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The Symmetry Theory of Valence 2020 Overview Andrés Gómez-Emilsson ../people/andrés-gómez-emilsson (Qualia Research Institute)https://www.qri.org/ Dec, 17 2020 Contents Core Affect The Symmetry Theory of Valence What is Valence? Bliss Valence vs. Healing vs. Meaning A Factor for Awakening Recipe vs. Review Information and Valence Phenomenology Healthy Skepticism of Phenomenology Massage vs. Bodily Pain Anxiety vs. Relaxation Non-Adaptedness Principle Exotic Valence Symmetry in Stimuli Auditory: Harmony and Rhythm Endogenously Generated Symmetry Symmetry in the Brain Jhanas Ketamine 5-MeO-DMT Near “Enemies” Counter Examples? Possible Way to Test STV? The Steps of the Algorithm Testable Predictions SSRIs as Symmetry Reducers Psychedelics as Symmetry Enchancers The Future of Mental Health: Personalized Harmonic Re-Tuning Tags Core Affect So, the Symmetry Theory of Valence. Just defining terms so that we’re all on the same page. There’s this thing called core affect which is basically what you get when you apply dimensionality reduction techniques to any one of many areas of psychology. There’s a surprisingly robust pair of dimensions that emerge in co-occurrences of words or even descriptions of behavior. These two axes, arousal and valence, seem to account for about 60% of the variance in terms of what information emotional words contain. And I mean, roughly speaking, arousal is the level of activation, how energetic you are, and valence is how good you feel. Most of what I’m going to be talking about is valence. That said, you need to also consider arousal in the picture to know what this is all about. Just a few examples: you have high arousal, high valence, so that would be kind of excitement and anticipation. But you also can have high energy, but not feeling really good, and that would be kind of anxiety or anger or irritation. Likewise, you have depression, which is low arousal, low valence, and serenity is peaceful, blissful calm, that would be low arousal, high valence. This is just one example of one of the ways in which you can recover these dimensions of valence and arousal. This(Gómez-Emilsson 2015) was a little study we conducted years ago. We were studying people who have experiences with all kinds of substances online. We were giving them the survey, where they were going to describe a particular substance along something like 70 different dimensions. Then I conducted factor analysis on that data set. Interestingly, we have three core dimensions of valence or valence-related axes, which give you a sense of, okay, what is the space of possible effects that you can get from some substances. There were actually six dimensions that emerged, but three of them are valence-related: We have slow euphoria, which is equivalent to low arousal, high valence with top terms like calming and relieving. The negative predictors of it would be something like anxiety, producing difficult bodily discomfort. Fast euphoria is the sort of thing you get with stimulants, you know, energizing, sociable, the opposite of feeling spaced out and confused. The other axis that kind of emerged was this notion of spiritual euphoria. That’s

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the term I used back then. I also used the term significance, or saliency nowadays. Now I would actually use the term criticality for other reasons that we can go into. There’s this other kind of axis for how you can experience intense valence with substances, which is different from slow and fast euphoria, which would roughly correspond to the psychedelic space. And that, you know, gets marked with things such as mystical, incredible, life changing. The opposite of that is trivial, self-centered, or irrelevant or something like that. This is just to complete the cube. And, you know, in a sense… This is just a kind of change of basis, where you still get, in a sense, the valence dimension emerging out of this dimensionality reduction analysis. If you were to apply just one dimension, you know, if you ask the factor analysis to just give you one factor, it is going to be the valence factor. That’s the axis that accounts for most of the variance for the effects of drugs. I’ve got to say that I absolutely acknowledge that emotions are far more complex and intricate than just valence and arousal. This is the result of my master’s thesis where we were analyzing this thing called mood updates, how people feel over time, day after day. I was computing the transition probabilities between emotions, and you can do cluster analysis here and finding attractors. You’ll see that there’s additional information. That said, we concluded that a big chunk of the additional information that is not valence and arousal is actually information about your trajectory in the valence arousal space(Gómez-Emilsson 2016b). For example, we found there would be emotions that because of what they tell you about your emotional dynamics we called gateway emotions, like feeling relieved and feeling hopeful. These terms contain information that you were in a negative, kind of depressive attractor, and you’re moving towards the positive high arousal attractor. In essence, the terms we use for emotions give you not only information about where you are in the valence-arousal space but also what is your trajectory in that space. But in a sense, valence and arousal still account for a very, very big chunk of what an emotion is. Okay, so hopefully I’ve convinced you of the importance of valence, at least in this context. The Symmetry Theory of Valence Now, let’s jump into the Symmetry Theory of Valence (STV). The overall hypotheses and the first explicit argument for it appeared in this really, really awesome work by my collaborator, Michael Johnson, Principia Qualia(Johnson 2016). He has a really interesting skeleton of an argument that points to a lot of research threads that are really worth getting into. I highly recommend digging into this work. One of the things that it lays out is the kind of conceptual framework to make sense of what type of thing valence might be. I’ll just define a couple terms, which is, first qualia formalism. If there’s one

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text:
thing at QRI we are married to, you could say, it would be qualia formalism. That is, for any conscious experience, there exists a mathematical object isomorphic to it. We can make an analogy here to something like electromagnetism where we used to have lightning, and electricity, and magnets, and all of that seemed sort of somehow thinly related. But, it turns out that there’s actually just four equations of electromagnetism that tie together all of that phenomena. And you can compare it to something like élan vital, the essence of life. People used to think that maybe there is some kind of a substance that determines whether you’re alive or not. And we would say that, well, that kind of fell through, you know, in the end there is molecular complexity under more molecular complexity. There doesn’t seem to be such a thing as “life itself”. Life is not formalizable in the same way as electromagnetism is, but something that we would claim at QRI or we could even say something that we assume at QRI, because we believe it is a very generative frame, is that yes, there will be a set of deep mathematical structures to consciousness. In particular, if you expand this into other areas, we also think this is going to apply to valence: that there is going to be a deep and rich mathematical structure to valence, and that notion is called valence structuralism. In Principia Qualia by Mike Johnson, he has this argument for it, which I definitely recommend reading, especially if you have the aesthetic of a physicist. I think you’ll really like this work, because I think it’s really, really good in that sense. What I’m going to do now is try to give you a kind of intuition for it. And then the whole empirical argument. What is Valence? Importantly, there are a lot of theories of what valence is. Mike looked at the literature, did a very deep dive into it, and realized that they’re usually unsatisfactory, or at the very least, they don’t get at the true core of what an explanation for valence should be like. So basically, you have these accounts of, for example, valence sees how the brain represents value. Ultimately, that’s just a correlation. Value is a fuzzy abstraction. Some people think valence is the presence of opioids in the brain. But if you inject opioids in different parts of the brain, it doesn’t always feel good. It actually needs to be injected in a very narrow range of stripes in the pleasure centers, and otherwise, it just causes strange feelings or wanting, but it’s not the signature of valence itself. Or, for example, the pleasure centers. Just because you’re calling something “the pleasure center”, and it’s correlated with feeling good, it doesn’t mean you have an explanation. It’s not a very insightful, illuminating, account of valence. Bliss So what could it be? I’ll focus to a large extent on what we are going

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text:
to call bliss, which is just very positive valence. What is that? What is very positive valence? What is the sense of ecstasy, bliss, intense happiness? There’s a lot of intuitions. Definitely a lot of people think it’s some kind of spiritual signal, and I wouldn’t want to convince you out of that view. But the truth is that there are a lot of different spiritualities, and they sometimes say contradictory things. So it’s kind of strange to expect that there’s this underlying universal spiritual signal that whenever you’re doing something aligned with spirit, you feel good. Because sometimes you can do something very different than somebody else and still have that feeling. Also, the idea that it is “merely” chemical reactions in the brain, again, is not a super satisfactory explanation… same as with pleasure centers, health, few prediction errors, etc. Well, and in the end, I add, yes, symmetry and consciousness, which is what I will be arguing. Valence vs. Healing vs. Meaning I also want to point out, and this is super important, that valence is not the same as healing, and it’s not the same as meaning. However, they’re correlated. I would also go as far as to say that high valence is necessary for healing and for meaning to a large extent. In a sense, you can have a lot of very high valence states that are actually very unhealthy for you. Just an example would be methamphetamine. It can feel great, but it’s unsustainable. To the extent that your nervous system is self-organizing around that high valence experience, it makes it kind of the center of your life. And, you know, it’s a dopamine releaser. It’s obviously unsustainable. You can’t actually do that long-term and expect good results. Whereas, something like meditation, or even psychedelics, because their tolerance mechanism is very, very different. You could say that, yeah, those might be high valence, highly meaningful, and also healing experiences. So I just want to say that, you know, high valence doesn’t entail healing. And that in that sense, you might say, “Okay, why are we so interested in this?”, but I would say that high valence is a necessary condition for deep healing. And I would even go as far as to say that, for a psychedelic experience to be deeply healing, it has to involve high valence in one context or another. Of course, you may end up processing a lot of very difficult emotions. But ideally, it would be something that basically allows you to heal those difficult emotions and transform them into a state of mind that has many more of the positive qualities. A Factor for Awakening And more so, high valence, even according to the Buddha, is an important factor for awakening. Of the seven factors for awakening, I would actually say about five of them are very connected to valence. Mindfulness, joy, relaxation, concentration, equanimity; they are kind of different flavors of high valence. They’re different ways in

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which a very high valence experience can manifest. The Buddha says that these are important things. Even if you only care about awakening, enlightenment, you may also care about the mathematics of valence. It might point you in the right direction as well. Recipe vs. Review I’ll also mention, there’s a big difference between the recipe of a state of consciousness and what you might call the review, or the description, of that state of consciousness. I’ll make an analogy with cooking: if you have cooking instructions for how to make a cake, sometimes it’s very counterintuitive what the cake is going to taste based on those instructions. Like “add yeast” for example. A lot of things in the recipe you may not know exactly how are going to actually affect the result. So, the recipe may look very different from the review of the state. I would say that for a lot of meditation states, or even just general life advice, this idea of don’t mindlessly chasing pleasure or trying to satisfy all of your existing desires compulsively gives counter-intuitive results. Yeah, chasing pleasure compulsively is not going to result in a sustainable high valence. To some extent, a lot of meditation instructions tell you to neither approach nor withdraw from emotions to develop equanimity. Since you are not engaging with your emotions, it sounds like the result is a fully neutral experience, right? It sounds like it’s unrelated to valence, almost cutting out the valence. But I would say: that’s just the recipe. Those are the instructions for how you manage your attention in order to eventually change your brain to actually generate these very healthy, sustainable, high valence states. So I definitely want to overcome this prejudice of thinking that high valence is unrelated to spirituality. No, I think they’re actually very deeply, intimately connected. Okay, so let’s go into the Symmetry Theory of Valence. I’ll just read these, but we will go into more depth into all of these. So, you know, we talked about qualia formalism, there is a mathematical object whose features are isomorphic to phenomenology. We believe that, yeah, harmony basically feels good because it’s symmetry over time(Gómez-Emilsson 2018). And basically, there’s kind of this duality between symmetry and space and synchrony in time. We will go over pleasure centers. The way we explain pleasure centers in this theory is that they are kind of tuning knobs (this was first proposed in Principia Qualia). They are there these bridges that, basically, when they get activated, they enable global large-scale synchrony in the brain(Gómez-Emilsson 2020). This is something that ultimately is very testable. Because if you can activate the pleasure centers, or inhibit whole brain harmony, we predict that’s going to actually negate the positive valence effects of the pleasure centers. Likewise, if we can induce large scale harmony, without activating the pleasure centers, or maybe even inhibiting the pleasure centers, we expect that to be a high valence state. So, it’s a cool,

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text:
testable interpretation of what pleasure centers even are. Boredom is kind of an anti symmetry mechanism. So that’s why even if you look at a cathedral or something like that, you’re not going to be happy forever. You’re going to be happy for a little bit. Because your brain realizes that you’re not learning anything, and adds kind of this dissonance in order to make you move on to something else. We are wired in such a way that what helps us reproduce symmetrifies our consciousness. So, it’s not that high calorie food in and of itself is symmetrical, it’s not that it in and of itself is pleasant. It’s more that the way our nervous system is programmed is such that when you eat high calorie food, it triggers high valence. And that triggered high valence is what would be symmetrical, not necessarily the chemicals that you’re eating. Importantly, valence, we think, has these three dimensions, which is positive, neutral, and negative. And you can actually have highly mixed experiences. You can have experiences, I don’t know, an example is you’re at a concert, enjoying yourself, but also you have to go to the bathroom, and you just broke up with your boyfriend. You can have these very complex mixed valence experiences, where parts of your experience are very pleasant, parts are very distressing, parts of those are very neutral, and that’s fine. At the same time, it still kind of collapses into this ultimately, “Hey, are you having a good time or not?”. Information and Valence And something that the Symmetry Theory of Valence would say, and this is a pretty interesting kind of relationship, and I’ll explain it in a couple slides. This is just to kind of put it out there in your head to bounce around as we go on, which is that we expect there to be a very, very intimate relationship between information content, and basically the range of valence that you have access to. So in brief, for very, very high valence states of consciousness, we expect those to have very close to zero information. Whereas, when you have this state that is close to pure white noise, we expect that to be basically zero valence. Hopefully, this will make more sense as we go along. These are just some illustrations of this principle. Actually, we expect that some of the most negative experiences out there will actually be pretty close to very, very highly symmetrical. I put this disjointed lattice at the bottom. And I would claim that something like a bad 5-MeO-DMT experience is actually something that is very regular, except for some strange disjoints, or imperfections, that cause profound dissonance. Whereas, if you’re in the pure noise kind of range, it all feels blah, it all feels really close to neutral. When we say the state of consciousness is highly symmetrical and such, you know, let’s say, 5-MeO-DMT, or jhanas, or something like that, we expect these to actually

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text:
show up in many ways. If you look at the biorhythms, like heart rate and breathing, that’s going to show up, symmetry is going to show up in some ways, being a different kind of projection of the latent state. I mean, ultimately, the formalism, you know, this mathematical object corresponds to consciousness is not observable directly, at least not right now. So we have to kind of rely on these projections, these interpretations of what’s going on, these ways of getting at this unobservable, underlying state. And EEG, connectome harmonics, biorhythms, and so on, are different ways of getting at it. I’ll show you at least empirically that it’s all so far consistent with the Symmetry Theory of Valence. Here’s kind of the big plan. All of these different projections of this underlying state. So we have basically this stimulus. These are kind of visualized also to give you an intuition. So there’s stimuli, basically more symmetrical stimuli with higher valence, then there’s the endogenous bodily state, you know, biorhythms, as well. The CNS State, the actual, okay, what’s going on in your brain, then the formalism, and then the phenomenology of valence. When you have high valence, we expect (and what we see is) that there’s symmetry all across the board, in each of these different ways of looking at the state of consciousness. In each of these projections of the latent state. Phenomenology So I’ll go on and start with phenomenology. I know that phenomenology is such a tricky thing. It’s so difficult to do, right. It’s so difficult to do. You make a lot of mistakes in phenomenology, get confused, and become self-deceived. So I mean, hopefully, the observation I’ll relate to you is going to show you that at least we’re taking care of some of the failure modes of phenomenology. Healthy Skepticism of Phenomenology So, first of all, we distinguish between intentional content and phenomenal character. So, if you smoke DMT, and you experience, you know, you say something like “I saw a dragon with my own eyes” that doesn’t mean there was actually a mind-independent dragon out there. And, you know, I take seriously your report that you saw a dragon, but I don’t know how significant that is necessarily. On the other hand, if you describe “Oh, and by the way, the dragon had scales that had a symmetry group of what’s called the glide mirror symmetry group, and it had a 17 hertz strobing effect“. Okay, yes, so we’re getting more into the phenomenal character. You’re actually describing what it felt like, not only what it was about. I would make the claim that these observations of symmetry being related to valence are about the phenomenal character. I don’t care that much about, you know, “What was the journey? What was the content of the experience?” I care more about what it felt like, what are the features of it, and what we observe is that there’s a deep connection here.

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text:
Massage vs. Bodily Pain So I’ll just give you some examples. Basically, introspect. You know, the difference between massage and bodily pain. Massage is kind of this very, very pleasant, harmonious, tactile pattern throughout your body that gives you these very nice waves of pleasure, as opposed to bodily pain. Bodily pain, if you introspect on it, it’s almost kind of like there’s like pinch points and discontinuities and fragmentations and deformations in your sense of self and the continuity of your skin or your felt sense of your inner organs. Basically, I would make the claim that bodily pain always manifests in one way or another as a kind of symmetry breaking operation. Now, definitely keep this in mind if you ever have a pain again, hopefully not. Anxiety vs. Relaxation Also, let’s say anxiety versus relaxation. Anxiety, you could almost describe it as, constant prediction errors. “Oh, did my heart do something strange? Is my leg positioned properly?”. It’s a state of mind where all of these little imperfections bubble up to your awareness. I would say it’s interrupting the flow of your attention and creating these pinch points and deformations in the way you experience the world. As opposed to relaxation, where you’re almost kind of just completely melted into it. And it’s so regular, you can almost filter out most of your bodily sensations. And in that sense I would argue it has a very symmetrical quality. Non-Adaptedness Principle There’s also this whole argument Mike brings up which is the phenomenology concerning non-adaptiveness, the non-adaptiveness principle, which is that basically, there’s a bunch of things out there that feel really good, but that weren’t in our evolutionary environment. Those are hints; we consider those hints that hey, if something wasn’t in the African savanna but feels great, it probably means that it’s kind of directly hacking into the patterns of valence somehow. We didn’t evolve to filter those out or to not get absorbed by them. And yeah, here are some examples, but I’ll go deeper into those. Exotic Valence Now, there’s also this exotic valence. Bodily pain, anxiety, relaxations: those would be examples of “normal valence”. It’s the valence that we’re all used to. But I would say that also in “strange valences”, like valences in weird states of consciousness, they also follow this pattern. That in some sense, symmetry explains their pleasantness. And I’ll give you some examples. Music In Dreams So, dream music. I’ve had the pleasure or displeasure, you could say, of having had a lot of sleep paralysis and lucid dreams, and this effect is something you can experience in either sleep paralysis or lucid dreams. If you’ve had a lucid dream, where you were making music, or you heard, you’re hallucinating that there was a radio playing, you will notice that, “Oh my gosh, the music can be beautiful, like… incredible”. And this music, maybe you have heard it before, maybe not. Maybe your brain is generating it on the

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fly. But it has a quality to it that is extraordinarily hedonic and pleasant. And I remember studying this on myself over many lucid dreaming experiences. At first, I thought, “Oh my gosh, my brain is just unlocking this ability to create awesome harmonies and melodies”. But then I ended up realizing that even if I just make a kind of an “om”, this meditation sound, even though that sound is extremely simple, the quality of the sound in the lucid dream is profound. I mean, it’s almost kind of a surround sound, like 360 surround sound, and stereoscopic and full of reverb and richness. I would claim that it’s actually because, during a dream state, your brain is more resonant. You can kind of enter into these very, very resonant attractors, and it’s that quality that makes the music so compelling, not the melody. If you transcribe the melody, the melody may not be very significant. It was how it sounded that was so profound in the music in the dream. Meditation Then you have meditation. Even these images, maybe, I don’t know if this is cheating, but representations of meditation, like high attainments, and so on, they usually come with these beautiful symmetries and whatnot. If you examine the phenomenology of jhanas, how they’re described, there seems to be kind of this projection of less and less information content in your experience. Going from having all of your attention concentrated in one point to then the experience of completely perfectly smooth, boundless space to then just pure consciousness, and then the experience of neither nothing nor something. In a sense, that’s kind of approaching the limit of zero information. And then people report these jhana experiences, they’re not pleasant in a conventional sense. It’s not like eating ice cream or something like that, but they’re still very, very high valence. They’re blissful, in an exotic way. But, I do want to point out that there’s this fascinating, strange relationship here between low information content and the blissfulness and the healing quality of the state. Psychedelics And then there is exotic valence from psychedelics. I mean, again, I don’t want you to focus on the intentional content, what was the experience about. What you thought, of course, can influence your valence, but it’s more about the phenomenal character. There’s this phenomena of tracers, you move your hand around, and you see copies laying around, and in a sense, it’s giving a temporal depth to your experience. It’s almost kind of adding a new dimension of time, where qualia can pile up. And usually, if the trip is good, you’ll notice that these tracers are in a harmonic relationship(Gómez-Emilsson 2019) with each other. That is kind of the essence of what makes them feel so good. Likewise, there’s a psychedelic texture repetition. You stare at a piece of grass on LSD, and it starts to symmetrify. And I would totally say this is exotic valence because you ask the person,

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text:
and they will say “the ground was symmetrifying, and I don’t know why, but it was awesome”. There was something really cool about it, and why would that be? Our interpretation here is that psychedelics are, in a sense, unlocking the valence capacity of your visual cortex. It’s kind of transforming your cortex into a pleasure machine, basically allowing it to exhibit these profound symmetries, and that is what actually is making them feel so compelling. People will struggle to explain “Why were the visuals cool? Why were they interesting?”. When it comes down to it, I think it is the symmetry. Interestingly, these are called the wallpaper symmetry groups. There’s 17 possible ways of tessellating a two dimensional space. From subjective reports, we know that any of these can be experienced on a psychedelic(Gómez-Emilsson 2016a). The ground, kind of chaotically, will arrive at one attractor of symmetry. It could be any of these 17, and they all feel great. They’re all extremely aesthetic and beautiful and blissful in one way or another. But it’s kind of a testament to just how general this effect is. I would make the claim, and this is obviously a strong claim, but it matters for something like therapy, psychedelic therapy. We recently saw this fascinating research on psilocybin for major depression, and that a lot of these effects are mediated by whether you had a mystical experience or not. I would say that if you did have a mystical experience, and it was healing, I would bet that while you were having that experience, the sense of space and time was basically extremely, extremely symmetrical. And here is kind of why it’s so confusing. Because you come back and you say, “Well, I saw Jesus”, and you think that you got healed because of Jesus. I don’t want to dissuade you from that view, but I would basically ask you “Okay, but when you experienced Jesus, what was the feeling of space and time?”. They might say something like, “Oh, it had a beautiful light. It had this beautiful harmony and rainbows”. And I’ll claim that if you introspect on them then that it’s actually the quality of phenomenal space and time that is healing and blissful. The meaning, the religious meaning, is something that is helping your mind basically concentrate on that space, and take it seriously as a way of propagating this negentropy in your nervous system. Now, another place where this shows up super, super clearly, phenomenologically, is on DMT. I definitely recommend this article we wrote(Gómez-Emilsson 2016c) that basically charts the DMT space. You can know a lot about where you are in the DMT space by describing what is your energy level on the one hand, and then what is the information content on the other. I would say DMT states that have close to zero information content would be kind of these geometric, perfectly repeating, symmetry groups, either 2D or 3D. Whereas, more chaotic states would be

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text:
kind of in the middle. The energy level would be a matter of dose. The “height” you reach is very, very dose-dependent. But then the valence, I think it’s very, very dependent on actually where in the axis of information content you find yourself in. Here again, there’s this diagram that the most blissful experiences you may have on DMT are going to be on these kinds of honeycombs and perfectly symmetrical patterns. The most unpleasant experiences are going to be just right next to those, they are going to be kind of dissonant honeycombs. Whereas you know, when you get to complex narratives, like machine elves and alien realms and all of that stuff, those experiences would be very mixed in their valence. There’s both dissonance, consonance, symmetry, anti-symmetry; those are very complex experiences. Now, the information content, we think of them as basically attractors in feedback systems. You may end up in a chaotic attractor, you may end up in a limit cycle or a fixed point. And that will determine how much information content the state has. Interestingly, this also can be used to describe the difference between DMT and 5-MeO-DMT. We think DMT tends to have a lot more information content. So you have these very rich patterns, and I would say competing synchronies. On DMT, there’s all of these slightly different frequencies that are competing for your attention and creating a narrative out of that. That is like a very mixed experience; it is both blissful and distressing at the same time. Whereas 5-MeO-DMT, which is described as far more powerful emotionally, tends to give you this sense of pure space, like the feeling of the insight into emptiness, the feeling of infinite boundless consciousness, very little information content. Yet, it’s so emotionally impactful to such an extreme extent. Interestingly, I would say, the reports do come out that on 5-MeO-DMT, you may have the best experience of your time, or you may have the worst experience of your life. It’s kind of bimodal. It’s either amazing or it’s extremely bad. Often, it starts out really bad and then it gets amazing. I would describe that in terms of kind of this annealing process(Gómez-Emilsson 2021) where it basically starts with dissonance, and, over time, things synchronize, and you do end up where all of your nervous system is entrained to the same frequency, and that feels very, very blissful. Whereas DMT is always kind of in this mixed state. It is very difficult for DMT to be pure negative or pure positive. It’s always this mixed state. So I would say, yeah, this is kind of the phenomenological case for the Symmetry Theory of Valence. I’m two thirds of the way through the presentation. I’m just gonna walk you through the empirical evidence. So we were talking about phenomenology; that’s one of the projections of this formalism and its symmetry. There’s symmetry in the formalism. It’s gonna manifest in some forms of phenomenological symmetry. Likewise,

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you know, if you use external stimuli in order to generate a state, like, let’s say, watching a movie, playing music, playing stroboscopic stimulation, there’s a lot of evidence that indicates that the symmetry of the stimuli is the leading factor for how pleasant or unpleasant the resulting state is. We have all of this research in vision. These are just some examples. It’s so stunning, right? Even if you know the effect, you still get the valence response. You go to a cathedral and think “Okay, I’m not gonna get high valence, I’m not going to get high valence”. You still get the response. It’s pretty automatic. As long as it has this rich, deep symmetry, oftentimes, it’s going to be very beautiful. There’s something very compelling about this. Just some random pictures to give you a sense of this. Why does this feel good? It really has very little to do with our ancestral environment. Symmetry in Stimuli (Cárdenas and Harris)(Rhodes et al. 1998) Anyway, this is such a robust effect that, with the symmetry of faces, for example, even face paint can be used to modify the valence. So, if you don’t have a perfectly symmetrical face, but you add symmetrical face paint with beautiful patterns, you’re going to be judged as more beautiful. It’s just such a strong effect, that it can actually modify your perception of how beautiful somebody is. Likewise, if you add asymmetrical patterns, you look less beautiful. Now, this, I wouldn’t say this is that strong of evidence because this actually does have an evolutionary reason. Symmetry in faces is a marker of mutational load. So I don’t put that much stock in, symmetry of faces being that relevant. But symmetry in other forms is where I think it’s so stunning. Auditory: Harmony and Rhythm (Bravo et al. 2017)(Blood et al. 1999)(Costa, Caramazza, and Sebastian-Galles 2000)(Plomp and Levelt 1965)(Trainor and Heinmiller 1998) You also see this in symmetry in audio, basically, regular rhythms. Harmony is the leading predictor for whether a sound is going to be pleasant or unpleasant. You know, this is Helmholtz’s big idea. He was the first one to figure out why playing two notes in a piano that are one semitone apart feels unpleasant. It’s because the harmonics are basically within what’s called the critical window. They generate beat patterns and the beat patterns can be described as basically symmetry breaking operations in the waveform. Those symmetry breaking operations, in essence, cause irritation. So basically, the more beating there is in sound, and the more beating across the spectrum, the more irritating and distracting and rough the sound is going to sound like. Whereas, when you have these harmonic relationships, you play one note, one piano note, and another at an octave of difference, the harmonics line up perfectly. Actually, the sound is very compressible because you don’t have this extra information of where all the other harmonics lie. They’re just the harmonic sequence. And that is universally

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