressed geometrical code. In Tim’s drug-addled brain his visual system could only muster a simple code to represent the world around him, and that is why Tim saw the forest as a Gothic cathedral. Under normal conditions, the additional information of irregularity, or how each tree and branch breaks from the strict regularity of the cathedral model of it, creates the irregular world of experience that we normally see around us. This suggests that the beautiful shapes of ornamental art are not the product of the highest human faculty, as is commonly supposed, but rather, ornamental art offers a window onto the workings of a simpler visual system, whose image of the world is distorted by artifacts of the representational scheme used in the brain. The Gothic cathedral gives a hint as to how the world might appear to a simpler creature, a lizard, or a snake, to whom the world appears more regular than it does to us, because its full irregularity is too expensive to encode exhaustively in all its chaotic details. Of course the flip-side of this rumination is that the world that we humans experience, even in the stone-cold sober state, is itself immeasurably simpler, more regular and geometric, that the real world itself, of which our experience is an imperfect replica. In the words of William Blake, “If the doors of perception were cleansed, everything would appear to man as it is, infinite.”

– “The Grand Illusion” by Cognitive Scientist Steven Lehar

960


What is the information content of a gothic cathedral? What percentage of it needs to burn down to make it impossible to reconstruct from the ruins alone?

Why Does Any of This Matter? The Deceptively Profound Implications of Psychedelic Symmetry According to Cognitive Scientist Steven Lehar

But there was one aspect of the LSD experience that had me truly baffled, and that was the fantastic symmetries and periodicities that were so characteristic of the experience. What kind of neural network model could possibly account for that? It was an issue that I grappled with for many months that stretched into years. In relation to Grossberg’s neural network, it seemed that the issue concerned the question of what happens at corners and vertices where contours meet or cross. A model based on collinearity alone would be stumped at image vertices. And yet a straightforward extension of Grossberg’s neural network theory to address image vertices leads to a combinatorial explosion. The obvious extension, initially proposed by Grossberg himself, was to posit specialized “cooperative cells” with receptive fields configured to detect and enhance other configurations of edges besides ones that are collinear. But the problem is that you would need so many different specialized cells to recognize and complete every possible type of vertex, such as T and V and X and Y vertices, where two or more edges meet at a point, and each of these vertex types would have to be replicated at every orientation, and at every location across the whole visual field! It just seemed like a brute-force solution that was totally implausible.

Then one day after agonizing for months on this issue, my LSD observations of periodic and symmetrical patterns suddenly triggered a novel inspiration. Maybe the nervous system does not require specialized hard-wired receptive fields to accomodate every type of vertex, replicated at every orientation at every spatial location. Maybe the nervous system uses something much more dynamic and adaptive and flexible. Maybe it uses circular standing waves to represent different vertex types, where the standing wave can bend and warp to match the visual input, and standing waves would explain all that symmetry and periodicity so clearly evident in the LSD experience as little rotational standing waves that emerge spontaneously at image vertices, and adapt to the configuration of those vertices. Thanks to illegal psychotropic substances, I had stumbled on a staggeringly significant new theory of the brain, a theory which, if proven right, would turn the world of neuroscience on its head! My heart raced and pounded at the implications of what I had discovered. And this theory became the prime focus of my PhD thesis (Lehar 1994), in which I did computer simulations of my harmonic resonance model that replicated certain visual illusions in a way that no other model could. I had accomplished the impossible. I had found an actual practical use and purpose for what was becoming my favorite pass-time, psychedelic drugs! It was a moment of glory for an intrepid psychonaut, a turning point in my life. Figure 2.6 shows a page from my notebook dated October 6 1992, the first mention of my new theory of harmonic resonance in the brain.

– “The Grand Illusion” by Cognitive Scientist Steven Lehar

lehar_2_6


Featured image credit: Simon Haiduk

Free-Wheeling Hallucinations

[at 12:40] Q: Is the content of our experience epistemological?

A: If you take the right combination of psychedelic substances* you can get yourself in a state which is a full free-wheeling hallucination, which looks every bit as real as this world, and yet you know it’s not real because of the crazy things that happen in that world. You can have direct conscious control of those objects. You can say “give me a table” and a table will appear right in front of you as real as a solid table. Now, the first time you have this experience you think “Oh My God! What is this? What’s going on?” And the most profoundly shocking thing about the experience is the complete and total absence of your own body at the center of the experience. So here you have a space, somewhat like this space you see in this room… but there’s nobody in it! And yet the space is crammed full of images that morph rapidly from one to another through all kinds of crazy contortions. And your sense of your own self is forced to migrate away from the body that’s no longer there and takes up residence in the space itself, and you become aware of the fact that there is this spherical theater of the mind in which images are generated by your mind, full three-dimensional solid-looking real images with color, and lightning, and shadow, and mirror image effects, and reflections, and refractions. Everything we see in the normal world, and yet obviously they are not images of the world, they are images that are generated inside the mind. And that there shows that the space of our experience is a representational space that’s capable of maintaining images, but that the images have no real external reality- unless they happened to be coupled to external events. And this is the distinction that many seers and thinkers have made between the imaging mechanism that’s capable of generating images, and the images that it generates.


* Which drug combinations produce free-wheeling hallucinations? We find a more in-depth description of the phenomenon in Lehar’s book The Grand Illusion. The type of drug combo reported to lead to free-wheeling hallucinations in this book involves mixing a dissociative (DXM, PCP, Ketamine) and a psychedelic or psychedelic-like substance (LSD, Mescaline, even THC). For example DXM + THC (marijuana) is the first combination reported to produce this effect. Later on Ketamine + LSD + THC is proposed as the most effective method to achieve this state.

Here is an excerpt from the book that discusses the phenomenon in detail (pgs. 63-70 and 109):

Around the time I was experimenting with ecstasy and LSD, I discovered a whole new class of drugs, the dissociative drugs. Unbeknownst to me at the time, my experiments with Nitrous Oxide had been my first foray into the dissociative realm. Perusing on the internet brought my attention to Dextromethorphan, or DXM, known in the drug world as “Robo”, because it is the active ingredient in Robitussin DM, the cough medicine. Following my education on the internet, I took my first Robo experience by slugging down a whole bottle of the sickly sweet Robitussin syrup, which I could only hold down for a while before it all came back up again. The result was a state of profound mental befuddlement. I really had no clue at all. I became very uncoordinated, and could only move slowly like a sloth, for fear of losing my balance and falling over. And my thoughts shrank down to a tiny trickle of one intense but simple thought at a time. It was only by accident that I discovered the unique power of Robo. I was lying on my bed, probably wondering why I was doing this to myself, when I noticed a peculiar phenomenon. When I closed my eyes, the world around me failed to disappear! There it was, bold as brass, right there before me in all its color and glory, while my eyelids were firmly closed! I blinked open, then closed again. No difference! My eyelids had become transparent! I could see right through them! What was actually happening was that my mind had made an image of the world before me, partly as a visual after-image, and partly by visual memory and perceptual filling-in, and it was presenting that image to me with eyes closed as if my eyes were still open! It was absolutely extraordinary! It was only on a later occasion, several years later, that I discovered that these hallucinations need not be boring copies of consensual reality, as had occurred in this case, but if you just ask for them to present something more interesting, they will happily oblige! In other words, Robo gives you the power to produce full free-wheeling hallucinations on demand! You can experience virtually anything you want, if you can just imagine it! Those of you who are familiar with the phenomenon of lucid dreaming, the ability to have startlingly real and vibrant dreams which can also be brought under voluntary control, already know of this wondrous capacity of the human mind, to build complete synthetic hallucinated worlds of visual experience every bit as vivid and apparently real as the waking world. If nothing else, this should clearly clinch the case for the World In Your Head.

On the internet I later read about robo parties where people would assemble in one room, consume Robo simultaneously, then they lie back and close their eyes and share a collective hallucination. For example they might agree in advance to take a trip to the moons of Mars. Then they all lie down and close their eyes, and their collective trip would begin. One will say “fasten your seat belts”, another will hit the launch button, a third might remark on the rumble of the rocket and the view of the sky out the viewport, and everything that they describe is hallucinated by everyone else simultaneously, although each in their own personal way, so they are literally sharing a single consensual experience, except this time totally de-coupled from objective external reality. The very existence or possibility of this capacity is very instructive of the principles behind human perception.

In my own solitary explorations of the dissociated state I put this imaging power to the test, with a combination of Robo and Marijuana. This time I had read about a chemical procedure by which one can separate the Robo from the Robitussin DM with an acid / base reduction process. I carefully followed the directions in my kitchen, and what emerged after a couple of hours of mixing and boiling, was a glob of clear goo at the bottom of my beaker. I tasted it, and it tasted like hell fire! It was inconsumable! So I stirred it up with some orange juice and slugged it all down. I immediately felt very very sick, and after no more than about a minute, it all came back up again, to my great relief. But the chemical had done its thing, and I was plunged into a state of the deepest mental confusion. I retreated to my tripping room and reclined on my recliner, took a few notes in my notebook, and recorded the time. The image of the clock, and everything else in the room, was double. Even with an effort of will, I could not fuse my binocular vision, so it became more easy and comfortable to just close my eyes. What followed was some number of hours of the wildest mental confusion, with senseless whirling images tumbling through my mind, one following the next in completely senseless procession. I just let it go and went for the ride, having lost all sense of who or even what I was, or where I was located. All that existed for me was those chaotic tumbling patterns.

[…]

In any case, I “awoke” the next morning in a very gray and colorless foggy space with little in the way of mental images, just a gray sense of being trapped within the vast cavern of my mind. I opened my eyes to a double-image world, and found the pipe thoughtfully pre-loaded with marijuana that I had left for myself, along with the clock and notepad, before launching into the experience the day before. And sure enough, consistent with my new theory, after smoking the pipe, I closed my eyes and found that the internal world was now splashed with color and light and all kinds of interesting shapes and patterns. I had arrived in the state I had been targeting all along.

Once I realized that I was in the free-wheeling hallucination stage, I took a look at the experience. Where was my body? I was in a space somewhat like the last room I remembered being in, but I had no body! Or did I? When I looked down at my hands, (with eyes actually closed) there they were, floating in space, disconnected from anything else. And the rest of my body was just gone! Or was it? When I asked myself about it, there it was! Or I could make it disappear again at will! My choice! I was like God who can think any thought, and it becomes reality. So I thought to myself “let there be a table”, and there was a table! Right there in front of me! A rectangular top, four legs, aspect ratio about 1:2, just your typical canonical table. And I could rotate it in my mind’s eye to see it from any angle I chose, and I could translate, rotate, and zoom my viewpoint by just wishing it. I could even turn my viewpoint upside-down. I tried it! And when I zoomed in to examine the table closer I discovered a strange thing. If I did not bother to imagine a body for myself, then I had a disembodied experience, like the view from an eyeball floating in empty space. I could see a view from a point, but there was no body or self at that point. And in this disembodied state there was no longer an objective sense of scale. When I zoomed in to take a closer look at the table there was no distinction between my looking from closer, and the table simply zooming to larger size. Zooming in on the table was at the same time shrinking down to the size of an ant. This gave direct meaning to Empedocles’s dictum that man is the measure of all things.

But there were limits to what I was able to image. For example I tried to fulfill one of my long time fantasies, and fly a Spitfire in aerial combat in the Battle of Britain. “Let there be a spitfire cockpit around me”, I commanded, and there it was, with a view of the English countryside from 20,000 feet. But the picture was not very good. I could only see one instrument at a time on the panel, and even that only with an effort, and the view of the world around me was very sketchy and simplistic, so I gave it up after a while. I guess there are limits to the power of imagination in the dissociated state. It is extraordinarily difficult to keep one’s head in such a dissociated state. The free-wheeling hallucination stage follows only after a period of such profound confusion and dissociation that no coherent pictures can form, there is just a wild roller-coaster ride of one fantastical vision after another in such a nonsensical sequence as to make your head spin. When things settle down a bit, and your experience settles into a more stable, coherent state, it is hard to remember that this journey was taken for a purpose, and that the scientific psychonaut should remember to observe and remember as much as he can. The experience is generally a chaotic blur, with little flashes of imagery that are later recalled piecemeal. For example I remember seeing a head, in 3-D right before me, but it was flickering and flashing at a truly blinding rate between millions of variations, a black face, a white face, a man, a woman, an ape, an android, but flashing so fast between these countless alternatives like fanning rapidly through a picture book with your thumb. I found it extraordinary that my mind was capable of such rapid switching of imagery, especially considering the fact that the mind is slowed considerably by the effects of dissociative drugs, and that was probably the only reason that I could distinguish the fleeting individual heads at all. Under more normal consciousness the many heads blur into one general head of indefinite features, the general concept of head that applies to all heads, and thus to none individually. In retrospect, after much contemplation of this and other similar experiences, I came to hypothesize that I was seeing the method by which the brain expresses the general concept, which it does apparently in a very literal way, as a kind of probabilistic superposition of mutually inconsistent alternatives through which it cycles at a blinding speed. This is what your visual system does in a flash when a new face appears, before settling on the one face recreated from memory that best fits the sensory evidence before us. This was a profoundly moving discovery.

The dissociative state does more than just dissociate your experience from the external world, creating a solipsistic inner experience, but it also dissociates one brain area from another, causing a mental fragmentation in which one no longer feels like a single individual, but as a kind of fragmented collective consciousness almost like a multiple-personality syndrome, or a cacophony of asynchronous “group thought”. The most direct and obvious manifestation of this strong dissociation was seen in vision turning double, as also happens when one is profoundly drunk. It just becomes too great an effort to keep the two eyes fused, so one tends to relax and just let the world turn double, each eye ignoring the experience of the other, and thus, it is normally more relaxing and less disturbing to simply close your eyes, and in the dissociated state this does nothing to reduce the vividness or clarity of the experience. Thoughts also dissociate from each other, allowing one part of your mind to think one thing, while another part thinks something completely different. Your mind becomes a cacophony of discordant voices, you lose your sense of being a single self. This also was a fascinating experience with profound philosophical implications.

There is a strange sense of space that takes over as your world of experience becomes dissociated, as your perceived body fragments into a million pieces and dissolves seamlessly into the surrounding world of non-self, or perhaps it is more accurate to say that the self expands outward to encompass the whole world of your experience. Your self is transformed from a central body-shaped object, to a larger spatial void that is just crammed full of images madly morphing from one pattern to the next. This world is your all, it is the screen that defines the maximum extent of your possible experience, just as a television screen, with its glowing colored dots, defines the full range of all possible images that can be expressed in that gamut of colors. And during the free-wheeling hallucination stage, I would experience a succession from one moving experience to the next, from Egyptian pyramids in a desert, to the mountains of Mars, to people, faces, creatures, concepts, and wild pattens in an endless state of flux. It is one thing to read about these experiences as happening to someone else, but it is quite another to “be” those endless visions, and to have them be as real to you as any experience in the real world!

I came to call this phenomenon the “egg world”, a roughly ellipsoidal volume of space stretching to often dark shadowy and indistinct limits, like the dome of the sky matched by the bowl of an inverted sky, but with a curious missing hemifield back behind what would have been behind my head, a volumetric space in which the images appear, morphing from one interpretation to the next, like a surrealistic painting by Dali. In fact, the radical transformation of one object to something completely different, was typical of the visual transformations, they tended to shift abruptly like one of those Gestalt illusions where a young lady is transformed into an old hag, and back again. In this profound state of intoxication I lost all sense of the distinction between the world itself and the experience of it in my mind. I got the sense that I was directly experiencing the cataclysmic transformation of the universe, or at least the only universe of which I was aware, and that whole universe was exploding into senseless fragments. I felt I was witnessing the cataclysmic birth or death of the entire universe, witnessed not by viewing from the outside, but by being the universe undergoing those cataclysmic events. There was nothing else beyond myself that entered into my awareness, I was isolated in a kind of “brain in a vat” solipsistic experience disconnected from external reality.

And yet at the same time I had a sense that my universe was finite and bounded, delimited by the outer shell of the egg-like space, a surface whose distance was indefinite or fuzzy, or changeable, not unlike the space you see before you with eyes closed, or in pitch darkness, and the dimensions of that space seemed to depend on what was being imaged in that space. I had a claustrophobic sensation of being trapped within the confines of this egg-shaped world, and in that thought was embodied the notion of the possible existence of something else beyond, of the great infinite blackness of non-experience beyond the limits of my experienced world.

And with that thought, there came another, which I found even more moving still. With that thought came a thought, why do I have to be trapped within my own self? Why can’t this beautiful energetic spirit that is me, escape the confines of my brain, and go out into the external world? Not as a supernatural spirit, I don’t believe in those. But as a resonance in some kind of resonator built for that purpose, that operates on the same essential principles as the resonance in our brain. Why don’t we build machines that have the same power of dynamic image generation as our brain, and thus, create consciousness beyond the biological mind? And if we can create resonators that replicate the principle of the human brain, we can then interconnect them in a global network, where the images in the various resonators would be coupled with each other so as to produce a single emergent global mind, distributed across all the resonators in the network. It is hard to express the profoundly moving nature of that thought. This was the philosophy of experience seen in a completely different light.

There was another aspect of the dissociated psychedelic experience that impressed itself on me, and that was the sound that I heard. Although I tended not to notice unless I attended to it deliberately, there was a strange and constant sound in the background during all these experiences, and that sound could be described as the thrumming of some great machine, or the drone of enormous deep organ pipes that vibrated to the core of my soul. There was a kind of “chugga chugga chugga” or “thumpa thumpa thumpa” sound, but that was only one component. On top of that were higher pitched and faster cycling sounds all the way to the highest audible tone, and these sounds were rich and deep and periodic and chaotic, all at the same time, impossible to describe. I came to believe that this was the sound that my brain makes when it is thinking. This is the sound of thought.

[…]

Ketamine marked for me the final shattering of the last vestiges of the naïve illusion that what we are seeing in experience is the world itself. After you have lived through as many free-wheeling hallucinations as I have, you realize that your mind is first and foremost, a magnificent three-dimensional holographic image projection mechanism, capable of rendering some truly awesome experienced scenes, with incredible capacities for generating texture, patterns, shapes, transparency, color, light and shadow, multiple illumination, radiance or self-illuminance, mirror reflections, and refraction as through water or glass. Our visual mind works like a modern ray-tracing algorithm that creates synthetic scenes using fractal algorithms complete with illumination and shadow, except it is capable of generating the most complex scenes in a fraction of a second, and hundreds of these images per second! Once you have seen how vivid and clear and complex a world your mind is capable of fabricating in an instant of time, you must acknowledge both a deep appreciation for the outstanding capacity of the brain to pull off that stunt, and at the same time, a deep awe at the thought of the real world itself, beyond our experience, of which the world of experience is no more than a cartoon caricature over-simplification.



It is worth complementing Lehar’s report with the findings of another lucid psychonaut, James L. Kent of Psychedelic Information Theory. He also identifies the “psychedelic + dissociative” combination as an area of special interest for studying hallucinations. That said, he also points out that if one takes this combo in conjunction with an acetylcholine promoter of some sort the experience can easily become overwhelming and uncontrollable (crossing the boundary between fun and free-wheeling to unpleasantly chaotic and out of control; cf. criticality):

The ACh promotion of dreaming and REM has been demonstrated in animal research, but only subjectively reported and presumed in humans. Subjective reports of combining both the dissociative ketamine and the psychedelic LSD with pre-doses of galantamine and choline (both acetylcholine promoters) indicates that ACh promoters facilitate emotionally intense eidetic hallucinations, sometimes uncomfortable or unpleasant in nature, emerging beyond the subject’s capacity to control. This demonstrates that the production of eidetic imagery in response to ACh modulation is a spontaneous and automatic function of memory consolidation that cannot be easily controlled by the will or intent of the subject. The spontaneous production of salient eidetic memory makes psychedelics a useful tool in psychotherapy, but the uncontrollable flood of eidetic imagery may not always be pleasant for the subject. States of intense eidetic hallucination may be associated with memory regression, imprinting, reconsolidation, and neuroplasticity.

Psychedelic Information Theory: Shamanism in the Age of Reason (pg. 94)


As they say in my hometown: It’s all fun and games until someone becomes a globular cluster of arborized realities. Don’t overdo the acetylcholine.

Psychedelic Turk: A Platform for People on Altered States of Consciousness

An interesting variable is how much external noise is optimal for peak processing. Some, like Kafka, insisted that “I need solitude for my writing; not ‘like a hermit’ – that wouldn’t be enough – but like a dead man.” Others, like von Neumann, insisted on noisy settings: von Neumann would usually work with the TV on in the background, and when his wife moved his office to a secluded room on the third floor, he reportedly stormed downstairs and demanded “What are you trying to do, keep me away from what’s going on?” Apparently, some brains can function with (and even require!) high amounts of sensory entropy, whereas others need essentially zero. One might look for different metastable thresholds and/or convergent cybernetic targets in this case.

– Mike Johnson, A future for neuroscience

My drunk or high Tweets are my best work.

– Joe Rogan, Vlog#18

Introduction

Mechanical Turk is a service that makes outsourcing simple tasks to a large number of people extremely easy. The only constraint is that the tasks outsourced ought to be the sort of thing that can be explained and performed within a browser in less than 10 minutes, which in practice is not a strong constraint for most tasks you would outsource anyway. This service is in fact a remarkably effective way to accelerate the testing of digital prototypes at a reasonable price.

I think the core idea has incredible potential in the field of interest we explore in this blog. Namely, consciousness research and the creation of consciousness technologies. Mechanical Turk is already widely used in psychology, but its usefulness could be improved further. Here is an example: Imagine an extension to Mechanical Turk in which one could choose to have the tasks completed (or attempted) by people in non-ordinary states of consciousness.

Demographic Breakdown

With Mechanical Turk you can already ask for people who belong to specific demographic categories to do your task. For example, some academics are interested in the livelihoods of people within certain ages, NLP researchers might need native speakers of a particular language, and people who want to proof-read a text may request users who have completed an undergraduate degree. The demographic categories are helpful but also coarse. In practice they tend to be used as noisy proxies for more subtle attributes. If we could multiply the categories, which ones would give the highest bang for the buck? I suspect there is a lot of interesting information to be gained from adding categories like personality, cognitive organization, and emotional temperament. What else?

States of Consciousness as Points of View

One thing to consider is that the value of a service like Mechanical Turk comes in part from the range of “points of view” that the participants bring. After all, ensemble models that incorporate diverse types of modeling approaches and datasets usually dominate in real-world machine learning competitions (e.g. Kaggle). Analogously, for a number of applications, getting feedback from someone who thinks differently than everyone already consulted is much more valuable than consulting hundreds of people similar to those already queried. Human minds, insofar as they are prediction machines, can be used as diverse models. A wide range of points of view expands the perspectives used to draw inferences, and in many real-world conditions this will be beneficial for the accuracy of an aggregated prediction. So what would a radical approach to multiplying such “points of view” entail? Arguably a very efficient way of doing so would involve people who inhabit extraordinarily different states of consciousness outside the “typical everyday” mode of being.

Jokingly, I’d very much like to see the “wisdom of the crowds enhanced with psychedelic points of view” expressed in mainstream media. I can imagine an anchorwoman on CNN saying: “according to recent polls 30% of people agree that X, now let’s break this down by state of consciousness… let’s see what the people on acid have to say… ” I would personally be very curious to hear how “the people on acid” are thinking about certain issues relative to e.g. a breakdown of points of view by political affiliation. Leaving jokes aside, why would this be a good idea? Why would anyone actually build this?

I posit that a “Mechanical Turk for People on Psychedelics” would benefit the requesters, the workers, and outsiders. Let’s start with the top three benefits for requesters: better art and marketing, enhanced problem solving, and accelerating the science of consciousness. For workers, the top reason would be making work more interesting, stimulating, and enjoyable. And from the point of view of outsiders, we could anticipate some positive externalities such as improved foundational science, accelerated commercial technology development, and better prediction markets. Let’s dive in:

Benefits to Requesters

Art and Marketing

A reason why a service like this might succeed commercially comes from the importance of understanding one’s audience in art and marketing. For example, if one is developing a product targeted to people who have a hangover (e.g. “hangover remedies”), one’s best bet would be to see how people who actually are hungover resonate with the message. Asking people who are drunk, high on weed, on empathogenic states, on psychedelics, specific psychiatric medications, etc. could certainly find its use in marketing research for sports, comedy, music shows, etc.

Basically, when the product is consumed in the sort of events in which people frequently avoid being sober for the occasion, doing market research on the same people sober might produce misleading results. What percent of concert-goers are sober the entire night? Or people watching the World Cup final? Clearly, a Mechanical Turk service with diverse states of consciousness has the potential to improve marketing epistemology.

On the art side, people who might want to be the next Alex Grey or Android Jones would benefit from prototyping new visual styles on crowds of people who are on psychedelics (i.e. the main consumers of such artistic styles).

As an aside, I would like to point out that in my opinion, artists who create audio or images that are expected to be consumed by people in altered states of consciousness have some degree of responsibility in ensuring that they are not particularly upsetting to people in such states. Indeed, some relatively innocent sounds and images might cause a lot of anxiety or trigger negative states in people on psychedelics due to the way they are processed in such states. With a Mechanical Turk for psychedelics, artists could reduce the risk of upsetting festival/concert goers who partake in psychedelic perception by screening out offending stimuli.

Problem Solving

On a more exciting note, there are a number of indications that states of consciousness as alien as those induced by major psychedelics are at times computationally suited to solve information processing tasks in competitive ways. Here are two concrete examples: First, in the sixties there was some amount of research performed on psychedelics for problem solving. A notorious example would be the 1966 study conducted by Willis Harman & James Fadiman in which mescaline was used to aid scientists, engineers, and designers in solving concrete technical problems with very positive outcomes. And second, in How to Secretly Communicate with People on LSD we delved into ways that messages could be encoded in audio-visual stimuli in such a way that only people high on psychedelics could decode them. We called this type of information concealment Psychedelic Cryptography:

These examples are just proofs of concept that there probably are a multitude of tasks for which minds under various degrees of psychedelic alteration outperform those minds in sober states. In turn, it may end up being profitable to recruit people on such states to complete your tasks when they are genuinely better at them than the sober competition. How to know when to use which state of consciousness? The system could include an algorithm that samples people from various states of consciousness to identify the most promising states to solve your particular problem and then assign the bulk of the task to them.

All of this said, the application I find the most exciting is…

Accelerating the Science of Consciousness

The psychedelic renaissance is finally getting into the territory of performance enhancement in altered states. For example, there is an ongoing study that evaluates how microdosing impacts how one plays Go, and another one that uses a self-blinding protocol to assess how microdosing influences cognitive abilities and general wellbeing.

A whole lot of information about psychedelic states can be gained by doing browser experiments with people high on them. From sensory-focused studies such as visual psychophysics and auditory hedonics to experiments involving higher-order cognition and creativity, internet-based studies of people on altered states can shed a lot of light on how the mind works. I, for one, would love to estimate the base-rate of various wallpaper symmetry groups in psychedelic visuals (cf. Algorithmic Reduction of Psychedelic States), and to study the way psychedelic states influence the pleasantness of sound. There may be no need to spend hundreds of thousands of dollars in experiments that study those questions when the cost of asking people who are on psychedelics to do tasks can be amortized by having them participate in hundreds of studies on e.g. a single LSD session.

Quantifying Bliss (36)

17 wallpaper symmetry groups

This kind of research platform would also shed light on how experiences of mental illness compare with altered states of consciousness and allow us to place the effects of common psychiatric medications on a common “map of mental states”. Let me explain. While recreational materials tend to produce the largest changes to people’s conscious experience, it should go without saying that a whole lot of psychiatric medications have unusual effects on one’s state of consciousness. For example: Most people have a hard time pin-pointing the effect of beta blockers on their experience, but it is undeniable that such compounds influence brain activity and there are suggestions that they may have long-term mood effects. Many people do report specific changes to their experience related to beta blockers, and experienced psychonauts can often compare their effects to other drugs that they may use as benchmarks. By conducting psychophysical experiments on people who are taking various major psychoactives, one would get an objective benchmark for how the mind is altered along a wide range of dimensions by each of these substances. In turn, this generalized Mechanical Turk would enable us to pin-point where much more subtle drugs fall along on this space (cf. State-Space of Drug Effects).

In other words, this platform may be revolutionary when it comes to data collection and bench-marking for psychiatric drugs in general. That said, since these compounds are more often than not used daily for several months rather than briefly or as needed, it would be hard to see how the same individual performs a certain task while on and off the medicine. This could be addressed by implementing a system allowing requesters to ask users for follow up experiments if/when the user changes his or her drug regimen.

Benefit to Users

As claimed earlier on, we believe that this type of platform would make work more enjoyable, stimulating, and interesting for many users. Indeed, there does seem to be a general trend of people wanting to contribute to science and culture by sharing their experiences in non-ordinary states of consciousness. For instance, the wonderful artists at r/replications try to make accurate depiction of various unusual states of consciousness for free. There is even an initiative to document the subjective effects of various compounds by grounding trip reports on a subjective effects index. The point being that if people are willing to share their experience and time on psychedelic states of consciousness for free, chances are that they will not complain if they can also earn money with this unusual hobby.

698okoc

LSD replication (source: r/replications)

We also know from many artists and scientists that normal everyday states of consciousness are not always the best for particular tasks. By expanding the range of states of consciousness with economic advantages, we would be allowing people to perform at their best. You may not be allowed to conduct your job while high at your workplace even if you perform it better that way. But with this kind of platform, you would have the freedom to choose the state of consciousness that optimizes your performance and be paid in kind.

Possible Downsides

It is worth mentioning that there would be challenges and negative aspects too. In general, we can probably all agree that it would suck to have to endure advertisement targeted to your particular state of consciousness. If there is a way to prevent this from happening I would love to hear it. Unfortunately, I assume that marketing will sooner or later catch on to this modus operandi, and that a Mechanical Turk for people on altered states would be used for advertisement before anything else. Making better targeted ads, it turns out, is a commercially viable way of bootstrapping all sorts of novel systems. But better advertisement indeed puts us at higher risk of being taken over by pure replicators in the broader scope, so it is worth being cautious with this application.

In the worst case scenario, we discover that very negative states of consciousness dominate other states in the arena of computational efficiency. In this scenario, the abilities useful to survive in the mental economy of the future happen to be those that employ suffering in one way or another. In that case, the evolutionary incentive gradients would lead to terrible places. For example, future minds might end up employing massive amounts of suffering to “run our servers”, so to speak. Plus, these minds would have no choice because if they don’t then they would be taken over by other minds that do, i.e. this is a race to the bottom. Scenarios like this have been considered before (1, 2, 3), and we should not ignore their warning signs.

Of course this can only happen if there are indeed computational benefits to using consciousness for information processing tasks to begin with. At Qualia Computing we generally assume that the unity of consciousness confers unique computational benefits. Hence, I would expect any outright computational use of states of consciousness is likely to involve a lot of phenomenal binding. Hence, at the evolutionary limit, conscious super-computers would probably be super-sentient. That said, the optimal hedonic tone of the minds with the highest computational efficiency is less certain. This complex matter will be dealt with elsewhere.

Concluding Discussion

Reverse Engineering Systems

A lot of people would probably agree that a video of Elon Musk high on THC may have substantially higher value than many videos of him sober. A lot of this value comes from the information gained about him by having a completely new point of view (or projection) of his mind. Reverse-engineering systems involves doing things to them to change the way they operate in order to try to reconstruct how they are put together. The same is true for the mind and the computational benefits of consciousness more broadly.

The Cost of a State of Consciousness

Another important consideration would be cost assignment for different states of consciousness. I imagine that the going rates for participants on various states would highly depend on the kind of application and profitability of these states. The price would reach a stable point that balances the usability of a state of consciousness for various tasks (demand) and its overall supply.

For problem solving in some specialized applications, for example, I could imagine “mathematician on DMT” to be a high-end sort of state of consciousness priced very highly. For example, foundational consciousness research and phenomenological studies might find such participants to be extremely valuable, as they might be helpful analyzing novel mathematical ideas and using their mathematical expertise to describe the structure of such experiences (cf. Hyperbolic Geometry of DMT Experiences).

Unfortunately, if the demand for high-end rational psychonauts never truly picks up, one might expect that people who could become professional rational psychonauts will instead work for Google or Facebook or some other high-paying company. More so, due to Lemon Markets people who do insist on hiring rational psychonauts will most likely be disappointed. Sasha Shulgin and his successors will probably only participate in such markets if the rewards are high enough to justify using their precious time on novel alien states of consciousness to do your experiment rather than theirs.

In the ideal case this type of platform might function as a spring-board to generate a critical mass of active rational psychonauts who could do each other’s experiments and replicate the results of underground researchers.

Quality Metrics

Accurately matching the task with the state of consciousness would be critical. For example, you might not necessarily want someone who is high on a large dose of acid to take a look at your tax returns*. Perhaps for mundane tasks one would want people who are on states of optimal arousal (e.g. modafinil). As mentioned earlier, a system that identifies the most promising states of consciousness for your task would be a key feature of the platform.

If we draw inspiration from the original service, we could try to make an analogous system to “Mechanical Turk Masters“. Here the service charges a higher price for requesting people who have been vetted as workers who produce high quality output. To be a Master one needs to have a high task-approval rating and have completed an absurd number of them. Perhaps top score boards and public requester prices for best work would go a long way in keeping the quality of psychedelic workers at a high level.

In practice, given the population base of people who would use this service, I would predict that to a large extent the most successful tasks in terms of engagement from the user-base will be those that have nerd-sniping qualities.** That is, make tasks that are especially fun to complete on psychedelics (and other altered states) and you would most likely get a lot of high quality work. In turn, this platform would generate the best outcomes when the tasks submitted are both fun and useful (hence benefiting both workers and requesters alike).

Keeping Consciousness Useful

Finally, we think that this kind of platform would have a lot of long-term positive externalities. In particular, making a wider range of states of consciousness economically useful goes in the general direction of keeping consciousness relevant in the future. In the absence of selection pressures that make consciousness economically useful (and hence useful to stay alive and reproduce), we can anticipate a possible drift from consciousness being somewhat in control (for now) to a point where only pure replicators matter.


Bonus content

If you are concerned with social power in a post-apocalyptic landscape, it is important that you figure out a way to induce psychedelic experiences in such a way that they cannot easily be used as weapons. E.g. it would be key to only have physiologically safe (e.g. not MDMA) and low-potency (e.g. not LSD) materials in a Mad Max scenario. For the love of God, please avoid stockpiling compounds that are both potent and physiologically dangerous (e.g. NBOMes) in your nuclear bunker! Perhaps high-potency materials could still work out if they are blended in hard-to-separate ways with fillers, but why risk it? I assume that becoming a cult leader would not be very hard if one were the only person who can procure reliable mystical experiences for people living in most post-apocalyptic scenarios. For best results make sure that the cause of the post-apocalyptic state of the world is a mystery to its inhabitants, such as in the documentary Gurren Lagann, and the historical monographs written by Philip K. Dick.


*With notable exceptions. For example, some regular cannabis users do seem to concentrate better while on manageable amounts of THC, and if the best tax attorney in your vicinity willing to do your taxes is in this predicament, I’d suggest you don’t worry too much about her highness.

**If I were a philosopher of science I would try to contribute a theory for scientific development based on nerd-sniping. Basically, how science develops is by the dynamic way in which scientists at all points are following the nerd-sniping gradient. Scientists are typically people who have their curiosity lever all the way to the top. It’s not so much that they choose their topics strategically or at random. It’s not so much a decision as it is a compulsion. Hence, the sociological implementation of science involves a collective gradient ascent towards whatever is nerd-sniping given the current knowledge. In turn, the generated knowledge from the intense focus on some area modifies what is known and changes the nerd-sniping landscape, and science moves on to other topics.

Estimated Cost of the DMT Machine Elves Prime Factorization Experiment

“Okay,” I said. “Fine. Let me tell you where I’m coming from. I was reading Scott McGreal’s blog, which has some good articles about so-called DMT entities, and mentions how they seem so real that users of the drug insist they’ve made contact with actual superhuman beings and not just psychedelic hallucinations. You know, the usual Terence McKenna stuff. But in one of them he mentions a paper by Marko Rodriguez called A Methodology For Studying Various Interpretations of the N,N-dimethyltryptamine-Induced Alternate Reality, which suggested among other things that you could prove DMT entities were real by taking the drug and then asking the entities you meet to factor large numbers which you were sure you couldn’t factor yourself. So to that end, could you do me a big favor and tell me the factors of 1,522,605,027, 922,533,360, 535,618,378, 132,637,429, 718,068,114, 961,380,688, 657,908,494, 580,122,963, 258,952,897, 654,000,350, 692,006,139?

Universal Love, Said the Cactus Person, by Scott Alexander

In the comments…

gwern says:
I was a little curious about how such a prime experiment would go and how much it would cost. It looks like one could probably run an experiment with a somewhat OK chance at success for under $1k.
We need to estimate the costs and probabilities of memorizing a suitable composite number, buying DMT, using DMT and getting the requisite machine-elf experience (far from guaranteed), being able to execute a preplanned action like asking about a prime, and remembering the answer.

1. The smallest RSA number not yet factored is 220 digits. The RSA numbers themselves are useless for this experiment because if one did get the right factors, because it’s so extraordinarily unlikely for machine-elves to really be an independent reality, a positive result would only prove that someone had stolen the RSA answers or hacked a computer or something along the lines. RSA-768 was factored in 2009 using ~2000 CPU-years, so we need a number much larger; since Google has several million CPUs we might want something substantially larger, at least 800 digits. We know from mnemonists that numbers that large can be routinely memorized, and an 800 digit decimal can be memorized in an hour. Chao Lu memorized 67k digits of Pi in 1 year. So the actual memorization time is not significant. How much training does it take to memorize 800 digits? I remember a famous example in WM research of how WM training does not necessarily transfer to anything, of a student taught to memorize digits, Ericsson & Chase’s whose digit span went from ~7 to ~80 after 230 hours of training; digit span is much more demanding than a one-off memorization. This does something similar using more like 80 hours of training. Foer’s _Moonwalking With Einstein: The Art and Science of Remembering Everything_ doesn’t cover much more than a year or two and fairly undemanding training regimen, and he performed well. So I’m going to guess that to memorize a number which would be truly impressive evidence (and not simply evidence for a prank or misdeeds by a hobbyist, RSA employee, Google, or the NSA) would require ~30h of practice.
2. some browsing of the DMT category on the current leading black-market suggests that 1g of DMT from a reputable seller costs ฿0.56 or ~$130. The linked paper says smoking DMT for a full trip requires 50mg/0.05g so our $130 buys ~19 doses.
3. The linked paper says that 20% of Strassman’s injected-DMT trips give a machine-elf experience; hence the 1g will give an average of ~3-4 machine-elfs and 19 trips almost guarantees at least 1 machine-elf assuming 20% success-rate (1-(1-0.2)^19 = 98%). Since the 20% figure comes from injected DMT and DMT of a controlled high quality, probably this is optimistic for anyone trying out smoking DMT at home, but let’s roll with it.
4. in a machine-elf experience, how often could we be lucid enough to wake up and ask the factoring question? No one’s mentioned trying so there’s no hard data, but we can borrow from a similar set of experiments in verifying altered states of consciousness, Laberge’s lucid dreaming experiments in which subjects had to exert control to wiggle their eyes in a fixed pattern. This study gives several flows from # of nights to # of verifications, which all are roughly 1/3 – 1/4; so given our estimated 3-4 machine-elfs, we might be able to ask 1 time. If the machine-elves are guaranteed to reply correctly, then that’s all we need.
5. at 30 hours of mnemonic labor valued at minimum wage of $8 and $130 for 19 doses, that gives us an estimate of $370 in costs to ask an average of once; if we amortize the memorization costs some more by buying 2g, then we instead spend $250 per factoring request for 2 tries; and so on down to a minimum cost of (130/19)*5 = $34 per factoring request. To get n=10 requests, we’d need to spend a cool ((30*8) + 10*130)=$1540.
6. power analysis for a question like this is tricky, since we only need one response with the *right* factors; probably what will happen is that the machine-elfs will not answer or any answer will be ‘forgotten’. You can estimate other stuff like how likely the elves are to respond given 10 questions and 0 responses (flat prior’s 95% CI: 0-28%), or apply decision-theory to decide when to stop trying (tricky, since any reasonable estimate of the probability of machine-elves will tell you that at $35 a shot, you shouldn’t be trying at all).

Hence, you could get a few attempts at somewhere under $1k, but exactly how much depends sensitively on what fraction of trips you get elves and how often you manage to ask them; the DMT itself doesn’t cost *that* much per dose (like ~$7) but it’s the all the trips where you don’t get elves or you get elves but are too ecstatic to ask them anything which really kill you and drive up the price to $34-$250 per factoring request. Also, there’s a lot of uncertainty in all these estimates (who knows how much any of the quoted rates differ from person to person?).

I thought this might be a fun self-experiment to do, but looking at the numbers and the cost, it seems pretty discouraging.


Related Empirical Paradigms for Psychedelic Research:

  1. LSD and Quantum Measurement (an experiment that was designed, coded up, and conducted to evaluate whether one can experience multiple Everett branches at once while on LSD).
  2. How to Secretly Communicate with People on LSD (a method called Psychedelic Cryptography which uses the slower qualia decay factor induced by psychedelics, aka. “tracers”, in order to encode information in gifs that you can only decode if you are sufficiently high on a psychedelic).
  3. Psychophysics for Psychedelic Research: Textures (an experimental method developed by Benjamin Bala based on the textural mongrel paradigm proposed by Eero Simoncelli and extended to provide insights into psychedelic visual perception. See: analysis).

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…

Marijuana-induced “Short-term Memory Tracers”

[On the subjective effects of marijuana]: It’s one thing to describe it verbally and another thing to experience it yourself. I had this dissociated feeling that was really intense. I had memory tracers. So it wasn’t like, you know, people on LSD or stuff will talk about how “your hand is tracing over and over again” and it was almost like that with my memory. My short term memory was repeating over and over again. So it’d be things like getting in a car, and getting in the car over and over again, putting on a seat belt over and over and over again, and it was like short term memory tracers. And it was overall extremely intense. Had an altered perception of space. You know… distance. That’s something I [also] got on mushrooms, which I talked about in a previous video, but it’s like you see something far away and you don’t really know if it’s really far away, or if it is just really small. So if you see a car that’s like 50 feet away, you don’t know if it is 50 feet away or if it is just a matchbox car that’s really close to you. So it kind of had that; it altered the way I saw space. And, to be honest, I freaked the fuck out, because this isn’t what I thought marijuana was supposed to be. I thought it was a sedative. I thought it made you relaxed. I didn’t know it tripped you the fuck out. So, uh, my response was: I thought I was dying. I remember being in the backseat of the car and saying “is this normal?” And the guy in the front seat– he was this Indian dude, his name was Deepak– I swear to God it was like, uh, my Kumar, and he turns back and and was like “Are you tripping, man? Are you feeling it, man?” and that just made me even more fucked up in the head. Because he was saying it in his Indian accent, and I was like “What’s going on? What’s going on?”, and I thought I had to go to the hospital. Uh, let’s fast-forward in the experience, so about one hour later, or 30 minutes later, I don’t really know, it started to turn more in what I expected it to be. Which was this sedative, I started feeling more relaxed, like the trip started subsiding, and I was left with this trip afterglow of relaxation, feeling giggly, feeling really hungry, and you know kind of like the standard marijuana high. And this happened every time I smoked marijuana in the beginning. I was uncomfortable for the first 30 minutes to an hour. I learned to kind of enjoy it, but for the most part I was waiting it out. And then I’d get relaxed and chill. And I wouldn’t really call it paranoia, it was really just tripping so hard I was kind of like “wow, like, I’m really fucking tripping, I hope I don’t act weird in front of a bunch of people” Maybe that is paranoia, I don’t know.

 

[…10 more minutes talking about marijuana…]

 

And I don’t know why the fuck marijuana is still illegal in 2017. I feel like I a fucking pilgrim. Like, seriously? A war veteran can go and almost die for his country. He could come back, and drink alcohol, buy an assault riffle, and get prescribed speed, but smoke a joint? Nah, you are a fucking criminal! I mean, that doesn’t make any fucking sense. I’ve been doing this push, that I said that if by January 2018 Marijuana wasn’t legal I’d shave my hair. I’m not gonna shave my head. I am gonna cut all of my hair off, and I’m really sad about that. Usually when I cut my hair off I send it to Korea at a random address because I just like to say “my hair is in Korea”. And I’m sure whoever opens it is like “why the fuck am I getting this?” But this time I’m gonna throw it up into eBay just because I want to see if anybody bids on it. I’m gonna do it 99 cents free shipping. But yeah, getting my hair cut is simply really weird: when I get to the stylist and say “can you put this on a bag? I’m gonna sell this.” Uh, but yeah, that really is it for Marijuana as far as my overall experience with the substance.

– What’s smoking marijuana like? The positive and negative effects of smoking cannabis and dabs by Youtube addiction recovery coach Cg Kid

From Point-of-View Fragmentation to Global Visual Coherence: Harmony, Symmetry, and Resonance on LSD

Excerpt from The Grand Illusion: A Psychonautical Odyssey Into the Depths of Human Experience by the cognitive scientist Steven Lehar (2010; pages 23-40).

Trip to Europe

I had two or three such experiences on my new batch of LSD, taking perhaps 2 or 3 “hits” (tabs) each time (presumed to be about [100] micrograms, or “mikes” per tab). And each time the experience became somewhat more familiar, and I learned to think more clearly under its influence. In July 1990 I took a trip to Europe with Tim, a colleague from work, because we were both presenting posters at a neural network conference in Paris, and the company where we worked very kindly funded the travel expenses. Tim and I took this opportunity to plan a little excursion around Europe after the conference, visiting Germany, Austria, Italy, and Switzerland touring in a rented car. When we got to Austria we bought a little tent at a camping store, then we hiked up an enormous mountain in the Alps, and spent the day sightseeing at the top. When I told Tim that I happened to have some LSD with me, his eyes lit up. It turns out he too had been a hippy in his youth, and had even attended the original Woodstock, so he immediately warmed to the idea of taking LSD with me on a mountain top, although he had not done psychedelic drugs in over a decade. So there in the most stupendous and idyllic setting of a mountain in the Austrian alps, early the next morning after camping overnight, we consumed five hits of LSD each, and spent the day in profound wonder at the glory of creation!

I made a few new and interesting discoveries on that mountain top in Austria. First of all, I learned to have a great deal more control of the experience in the following manner. I discovered that the effects of LSD become markedly stronger and more pronounced when you sit still and stare, and clear your mind, much like a state of zen meditation, or pre-hypnotic relaxation. When you do this under LSD, the visual world begins to break up and fragment in a most astonishing way. You tend to lose all sense of self, that is, you lose the distinction between self and non-self. This can be a very alarming experience for those who are prone to panic or anxiety, or for those who insist on maintaining a level of control and awareness of themselves and the world around them. But I also discovered that this mental dissociation and visual confusion can be diminished, and normal consciousness can be largely restored by simply looking around, moving about, and interacting actively with the world around you. Because when you do this, suddenly the world appears as a solid and stable structure again, and your familiar body reappears where it belongs at the center of your world of experience. This discovery greatly enhanced my ability to explore the deeper spaces of consciousness revealed by the drug, while providing an insurance against the natural panic that tends to arise with the dissolusion of the self, and the world around you. It allowed me to descend into the depths of the experience while maintaining a life line back to consensual reality, like a spelunker descending into the bowels of the deep underground cavern of my mind, while always able to return safely to the surface. And what a splendid and magnificent cavern it was that I discovered within my mind!

One of the most prominent aspects of consciousness that has puzzled philosophers and psychologists for centuries is the unity of conscious experience. We feel that we live in a world that surrounds our body, and that world appears as a single “picture” or volumetric spatial structure, like a theatre set, every piece of which takes its proper place in the panorama of surrounding experience. It has always been somewhat difficult to grasp this notion of conscious unity, because it is difficult to even conceptualize the alternative. What would consciousness be like if it were not unified? What does that even mean? Under LSD you can discover what non-unified consciousness is like for yourself, and that in turn by contrast offers profound insights as to the nature and meaning of unified consciousness. Again, the most interesting revelations of the psychedelic experience are not confined to that experience itself, but they reveal insights into the nature of normal conscious experience that might otherwise be missed due to its familiarity. In fact, I realized much later, even normal consciousness has aspects which are not unified.

The most familiar example of non-unified consciousness is seen in binocular vision. Under normal conditions the two eyes view the same scene and produce a three-dimensional “picture” in the mind that is a unified construction based on the information from both eyes simultaneously. But everyone knows the experience of double vision. For those with greater control over their own visual function, double vision is easily achieved by simply staring into space and relaxing the eyes. As a vision scientist myself, I have trained myself to do this so as to be able to “free fuse” a binocular pair of left-eye, right-eye images to create the perception of a 3D scene. For those who have difficulty with this, a similar experience can be had by holding a small mirror at an angle close in front of one eye, so as to send very different images into the two eyes. Whichever way you do it, the result is rather unremarkable in its familiarity, and yet when you think of it, this is in fact an example of disunity of conscious experience that is familiar to one and all. For what you see in double vision is actually two visual experiences which are seen as if they are superimposed in some manner, and yet at the same time they are also experienced each in its own separate disconnected space. It is generally possible to observe the correspondence between these two disconnected visual experiences, for example to determine which point in one eye view relates to a particular point in the other, as if viewing two slide transparencies that are overlaid on top of one another, although this correspondence is shifting and unstable, as the vergence between your two eyes tends to wander when binocular fusion is broken. But in fact it is more natural to simply ignore that correspondence and to view the two visual experiences as separate and disconnected spaces that bear no significant spatial relation to each other. When the images in our two eyes do not correspond, we tend to focus on one while ignoring the other, like an experienced marksman who no longer has to close his idle eye while aiming a gun. And yet, although the image from the idle eye is generally ignored, it has not left consciousness entirely, and with an effort, or perhaps more accurately, with an absence of effort or focus, it is possible to experience both views simultaneously.

In the trance-like state of yoga-like meditation performed under LSD, the entire visual world breaks up and fragments in this manner into a multitude of disconnected parallel conscious experiences, each one only loosly related spatially to the other experiences in the visual field. The effect is much enhanced by the fact that your eyes actually diverge or relax in this mental state, as they do under binocular fission, and this helps trigger the state of visual confusion as your mind gives up on trying to make sense of what it is seeing. As in Zen meditation, the LSD trance state is a passive or receptive state of consciousness that allots equal attention, or perhaps lack of attention, to all components of experience, which is why they appear in parallel as separate disconnected pieces. The state of normal active consciousness resists this kind of parallel confusion, and tends to select and focus on the the most significant portion, like the marksman aiming a gun, suppressing alternative experiences such as the view from the idle eye.

The deep LSD-induced trance state can be easily broken by simply moving the eyes, so conversely, the deeper states are achieved by complete mental and physical relaxation, with glazed eyes staring blankly into space. But of all the separate fragments of visual experience observed in this mental state, there is one special fragment located at the very center of the visual field, the foveal center, that appears somewhat sharper and clearer than the rest of the visual field. In fact, the visual fragmentation is somewhat like a kind of tunnel vision in which the peripheral portions of the visual field break off and disconnect from this central portion of the experience. But while the peripheral fragments become separated from the whole, they are never entirely and completely independent, but appear to interact with each other, and especially with the central foveal image in characteristic ways. For example if the foveal image shows a couple of blades of grass, twitching and dancing in the wind, then if any of the peripheral fragments of visual experience happen to show a similar image, i.e. blades of grass at a similar angle and twitching and dancing in synchrony with those in the foveal view, then the central and peripheral images become instantly coupled into a larger unified perceptual experience of a global motion sweeping through the image. Instead of a million blades of grass each twitching individually, we perceive the invisible wind as a wave of synchronous motion that sweeps invisibly across the blades of grass. The waves of motion caused by the wind are perceived as waves of energy across the visual field, a perceptual experience of something larger than the individual grass blades that collectively give rise to it. By careful adjustment of my state of relaxation, I found I could relax until the visual world fragmented into a million independent experiences, and I could gently bring it back into focus, as first a few, and then ever more of the fragmented visual experiences coupled together into fewer separate, and eventually a single unified global experience, much like the moment of binocular fusion when the two monocular images finally lock into each other to produce a single binocular experience.

When the visual world was locked into a unified perceptual experience, even then there were instabilities in local portions of the scene. A little detail seen in distant trees appears first as a mounted horseman, then pops abruptly into a hand with three fingers extended, then to a duck on a branch, then back to the mounted horseman, all the while the actual shape and color perceived remain unchanged, it is only the interpretation, or visual understanding of that pattern that switches constantly, as when a child sees mountains and castles in the clouds. One of the many possible interpretations is of a dead tree with leafless branches, (the veridical percept of what was actually there) and that is the only alternative that enters consciouseness under normal circumstances. The effect of LSD is to make the visual system more tolerant of obvious contradictions in the scene, such as a giant horseman frozen in a line of trees. The effect is like those surrealistic Dali paintings, for example the Three Ages of Man, shown in Figure 2.1, where one sees a single coherent scene, local parts of which spontaneously invert into some alternative interpretation. This is very significant for the nature of biological vision, for it shows that vision involves a dynamic relaxation process whose stable states represent the final perceptual interpretation.

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There was another interesting observation that I made that day. I noticed that under LSD things appear a little more regular and geometrical than they otherwise do. It is not the shape of things that is different under LSD, but rather the shape of the things we see in objects. For example a cloud is about as irregular and fragmented a shape as a shape can be, and yet we tend to see clouds in a simplified cartoon manner, as a little puff composed of simple convex curves. A real cloud under closer inspection reveals a ragged ugly appearance with very indefinite boundaries and irregular structure. Under LSD the cloud becomes even more regular than usual. I began to see parts of the cloud as regular geometrical shapes, seeing the shapes in the shapes of the cloud as if on a transparent overlay.

Another rather astonishing observation of the LSD experience was that the visual world wavered and wobbled slowly as if the visual scene was painted on an elastic canvas that would stretch over here while shrinking over there, with great waves of expansion and contraction moving slowly across the scene, as if the whole scene was “breathing”, with its component parts in constant motion relative to each other. This was perhaps the most compelling evidence that the world of experience is not the solid stable world that it portrays. Figure 2.2 shows a sketch I made shortly after my alpine mountain adventure to try to express the wavery elasticity and the visual regularity I had observed under LSD. This picture is of course an exaggeration, more of an impression than a depiction of how the experience actually appeared.

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The geometrical regularity was particularly prominent in peripheral vision, when attending to the periphery without looking to see what is there. Usually peripheral vision is hardly noticed, giving the impression of a homogeneous visual field, but under LSD the loss of resolution in peripheral vision becomes more readily apparent, especially when holding a fixed and glassy stare. And in that periphery, objects like trees or shrubs appear more regular and geometrical than they do in central vision, like artificial Christmas trees with perfectly regular spacing of brances and twigs. Again, it was not the raw image in the periphery that appeared regular or geometrical, but rather it was the invisible skeleton of visual understanding derived from that raw colored experience that exhibits the more regular features. And suddenly I could see it. This is the way the visual system encodes visual form in a compact or compressed manner, by expressing shape in terms of the next nearest regular geometrical form, or combination of forms. Children draw a tree as a circular blob of leaves on top of a straight vertical trunk, or a pine tree as a green triangle with saw-tooth sides. It is not that we see trees in those simplified forms, but rather that we see those simplified forms in the trees, and the forms that we perceive in these invisible skeletons are the expression of our understanding of the shapes we perceive those more irregular forms to have. This was later to turn into my harmonic resonance theory of the brain, as I sought an explanation for this emerging regularity in perception, but in 1990 all I saw was the periodicity and the symmetry, and I thought they were profoundly beautiful.

My friend Tim who had not done LSD for many years, responded to this sudden 5 hit dose by going into a state of complete dissociation. He lay down on the forest floor with glassy eyes, muttering “It is TOO beautiful! It is TOO beautiful!” and he did not respond to me, even when I stared him straight in the face. He reported afterwards that he found himself in a giant Gothic cathedral with the most extravagantly elaborate and brightly painted ornamental decorations all around him. This too can be seen as an extreme form of the regularization discussed above. Under the influence of this powerful dose, Tim’s visual brain could no longer keep up with the massive irregularity of the forest around him, and therefore presented the forest in simplified or abbreviated form, as the interior of a Gothic cathedral. It captures the large geometry of a ground plane that supports an array of vertical columns, each of which fans out high overhead to link up into an over-arching canopy of branches. The only difference is that in the Gothic cathedral the trees are in a regular geometrical array, and each one is a masterpiece of compound symmetry, composed of smaller pillars of different diameters in perfectly symmetrical arrangements, and studded with periodic patterns of ribs, ridges, or knobby protruberances as a kind of celebration of symmetry and periodicity for their own sake. There is a kind of geometrical logic expressed in the ornamental design. If part of the cathedral were lost or destroyed, the pattern could be easily restored by following the same logic as the rest of the design. In information-theoretic terms, the Gothic cathedral has lots of redundancy, its pattern could be expressed in a very much simpler compressed geometrical code. In Tim’s drug-addled brain his visual system could only muster a simple code to represent the world around him, and that is why Tim saw the forest as a Gothic cathedral. Under normal conditions, the additional information of irregularity, or how each tree and branch breaks from the strict regularity of the cathedral model of it, creates the irregular world of experience that we normally see around us. This suggests that the beautiful shapes of ornamental art are not the product of the highest human faculty, as is commonly supposed, but rather, ornamental art offers a window onto the workings of a simpler visual system, whose image of the world is distorted by artifacts of the representational scheme used in the brain. The Gothic cathedral gives a hint as to how the world might appear to a simpler creature, a lizard, or a snake, to whom the world appears more regular than it does to us, because its full irregularity is too expensive to encode exhaustively in all its chaotic details. Of course the flip-side of this rumination is that the world that we humans experience, even in the stone-cold sober state, is itself immeasurably simpler, more regular and geometric, that the real world itself, of which our experience is an imperfect replica. In the words of William Blake, “If the doors of perception were cleansed, everything would appear to man as it is, infinite.”

Mittersill

While I was a PhD student at Boston University, my parents owned a beautiful ski lodge house in the picturesque town of Mittersill in the mountains of New Hampshire, and on spring breaks or long week-ends I would invite my friends, the other PhD candidates, up to Mittersill where we would take long hikes up the mountain, and spend evenings by the fireplace. I introduced a small circle of my friends to the illuminating experience of LSD, in the hopes of sharing some of my perceptual discoveries with them, and perhaps inducing them to learn to use the experience to make discoveries of their own. Eventually Mittersill became associated in our minds with these group trips with an ever-shrinking circle of true diehard psychonauts, making our regular pilgrimage up the mountain in search of Truth and to touch the face of God. We always brought a goodly supply of Happy T’Baccy, which provides a beautiful complement and bemellowment to the otherwise sometimes sharp and jangly LSD experience. Our pattern was usually to arrive on a Friday night, cook up a great feast, and spend an evening by the fire, drinking beer and/or wine and passing the pipe around until everyone felt properly toasted. The talk was often about the workings of mind and brain, since we were all students of cognitive and neural systems. We were all adept computer programmers and well versed in mathematics as part of our PhD studies, so we all understood the issues of mental computation and representation, and I found the conversations about the computational principles of the mind, to be most interesting and intellectually stimulating. This was the high point of my academic career, this is why people want to be scientists. The next morning we would rise early, and after a hearty breakfast, we would all set off up the mountain, which was a steep brisk climb of two or three hours. About half way up the mountain, at a carefully pre-planned time, we would stop, and each “dose up” with our individually chosen dose of LSD for the occasion, timed to reach the peak of the experience about the time we reached the peak of the mountain. Then we would continue our climb through the rich lush mountain forests of New Hampshire to the top of Maida Vale, the sub-peak next to Canon Mountain, from whence a stupendous view opened up across to Canon Mountain and the vast valley below. We would settle ourselves comfortably at some location off the beaten track, and spend the best hours of the day just dreaming crazy thoughts and drinking in the experience

By now I had perfected my introspective techniques to the point that I could voluntarily relax my mind into a state of total disembodiment. The visual world began to fragment, first into two large pieces as binocular fusion was broken, then into a few smaller fragments, and eventually into a miriad of separate fragments of consciousness, like the miriad reflections from a shattered mirror. I was fascinated by this state of consciousness, and how different it was from normal consensual reality. Most alarming or significant was the total absence of my body from its normal place at the center of my world. As the world began to fragment, my body would fragment along with it, disconnected pieces of my body seeming to exist independently, one part here, another over there, but in separate spaces that did not exist in a distinct spatial relation to each other, but as if in different universes, like reflections from different shards of a shattered mirror. And as the visual world attained total fragmentation, all evidence of my body completely vanished, and I lived the experience of a disembodied spirit, pure raw experience, just sensations of color, form, and light. I felt safe and secure in this environment among friends, so I did not mind the total vulnerability afforded by a complete functional shutdown of my mind in this manner. Besides, I had learned that I could snap back together again to a relatively normal consciousness at will, simply by getting up and looking around, and interacting with the world. I was endlessly fascinated by the state of complete disembodiment, and one feature of it impressed itself on me again and again, the geometric regularity of it all. There was a powerful tendency for everything to reduce to ornamental patterns, geometrical arrangements of three-dimensional shapes, like so many glistening gems in a jewelry store, with rich periodic and symmetrical patterns in deep vibrant colors. The deeper I plunged into the experience, the simpler and more powerfully emotive those patterns became. And since my body had totally vanished, these patterns were no longer patterns I viewed out in the world, but rather, the patterns were me, I had become the spatial patterns which made up my experience. I began to see that symmetry and periodicity were somehow primal to experience.

I remember lying on my back and watching the clouds in the sky overhead. Weather patterns are often chaotic at the tops of mountains, and on more than one occasion we were located at a spot where the clouds that formed on the windward side of the mountain were just cresting the summit, where they would dissove in a continuous process of chaotic fragmentation, a veritable Niagra Falls of nebular dissolution, evocative of the fragmentation of my psychedelic experience. The shattered shreds of cloud, viewed from this close up, were about the most ragged and irregular shapes you could imagine, and yet under the influence of the drug I kept seeing fleeting geometrical patterns in them. There were great circular pinwheels and arabesques, patterns like those carved in the doors of Gothic cathedrals, but each flashing in and out of brief existence so quickly that it would be impossible to draw them. I began to realize that the human mind is one great symmetry engine, that the mind makes sense of the world it sees by way of the symmetries that it finds in it. Symmetry is the glue that binds the fragments of experience into coherent wholes.

Figure 2.3 shows a series of paintings by artist Louis Wain, that I find very evocative of the LSD experience. Wain suffered a progressive psychosis that manifested itself in his art, which was originally quite realistic, becomming progressively more abstract and ornamental, in the manner I observed in the various stages or levels of my LSD dissociation. Figure 2.3 A shows a fairly realistic depiction of a cat, but there are curious artifacts in the textured background, a mere hint of periodicity breaking out. I would see such artifacts everywhere, almost invisible, fleeting, and faint, reminiscent of the ornamental pinstripe patterns painted on trucks and motorcycles, a kind of eddy in the stream of visual consciousness as it flows around visual features in the scene. As I descended into the fully dissociated states, the patterns would become more like Figure 2.3 B, C, and D, breathtakingly ornate, with many levels of compound symmetry, revealing the eigenfunctions of perceptual representation, the code by which visual form is represented in the brain.

At times we would break free from our individual reveries, and share absurd nonsensical conversations about our observations. One time, looking down at the vast valley stretching out below us, a vista that seemed to stretch out to distances beyond comprehension, my old friend Peter said that it was hard to tell whether all that scenery was just “way out there”, or was it “way WAY out there?” Of course we both laughed heartily at the absurdity of his statement, but I knew exactly what he meant. When viewing such a grand vista under normal consciousness, one is deeply impressed by the vastness of the view.

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But under the influence of the drug, the vista somehow did not look quite as large as we “knew” that it really was. What Peter was saying was that for some strange reason, the world had shrunken back in on us, and that magnificently vast valley had shrunken to something like a scale model, or a diorama, where it is easy to see how vast the modeled valley is supposed to be, but the model itself appears very much smaller than the valley it attempts to portray. What Peter was observing was the same thing I had observed, and that was beginning to even become familiar, that the world of our experience is not a great open vastness of infinite space, but like the domed vault of the night sky, our experience is bounded by, and contained within, a vast but finite spherical shell, and under the influence of psychedelic drugs that shell seemed to shrink to smaller dimensions, our consciousness was closing in on its egocentric center. Many years later after giving it considerable thought, I built the diorama shown in Figure 2.4 to depict the geometry of visual experience as I observed it under LSD.

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And when I was in the completely disembodied state, my consciousness closed in even smaller and tighter, the range of my experience was all contained within a rather modest sized space, like a glass showcase in a jewelry store, and the complexity of the patterns in that space was also reduced, from the unfathomably complex and chaotic fractal forms in a typical natural scene, to a much simpler but powerfully beautiful glistening ornamental world of the degree of complexity seen in a Gothic cathedral. The profound significance of these observations dawned on me incrementally every time we had these experiences. I can recall fragmentary pieces of insights gleaned through the confusion of our passage down the mountain, stopping to sit and think wherever and whenever the spirit took us. At one point three of us stopped by a babbling brook that was crashing and burbling through the rocks down the steep mountain slope. We sat in silent contemplation at this primal “white noise” sound, when Lonce commented that if you listen, you can hear a million different sounds hidden in that noise. And sure enough when I listened, I heard laughing voices and honking car horns and shrieking crashes and jangly music and every other possible sound, all at the same time superimposed on each other in a chaotic jumbled mass. It was the auditory equivalent of what we were seeing visually, the mind was latching onto the raw sensory experience not so much to view it as it really is, but to conjure up random patterns from deep within our sensory memory and to match those images to the current sensory input. And now I could see the more general concept. We experience the world by way of these images conjured up in our minds. I came to realize why the LSD experience was enjoyed best in outdoors natural settings, and that is because the chaos of a natural scene, with its innumerable twigs and leaves and stalks, acts as a kind of “white noise” stimulus, like the babbling brook, a stimulus that contains within it every possible pattern, and that frees our mind to interpret that noise as anything it pleases.

On one occasion, on arrival back down at the lodge, our minds were still reeling, and we were not yet ready to leave the magnificence of the natural landscape for the relatively tame and controlled environment indoors, so Andy and I stopped in the woods behind the house and just stood there, like deer in the headlights, drinking in the experience. It was a particularly dark green and leafy environment in the shadow behind the house, with shrubs and leaves at every level, around our ankles, our knees, our shoulders, and all the way up to a leafy canopy high overhead, and at every depth and distance from inches away to the farthest visible depths of the deep green woods. The visual chaos was total and complete, the world already fragmented into millions and millions of apparently disconnected features and facets uniformly in all directions, that it hardly required LSD to appreciate the richness of this chaotic experience. But under LSD, and with the two of us standing stock still for many long minutes of total silence, we both descended into a mental fragmentation as crazy as the fragmented world around us. My body disappeared from my experience, and I felt like I became the forest; the forest and all its visual chaos was me, which in a very real sense it actually was. And in that eternal timeless moment, wrapped in intense but wordless thought, I recognized something very very ancient and primal in my experience. I felt like I was sharing the experience of some primal creature in an ancient swamp many millions of years ago, when nature was first forging its earliest models of mind from the tissue of brain. I saw the world with the same intense attentive concentration, bewilderment, and total absence of human cogntive understanding, as that antediluvian cretaceous lizard must have experienced long ago and far away. The beautiful geometrical and symmetrical forms that condensed spontaneously in my visual experience were like the first glimmerings of understanding emerging in a primitive visual brain. This is why I do psychedelic drugs, to connect more intimately with my animal origins, to celebrate the magnificent mental mechanisms that we inherit from the earliest animal pioneers of mind.

One time after we had descended from the mountain and were sitting around the lodge drinking and smoking in a happy state of befuddlement, a peculiar phenomenon manifested itself that made a deep impression on me. It was getting close to supper time and somebody expressed something to that effect. But our minds were so befuddled by the intoxication that we could only speak in broken sentences, as we inevitably forgot what we wanted to say just as we started saying it, instantly confused by our own initial words. So the first person must have said something like “I’m getting hungry. Do you think…” and then tailed off in confusion. But somebody else would immediately sense the direction that thought was going, and would instinctively attempt to complete the sentence with something like “…we otta go get…” before himself becoming confused, at which a third person might interject “…something to eat?” It does not sound so remarkable here in the retelling, but what erupted before our eyes was an extraordinarily fluid and coherent session of what we later referred to as group thought, where the conversation bounced easily from one person to the next, each person contributing only a fragmentary thought, but nobody having any clear idea of what the whole thought was supposed to be, or how it was going to end. What was amazing about the experience was the coherence and purposefulness of the emergent thought, how it seemed to have a mind of its own independent of our individual minds, even though of course it was nothing other than the collective action of our befuddled minds. It was fascinating to see this thought, like a disembodied spirit, pick up and move our bodies and hands in concerted action, one person getting wood for the fire, another getting out a frying pan, a third going for potatoes, or to open a bottle of wine, none of it planned by any one person, and yet each person chipped in just as and when they thought would be appropriate, as the supper apparently “made itself” using us as its willing accomplices. It was reminiscent of the operational principle behind a ouija board, where people sitting in a circle around a table, all rest an index finger on some movable pointer on a circular alphabet board, and the pointer begins to spell out some message under the collective action of all those fingers. At first the emergent message appears random, but after the first few letters have been spelled out, the participants start to guess at each next letter, and without anyone being overtly aware of it, the word appears to “spell itself” as if under the influence of a supernatural force. As with the ouija board, none of us participating in the group thought experience could hold a coherent thought in their head, and yet coherent thoughts emerged nevertheless, to the bewilderment of us all. And later I observed the same phenomenon with different LSD parties. I have subsequently encountered people well versed in the psychedelic experience who claim with great certainty to have experienced mental telepathy in the form of wordless communication and sharing of thoughts. But for us hard-nosed scientific types, the natural explanation for this apparently supernatural experience is just as wonderous and noteworthy, because it offers a hint as to how the individual parts of a mind act together in concert to produce a unified coherent pattern of behavior that is greater than the mere sum of its constituent parts. The principle of group thought occurs across our individual brains in normal sober consciousness as we instinctively read each other’s faces and follow each other’s thoughts, and it is seen also whenever people are moving a heavy piece of furniture, all lifting and moving in unison in a coherent motion towards some goal. But the psychedelic experience highlighted this aspect of wordless communication and brought it to my attention in clearer, sharper focus.

As the evening tailed on and the drug’s effect gradually subsided in a long slow steady decline, we would sit by the fire and pass a pipe or joint around, and share our observations and experiences of the day. At one point Lonce, who had just taken a puff of a joint, breathed out and held it contemplatively for a while, before taking a second puff and passing it on to the next person in the circle. I objected to this behavior, and accused Lonce of “Bogarting” the joint – smoking it all by himself without passing it along. Lonce responded to this with an explanation that where he comes from, people don’t puff and pass in haste, but every man has the right to a few moments of quiet contemplation and a second puff before passing it along. That was, he explained, the civilized way of sharing a joint. So we immediately adopted Lonce’s suggestion, and this method of sharing a joint has henceforth and forever since been referred to by us as the “Lonce Method”.

Theoretical Implications

As I have explained, the purpose of all this psychonautical exploration was not merely for our own entertainment, although entertaining it was, and to the highest degree. No, the primary purpose of these psychonautical exploits was clear all along at least in my mind, and that was to investigate the theoretical implications of these experiences to theories of mind and brain. And my investigations were actually beginning to bear fruit in two completely separate directions, each of which had profound theoretical implications. At that time I was studying neural network theories of the brain, or how the brain makes sense of the visual world. A principal focus of our investigation was the phenomena of visual illusions, like the Kanizsa figure shown in Figure 2.5 A. It is clear that what is happening here is that the visual mind is creating illusory contours that link up the fragmentary contours suggestive of the illusory triangle. In our studies we learned of Stephen Grossberg’s neural network model of this phenomenon. Grossberg proposed that the visual brain is equipped with oriented edge detector neurons that fire whenever a visual edge passes through their local receptive field. These neurons would be triggered by the stark black / white contrast edges of the stimulus in Figure 2.5 A. A higher level set of neurons would then detect the global pattern of collinearity, and sketch in the illusory contour by a process of collinear completion. These higher level “cooperative cells” were equipped with much larger elongated receptive fields, long enough to span the gap in the Kanizsa figure, and the activation of these higher level neurons in turn stimulated lower level local edge detector neurons located along the illusory contour, and that activation promoted the experience of an illusory contour where there is none in the stimulus

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I believed I was seeing these illusory contours in my LSD experience, as suggested by all the curvy lines in my sketch in Figure 2.2 above. But I was not only seeing the contours in illusory figures, I was seeing “illusory” contours just about everywhere across the visual field. But curiously, these contours were not “visible” in the usual sense, but rather, they are experienced in an “invisible” manner as something you know is there, but you cannot actually see. However I also noticed that these contours did have an influence on the visible portions of the scene. I have mentioned how under LSD the visual world tends to “breathe”, to waver and wobble like a slow-motion movie of the bottom of a swimming pool viewed through its surface waves. In fact, the effect of the “invisible” contours was very much like the effect of the invisible waves on the surface of the pool, which can also be seen only by their effects on the scene viewed through them. You cannot see the waves themselves, all you can see is the wavering of the world caused by those waves. Well I was observing a very similar phenomenon in my LSD experience. I devised a three-dimensional Kanizsa figure, shown in Figure 2.5 B, and observed that even in the stone-cold sober state, I could see a kind of warp or wobble of the visual background behind the illusory contour caused by the figure, especially if the figure is waved back and forth gently against a noisy or chaotic background. So far, my LSD experiences were consistent with our theoretical understanding of the visual process, confirming to myself by direct observation an aspect of the neural network model we were currently studying in school.

But there was one aspect of the LSD experience that had me truly baffled, and that was the fantastic symmetries and periodicities that were so characteristic of the experience. What kind of neural network model could possibly account for that? It was an issue that I grappled with for many months that stretched into years. In relation to Grossberg’s neural network, it seemed that the issue concerned the question of what happens at corners and vertices where contours meet or cross. A model based on collinearity alone would be stumped at image vertices. And yet a straightforward extension of Grossberg’s neural network theory to address image vertices leads to a combinatorial explosion.The obvious extension, initially proposed by Grossberg himself, was to posit specialized “cooperative cells” with receptive fields configured to detect and enhance other configurations of edges besides ones that are collinear. But the problem is that you would need so many different specialized cells to recognize and complete every possible type of vertex, such as T and V and X and Y vertices, where two or more edges meet at a point, and each of these vertex types would have to be replicated at every orientation, and at every location across the whole visual field! It just seemed like a brute-force solution that was totally implausible.

Then one day after agonizing for months on this issue, my LSD observations of periodic and symmetrical patterns suddenly triggered a novel inspiration. Maybe the nervous system does not require specialized hard-wired receptive fields to accomodate every type of vertex, replicated at every orientation at every spatial location. Maybe the nervous system uses something much more dynamic and adaptive and flexible. Maybe it uses circular standing waves to represent different vertex types, where the standing wave can bend and warp to match the visual input, and standing waves would explain all that symmetry and periodicity so clearly evident in the LSD experience as little rotational standing waves that emerge spontaneously at image vertices, and adapt to the configuration of those vertices. Thanks to illegal psychotropic substances, I had stumbled on a staggeringly significant new theory of the brain, a theory which, if proven right, would turn the world of neuroscience on its head! My heart raced and pounded at the implications of what I had discovered. And this theory became the prime focus of my PhD thesis (Lehar 1994), in which I did computer simulations of my harmonic resonance model that replicated certain visual illusions in a way that no other model could. I had accomplished the impossible. I had found an actual practical use and purpose for what was becoming my favorite pass-time, psychedelic drugs! It was a moment of glory for an intrepid psychonaut, a turning point in my life. Figure 2.6 shows a page from my notebook dated October 6 1992, the first mention of my new theory of harmonic resonance in the brain.

lehar_2_6.png


Compare the above descriptions of point-of-view fragmentation, visual coherence, and symmetry as experienced on LSD, with our very own account of symmetrical pattern completion during psychedelic experiences as presented in Algorithmic Reduction of Psychedelic States (slightly edited for clarity):

Lower Symmetry Detection and Propagation Thresholds

Finally, this is perhaps the most interesting and ethically salient effect of psychedelics. The first three effects (tracers, drifting, and pattern recognition) are not particularly difficult to square with standard neuroscience. This fourth effect, while not incompatible with connectionist accounts, does suggest a series of research questions that may hint at an entirely new paradigm for understanding consciousness.

We have not seen anyone in the literature specifically identify this effect in all of its generality. The lowering of the symmetry detection threshold really has to be experienced to be believed. We claim that this effect manifests in all psychedelic experiences to a greater or lesser extent, and that many effects can in fact be explained by simply applying this effect iteratively.

Psychedelics make it easier to find similarities between any two given phenomenal objects. When applied to perception, this effect can be described as a lowering of the symmetry detection threshold. This effect is extremely general and symmetry should not be taken to refer exclusively to geometric symmetry.

How symmetries manifest depends on the set and setting. Researchers interested in verifying and exploring the quantitative and subjective properties of this effect will probably have to focus first on a narrow domain; the effect happens in all experiential modalities.

For now, let us focus on the case of visual experience. In this domain, the effect is what PsychonautWiki calls Symmetrical Texture Repetition:

Quantifying Bliss (35)

Credit: Chelsea Morgan from PsychonautWiki and r/replications

Symmetry detection during psychedelic experiences requires that one’s attention interprets a given element in the scene as a symmetry element. Symmetry elements are geometrical points of reference about which symmetry operations can take place (such as axes of rotation, mirror planes, hyperplanes, etc.). In turn, a collection of symmetry elements defines a symmetry structure in the following way: A symmetry structure is a set of n-dimensional symmetry elements for which the qualities of the experience surrounding each element obeys the symmetry constraints imposed by all the elements considered together.

Psychedelic symmetry detection can be (and typically is) recursively applied to previously constructed symmetry structures. At a given time multiple independent symmetry structures can coexist inside an experience. By guiding one’s attention one can make these structures interact and ultimately merge. Formally, each symmetry structure is capable of establishing a merging relationship with another symmetry structure. This is achieved by simultaneously focusing one’s attention on both. These relationships are fleeting, but they influence the evolution of the relative position of each symmetry element. When two symmetry structures are in a merging relationship, it is possible to rearrange them (with the aid of drifting and pattern recognition) to create a symmetrical structure that incorporates the symmetry elements of both substructures at once. To do so, one’s mind can either detect one (or several) more symmetry elements along which the previously-existing symmetry elements are made to conform, or, alternatively, if the two pre-existing symmetry structures share a symmetry element (e.g. an axis of rotation of order 3), these corresponding identical symmetry elements can fuse and become a bridge that merges both structures.

Surprisingly, valence seems to be related to psychedelic symmetry detection. As one constructs symmetry structures, one becomes aware of an odd and irresistible subjective pull towards building even higher levels of symmetry. In other words, every time the structure of one’s experience is simplified by identifying a new symmetry element in the scene, one’s whole experience seems to snap into a new (simplified) mode, and this comes with a positive feeling. This feeling can take many forms: it may feel blissful, interesting, beautiful, mind-expanding, and/or awe-producing, all depending on the specific structures that one is merging. Conversely when two symmetry structures are such that merging them is either tricky of impossible, this leads to low valence: frustration, anxiety, pain and an odd feeling of being stuck between two mutually unintelligible worlds. We hypothesize that this is the result of dissonance between the incompatible symmetry structures.

If one meditates in a sensorially-minimized room during a psychedelic experience while being aware that one’s symmetry detection threshold has been lowered by the substance, one can recursively re-apply this effect to produce all kinds of complex mathematical structures that incorporate complex symmetry element interactions. In other words, with the aid of concentration one can climb the symmetry gradient (i.e. increase the total number of symmetry elements) up to the point where the degrees of freedom afforded by the symmetry structure limit any further element from being incorporated into it. We will call these experiences peak symmetry states.

Future research should explore and compare the various states of consciousness that exhibit peak symmetry. There is very likely an enormous number of peak symmetry states, some of which are fairly suboptimal and others that cannot be improved upon. If there is a very deep connection between valence, symmetry, information and harmony, it would very likely show in this area. Indeed, we hypothesize that the highest levels of valence that can be consciously experienced involve peak symmetry states. Anecdotally, this connection has already been verified, with numerous trip reports of people achieving states of unimaginable bliss by inhabiting peak symmetry states (often described as fractal mandala-like mirror rooms).

The range of peak symmetry states include fractals, tessellations, graphs, and higher dimensional projections. Which one of these states contains the highest degree of inter-connectivity? And if psychedelic symmetry is indeed related to conscious bliss, which experience of symmetry is human peak bliss?

The pictures above all illustrate possible peak symmetry states one can achieve by combining psychedelics and meditation. The pictures illustrate only the core structure of symmetries that are present in these states of consciousness. What is being reflected is the very raw “feels” of each patch of your experiential field. Thus these pictures really miss the actual raw feelings of the whole experience. They do show, however, a rough outline of symmetrical relationships possible in one of these experiences.

Since control interruption is also co-occurrent with the psychedelic symmetry effect, previously-detected symmetries tend to linger for long periods of time. For this reason, the kinds of symmetries one can detect at a given point in time is a function of the symmetries that are currently being highlighted. And thanks to drifting and pattern recognition enhancement, there is some wiggle room for your mind to re-arrange the location of the symmetries experienced. The four effects together enable, at times, a smooth iterative integration of so many symmetries that one’s consciousness becomes symmetrically interconnected to an unbelievable degree.

What may innocently start as a simple two-sided mirror symmetry can end up producing complex arrangements of self-reflecting mirrors showing glimpses of higher and higher dimensional symmetries. Studying the mathematical properties of the allowed symmetries is a research project that has only just begun. I hope one day dedicated mathematicians describe in full the class of possible high-order symmetries that humans can experience in these states of consciousness.

Anecdotally, each of the 17 possible wallpaper symmetry groups can be instantiated with this effect. In other words, psychedelic states lower the symmetry detection threshold for all of the mathematically available symmetrical tessellations.

wade_symmetry_best_blank_2

All of the 17 2-dimensional wallpaper groups can be experienced with symmetry planes detected, amplified and re-arranged during a psychedelic experience.

Revising the symmetrical texture repetition of grass shown above, we can now discover that the picture displays the wallpaper symmetry found in the lower left circle above:

grass_symmetries

In very high doses, the symmetry completion is so strong that at any point one risks confusing left and right, and thus losing grasp of one’s orientation in space and time. Depersonalization is, at times, the result of the information that is lost when there is intense symmetry completion going on. One’s self-models become symmetrical too quickly, and one finds it hard to articulate a grounded point of view.


In Preaceful Qualia: The Manhattan Project of Consciousness we explored possible information-processing applications for climbing the symmetry gradient as described above:

LSD-like states allow the global binding of otherwise incompatible schemas by softening the degree to which neighborhood constraints are enforced. The entire experience becomes a sort of chaotic superposition of locally bound islands that can, each in its own way, tell sensory-linguistic stories in parallel about the unique origin and contribution of their corresponding gestalts to the narrative of the self.

This phenomenon forces, as it were, the onset of cognitive dissonance between incompatible schemas that would otherwise evade mutual contact. On the bright side, it also allows mutual resonance between parts that agree with each other. The global inconsistencies are explored and minimized. One’s mind can become a glorious consensus.

squarespiral2

Each square represents, and carries with it, the information of a previously experienced cognitive gestalt (situational memories, ideas, convictions, etc.). Some gestalts never come up together naturally. The LSD-like state allows their side-by-side comparison.

In therapy, LSD-like states had been used for many decades in order to integrate disparate parts of one’s personality into a (more) coherent and integrated lifeworld. But scientists at the beginning didn’t know why this worked.

The Turing module then discovered that the kaleidoscopic world of acid can be compared to raising the temperature within an Ising model. If different gestalts imply a variety of semantic-affective constraints, kaleidoscopic Frame Stacking has the formal effect of expanding the region of one’s mind that is taken into consideration for global consistency at any given point in time. The local constraints become more loose, giving global constraints the upper hand. The degree of psychedelia is approximately proportional to the temperature of the model, and when you let it cool, the grand pattern is somewhat different. It is more stable; one arrives at a more globally consistent state. Your semantic-affective constraints are, on the whole, better satisfied. The Turings called this phenomenon qualia annealing.

coarsening_early_small

Ising Model – A simple computational analogy for the LSD-induced global constraint satisfaction facilitation.


Another key reference to look at within this theme is the discussion of non-Euclidean symmetry in the article titled The Hyperbolic Geometry of DMT Experiences: Symmetries, Sheets, and Saddled Scenes… here we jump in medias res to the description of the 2nd and 3rd plateau of DMT intoxication:

(2) The Chrysanthemum

If one ups the dose a little bit and lands somewhere in the range between 4 to 8 mg, one is likely to experience what Terrence McKenna called “the Chrysanthemum”. This usually manifests as a surface saturated with a sort of textured fabric composed of intricate symmetrical relationships, bright colors, shifting edges and shimmering pulsing superposition patterns of harmonic linear waves of many different frequencies.

Depending on the dose consumed one may experience either one or several semi-parallel channels. Whereas a threshold dose usually presents you with a single strong vibe (or ambiance), the Chrysanthemum level often has several competing vibes each bidding for your attention. Here are some examples of what the visual component of this state of consciousness may look like.

The visual component of the Chrysanthemum is often described as “the best screen saver ever“, and if you happen to experience it in a good mood you will almost certainly agree with that description, as it is usually extremely harmonious, symmetric and beautiful in uncountable ways. No external input can possibly replicate the information density and intricate symmetry of this state; such state has to be endogenously generated as a a sort of harmonic attractor of your brain dynamics.

You can find many replications of Chrysanthemum-level DMT experiences on the internet, and I encourage you to examine their implicit symmetries (this replication is one of my all-times favorite).

In Algorithmic Reduction of Psychedelic States we posited that any one of the 17 wallpaper symmetry groups can be instantiated as the symmetries that govern psychedelic visuals. Unfortunately, unlike the generally slow evolution of usual psychedelic visuals, DMT’s vibrational frequency forces such visuals to evolve at a speed that makes it difficult for most people to spot the implicit symmetry elements that give rise to the overall mathematical structure underneath one’s experience. For this reason it has been difficult to verify that all 17 wallpaper groups are possible in DMT states. Fortunately we were recently able to confirm that this is in fact the case thanks to someone who trained himself to do just this. I.e. detecting symmetry elements in patterns at an outstanding speed.

An anonymous psychonaut (whom we will call researcher A) sent a series of trip report to Qualia Computing detailing the mathematical properties of psychedelic visuals under various substances and dose regimens. A is an experienced psychonaut and a math enthusiast who recently trained himself to recognize (and name) the mathematical properties of symmetrical patterns (such as in works of art or biological organisms). In particular, he has become fluent at naming the symmetries exhibited by psychedelic visuals. In the context of 2D visuals on surfaces, A confirms that the symmetrical textures that arise in psychedelic states can exhibit any one of the 17 wallpaper symmetry groups. Likewise, he has been able to confirm that every possible spherical symmetry group can also be instantiated in one’s mind as a resonant attractor on these states.

The images below show some examples of the visuals that A has experienced on 2C-B, LSD, 4-HO-MET and DMT (sources: top lefttop middle, the rest were made with this service):

The Chrysanthemum level interacts with sensory input in an interesting way: the texture of anything one looks at quickly becomes saturated with nested 2-dimensional symmetry groups. If you took enough DMT to take you to this level and you keep your eyes open and look at a patterned surface (i.e. statistical texture), it will symmetrify beyond recognition. A explains that at this level DMT visuals share some qualities with those of, say, LSD, mescaline, and psilocin. Like other psychedelics, DMT’s Chrysanthemum level can instantiate any 2-dimensional symmetry, yet there are important differences from other psychedelics at this dose range. These include the consistent change in ambiance (already present in threshold doses), the complexity and consistency of the symmetrical relationships (much more dense and whole-experience-consistent than is usually possible with other psychedelics), and the speed (with a control-interruption frequency reaching up to 30 hertz, compared to 10-20 hertz for most psychedelics). Thus, people tend to point out that DMT visuals (at this level) are “faster, smaller, more detailed and more globally consistent” than on comparable levels of alteration from similar agents.

Now, if you take a dose that is a little higher (in the ballpark of 8 to 12 mg), the Chrysanthemum will start doing something new and interesting…

(3) The Magic Eye Level

A great way to understand the Magic Eye level of DMT effects is to think of the Chrysanthemum as the texture of an autostereogram (colloquially described as “Magic Eye” pictures). Our visual experience can be easily decomposed into two points-of-view (corresponding to the feed coming from each eye) that share information in order to solve the depth-map problem in vision. This is to map each visual qualia to a space with relative distances so (a) the input is explained and (b) you get recognizable every-day objects represented as implicit shapes beneath the depth-map. You can think of this process as a sort of hand-shake between bottom-up perception and top-down modeling.

In everyday conditions one solves the depth-map problem within a second of opening one’s eyes (minus minor details that are added as one looks around). But on DMT, the “low-level perceptions” looks like a breathing Chrysanthemum, which means that the top-down modeling has that “constantly shifting” stuff to play with. What to make of it? Anything you can think of.

There are three major components of variance on the DMT Magic Eye level:

  1. Texture (dependent on the Chrysanthemum’s evolution)
  2. World-sheet (non-occluduing 3D1T depth maps)
  3. Extremelly lowered information copying threshold.

The image on the left is a lobster, the one on the center is a cone and the one to the right contains furniture (a lamp, a chair and a table). Notice that what you see is a sort of depth-map which encodes shapes. We will call this depth-map together with the appearance of movement and acceleration represented in it, a world-sheet.

World-Sheets

The world-sheet encodes the “semantic content” of the scene and is capable of representing arbitrary situations (including information about what you are seeing, where you are, what the entities there are doing, what is happening, etc.).

It is common to experience scenes from usually mundane-looking places like ice-cream stores, play pens, household situations, furniture rooms, apparel, etc.. Likewise, one frequently sees entities in these places, but they rarely seem to mind you because their world is fairly self-contained. As if seeing through a window. People often report that the worlds they saw on a DMT trip were all “made of the same thing”. This can be interpreted as the texture becoming the surfaces of the world-sheet, so that the surfaces of the tables, chairs, ice-cream cones, the bodies of the people, and so on are all patterned with the same texture (just as in actual autostereograms). This texture is indeed the Chrysanthemum completely contorted to accommodate all the curvature of the scene.

Magic Eye level scenes often include 3D geometrical shapes like spheres, cones, cylinders, cubes, etc. The complexity of the scene is roughly dose-dependent. As one ups the highness (but still remaining within the Magic Eye level) complex translucid qualia crystals in three dimensions start to become a possibility.

Whatever phenomenal objects you experience on this level that lives for more than a millisecond needs to have effective strategies for surviving in an ecosystem of other objects adapted to that level. Given the extremely lowered information copying threshold, whatever is good at making copies of itself will begin to tesselate, mutate and evolve, stealing as much of your attention as possible in the way. Cyclic transitions occupy one’s attention: objects quickly become scenes which quickly become gestalts from which a new texture evolves in which new objects are detected and so on ad infinitum.

katoite-hydrogarnet

A reports that at this dose range one can experience at least some of the 230 space groups as objects represented in the world-sheet. For example, A reports having stabilized a structure with a Pm-3m symmetry structure, not unlike the structure of ZIF-71-RHO. Visualizing such complex 3D symmetries, however, does seem to require previous training and high levels of mental concentration (i.e. in order to ensure that all the symmetry elements are indeed what they are supposed to be).

There is so much qualia laying around, though, at times not even your normal space can contain it all. Any regular or semi regular symmetrical structure you construct by centering your attention prone to overflow if you focus too much on it. What does this mean? If you focus too much on, for example, the number 6, your mind might represent the various ways in which you can arrange six balls in a perfectly symmetrical way. Worlds made of hexagons and octahedrons interlocked in complex but symmetrical ways may begin to tesselate your experiential field. With every second you find more and more ways of representing the number six in interesting, satisfying, metaphorically-sound synesthetic ways (cf. Thinking in Numbers). Now, what happens if you try to represent the number seven in a symmetric way on the plane? Well, the problem is that you will have too many heptagons to fit in Euclidean space (cf. Too Many Triangles). Thus the resulting symmetrical patterns will seem to overflow the plane (which is often felt as a folding and fluid re-arrangement, and when there is no space left in a region it either expands space or it is felt as some sort of synesthetic tension or stress, like a sense of crackling under a lot of pressure).

In particular, A claims that in the lower ranges of the DMT Magic Eye level the texture of the Chrysanthemum tends to exhibit heptagonal and triheptagonal tilings (as shown in the picture above). A explains that at the critical point between the Chrysanthemum and the Magic Eye levels the intensity of the rate of symmetry detection of the Chrysanthemum cannot be contained to a 2D surface. Thus, the surface begins to fold, often in semi-symmetric ways. Every time one “recognizes” an object on this “folding Chrysanthemum” the extra curvature is passed on to this object. As the dose increases, one interprets more and more of this extra curvature and ends up shaping a complex and highly dynamic spatiotemporal depth map with hyperbolic folds. In the upper ranges of the Magic Eye level the world-sheet is so curved that the scenes one visualize are intricate and expansive, feeling at times like one is able to peer through one’s horizon in all directions and see oneself and one’s world from a distance. At some critical point one may feel like the space around one is folding into a huge dome where the walls are made of whatever texture + world-sheet combination happened to win the Darwinian selection pressures applied to the qualia patterns on the Magic Eye level. This concentrated hyperbolic synesthetic texture is what becomes the walls of the Waiting Room…


As suggested by the quotes above, psychedelic symmetries are extremely beautiful. This is puzzling for most worldviews. But once you take into account the Tyranny of the Intentional Object and the Symmetry Theory of Valence, it begins to make sense why peak symmetry on psychedelics is so delightfully amazing (sometimes unimaginably better than a great orgasm or a back-rub on ecstasy). In this vein, we are proud to point out that we have worked out some precise, empirically testable, predictions based on connectome-specific harmonic waves and the symmetry theory of valence (see: Quantifying Bliss).


Interestingly, the process of point-of-view fragmentation and subsequent annealing to global geometric coherence is hinted at by John C. Lilly in his book Programming and Metaprogramming in the Human Biocomputer (you can read the relevant quote here: Psychedelic alignment cascades).


Finally, I would like to draw attention to David Pearce‘s quote about psychedelics: Their Scientific Significance is Hard to Overstate.

As evidenced in Steven Lehar’s writeup (and the other quotes and references provided above), we could say that giving psychedelics to brilliant people with a scientific background in cognitive science and natural philosophical talent does indeed have the ability to expand our evidential base for the nature of consciousness and the way our brains work.

It is thus far more useful for the advancement of the science of consciousness to allocate such experiences to serious scientifically-minded psychonauts than it is to give those same agents to people with pre-scientific frameworks. The phenomenological descriptions and insights provided by a single Steven Lehar on acid are worth a thousand Buddhists, French Existentialists, poets, and film-makers on LSD.

Either way, it is unconscionable that today most leading academics working on the problem of consciousness have no personal experience with these agents, nor they show much interest in the alien state-spaces that they disclose. That’s about as weird as physicists only showing interest in what happens at room-temperature, even though most precise mathematical theories of the physical world can only be tested in extreme conditions (such as high-energy particle collisions). Just as we can expect that a few observations of the behavior of matter in extreme conditions will provide a lot more information than thousands of observations of matter in known “everyday” conditions, the ultimate nature of qualia is most likely to be understood by studying its properties in extreme (e.g. high-energy) neuronal environments.

Everything in a Nutshell

David Pearce at Quora in response to the question: “What are your philosophical positions in one paragraph?“:

“Everyone takes the limits of his own vision for the limits of the world.”
(Schopenhauer)

All that matters is the pleasure-pain axis. Pain and pleasure disclose the world’s inbuilt metric of (dis)value. Our overriding ethical obligation is to minimise suffering. After we have reprogrammed the biosphere to wipe out experience below “hedonic zero”, we should build a “triple S” civilisation based on gradients of superhuman bliss. The nature of ultimate reality baffles me. But intelligent moral agents will need to understand the multiverse if we are to grasp the nature and scope of our wider cosmological responsibilities. My working assumption is non-materialist physicalism. Formally, the world is completely described by the equation(s) of physics, presumably a relativistic analogue of the universal Schrödinger equation. Tentatively, I’m a wavefunction monist who believes we are patterns of qualia in a high-dimensional complex Hilbert space. Experience discloses the intrinsic nature of the physical: the “fire” in the equations. The solutions to the equations of QFT or its generalisation yield the values of qualia. What makes biological minds distinctive, in my view, isn’t subjective experience per se, but rather non-psychotic binding. Phenomenal binding is what consciousness is evolutionarily “for”. Without the superposition principle of QM, our minds wouldn’t be able to simulate fitness-relevant patterns in the local environment. When awake, we are quantum minds running subjectively classical world-simulations. I am an inferential realist about perception. Metaphysically, I explore a zero ontology: the total information content of reality must be zero on pain of a miraculous creation of information ex nihilo. Epistemologically, I incline to a radical scepticism that would be sterile to articulate. Alas, the history of philosophy twinned with the principle of mediocrity suggests I burble as much nonsense as everyone else.


Image credit: Joseph Matthias Young

Traps of the God Realm

From Opening the Heart of Compassion by Martin Lowenthal and Lar Short (pages 132-136).

Seeking Oneness

In this realm we want to be “one with the universe.” We are trying to return to a time when we felt no separation, when the world of our experience seemed to be the only world. We want to recover the experience and comfort of the womb. In the universe of the womb, everything was ours without qualification and was designed to support our existence and growth. Now we want the cosmos to be our womb, as if it were designed specifically for our benefit.

We want satisfaction to flow more easily, naturally and automatically. This seems less likely when we are enmeshed in the everyday affairs of the world. Therefore, we withdraw to the familiar world of what is ours, of what we can control, and of our domain of influence. We may even withdraw to a domain in the mind. Everything seems to come so much easier in the realm of thought, once we have achieved some modest control over our minds. Insulating ourselves from the troubles of others and of life, we get further seduced by the seeming limitlessness of this mental world. 

In this process of trance formation, we try to make every sound musical, every image a work of art, and every feeling pleasant. Blocking out all sources of irritation, we retreat to a self-proclaimed “higher” plane of being. We cultivate the “higher qualities of life,” not settling for a “mundane” life.

Masquerade of Higher Consciousness

The danger for those of us on a spiritual path is that the practices and the teachings can be enlisted to serve the realm rather than to dissolve our fixations and open us to truth. We discover that we can go beyond sensual pleasure and material beauty to refined states of consciousness. We achieve purely mental pleasures of increasing subtlety and learn how to maintain them for extended periods. We think we can maintain our new vanity and even expand it to include the entire cosmos, thus vanquishing change, old age, and death. Chogyam Trungpa Rinpoche called this process “spiritual materialism.”

For example, we use a sense of spaciousness to expand our consciousness by imposing our preconception of limitlessness on the cosmos. We see everything that we have created and “it is good.” Our vanity in the god realm elevates our self-image to the level of the divine–we feel capable of comprehending the universe and the nature of reality.

We move beyond our contemplation of limitless space, expanding our consciousness to include the very forces that create vast space. As the creator of vast space, we imagine that we have no boundaries, no limits, and no position. Our mind can now include everything. We find that we do not have concepts for such images and possibilities, so we think that the Divine or Essence must be not any particular thing we can conceive of, must be empty of conceptual characteristics.

Thus our vain consciousness, as the Divine, conceives that it has no particular location, is not anything in particular, and is itself beyond imagination. We arrive at the conclusion that even this attempt to comprehend emptiness is itself a concept, and that emptiness is devoid of inherent meaning. We shift our attention to the idea of being not not any particular thing. We then come to the glorious position that nothing can be truly stated, that nothing has inherent value. This mental understanding becomes our ultimate vanity. We take pride in it, identify as someone who “knows”, and adopt a posture in the world as someone who has journeyed into the ultimate nature of the unknown.

In this way we create more and more chains that bind us and limit our growth as we move ever inward. When we think we are becoming one with the universe, we are only achieving greater oneness with our own self-image. Instead of illuminating our ignorance, we expand its domain. We become ever more disconnected from others, from communication and true sharing, and from compassion. We subtly bind ourselves ever more tightly, even to the point of suffocation, under the guise of freedom in spaciousness.

Spiritual Masquerades of Teachers and Devoted Students

As we acquire some understanding and feel expansive, we may think we are God’s special gift to humanity, here to teach the truth. Although we may not acknowledge that we have something to prove, at some level we are trying to prove how supremely unique and important we are. Our spiritual life-style is our expression of that uniqueness and significance.

Spiritual teachers run a great danger of falling into the traps of the god realm. If a teacher has charisma and the ability to channel and radiate intense energy, this power may be misused to engender hope in students and to bind them in a dependent relationship. The true teacher undermines hope, teaches by the example of wisdom and compassion, and encourages students to be autonomous by investigating truth themselves, checking their own experience, and trusting their own results more than faith.

The teacher is not a god but a bridge to the unknown, a guide to the awareness qualities and energy capacities we want for our spiritual growth. The teacher, who is the same as we are, demonstrates what is possible in terms of aliveness and how to use the path of compassion to become free. In a sense, the teacher touches both aspects of our being: our everyday life of habits and feelings on the one hand and our awakened aliveness and wisdom on the other. While respect for and openness to the teacher are important for our growth and freedom, blind devotion fixates us on the person of the teacher. We then become confined by the limitations of the teacher’s personality rather than liberated by the teachings.

False Transcendence

Many characteristics of this realm–creative imagination, the tendency to go beyond assumed reality and individual perspectives, and the sense of expansiveness–are close to the underlying dynamic of wonderment. In wonder, we find the wisdom qualities of openness, true bliss, the realization of spaciousness within which all things arise, and alignment with universal principles. The god realm attitude results in superficial experiences that fit our preconceptions of realization but that lack the authenticity of wonder and the grounding in compassion and freedom.

Because the realm itself seems to offer transcendence, this is one of the most difficult realms to transcend. The heart posture of the realm propels us to transcend conflict and problems until we are comfortable. The desire for inner comfort, rather than for an authentic openness to the unknown, governs our quest. But many feelings arise during the true process of realization. At certain stages there is pain and disorientation, and at others a kind of bliss that may make us feel like we are going to burst (if there was something or someone to burst). When we settle for comfort we settle for the counterfeit of realization–the relief and pride we feel when we think we understand something.

Because we think that whatever makes us feel good is correct, we ignore disturbing events, information, and people and anything else that does not fit into our view of the world. We elevate ignorance to a form of bliss by excluding from our attention everything that is non-supportive.

Preoccupied with self, with grandiosity, and with the power and radiance of our own being, we resist the mystery of the unknown. When we are threatened by the unknown, we stifle the natural dynamic of wonder that arises in relation to all that is beyond our self-intoxication. We must either include vast space and the unknown within our sense of ourselves or ignore it because we do not want to feel insignificant and small. Our sense of awe before the forces of grace cannot be acknowledged for fear of invalidating our self-image.

Above the Law

According to our self-serving point of view, we are above the laws of nature and of humankind. We think that, as long as what we do seems reasonable to us, it is appropriate. We are accountable to ourselves and not to other people, the environment, or society. Human history is filled with examples of people in politics, business, and religion who demonstrated this attitude and caused enormous suffering.

Unlike the titans who struggle with death, we, as gods, know that death is not really real. We take comfort in the thought that “death is an illusion.” The only people who die are those who are stuck and have not come to the true inner place beyond time, change, and death. We may even believe that we have the potential to develop our bodies and minds to such a degree that we can reverse the aging process and become one of the “immortals.”

A man, walking on a beach, reaches down and picks up a pebble. Looking at the small stone in his hand, he feels very powerful and thinks of how with one stroke he has taken control of the stone. “How many years have you been here, and now I place you in my hand.” The pebble speaks to him, “Though to you, I am only a grain of sand in your hand, you, to me, are but a passing breeze.”

Qualia Computing Attending the 2017 Psychedelic Science Conference

From the 19th to the 24th of April I will be hanging out at Psychedelic Science 2017 (if you are interested in attending but have not bought the tickets: remember you can register until the 14th of February).

12020058_10206806127125111_5414514709501746096_nIn case you enjoy Qualia Computing and you are planning on going, now you can meet the human who is mostly responsible for these articles. I am looking forward to meeting a lot of awesome researchers. If you see me and enjoy what I do, don’t be afraid to say hi.

Why Care About Psychedelics?

Although the study of psychedelics and their effects is not a terminal value here in Qualia Computing, they are instrumental in achieving the main goals. The core philosophy of Qualia Computing is to (1) map out the state-space of possible experiences, (2) identify the computational properties of consciousness, and (3) reverse-engineer valence so as to find the way to stay positive without going insane.

Psychedelic experiences happen to be very informative and useful in making progress towards these three goals. The quality and magnitude of the consciousness alteration that they induce lends itself to exploring these questions. First, the state-space of humanly accessible experiences is greatly amplified once you add psychedelics into the mix. Second, the nature of these experiences is all but computationally dull (cf. alcohol and opioids). On the contrary, psychedelic experiences involve non-ordinary forms of qualia computing: the textures of consciousness interact in non-trivial ways, and it stands to reason that some combinations of these textures will be recruited in the future for more than aesthetic purposes. They will be used for computational purposes, too. And third, psychedelic states greatly amplify the range of valence (i.e. the maximum intensity of both pain and pleasure). They unlock the possibility of experiencing peak bliss as well as intense suffering. This strongly suggests that whatever underpins valence at the fundamental level, psychedelics are able to amplify it to a fantastic (and terrifying) extent. Thus, serious valence research will undoubtedly benefit from psychedelic science.

It is for this reason that psychedelics have been a major topic explored here since the beginning of this project. Here is a list of articles that directly deal with the subject:

List of Qualia Computing Psychedelic Articles

1) Psychophysics For Psychedelic Research: Textures

How do you make a psychophysical experiment that tells you something foundational about the information-processing properties of psychedelic perception? I proposed to use an experimental approach invented by Benjamin J. Balas based on the anatomically-inspired texture analysis and synthesis techniques developed by Eero Simoncelli. In brief, one seeks to determine which summary statistics are sufficient to create perceptual (textural) metamers. In turn, in the context of psychedelic research, this can help us determine which statistical properties are best discriminated while sober and which differences are amplified while on psychedelics.

2) State-Space of Drug Effects

I distributed a survey in which I asked people to rate drug experiences along 60 different dimensions. I then conducted factor analysis on these responses. This way I empirically derived six major latent traits that account more than half of the variance across all drug experiences. Three of these factors are tightly related to valence, which suggests that hedonic-recalibration might benefit from a multi-faceted approach.

3) How to Secretly Communicate with People on LSD

I suggest that control interruption (i.e. the failure of feedback inhibition during psychedelic states) can be employed to transmit information in a secure way to people who are in other states of consciousness. A possible application of this technology might be: You and your friends at Burning Man want to send a secret message to every psychedelic user on a particular camp in such a way that no infiltrated cop is able to decode it. To do so you could instantiate the techniques outlined in this article on a large LED display.

4) The Hyperbolic Geometry of DMT Experiences: Symmetries, Sheets, and Saddled Scenes

This article discusses the phenomenology of DMT states from the point of view of differential geometry. In particular, an argument is provided in favor of the view that high grade psychedelia usually involves a sort of geometric hyperbolization of phenomenal space.

5) LSD and Quantum Measurements: Can you see Schrödinger’s cat both dead and alive on acid?

We provide an empirical method to test the (extremely) wild hypothesis that it is possible to experience “multiple branches of the multiverse at once” on high doses of psychedelics. The point is not to promote a particular interpretation of such experiences. Rather, the points is that we can actually generate predictions from such interpretations and then go ahead and test them.

6) Algorithmic Reduction of Psychedelic States

People report a zoo of psychedelic effects. However, as in most things in life, there may be a relatively small number of basic effects that, when combined, can account for the wide variety of phenomena we actually observe. Algorithmic reductions are proposed as a conceptual framework for analyzing psychedelic experiences. Four candidate main effects are proposed.

7) Peaceful Qualia: The Manhattan Project of Consciousness

Imagine that there was a world-wide effort to identify the varieties of qualia that promote joy and prosocial behavior at the same time. Could these be used to guarantee world peace? By giving people free access to the most valuable and prosocial states of consciousness one may end up averting large-scale conflict in a sustainable way. This articles explores how this investigation might be carried out and proposes organizational principles for such a large-scale research project.

8) Getting closer to digital LSD

Why are the Google Deep Dream pictures so trippy? This is not just a coincidence. People call them trippy for a reason.

9) Generalized Wada-Test

In a Wada-test a surgeon puts half of your brain to sleep and evaluates the cognitive skills of your awake half. Then the process is repeated in mirror image. Can we generalize this procedure? Imagine that instead of just putting a hemisphere to sleep we gave it psychedelics. What would it feel like to be tripping, but only with your right hemisphere? Even more generally: envision a scheme in which one alternates a large number of paired states of consciousness and study their mixtures empirically. This way it may be possible to construct a network of “opinions that states of consciousness have about each other”. Could this help us figure out whether there is a universal scale for subjective value (i.e. valence)?

10) Psychedelic Perception of Visual Textures

In this article I discuss some problems with verbal accounts of psychedelic visuals, and I invite readers to look at some textures (provided in the article) and try to describe them while high on LSD, 2C-B, DMT, etc. You can read some of the hilarious comments already left in there.

11) The Super-Shulgin Academy: A Singularity I Can Believe In

Hard to summarize.