Presentation Given at the Centre for Psychedelic Research at Imperial College London by Andrés Gómez Emilsson (December 8th 2020)

 www.qualiaresearchinstitute.org

Transcribed with otter.ai. Edited for grammar and clarity by Mackenzie Dion.

Watch the talk on our Youtube channel.

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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 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 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. 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.

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. 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 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.

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. 

So what could it be? I’ll focus to a large extent on what we are going 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.

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. 

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 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.

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. 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. 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, 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?”.

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 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.

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.

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.

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.

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.

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. 

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.

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 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.

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.

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 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, 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. 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 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 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 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, 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.

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. 

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 described as a more pleasant sound.

When you add up all the harmonics, you get these interesting curves. The height here is the amount of dissonance. When you have a relationship of one to two, basically an octave, you have zero dissonance, and that feels really good. Now, music is very complicated. We have to factor in the boredom mechanism. If you just play the same octave over and over, you get bored, and there’s an inner sense of restlessness and dissonance. But if you just hear it for the first time, then there’s a super, super strong relationship between symmetry and valence.

These are just examples of a piano chord.

Dissonant sounds. I can send you a link to all of these sounds after the presentation*, but I have some links for a SoundCloud account where you can kind of get convinced that “Oh gosh, these are actually really bad sounds”. It’s not that I’m saying they’re bad. If you ask 100 people, like 99% of people will say they’re awful. 

Likewise, reverb basically symmetrifies any waveform. Reverb is almost kind of this hack that you take almost any dissonant sound and you add reverb to it and is going to sound a lot less bad, a lot less distracting, irritating, and so on. So this is comparing the sound of a baby crying, which by the way, like in our analysis, it shows that babies crying, it’s almost like their sound is optimized for dissonance. It’s almost kind of as dissonant as it gets for a sound made by a human. For good evolutionary reasons, it has to be distracting, and catch your attention, bring the desire to stop it. But you add reverb and to give you a sense, that’s like if the baby was in a huge cave, you get all these echoes averaging out the beat patterns. It sounds way better, way less distracting, probably not good from an evolutionary standpoint. But, it’s just a fascinating kind of transformation you can apply to any waveform.

And here, I just want to illustrate that valence can happen across the spectrum. So I also have this file**, and you’re welcome to listen to it after the presentation where you can have consonance anywhere in the spectrum, mixed in with dissonance anywhere in the spectrum, mixed in with noise anywhere in the spectrum. That ends up basically creating these very mixed states. 

So basically, when I say “Oh, I had a mixed experience, a mixed valence experience” that underdetermines what I experienced because we don’t know if the positive part was in the high frequencies or in the low frequencies. We don’t know that. That’s why the full picture of valence would also include the spectrum for positive, negative, and neutral valence. You can have high frequency pleasure, you can have low frequency pleasure, etc. So that kind of explains why there’s a tremendous diversity of possible mixed experiences even though ultimately they’d still come down to symmetry. Deep down, they can all still be explained with symmetry.

Now, endogenously generated symmetry, this is fascinating research. That when you have this “biorhythm coherence” you feel happier. And the way of computing biorhythm coherence is very related to musical consonance. Breathing entrained with heart rate variability is reported as giving rise to a just much, much better positive mood, and is one of the things that long-term meditation achieves. Meditation entrains these biorhythms and basically makes them interlock with one another. That is reported as giving rise to positive mood which is an interesting finding and very consistent with STV.

Here are just some quotes. Cool.

And you know, the heart palpitations. I mean, it’s similar to anxiety in that if you have like this usually regular metronome, and it’s failing, is generating these imperfections, that gives rise to unpleasant states of mind. I’m sure heart disease is terrible for your valence. Likewise, meditation is a wonderful tool for heart disease because it allows you to overcome those imperfections and still feel good despite the problem.

In terms of other endogenously generated symmetry, I will mention orgasm and flow. Orgasm is a powerful generator of endogenous resonance. It’s the entrainment of motor systems to near hallucinations, to synchronizing feedback processes across multiple functional networks. With an orgasm, there’s a deep, deep level of synchrony and symmetry across the nervous system. I highly recommend introspecting on this (not to get into your sex life or anything, though). I mean, it’s something you can actually pay attention to, and it becomes very obvious once you notice it. 

Likewise with flow, there’s this evidence that symmetry is deeply related to flow. Two physiological metrics for measuring flow are cortical muscular coherence and a degree of coupling between neural EEG waves and EMG oscillations of muscle activity. So, there’s also these interlocking patterns, lower information content, more symmetry. Yeah, it’s a strong predictor of flow. So like, hey, go figure flow is also symmetrical.

Okay, let’s get into the symmetry in the brain. So this is kind of the other projection you could take of the latent state. If you look at the central nervous system of high valence states, how does the valence show up? And, you know, meditation, like all over the place, basically pretty much any kind of meditation, if done for a long enough time, leads to some kind of EEG coherence. Whether it’s gamma coherence, delta coherence, or alpha coherence, depends on which kind of meditation you do. But they all generate some form of coherence, and coherence in EEG is intimately related with symmetry. I mean, basically, two signals are coherent when they’re both reflections of a shared signal through a reverb pattern, meaning that they’re encoding the same information just through a different filter, which is, again, deeply, deeply connected to symmetry. 

Here’s a fascinating study from 2019 that I recommend reading which to me was really stunning. It was stunning in just how clear the connection with the Symmetry Theory of Valence was. The study is about the EEG recordings of the first and second jhanas and the interesting patterns that emerged in them. One of them is this seizure-like activity. Now, seizure-like activity is three to five hertz, and it doesn’t have harmonic structure. I mean most seizures don’t have their harmonics together with them. But the type of seizure-like activity you see on jhanas does have harmonic structure. And the picture here is basically the Fourier transform of the independent components of the EEG recordings. You can see there’s a very clean 5.6 hertz signal, together with its harmonic of 11.23 hertz. This is kind of stunning. Why would this happen? And jhanas feel really blissful. Without the Symmetry Theory of Valence, this is just super surprising and strange. With the Symmetry Theory of Valence it’s like, “Oh, yeah, you’re, feeling a really great symmetrical attractor of your brain and sustaining it”. So that’s going to feel good. 

Even you know, ketamine showing high levels of a gamma coherence.

For 5-MeO-DMT, the only dataset I’m aware of, of EEG and 5-MeO-DMT, shows coherence across the spectrum, not only gamma coherence, but also beta coherence, and especially delta coherence. Again, why on earth? The Symmetry Theory of Valence would explain this. It would say, “Yes, this is expected”. Other theories might struggle a bit. Now, I’ve got to say that just because you have high coherence doesn’t mean it’s going to be high valence. We expect also very negative valence could also be high coherence. Except that when you have total coherence, then we expect that to be always positive valence. Again, it’s going to have that relationship because you could still have a high average coherence, but have half of your channels coherent in a certain frequency and half of the other channels coherent in a slightly different frequency. That might actually maximize dissonance. So just average coherence is not enough. You also need to tell whether it’s in harmonic structure or not.

Pleasure in the brain seems to be kind of this distributed effect that also from our point of view would mean it’s actually a whole brain phenomena. 

This is about what I was mentioning about the pleasure centers from our point of view. I mean, there’s this research of if you tried to synchronize clocks, and you tried to synchronize neurons, and you put them in a geometric grid. If it’s large enough, you’re not going to usually get full scale synchrony. You might have emergent patches of synchrony or traveling waves of synchrony. But if you also add these random connections across the network and reduce the synaptic path length, then you can unlock the ability for the entire network to enter synchrony. So we think of the pleasure centers as kind of these bridges that are, in a sense, lowering the average synaptic path length across your brain, and therefore enabling similar synchrony across the brain. And that’s the reason why we think the pleasure centers generally feel good when you activate them. 

Okay, getting to the end of the presentation. So I’ll just talk about a few near “enemies”. I put “enemies” in quotes, because we actually admire these people. They’re part of our research lineages. I think they’re a very, very key component of any good theory of consciousness. But I think when it comes to valence itself, there’s some explanations in the space that are really close to the Symmetry Theory of Valence, but they’re not exactly what we’re getting at. So there’s this whole account of computational efficiency. The brain likes computational efficiency, but in a sense, you still have to explain why the brain likes computational efficiency- what does this liking manifest as? We use this argument of “passing the bucket” which ideally your theory of valence should avoid. The theory should explain what valence itself is, not only when it gets triggered. These theories of computational efficiency, energy efficiency, we would claim, they’re telling you under what conditions positive valence gets triggered, but they don’t tell you what positive valence itself is. And that’s what the Symmetry Theory of Valence is getting at. 

So yeah, these are some of the issues with those, at least as complete theories.

Finally, okay, counter examples. There’s this whole theory I recommend reading called Neural Annealing (by Mike Johnson). But even very neutral energy that neither has harmony or dissonance, can still give rise to very positive feelings because it can give rise to this annealing process. And that’s actually what we believe is going on with psychedelics. Psychedelics gives you what Mike would call semantically neutral energy. And that gives rise to basically this entropic disintegration, a term from Robin Carhart-Harris and the entropic brain hypotheses, which then gives rise to kind of this search, or self-reorganisation that basically will settle on these basins of symmetry. And it’s those that feel good, not the energy that feels good. It is the end result, the attractor that it takes you to.

And this explains, I think, why even somebody can like hot sauce. Hot sauce is kind of this unpleasant stimuli, but it can lead to euphoria. It can lead to this heightened state of energy. If you introspect on the euphoria of hot sauce, it’s not the unpleasant pain in the mouth, it’s that it raises all of your energy, your entire amount of the intensity of your consciousness. You can then notice these resonant waves, and it is those resonant waves that feel good, not the hot sauce itself. So there’s this kind of a step that basically separates one from the other.

I’ll just very quickly, briefly describe one way we’re trying to test the Symmetry Theory of Valence. It is not the only way to test it. I would even argue that, you know, the argument that I here presented is itself a potentially strong argument. But ideally, you know, we generate novel predictions. And this is one of them, which is that we basically expect that the very positive states of consciousness will have a harmonic relationship, basically a consonant relationship between the brain harmonics. Yeah, using the work of Selen Atasoy.

This algorithm of quantifying the amount of consonance in brain harmonics, which is something we were working with, and hopefully will get resolved soon.

We anticipate that, again, if this is true, the Symmetry Theory of Valence would be validated. If it’s not, it doesn’t invalidate it, because there’s many ways in which it can manifest. But when you have harmonics that are in a consonant relationship with each other, and those are the main drivers of your experience, we expect that to be pleasant.

That is, euphoric.

Whereas, when you have harmonics that are dissonant with each other, they generate these intense beating patterns. So we expect that to be described as unpleasant. Again, we don’t know, but we want to check if this is true. 

Just a couple testable predictions based on this, which is that we expect psychedelics to enhance the range of valence. Basically, psychedelics enhance energy across the board. Just all of the harmonics have more energy. We expect that some of those combinations will be just very consonant and reported to be very pleasant, some of those will be very dissonant, reported to be unpleasant. Then SSRIs, there’s a lot of research on SSRIs and their blunting effects. They cut the extremes of valence. So, we expect when it comes to harmonics that the SSRIs will be more noisy, less consonant, less dissonant. MDMA, we expect it to be a stable attractor of a few resonant modes that are very consonant with each other. Stimulants would be kind of high frequency consonance. Opiates would be low frequency consonance. Again, this idea that you can be in a good state leaves underdetermined whether there are symmetries in the high frequencies or the low frequencies, and this would disentangle these types of mixed experiences.

These are the last two or three slides which is kind of a case study which is SSRI’s. Roughly speaking, we interpret them as being noise inducers which is why things like orgasm on SSRIs are less intense. Crying is hard. I mean, crying itself is a kind of a dissonant and sometimes consonant, kind of resonant state. On SSRIs you feel kind of spaced out and music enjoyment goes down. So yeah, the way we think of SSRIs is that they’re almost kind of like listening to a white noise machine along your life, so it’s gonna cut off the extremes. It’s gonna blunt both very positive and very negative valence, and it’s gonna just kind of center you in neutral valence.

Whereas psychedelics, they basically kind of purify and intensify your harmonics. And in that sense, you get to have more pleasant and more unpleasant states and both extremes.

Just to remind you: introspect. I compel you, next time you’re on a psychedelic having a mystical experience, introspect on the quality of space and time. I suggest that you will probably be experiencing these kinds of beautiful ripples that are in a harmonic relationship to each other. Please email me if this is true or not true. But that’s the experience so far. And that’s the reason why this can feel so amazing.