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to a kale salad world etc. (example(“Experience:30mg Smoked DMT - the Monolith,” n.d.)) Crowding of scene beyond the limits of Euclidean space (users frequently wondering “How was I able to fit so much in my mind? I don’t see any space for my experience to fit in here!”) Reported similarity with fractals. Omnipresence of saddles making up the structural constraints of the hallucinated scenes. For example, one often hears about experiencing scenes saturated with: joints, twists, bifurcations, curved alleys, knots, and double helixes. Looking at self-similar objects (such as cauliflowers) can get you lost in what seems like endless space. (Note: beware of the potential side effects of looking at a cauliflower on DMT1). PSIS-like experiences(Emilsson 2016c) where people seem to experience multiple alternative outcomes from each event at the same time (this may be the result of “hyperbolic branching” through time rather than space). Psychedelic replication pictures usually include features that can be interpreted as hyperbolic objects embedded in Euclidean 3D(“Embedding a Torus (John Nash) - Numberphile,” n.d.). People describe “incredibly advanced mechanisms” and “impossible objects” that cannot be represented in our usual reality (e.g. Terence McKenna’s self-dribbling basketballs). At least one mathematician has stated that what one experiences

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text:
on DMT cannot be translated into Euclidian geometry (unlike what one experiences on LSD). We received a series of systematic DMT trip-reports by a math enthusiast and experienced psychonaut who claims that the surfaces experienced on DMT are typically composed of hyperbolic tilings (which imply a negative curvature; cf. wallpaper groups). This article goes beyond claiming a mere connection between DMT and hyperbolic geometry. We will be more specific by addressing the aspects of the experience that can be interpreted geometrically. To do so, let us now turn to a phenomenological description of the way DMT experiences usually unfold: The Phenomenology of DMT Experiences: The Six Levels In order to proceed we will give an account of a typical vaporized DMT experience. You can think of the following six sections as stages or levels of a DMT journey. Let me explain. The highest level you get to depends on the dose consumed, and in high doses one experiences all of the levels, one at a time, and in quick succession (i.e. on high doses these levels are perceived as the stages of the experience). If one takes just enough DMT to cross over to the highest level one reaches during

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text:
the journey for only a brief moment, then that level will probably be described as “the peak of the experience.” If, on the other hand, one takes a dose that squarely falls within the milligram range for producing a given level, it will be felt as more of a “plateau.” Each level is sufficiently distinct from the others that people will rarely miss the transitions between them. The six levels of a DMT experience are: Threshold, Chrysanthemum, Magic Eye, Waiting Room, Breakthrough, and Amnesia. Let us dive in! (Note: The following description assumes that the self-experimenter is in good physical and mental health at the time of consuming the DMT. It is well known that negative states of consciousness can lead to incomprehensible hellscapes when “boosted” by DMT (please avoid DMT at all costs while you are drunk, depressed, angry, suicidal, irritable, etc.). The full geometry is best appreciated on a mentally and emotionally balanced set and settings.) Threshold The very first alert of something unusual happening may take between 3 to 30 seconds after inhaling the DMT, depending on the dose consumed. Rather than a clear sensorial or cognitive change, the very first hint is a change in the

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text:
apparent ambiance of one’s setting. You know how at times when you enter a temple, an art museum, a crowd of people, or even just a well decorated restaurant you can abstract an undefinable yet clearly present “vibe of the place?” There’s nothing overt or specific about it. The ambiance of a place is more of an overall gestalt than a localized feeling. An ambiance somehow encodes information about the social, ideological and aesthetic quality of the place or community you just crashed into, and it tells you at a glance which moods are socially acceptable and which ones are discouraged. The specific DMT vibe you feel on a given session can be one of a million different flavors. That said, whether you feel like you entered a circus or joined a religious ceremony, the very first hint of a DMT experience is nonetheless always (or almost always) accompanied with an overall feeling of significance. The feeling that something important is about to happen or is happening is made manifest by the vibe of the state. This vibe is usually present for at least the first 150 seconds or so of the journey. Interestingly, the change in ambiance is shorter-lived

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text:
than the trip itself; it seems to go away before the visuals vanish quickly declining once the the peak is over. Within seconds after the change in ambiance, one feels a sudden sharpening of all the senses. Some people describe this as “upgrading one’s experience to an HD version of it.” The level of detail in one’s experience is increased, yet the overall semantic content is still fairly intact. People say things like: “Reality around me seems more crisp” and “it’s like I’m really grasping my surroundings, you know? fully in tune with the smallest textures of the things around me.” Terence McKenna described this state as follows: “The air appears to suddenly have been sucked out of the room because all the colors brighten visibly, as though some intervening medium has been removed.” Threshold enhancement. “Enhancement of Color” by “Chelsea Morgan” is licensed under CC BY-SA 4.0. On a schedule of repeated small doses (below 4 mg; preferably i.m.) one can stabilize this sharpening of the senses for arbitrarily long periods of time. I am a firm believer that this state (quite apart from the alien experiences on higher doses) can already be recruited for a variety of computational

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text:
and aesthetic tasks that humans do in this day and age. In particular, the state itself seems to enable grasping complex ideas with many parameters without distorting them, which may be useful for learning mathematics at an accelerated pace. Likewise, the sate increases one’s awareness of one’s surroundings (possibly at the expense of consuming many calories). I find it hard to imagine that artists will not be able to use this state for anything valuable. The Chrysanthemum If one ups the dose a little bit and lands somewhere in the range between 4 to 8 mg, one is likely to experience what Terrence McKenna called “the Chrysanthemum.” This usually manifests as a surface saturated with a sort of textured fabric composed of intricate symmetrical relationships, bright colors, shifting edges and shimmering pulsing superposition patterns of harmonic linear waves of many different frequencies. Depending on the dose consumed one may experience either one or several semi-parallel channels. Whereas a threshold dose usually presents you with a single strong vibe (or ambiance), the Chrysanthemum level often has several competing vibes each bidding for your attention. Here are some examples of what the visual component of this state of consciousness may look like:

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text:
2D Chrysanthemum “Brick flower” by “dynamosquito” is licensed under CC BY-SA 2.0. 2.5D Chrysanthemum “Sun Red” by “阿橋 HQ” is licensed under CC BY-SA 2.0. Chrysanthemum with multiple symmetry channels. The visual component of the Chrysanthemum is often described as “the best screen saver ever(“Neuroscientist Describes Her DMT Trip,” n.d.),” and if you happen to experience it in a good mood you will almost certainly agree with that description, as it is usually extremely harmonious, symmetric and beautiful in uncountable ways. No external input can possibly replicate the information density and intricate symmetry of this state; such state has to be endogenously generated as a a sort of harmonic attractor of your brain dynamics. You can find many replications of Chrysanthemum-level DMT experiences on the internet, and I encourage you to examine their implicit symmetries (this replication(“Descent into Madness,” n.d.) is one of my all-times favorite). In Algorithmic Reduction of Psychedelic States(Emilsson 2016a) we posited that any one of the 17 wallpaper symmetry groups can be instantiated as the symmetries that govern psychedelic visuals. Unfortunately, unlike the generally slow evolution of usual psychedelic visuals, DMT’s vibrational frequency forces such visuals to evolve at a speed that makes it difficult for

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text:
most people to spot the implicit symmetry elements that give rise to the overall mathematical structure underneath one’s experience. For this reason it has been difficult to verify that all 17 wallpaper groups are possible in DMT states. Fortunately we were recently able to confirm that this is in fact the case thanks to someone who trained himself to do just this. I.e. detecting symmetry elements in patterns at an outstanding speed. An anonymous psychonaut (whom we will call researcher A) sent a series of trip report to Qualia Computing detailing the mathematical properties of psychedelic visuals under various substances and dose regimens. A is an experienced psychonaut and a math enthusiast who recently trained himself to recognize (and name) the mathematical properties of symmetrical patterns (such as in works of art or biological organisms). In particular, he has become fluent at naming the symmetries exhibited by psychedelic visuals. In the context of 2D visuals on surfaces, A confirms that the symmetrical textures that arise in psychedelic states can exhibit any one of the 17 wallpaper symmetry groups. Likewise, he has been able to confirm that every possible spherical symmetry group can also be instantiated in one’s mind on these

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states. The images below show some examples of the visuals that A has experienced on 2C-B, LSD, 4-HO-MET and DMT (sources: top left(“Symmetry Stanford Vision and Neuro-Development Lab,” n.d.), top middle; the rest were made with this service(“PhiloGL - Wallpaper Groups,” n.d.)): 17 wallpaper symmetry groups Wallpaper symmetry chart (CC BY-SA 3.0) p1 pmm cmm pg p4 p3 p4g The Chrysanthemum level interacts with sensory input in an interesting way: the texture of anything one looks at quickly becomes saturated with nested 2-dimensional symmetry groups. If you took enough DMT to take you to this level and you keep your eyes open and look at a patterned surface(Emilsson 2015a) (i.e. statistical texture(Emilsson 2015b)), it will symmetrify beyond recognition. A explains that at this level DMT visuals share some qualities with those of, say, LSD, mescaline, and psilocin. Like other psychedelics, DMT’s Chrysanthemum level can instantiate any 2-dimensional symmetry, yet there are important differences from other psychedelics at this dose range. These include the consistent change in ambiance (already present in threshold doses), the complexity and consistency of the symmetrical relationships (much more dense and whole-experience-consistent than is usually possible with other psychedelics), and the speed (with a control interruption frequency(“The

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Control Interrupt Model of Psychedelic Action,” n.d.) reaching up to 30 hertz, compared to 10-20 hertz for most psychedelics). Thus, people tend to point out that DMT visuals (at this level) are “faster, smaller, more detailed and more globally consistent” than on comparable levels of alteration from similar agents. Now, if you take a dose that is a little higher (in the ballpark of 8 to 12 mg), the Chrysanthemum will start doing something new and interesting… The Magic Eye Level A great way to understand the Magic Eye level of DMT effects is to think of the Chrysanthemum as the texture of an autostereogram (colloquially described as “Magic Eye” pictures). Our visual experience can be easily decomposed into two points-of-view (corresponding to the feed coming from each eye) that share information in order to solve the depth-map problem in vision. This is to map each visual qualia to a space with relative distances so (a) the input is explained and (b) you get recognizable every-day objects represented as implicit shapes beneath the depth-map. You can think of this process as a sort of handshake(Alex and er 2016) between bottom-up perception and top-down modeling. In everyday conditions one solves the

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text:
depth-map problem within a second of opening one’s eyes (minus minor details that are added as one looks around). But on DMT, the “low-level perceptions” looks like a breathing Chrysanthemum, which means that the top-down modeling has that “constantly shifting” stuff to play with. What to make of it? Anything you can think of. There are three major components of variance on the DMT Magic Eye level: 1. Texture (dependent on the Chrysanthemum’s evolution) 2. World-sheet (non-occluding 3D1T depth maps) 3. Extremely lowered information copying threshold. Lobster Cone Furniture The image on the left is a lobster, the one on the center is a cone and the one to the right contains furniture (a lamp, a chair and a table). Notice that what you see is a sort of depth-map which encodes shapes. We will call this depth-map together with the appearance of movement and acceleration represented in it, a world-sheet. World-sheet 1 World-sheet 2 World-sheet 3 The world-sheet encodes the “semantic content” of the scene and is capable of representing arbitrary situations (including information about what you are seeing, where you are, what the entities there are doing, what is happening, etc.). It is common to experience scenes from

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text:
usually mundane-looking places like ice-cream stores, play pens, household situations, furniture rooms, apparel, etc.. Likewise, one frequently sees entities in these places, but they rarely seem to mind you because their world is fairly self-contained. As if seeing through a window. People often report that the worlds they saw on a DMT trip were all “made of the same thing.” This can be interpreted as the texture becoming the surfaces of the world-sheet, so that the surfaces of the tables, chairs, ice-cream cones, the bodies of the people, and so on are all patterned with the same texture (just as in actual autostereograms). This texture is indeed the Chrysanthemum completely contorted to accommodate all the curvature of the scene. Magic Eye level scenes often include 3D geometrical shapes like spheres, cones, cylinders, cubes, etc. The complexity of the scene is roughly dose-dependent. As one ups the highness (but still remaining within the Magic Eye level) complex translucid qualia crystals in three dimensions start to become a possibility. Whatever phenomenal objects you experience on this level that lives for more than a millisecond needs to have effective strategies for surviving in an ecosystem of other objects adapted to that level. Given

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