Do you think that some psychedelic drugs, such as DMT, can help mathematicians visualize the hyperbolic geometry of space? Or could mathematicians glean other interesting insights through the experience?

[From Quora]

The answer is yes (though I am the writer of the piece that is linked, so take my answer with a grain of salt).

The number of novel mathematical objects encoded in the structure of one’s experience when under the influence of DMT is huge. Most mathematicians who try it will come out feeling that they “don’t even know where to start”.

So let’s start simple.

Consider the “Chrysanthemum” level of DMT intoxication (which is the 2nd of 6 levels). Anybody who has read “The Symmetry of Things” by John H. Conway, Heidi Burgiel, and Chaim Goodman-Strauss (or who has a deep acquaintance with symmetry groups by other means) will *readily recognize* the fact that the symmetry groups that appear on such DMT visuals are *not Euclidean*.

At that level they would see rapidly-flickering superpositions of hyperbolic symmetry groups like *2 3 11, *2 3 7, 2 4 5, 2 3 9 (the picture below), etc. Together with the fact that these visuals are completely “flat-looking” rather than curved, this is the smoking gun that what you are looking at/experiencing is a hyperbolic phenomenal space.

2 3 9 Hyperbolic Symmetry Group

And this is not even discussing the 3D hyperbolic space that becomes apparent (if you know what to look for) on higher levels of DMT. For instance, on level 3 you can experience 3D Euclidean symmetry groups tesselate your visual field, on level 4 you can experience 3D hyperbolic space and “prime” objects that belong to that geometry (which are impossible to reproduce faithfully in Euclidean space). Level 5 leads to global topological bifurcations of the phenomenal space, which gives rise to even more exotic objects with hard-to-grasp mathematics. And level 6… well, there IS a level 6, and that’s as much as I’m willing to say for the time being.

In future, I believe that mathematicians who care to *look closely* will see the signature of exotic mathematical spaces on the “DMT Realms” everywhere. This will become common knowledge in both neuroscience and mathematical circles.

As David Pearce likes to say: “Some people think we are reaching the age where fundamental knowledge has been achieved… I think the enterprise of knowledge has scarcely begun.” Studying exotic states of consciousness is not even at a pre-Galilean stage, it perhaps is even at a pre-Socratic stage. Alas, if more people pay attention and document their experiences carefully, such that a critical mass of rational brilliant psychonauts is reached, there will be a “knowledge explosion”.


For more see: The Hyperbolic Geometry of DMT Experiences: Symmetries, Sheets, and Saddled Scenes (cf. Explain Like I’m 5 version), and How do you conceptualize the entities many individuals describe encountering when they’ve consumed DMT?

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

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

 

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

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

 

PsychonautWiki

Introduction

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

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

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

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

Key Terminology: Physical vs. Phenomenal Time

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

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

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

Key Background Assumptions

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

1. Indirect Realism About Perception

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

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

This slideshow requires JavaScript.

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

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

2. Discrete Moments of Experience

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

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

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

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

3. Qualia Formalism

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

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

 

Non-Materialist Physicalism by David Pearce

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

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

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

Timeless Causality

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

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

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

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

image-xlarge

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

Pseudo-Time Arrow

pseudo_time_arrow_illustrated_1

Physical Time vs. Phenomenal Time (video source)

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

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

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

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

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

sober_pseudo_time_arrow_1

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

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

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

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

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

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

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

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

Psychedelics

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

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

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

low_dose_lsd_pseudo_time_arrow

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

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

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

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

 

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

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

SONY DSC

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

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

Time Loops

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

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

high_dose_lsd_infinite

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

Moments of Eternity

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

high_dose_lsd_moment_of_eternity

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

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

oscillation_1_5_5_75_5_1_10_0.05_signal_

Sober Input

Temporal Branching

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

high_dose_lsd_branching

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

Timelessness

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

pseudo_time_arrow_loss

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

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

We will now conclude with a few final thoughts…

Hyperbolic Geometry

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

Implementation Level of Abstraction

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

Time and Valence

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

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

QRIalpha (1)

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


* As Yudkowsky puts it:

causeright_2

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

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

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

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



Thanks to: Mike Johnson, David Pearce, Romeo Stevens, Justin Shovelain, Andrés Silva Ruiz, Liam Brereton, and Enrique Bojorquez for their thoughts about phenomenal time and its possible mathematical underpinnings.

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).

Burning Man 2.0: The Eigen-Schelling Religion, Entrainment & Metronomes, and the Eternal Battle Between Consciousness and Replicators

Because our consensus reality programs us in certain destructive directions, we must experience other realities in order to know we have choices.

Anyone who limits her vision to memories of yesterday is already dead.

Lillie Langtry

Last year I wrote a 13,000 word essay about my experience at Burning Man. This year I will also share some thoughts and insights concerning my experience while being brief and limiting myself to seven thousand words. I decided to write this piece stand-alone in such a way that you do not need to have read the previous essay in order to make sense of the present text.


Camp Soft Landing

I have been wanting to attend Burning Man for several years, but last year was the first time I had both the time and resources to do so. Unfortunately I was not able to get a ticket in the main sale, so I thought I would have to wait another year to have the experience. Out of the blue, however, I received an email from someone from Camp Soft Landing asking me if I would be interested in giving a talk at Burning Man in their Palenque Norte speaker series. My immediate response was “I would love to! But I don’t have a ticket and I don’t have a camp.” The message I received in return was “Great! Well, we have extra tickets, and you can stay at our camp.” So just like that I suddenly had the opportunity to not only attend, but also be at a wonderful camp and give a talk about consciousness research.

Full Circle Teahouse

The camp I’ve been a part of turned out to be an extremely good fit for me both as a researcher and as a person. Camp Soft Landing is one of the largest camps at Burning Man, featuring a total of 150 participants every year. Its two main contributions to the playa are the Full Circle Teahouse and Palenque Norte. The Full Circle Teahouse is a place in which we serve adaptogen herbal tea blends and Pu’er tea in a peaceful setting that emphasizes presence, empathy, and listening. It’s also full of pillows and cozy blankets and serves as a place for people who are overwhelmed to calm down or crash after a hectic night. (During training we were advised to expect that some people “may not know where they are or how they got here when they wake up in the early morning” and to “help them get oriented and offer them tea”). Here are a few telling words by the Teahouse founder Annie Oak:

The real secret sauce to our camp’s collective survival has been our focus on the well being of everyone who steps inside Soft Landing. While the ancestral progenitor who occupied our location before us, Camp Above the Limit, ran a lively bar, we made a decision not to serve alcohol in our camp. I enjoy an occasional cocktail, but I believe that the conflating of the gift economy with free alcohol has compromised the public health and social cohesion of Black Rock City. We do not prohibit alcohol at Soft Landing, but we do not permit bars inside our camp. Instead, we run a tea bar at our Tea House for those seeking a place to rest, hydrate and receive compassionate care. We also give away hundreds of gallons of water to Tea House visitors. We don’t want to undermine their self-sufficiency, but we can proactively reduce the number of guests who become ill from dehydration. We keep our Tea House open until Monday after the Burn to help weary people stay alert on the perilous drive back home.

– Doing It Right: Theme Camp Management Insights from Camp Soft Landing

Palenque Norte

Palenque Norte is a speaker series founded by podcaster Lorenzo Hagerty in 2003 (cf. A Brief History of Palenque Norte). A friend described it as “TED for Psychedelic Research at Burning Man” which is pretty accurate. Indeed, looking at a list of Palenque Norte speakers is like browsing a who’s who of the scientific and artistic psychedelic community: Johns Hopkins‘ Roland GriffithsMAPS‘ Rick DoblinHeffter‘s George GreerEFF‘s John GilmoreAnn & Sasha Shulgin (Q&A), DanceSafe‘s Mitchell Gomez, Consciousness Hacking‘ Mikey SiegelPaul DaleyBruce Damer, Will Siu, Emily WilliamsSebastian Job, Alex Grey, Android Jones, and many others. For reference, here was this year’s Palenque Norte schedule:

Thanks to the Full Circle Teahouse and Palenque Norte, the social and memetic composition of Camp Soft Landing is one that is characterized by a mixture of veteran scientists and community builders in their 50s and 60s, science and engineering nerds with advanced degrees in their late 20s and early 30s, and a dash of millennials and Gen-Z-ers in the rationalist/Effective Altruist communities.

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Lorenzo Hagerty, Sasha Shulgin, and Bruce Damer (Burning Man, Palenque Norte c. 2007)

The people of Camp Soft Landing are near and dear to my heart given that they take consciousness seriously, they have a scientific focus, and they emit a strong intellectual vibe. As a budding qualia researcher myself, I feel completely at home there. As it turns out, this type of vibe is not at all out of place at Burning Man…

Burning Man Attendees

I would hazard the guess that Burning Man attendees are on average much more open to experience, conscientious, cognitively oriented, and psychologically robust than people in the general population. In particular, the combination of conscientiousness and openness to experience is golden. These are people who are not only able to think of crazy ideas, but who are also diligent enough to manifest them in the real world in concrete forms. This may account for the high production value and elaborate nature of the art, music, workshops, and collective activities. While the openness to experience aspect of Burning Man is fairly self-evident (it jumps at you if you do a quick google images search), the conscientiousness aspect may be a little harder to believe. Here I will quote a friend to illustrate this component:

Burning Man is the annual meeting of the recreational logistics community. Or maybe it’s a job interview for CEO: how to deal with broken situations and unexpected constraints in a multi-agent setting, just to survive.

[…]

Things I learned / practiced in the last couple of weeks: truck driving, clever packing, impact driver, attaching bike trailer, pumping gas and filling generators, knots, adding hanging knobs to a whiteboard, tying things with wire, quickly moving tents on the last night, finding rides, using ratchet straps, opening & closing storage container, driving to Treasure Island.

GL

Indeed this may be one of the key barriers of entry that defines the culture of Burning Man and explains why the crazy ideas people have in a given year tend to come back in the form of art in the next year… rather than vanishing into thin air.

There are other key features of the people who attend which can be seen by inspecting the Burning Man Census report. Here is a list of attributes, their baserate for Burners, and the baserate in the general population (for comparison): Having an undergraduate degree (73.6% vs. 32%), holding a graduate degree (31% vs. 10%), being gay/lesbian (8.5% vs. 1.3%), bisexual (10% vs. 1.8%), bicurious (11% vs. ??), polyamorous (20% vs. 5%), mixed race (9% vs. 3%), female (40% vs. 50%), median income (62K vs. 30K), etc.

From a bird’s eye view one can describe Burners as much more: educated, LGBT, liberal or libertarian, “spiritual but not religious”, and more mixed race than the average person. There are many more interesting cultural and demographic attributes that define the population of Black Rock City, but I will leave it at that for now for the sake of brevity. That said, feel free to inspect the following Census graphs for further details:

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Last year at Burning Man I developed a cluster of new concepts including “The Goldilocks Zone of Oneness” and “Hybrid Vigor in the context of post-Darwinian ethics.” I included my conversation with God and instructions for a guided oneness meditation. This year I continued to use the expanded awareness field of the Playa to further these and other concepts. In what follows I will describe some of the main ideas I experienced and then conclude with a summary of the talk I gave at Palenque Norte. If any of the following sections are too dense or uninteresting please feel free to skip them.

The Universal Eigen-Schelling Religion

On one of the nights a group of friends and I went on a journey following an art car, stopping every now and then to dance and to check out some art. At one point we drove through a large crowd of people and by the time the art car was on the other side, a few people from the group were missing. The question then became “what do we do?” We didn’t agree on a strategy for dealing with this situation before we embarked on the trip. After a couple of minutes we all converged on a strategy: stay near the art car and drive around until we find the missing people. The whole situation had a “lost in space” quality. Finding individual people is very hard since from a distance everyone is wearing roughly-indistinguishable multi-colored blinking LEDs all over their body. But since art cars are large and more distinguishable at a distance, they become natural Schelling points for people to converge on. Schelling points are a natural coordination mechanism in the absence of direct communication channels.

We were thus able to re-group almost in our entirety as a group (with only one person missing, who we finally had to give up on) by independently converging on the meta-heuristic of looking for the most natural Schelling point and finding the rest of the group there. For the rest of the night I kept thinking about how this meta-strategy may play out in the grand scheme of things.

If you follow Qualia Computing you may know that our default view on the nature of ethics is valence utilitarianism. People think they want specific things (e.g. ice-cream, a house, to be rich and famous, etc.) but in reality what they want is the high-valence response (i.e. happiness, bliss, and pleasure) that is triggered by such stimuli. When two people disagree on e.g. whether a certain food is tasty, they are not usually talking about the same experience. For one person, such food could induce high degrees of sensory euphoria, while for the other person, the food may leave them cold. But if they had introspective access to each other’s valence response, the disagreement would vanish (“Ah, I didn’t realize mayo produced such a good feeling for you. I was fixated on the aversive reaction I had to it.”). In other words, disagreements about the value of specific stimuli come down to lack of empathetic fidelity between people rather than a fundamental value mismatch. Deep down, we claim, we all like the same states of consciousness, and our disagreements come from the fact that their triggers vary between people. We call the fixation on the stimuli rather than the valence response the Tyranny of the Intentional Object.

In the grand scheme of things, we posit that advanced intelligences across the multiverse will generally converge on valence realism and valence utilitarianism. This is not an arbitrary value choice; it’s the natural outcome of looking for consistency among one’s disparate preferences and trying to investigate the true nature of conscious value. Insofar as curiosity is evolutionarily adaptive, any sufficiently general and sufficiently curious conscious mind eventually reaches the conclusion that value is a structural feature of conscious states and sheds the illusion of intentionality and closed identity. And while in the context of human history one could point at specific philosophers and scientists that have advanced our understanding of ethics (i.e. Plato, Bentham, Singer, Pearce, etc.) there may be a very abstract but universal way of describing the general tendency of curious conscious intelligences towards valence utilitarianism. It would go like this:

In a physicalist panpsychist paradigm, the vast majority of moments of experience do not occur within intelligent minds and leave no records of their phenomenal character for future minds to examine and inspect. A subset of moments of experience, though, do happen to take place within intelligent minds. We can call these conscious eigen-states because their introspective value can be retroactively investigated and compared against the present moment of experience, which has access to records of past experiences. Humans, insofar as they do not experience large amounts of amnesia, are able to experience a wide range of eigen-states throughout their lives. Thus, within a single human mind, many comparisons between the valence of various states of consciousness can be carried out (this is complicated and not always feasible given the state-dependence of memory). Either way, one could visualize how the information about the relative ranking of experiences is gathered across a Directed Acyclic Graph (DAG) of moments of experience that have partial introspective access to previous moments of experience. Furthermore, if the assumption of continuity of identity is made (i.e. that each moment of experience is witnessed by the same transcendental subject) then each evaluation between pairs of states of consciousness contributes a noisy datapoint to a universal ranking of all experiences and values.

After enough comparisons, a threshold number of evaluated experiences may be crossed, at which point a general theory of value can begin to be constructed. Thus a series of natural Schelling points for “what is universally valuable” become accessible to subsequent moments of experience. One of these focal points is the prevention of suffering throughout the entire multiverse. That is, to avoid experiences that do not like existing, independently of their location in space-time. Likewise, we would see another focal point that adds an imperative to realize experiences that value their own existence (“let the thought forms who love themselves reproduce and populate the multiverse”).

I call this approach to ethics the Eigen-Schelling Religion. Any sapient mind in the multiverse with a general enough ability to reason about qualia and reflect about causality is capable of converging to it. In turn, we can see that many concepts at the core of world religions are built around universal Eigen-Schelling points. Thus, we can rest assured that both the Bodhisattva imperative to eliminate suffering and the Christ “world redeeming” sentiment are reflections of a fundamental converging process to which many other intelligent life-forms have access across the entire multiverse. What I like about this framework is that you don’t need to take anyone’s word for what constitutes wisdom in consciousness. It naturally exists as reflective focal points within the state-space of consciousness itself in a way that transcends time and space.

Entrainment and Metronomes

In A Future for Neuroscience my friend and colleague Mike E. Johnson from the Qualia Research Institute explored how taking seriously the paradigm of Connectome-Specific Harmonic Waves (CSHW) leads us to reinterpret cognitive and personality traits in an entirely new light. In particular, here is what he has to say about emotional intelligence:

EQ (emotional intelligent quotient) isn’t very good as a formal psychological construct- it’s not particularly predictive, nor very robust when viewed from different perspectives. But there’s clearly something there– empirically, we see that some people are more ‘tuned in’ to the emotional & interpersonal realm, more skilled at feeling the energy of the room, more adept at making others feel comfortable, better at inspiring people to belief and action. It would be nice to have some sort of metric here.

I suggest breaking EQ into entrainment quotient (EnQ) and metronome quotient (MQ). In short, entrainment quotient indicates how easily you can reach entrainment with another person. And by “reach entrainment”, I mean how rapidly and deeply your connectome harmonic dynamics can fall into alignment with another’s. Metronome quotient, on the other hand, indicates how strongly you can create, maintain, and project an emotional frame. In other words, how robustly can you signal your internal connectome harmonic state, and how effectively can you cause others to be entrained to it. […] Most likely, these are reasonably positively correlated; in particular, I suspect having a high MQ requires a reasonably decent EnQ. And importantly, we can likely find good ways to evaluate these with CSHW.

This conceptual framework can be useful for making sense of the novel social dynamics that take place in Black Rock City. In particular, as illustrated by the Census responses, most participants are in a very open and emotionally receptive state at Burning Man:

One could say that by feeling safe, welcomed, and accepted at Burning Man, attendees adopt a very high Entrainment Quotient modus operandi. In tandem, we then see large art pieces, art cars, theme camps, and powerful sound systems blasting their unique distinctive emotional signals throughout the Playa. In a sense the entire place looks like an ecosystem of brightly-lit high-energy metronomes trying to attract the attention of a swarm of people in highly open and sensitive states with the potential to be entrained with these metronomes. Since the competition for attention is ferocious, there is not a single metronome that can dominate or totally brainwash you. All it takes for you to get a bad signal out of your head is to walk 50 meters to another place where the vibe will be, in all likelihood, completely different and overwrite the previous state.

This dynamic reaches its ultimate climax the very night of the Burn, as (almost) everyone gathers around the Man in a maximally receptive state, while at the same time every art car and group vibe surrounds the crowd and blasts their unique signals as loud and as intensely as possible all at the same time. This leads to the reification of the collective Burning Man egregore, which manifests as the sum total of all signals and vibes in mass ecstasy.

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Night of the Burn (source)

It is worth pointing out that not all of the metronomes in the Playa are created equal. Some art cars, for example, send highly specific and culturally-bound signals (e.g. country music, Simon & Garfunkel, Michael Jackson, etc.). While these metronomes will have their specific followings (i.e. you can always find a group of dedicated Pink Floyd fans) their ability to interface with the general Burner vibe is limited by their specificity and temporal irregularity. The more typical metronomic texture you will find scattered all around the Playa will be art forms that make use of more general patternceutical Schelling points with a stronger and more general metronomic capacity. Of note is the high degree of prevalence of house music and other 110 to 140 bpm (beats per minute) music that is able to entrain your brain from a distance and motivate you to move towards it- whether or not you are able to recognize the particular song. If you listen carefully to e.g. Palenque Norte recordings you will notice the occasional art car driving by, and the music it is blasting will usually have its tempo within that range, with a strong, repeating, and easily recognizable beat structure. I suspect that this tendency is the natural emergent effect of the evolutionary selection pressures that art forms endure from one Burn to another, which benefit patterns that can captivate a lot of human attention in a competitive economy of recreational states of consciousness.

mystic_samskara

Android Jones’ Samskara at Camp Mystic 2017 (an example of the Open Individualist Schelling Vibe – i.e. the religion of the ego-dissolving LSD frequency of consciousness)

And then there are the extremely general metronome strategies that revolve around universal principles. The best example I found of this attention-capturing approach was the aesthetic of oneness, which IMO seemed to reach its highest expression at Camp Mystic:

Inspired by a sense of mystery & wonder, we perceive the consciousness of “We Are All One”. Mystics encourage the enigmatic spirit to explore a deeper connection not only on this planet and all that exists within, but the realm of the entire Universe.

Who are the Mystics? 

At their Wednesday night “White Dance Party” (where you are encouraged to dress in white) Camp Mystic was blasting the strongest vibes of Open Individualism I witnessed this year. I am of the mind that philosophy is the soul of poetry, and that massive party certainly had as its underlying philosophy the vibe of oneness and unity. This vibe is itself a Schelling point in the state-space of consciousness… the religion of the boundary-dissolving LSD frequency is not a random state, but a central hub in the super-highway of the mind. I am glad these focal points made prominent appearances at Burning Man.

Uncontrollable Feedback Loops

It is worth pointing out that at an open field as diverse as Burning Man we are likely to encounter positive feedback systems with both good and bad effects on human wellbeing. An example of a positive feedback loop with bad effects would be the incidents that transpired around the “Carkebab” art installation:

The sculpture consisted of a series of cars piled on top of each other held together by a central pole. The setup was clearly designed to be climbed given the visible handles above the cars leading to a view cart at the top. However, in practice it turned out to be considerably more dangerous and hard to climb than it seemed. Now you may anticipate the problem. If you are told that this art piece is climbable but dangerous, one can easily conjure a mental image of a future event in which someone falls and gets hurt. And as soon as that happens, access to the art installation will be restricted. Thus, one reasons that there is a limited amount of time left in which one will be able to climb the structure. Now imagine a lot of people having that train of thought. As more people realize that an accident is imminent, more people are motivated to climb it before that happens, thus creating an incentive to go as soon as possible, leading to crowding, which in turn increases the chance of an accident. The more people approach the installation, the more imminent the final point seems, and the more pressing it becomes to climb the structure before it becomes off-limits, and the more dangerous it becomes. Predictably, the imminent accident did take place. Thankfully it only involved a broken shoulder rather than something more severe. And yet, why did we let it get to that point? Perhaps in the future we should have methods to detect positive feedback loops like this and put the brakes on before it’s too late…

This leads to the topic of danger:

Counting Microlives

Can Burning Man be a place in which an abolitionist ethic can put down roots for long-term civilizational planning? Let’s briefly examine some of the potential acute, medium-term, and long-term costs of attending. Everyone has a limit, right? Some may want to think: “well, you only live once, let’s have fun”. But if you are one of the few who carries the wisdom, will, and love to move consciousness forward this should not be how you think. What would be an acceptable level of risk that an Effective Altruist should be able to accept to experience the benefits of Burning Man? I think that the critical question here is not “Is Burning Man dangerous?” but rather “How bad is it for you?”

Thankfully actuaries, modern medicine, and economists have already developed a theoretical framework for putting a number on this question. Namely, this is the concept of micromorts (i.e. 1 in a million chance of dying) and its sister concept of microlife (a cost of 1 millionth of a lifespan lost or gained by performing some activity). My preference is that of using microlives because they translate more easily into time and are, IMO, more conceptually straightforward. So here is the question: How many microlives should we be willing to spend to attend Burning Man? 10 microlives? 100 microlives? 1,000 microlives? 10,000 microlives?

Based on the fact that there are many long-term burners still alive I guesstimate that the upper bound cannot possibly be higher than 10,000 or we would know about it already. I.e. the percentage of people who get e.g. skin cancer, lung disease, or die in other ways would probably be already apparent in the community. Alternatively, it’s also possible that a reduced life expectancy as a result of attending e.g. 10+ Burns is an open secret among long-term burners… they see their friends die at an inexplicably higher rate but are too afraid to talk about it honestly. After all, people tend to be very clingy to their main sources of meaning (what we call “emotionally load-bearing activities”) so a large amount of denial can be expected in this domain.

Additionally, discussing Burning Man micromorts might be a particularly touchy and difficult subject for a number of attendees. The reason being that part of the psychological value that Burning Man provides is a felt sense of the confrontation with one’s fragility and mortality. Many older burners seem to have come to terms with their own mortality quite well already. Indeed, perhaps accepting death as part of life may be one of the very mechanisms of action for the reduction in neuroticism caused by intense experiences like psychedelics and Burning Man.

But that is not my jazz. I would personally not want to recommend an activity that costs a lot of microlives to other people in team consciousness. While I want to come to terms with death as much as your next Silicon Valley mystically-inclined nerd, I also recognize that death-acceptance is a somewhat selfish desire. Paradoxically, living a long, healthy, and productive life is one of the best ways for us to improve our chances of helping consciousness-at-large given our unwavering commitment to the eradication of all sentient suffering.

The main acute risks of Burning Man could be summarized as: dehydration, sleep deprivation, ODing (especially via accidental dosing, which is not uncommon, sadly), being run over by large vehicles (especially by art cars, trucks, and RVs), and falling from art or having art fall on you. These risks can be mitigated by the motto of “doing only one stupid thing at a time” (cf. How not to die at Burning Man). It’s ok to climb a medium-sized art piece if you are fully sober, or to take a psychedelic if you have sitters and don’t walk around art cars, etc. Most stories of accidents one hears about start along the lines of: “So, I was drunk, and high, and on mushrooms, and holding my camera, and I decided to climb on top of the thunderdome, and…”. Yes, of course that went badly. Doing stupid things on top of each other has multiplicative risk effects.

In the medium term, a pretty important risk is that of being busted by law enforcement. After all, the financial, psychological, and physiological effects of going to prison are rather severe on most people. On a similar note, a non-deadly but psychologically devastating danger of living in the desert for a week is an increased risk of kidney stones due to dehydration. The 10/10 pain you are likely to experience while passing a kidney stone may have far-reaching traumatic effects on one’s psyche and should not be underestimated (sufferers experience an increased risk of heart disease and, I would suspect, suicide).

But of all of the risks, the ones that concern me the most are the long term ones given their otherwise silent nature. In particular, we have skin cancer due to UV exposure and lung/heart disease caused by high levels of PM2.5 particles. With respect to the skin component, it is worth observing that a large majority of Burning Man attendees are caucasian and thus at a significantly higher risk. Me being a redhead, I’ve taken rather extreme precautions in this area. I apply SPF50+ sunscreen every couple of hours, use a wide-rim hat, wear arm sleeves [and gloves] for UV sun protection, wear sunglasses, stay in the shade as often as I can, etc. I recommend that other people also follow these precautions.

And with regards to dust… here I would have to say we have the largest error bars. Does Burning Man dust cause lung cancer? Does it impair lung function? Does it cause heart disease? As far as I can tell nobody knows the answer to these questions. A lot of people seem to believe that the air-borne particles are too large to pose a problem, but I highly doubt that is the case. The only source I’ve been able to find that tried to quantify dangerous particles at Burning Man comes from Camp Particle, which unfortunately does not seem to have published its results (and only provides preliminary data without the critical measure of PM2.5 I was looking for). Here are two important thoughts in this area. First, let’s hope that the clay-like alkaline composition of Playa dust turns out to be harmless to the lungs. And second, like most natural phenomena, chances are that the concentration of dangerous particles in, e.g. 1 minute buckets, follows a power law. I would strongly expect that at least 80% of the dust one inhales comes from 20% of the time in which it is most present. More so, during dust storms and especially in white-outs, I would expect the concentration of dust in the air to be at least 1,000 times higher than the median concentration. If that’s true, breathing without protection during a white-out for as little as two minutes would be equivalent to breathing in “typical conditions” without protection for more than 24 hours. In other words, being strategic and diligent about wearing a heavy and cumbersome PN100 mask may be far more effective than lazily taking on and off a more convenient (but less effective) mask throughout the day. Personally, I chose to always have on hand an M3 half facepiece with PN100 filters ready in case the dust suddenly became thicker. This did indeed save me from breathing dust during all dust storms. The difference in the quality of air while wearing it was like day and night. I will also say that while I prefer my look when I have a beard, I chose to fully shave during the event in order to guarantee a good seal with the mask. In retrospect, the fashion sacrifice does seem to be worth it, though at the time I certainly missed having a beard.

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The question remaining is: with a realistic amount of protection, what is the acceptable level of risk? I propose that you make up your mind before we find out with science how dangerous Burning Man actually is. In my case, I am willing to endure up to 100 negative microlives per day at Burning Man (for a total of ~800 microlives) as the absolute upper bound. Anything higher than that and the experience wouldn’t be worth it for me, and I would not recommend it to memetic allies. Thankfully, I suspect that the actual danger is lower than that, perhaps in the range of 40 negative microlives per day (mostly in the form of skin cancer and lung disease). But the problem remains that this estimate has very wide error bars. This needs to be addressed.

And if the danger does turn out to be unacceptable, then we can still look to recreate the benefits of Burning Man in a safer way: Your Legacy Could Be To Move Burning Man to a Place With A Fraction of Its Micromorts Cost.

Dangerous Bonding

In the ideal case Burning Man would be an event that triggers our brains to produce “danger signals” without there actually being much danger at all. This is because with our current brain implementation, experiencing perceived danger is helpful for bonding, trust building, and a sense of self-efficacy and survival ability.

And now on to my talk…

Andrés Gómez Emilsson – Consciousness vs. Replicators

The video above documents my talk, which includes an extended Q&A with the audience. Below is a quick summary of the main points I touched throughout the talk:

  1. Intro to Qualia Computing
    1. I started out by asking the audience if they had read any Qualia Computing articles. About 30% of them raised a hand. I then asked them how they found out about my talk, and it seems that the majority of the attendees (50%+) found it through the “What Where When” booklet. Since the majority of the people didn’t know about Qualia Computing before the talk, I decided to provide a quick introduction to some of the main concepts:
      1. What is qualia? – The raw way in which consciousness feels. Like the blueness of blue. Did you ever wonder as a kid whether other people saw the same colors as you? Qualia is that ineffable quality of experience that we currently struggle to communicate.
      2. Personal Identity:
        1. Closed Individualism – you start existing when you are born, stop existing when you die.
        2. Empty Individualism – brains are “experience machines” and you really are just a “moment of experience” disconnected from every other “moment of experience” your brain has generated or will generate.
        3. Open Individualism – we are all the “light of consciousness”. Reality has only one numerically identical subject of experience who is everyone, but which takes all sorts of forms and shapes.
        4. For the purpose of this talk I assume that Open Individualism is true, which provides a strong reason to care about the wellbeing of all sentient beings, even from a “selfish” point of view.
      3. Valence – This is the pleasure-pain axis. We take a valence realist view which means that we assume that there is an objective matter of fact about how much an experience is in pain/suffering vs. experiencing happiness/pleasure. There are pure heavenly experiences, pure hellish experiences, mixed states (e.g. enjoying music you love on awful speakers while wanting to pee), and neutral states (e.g. white noise, mild apathy, etc.).
      4. Evolutionary advantages of consciousness as part of the information processing pipeline – I pointed out that we also assume that consciousness is a real and computationally relevant phenomena. And in particular, that the reason why consciousness was recruited by natural selection to process information has to do with “phenomenal binding”. I did not go into much detail about it at the time, but if you are curious I elaborated about this during the Q&A.
  2. Spirit of our research:
    1. Exploration + Knowledge/Synthesis. Many people either over-focus on exploration (especially people very high in openness to experience) or on synthesis (like conservatives who think “the good days are gone, let’s study history”). The spirit of our research combines both open-ended exploration and strong synthesis. We encourage people to both expand their evidential base and make serious time to synthesize and cross-examine their experiences.
    2. A lot of people treat consciousness research like people used to treat alchemy. That is, they have a psychological need to “keep things magical”. We don’t. We think that consciousness research is due to transition into a hard science and that many new possibilities will be unlocked after this transition, not unlike how chemistry is thousands of times more powerful than alchemy because it allows you to create synthesis pathways from scratch using chemistry principles.
  3. How People Think and Why Few Say Meaningful Things:
    1. What most people say and talk about is a function of the surrounding social status algorithm (i.e. what kind of things award social recognition) and deep-seated evolutionarily adaptive programs (such as survival, reproductive, and affective consistency programs).
    2. Nerds and people on the autism spectrum do tend to circumvent this general mental block and are able to discuss things without being motivated by status or evolutionary programs only, instead being driven by open-ended curiosity. We encourage our collaborators to have that approach to consciousness research.
  4. What the Economy is Based on:
    1. Right now there are three main goods that are exchanged in the global economy. These are:
      1. Survival – resources that help you survive, like food, shelter, safety, etc.
      2. Power – resources that allow you to acquire social and physical power and thus increase your chances of reproducing.
      3. Consciousness – information about the state-space of consciousness. Right now people are willing to spend their “surplus” resources on experiences even if they do not increase their reproductive success. A possible dystopian scenario is one in which people do not do this anymore – everyone spends all of their available time and energy pursuing jobs for the sake of maximizing their wealth and increasing their reproductive success. This leads us to…
  5. Pure Replicators – In Wireheading Done Right we introduced the concept of a Pure ReplicatorI will define a pure replicator, in the context of agents and minds, to be an intelligence that is indifferent towards the valence of its conscious states and those of others. A pure replicator invests all of its energy and resources into surviving and reproducing, even at the cost of continuous suffering to themselves or others. Its main evolutionary advantage is that it does not need to spend any resources making the world a better place. (e.g. crystals, viruses, programs, memes, genes)
    1. It is reasonable to expect that in the absence of evolutionary selection pressures that favor the wellbeing of sentient beings, in the long run everyone alive will be playing a Pure Replicator strategy.
  6. States vs. Stages vs. Theory of Morality
    1. Ken Wilber emphasizes that there is a key difference between states and stages. Whereas states of consciousness involve various degrees of oneness and interconnectedness (from normal everyday sober experiences all the way to unity consciousness and satori), how you interpret these states will ultimately depend on your own level of moral development and maturity. This is very true and important. But I propose a further axis:
    2. Levels of intellectual understanding of ethics. While stages of consciousness refer to the degree to which you are comfortable with ambiguity, can synthesize large amounts of seemingly contradictory experiences, and are able to be emotionally stable in the face of confusion, we think that there is another axis worth exploring that has more to do with one’s intellectual model of ethics.
    3. The 4 levels are:
      1. Good vs. evil – the most common view which personifies/essentializes evil (e.g. “the devil”)
      2. Balance between good and evil – the view that most people who take psychedelics and engage in eastern meditative practices tend to arrive at. People at this level tend to think that good implies evil, and that the best we can do is to reach a state of balance and equanimity. I argue that this is a rationalization to be able to deal with extremes of suffering; the belief itself is used as an anti-depressant, which shows the intrinsic contradictoriness and motivated reasoning behind adopting this ethical worldview. You believe in the balance between good and evil in general so that you, right now, can feel better about your life. You are still, implicitly, albeit in a low-key way, trying to regulate your mood like everyone else.
      3. Gradients of wisdom – this is the view that people like Sam Harris, Ken Wilber, John Lilly, David Chapman, Buddha, etc. seem to converge on. They don’t have a deontological “if-then” ethical programming like the people at the first level. Rather, they have general heuristics and meta-heuristics for navigating complex problems. They do not claim to know “the truth” or be able to identify exactly what makes a society “better for human flourishing” but they do accept that some environments and states of consciousness are more healthy and conducive to wisdom than others. The problem with this view is that it does not give you a principled way to resolve disagreements or a way forward for designing societies from first principles.
      4. Consciousness vs. pure replicators – this view is the culmination of intellectual ethical development (although you could still be very neurotic and unenlightened otherwise) which arises when one identifies the source of everything that is systematically bad as caused by patterns that are good at making copies of themselves but that either don’t add conscious value or actively increase suffering. In this framework, it is possible for consciousness to win, which would happen if we create a full-spectrum super-sentient super-intelligent singleton that explores the entire state-space of consciousness and rationally decides what experiences to instantiate at a large scale based on the empirically revealed total order of consciousness.
  7. New Reproductive Strategies
    1. Given that we on team consciousness are in a race against Pure Replicator Hell scenarios it is important to explore ways in which we could load the dice in the favor of consciousness. One way to do so would be to increase the ways in which prosocial people are able to reproduce and pass on their pro-consciousness genes going forward. Here are a few interesting examples:
      1. Gay + Lesbian couple – for gay and lesbian couples with long time horizons we could help them have biological kids with the following scheme: Gay couple A + B and lesbian couple X + Z could combine their genes and have 4 kids A/X, A/Z, B/X, B/Z. This would create the genetic and game-theoretical incentives for this new kind of family structure to work in the long term.
      2. Genetic spellchecking – one of the most promising ways of increasing sentient welfare is to apply genetic spellchecking to embryos. This means that we would be reducing the mutational load of one’s offspring without compromising one’s genetic payload (and thus selfish genes would agree to the procedure and lead to an evolutionarily stable strategy). You wouldn’t ship code to production without testing and debugging, you wouldn’t publish a book without someone proof-reading it first, so why do we push genetic code to production without any debugging? As David Pearce says, right now every child is a genetic experiment. It’s terrible that such a high percentage of them lead to health and mental problems.
      3. A reproductive scheme in which 50% of the genes come from an “intelligently vetted gene pool” and the other 50% come from the parents’ genes. This would be very unpopular at first, but after a generation or two we would see that all of the kids who are the result of this procedure are top of the class, win athletic competitions, start getting Nobel prizes and Fields medals, etc. So soon every parent will want to do this… and indeed from a selfish gene point of view there will be no option but to do so, as it will make the difference between passing on some copies vs. none.*
      4. Dispassionate evaluation of the merits and drawbacks of one’s genes in a collective of 100 or more people where one recombines the genetic makeup of the “collective children” in order to maximize both their wellbeing and the information gained. In order to do this analysis in a dispassionate way we might need to recruit 5-meo-dmt-like states of consciousness that make you identify with consciousness rather than with your particular genes, and also MDMA-like states of mind in order to create a feeling of connection to source and universal love even if your own patterns lose out at some point… which they will after long enough, because eventually the entire gene pool would be replaced by a post-human genetic make-up.
  8. Consciousness vs. Replicators as a lens – I discussed how one can use the 4th stage of intellectual ethical development as a lens to analyze the value of different patterns and aesthetics. For example:
    1. Conservatives vs. Liberals (stick to your guns and avoid cancer vs. be adaptable but expose yourself to nasty dangers)
    2. Rap Music vs. Classical or Electronic music (social signaling vs. patternistic valence exploration)
  9. Hyperstition – Finally, I discussed the concept of hyperstition, which is a concept that refers to “ideas that make themselves real”. I explored it in the first Burning Man article. The core idea is that states of consciousness can indeed transform the history of the cosmos. In particular, high-energy states of mind like those experienced under psychedelics allow for “bigger ideas” and thus increase the upper bound of “irreducible complexity” for one’s thoughts. An example of this is coming up with further alternative reproductive strategies, which I encouraged the audience to do in order to increase the chances that team consciousness wins in the long term…

The End.


Bonus content: things I overheard virgin burners say:

  • “Intelligent people build intelligent civilizations. I now get what a society made of brilliant people would look like.”
  • “Burning Man is a magical place. It seems like it is one of the only places on Earth where the Spirit World and the Physical World intersect and play with each other.”
  • “It is not every day that you engage in a deeply transformative conversation before breakfast.”

* Thanks to Alison Streete for this idea.

ELI5 “The Hyperbolic Geometry of DMT Experiences”

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I wrote the following in response to a comment on the r/RationalPsychonaut subreddit about this DMT article I wrote some time ago. The comment in question was: “Can somebody eli5 [explain like I am 5 years old] this for me?” So here is my attempt (more like “eli12”, but anyways):

In order to explain the core idea of the article I need to convey the main takeaways of the following four things:

  1. Differential geometry,
  2. How it relates to symmetry,
  3. How it applies to experience, and
  4. How the effects of DMT turn out to be explained (in part) by changes in the curvature of one’s experience of space (what we call “phenomenal space”).

1) Differential Geometry

If you are an ant on a ball, it may seem like you live on a “flat surface”. However, let’s imagine you do the following: You advance one centimeter in one direction, you turn 90 degrees and walk another centimeter, turn 90 degrees again and advance yet another centimeter. Logically, you just “traced three edges of a square” so you cannot be in the same place from which you departed. But let’s says that you somehow do happen to arrive at the same place. What happened? Well, it turns out the world in which you are walking is not quite flat! It’s very flat from your point of view, but overall it is a sphere! So you ARE able to walk along a triangle that happens to have three 90 degree corners.

That’s what we call a “positively curved space”. There the angles of triangles add up to more than 180 degrees. In flat spaces they add up to 180. And in “negatively curved spaces” (i.e. “negative Gaussian curvature” as talked about in the article) they add up to less than 180 degrees.

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Eight 90-degree triangles on the surface of a sphere

So let’s go back to the ant again. Now imagine that you are walking on some surface that, again, looks flat from your restricted point of view. You walk one centimeter, then turn 90 degrees, then walk another, turn 90 degrees, etc. for a total of, say, 5 times. And somehow you arrive at the same point! So now you traced a pentagon with 90 degree corners. How is that possible? The answer is that you are now in a “negatively curved space”, a kind of surface that in mathematics is called “hyperbolic”. Of course it sounds impossible that this could happen in real life. But the truth is that there are many hyperbolic surfaces that you can encounter in your daily life. Just to give an example, kale is a highly hyperbolic 2D surface (“H2” for short). It’s crumbly and very curved. So an ant might actually be able to walk along a regular pentagon with 90-degree corners if it’s walking on kale (cf. Too Many Triangles).

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An ant walking on kale may infer that the world is an H2 space.

In brief, hyperbolic geometry is the study of spaces that have this quality of negative curvature. Now, how is this related to symmetry?

2) How it relates to symmetry

As mentioned, on the surface of a sphere you can find triangles with 90 degree corners. In fact, you can partition the surface of a sphere into 8 regular triangles, each with 90 degree corners. Now, there are also other ways of partitioning the surface of a sphere with regular shapes (“regular” in the sense that every edge has the same length, and every corner has the same angle). But the number of ways to do it is not infinite. After all, there’s only a handful of regular polyhedra (which, when “inflated”, are equivalent to the ways of partitioning the surface of a sphere in regular ways).

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If you instead want to partition a plane in a regular way with geometric shapes, you don’t have many options. You can partition it using triangles, squares, and hexagons. And in all of those cases, the angles on each of the vertices will add up to 360 degrees (e.g. six triangles, four squares, or thee corners of hexagons meeting at a point). I won’t get into Wallpaper groups, but suffice it to say that there are also a limited number of ways of breaking down a flat surface using symmetry elements (such as reflections, rotations, etc.).

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Regular tilings of 2D flat space

Hyperbolic 2D surfaces can be partitioned in regular ways in an infinite number of ways! This is because we no longer have the constraints imposed by flat (or spherical) geometries where the angles of shapes must add up to a certain number of degrees. As mentioned, in hyperbolic surfaces the corners of triangles add up to less than 180 degrees, so you can fit more than 6 corners of equilateral triangles at one point (and depending on the curvature of the space, you can fit up to an infinite number of them). Likewise, you can tessellate the entire hyperbolic plane with heptagons.

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Hyperbolic tiling: Each of the heptagons is just as big (i.e. this is a projection of the real thing)

On the flip side, if you see a regular partitioning of a surface, you can infer what its curvature is! For example, if you see that a surface is entirely covered with heptagons, three on each of the corners, you can be sure that you are seeing a hyperbolic surface. And if you see a surface covered with triangles such that there are only four triangles on each joint, then you know you are seeing a spherical surface. So if you train yourself to notice and count these properties in regular patterns, you will indirectly also be able to determine whether the patterns inhabit a spherical, flat, or hyperbolic space!

3) How it applies to experience

How does this apply to experience? Well, in sober states of consciousness one is usually restricted to seeing and imagining spherical and flat surfaces (and their corresponding symmetric partitions). One can of course look at a piece of kale and think “wow, that’s a hyperbolic surface” but what is impossible to do is to see it “as if it were flat”. One can only see hyperbolic surfaces as projections (i.e. where we make regular shapes look irregular so that they can fit on a flat surface) or we end up contorting the surface in a crumbly fashion in order to fit it in our flat experiential space. (Note: even sober phenomenal space happens to be based on projective geometry; but let’s not go there for now.)

4) DMT: Hyperbolizing Phenomenal Space

In psychedelic states it is common to experience whatever one looks at (or, with more stunning effects, whatever one hallucinates in a sensorially-deprived environment such as a flotation tank) as slowly becoming more and more symmetric. Symmetrical patterns are attractors in psychedelia. It’s common for people to describe their acid experiences as “a kaleidoscope of colors and meaning”. We should not be too quick to dismiss these descriptions as purely metaphorical. As you can see from the article Algorithmic Reduction of Psychedelic States as well as PsychonautWiki’s Symmetrical Texture Repetition, LSD and other psychedelics do in fact “symmetrify” the textures you experience!

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What gravel might look like on 150 mics of LSD (Source)

As it turns out, this symmetrification process (what we call “lowering the symmetry detection/propagation threshold”) does allow one to experience any of the possible ways of breaking down spherical and flat surfaces in regular ways (in addition to also enabling the experience of any wallpaper group!). Thus the surfaces of the objects one hallucinates on LSD (specially for Closed Eyes Visuals), are usually carpeted with patterns that have either spherical or flat symmetries (e.g. seeing honeycombs, square grids, regular triangulations, etc.; or seeing dodecahedra, cubes, etc.).

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17 wallpaper symmetry groups

Only on very high doses of classic psychedelics does one start to experience objects that have hyperbolic curvature. And this is where DMT becomes very relevant. Vaping it is one of the most efficient ways of achieving “unworldly levels of psychedelia”:

On DMT the “symmetry detection threshold” is reduced to such an extent that any surface you look at very quickly gets super-saturated with regular patterns. Since (for reasons we don’t understand) our brain tries to incorporate whatever shape you hallucinate into the scene as part of the scene, the result of seeing too many triangles (or heptagons, or whatever) is that your brain will “push them into the surfaces” and, in effect, turn those surfaces into hyperbolic spaces.HeptagonsIndrasPearls

Yet another part of your brain (or system of consciousness, whatever it turns out to be) recognizes that “wait, this is waaaay too curved somehow, let me try to shape it into something that could actually exist in my universe”. Hence, in practice, if you take between 10 and 20 mg of DMT, the hyperbolic surfaces you see will become bent and contorted (similar to the pictures you find in the article) just so that they can be “embedded” (a term that roughly means “to fit some object into a space without distorting its properties too much”) into your experience of the space around you.

But then there’s a critical point at which this is no longer possible: Even the most contorted embeddings of the hyperbolic surfaces you experience cannot fit any longer in your normal experience of space on doses above 20 mg, so your mind has no other choice but to change the curvature of the 3D space around you! Thus when you go from “very high on DMT” to “super high on DMT” it feels like you are traveling to an entirely new dimension, where the objects you experience do not fit any longer into the normal world of human experience. They exist in H3 (hyperbolic 3D space). And this is in part why it is so extremely difficult to convey the subjective quality of these experiences. One needs to invoke mathematical notions that are unfamiliar to most people; and even then, when they do understand the math, the raw feeling of changing the damn geometry of your experience is still a lot weirder than you could ever anticipate.

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Anybody else want to play hyperbolic soccer? Humans vs. Entities, the match of the eon!

Note: The original article goes into more depth

Now that you understand the gist of the original article, I encourage you to take a closer look at it, as it includes content that I didn’t touch in this ELI5 (or 12) summary. It provides a granular description of the 6 levels of DMT experience (Threshold, Chrysanthemum, Magic Eye, Waiting Room, Breakthrough, and Amnesia), many pictures to illustrate the various levels as well as the particular emergent geometries, and a theoretical discussion of the various algorithmic reductions that might explain how the hyperbolization of phenomenal space takes place based on combining a series of simpler effects together.