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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 presentation1], 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 file2, 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.

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text:
Deep down, they can all still be explained with symmetry. Endogenously Generated 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. (Tiller, McCraty, and Atkinson 1996)(Steffen et al. 2017)(Courtney, Cohen, and Dixhoorn 2011)(McCraty et al. 2009) (Shah et al. 2013)(Buckley and Shivkumar 2016)(Lampert et al. 2002)(Ziegelstein 2007) 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. (Safron 2016)(Cheron 2016) 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. Symmetry in the Brain (Lee et al. 2018)(Martínez Vivot et al. 2020)(Lutz et al. 2004)(F. Travis 2001)(Fred Travis et al. 2002) 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

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a reverb pattern, meaning that they’re encoding the same information just through a different filter, which is, again, deeply, deeply connected to symmetry. Jhanas Here’s a fascinating study from 2019(Dennison 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. Ketamine Even you know, ketamine showing high levels of a gamma coherence. 5-MeO-DMT (J. Tomarkenand and Keener 1998) 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. (Kassam et al. 2013) 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

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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. Near “Enemies” (Clark 2013)(Schmidhuber 2009)(Salek-Haddadi, Lemieux, and Fish 2002) 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. Counter Examples? Finally, okay, counter examples. There’s this whole theory I recommend reading called Neural Annealing. 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

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text:
hot sauce itself. So there’s this kind of a step that basically separates one from the other. Possible Way to Test STV? 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(Atasoy, Donnelly, and Pearson 2016). The Steps of the Algorithm 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. Testable Predictions 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. SSRIs as Symmetry Reducers 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,

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text:
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. Psychedelics as Symmetry Enchancers 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. The Future of Mental Health: Personalized Harmonic Re-Tuning The future of mental health, ideally, would be that we can identify, “what are the sources of dissonance in your nervous system?” and then find the shortest path to the smallest change possible that will give rise to sustainable consonance in your nervous system. Whether this is going to be with meditation, a psychedelic session, or yoga, or biofeedback will be person-specific. There’s probably a shortest path from a highly dissonant dysfunctional state to a sustainable consonant state for each person. And with that I just want to say thank you to other people in the team of QRI. And thank you, Robin, Shamil, and all of you guys for attending this presentation. And to the Centre for Psychedelic Research for hosting this presentation. Special Thanks to: Mike Johnson who initiated this research direction and has been deeply involved in it for years. To Andrew Zuckerman, Quintin Frerichs, Kenneth Shinozuka, Sean McGowan, Jeremy Hadfield, and Ross Tieman for their contributions to the current work this year. To everyone in the team for their help, support, and love. To Mackenzie Dion for editing an otter.ai transcription of the presentation for grammar and clarity. To our donors for their incredible help. And to you, dear reader. Thank you! Tags Consciousness, Psychedelic, STV, Valence, Neuroscience Atasoy, Selen, Isaac Donnelly, and Joel Pearson. 2016. “Human Brain Networks Function in Connectome-Specific Harmonic Waves.” Nature Communications 7 (1): 10340. https://doi.org/10.1038/ncomms10340. Blood, Anne J., Robert J. Zatorre, Patrick Bermudez, and Alan C. Evans. 1999. “Emotional Responses to Pleasant and Unpleasant Music Correlate with Activity in Paralimbic Brain Regions.” Nature Neuroscience 2 (4): 382–87. https://doi.org/10.1038/7299. Bravo, Fernando, Ian Cross, Sarah Hawkins, Nadia Gonzalez, Jorge Docampo, Claudio Bruno, and Emmanuel Andreas Stamatakis. 2017. “Neural Mechanisms Underlying Valence Inferences to Sound: The Role of the Right Angular Gyrus.” Neuropsychologia 102 (July): 144–62. https://doi.org/10.1016/j.neuropsychologia.2017.05.029. Buckley, Una, and Kalyanam Shivkumar. 2016. “Stress-Induced Cardiac Arrhythmias: The Heart–Brain Interaction.” Trends in Cardiovascular Medicine 26 (1): 78–80. https://doi.org/10.1016/j.tcm.2015.05.001. Cárdenas, Rodrigo Andrés, and Lauren Julius Harris. 2006. “Symmetrical Decorations Enhance the Attractiveness

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text:
deeply felt belief changes? On the other hand, one can interpret the effect of these experiences to be healing at a low-level: they allow the reconfiguration of the microstructure of our experience in beneficial ways. The first lens suggests that these experiences change what we believe and think about, whereas the second lens suggests that the experiences change how we feel. In this talk we will unify these two lenses and argue that neural annealing(Johnson 2019) underlies high-level changes in beliefs and attitudes as well as low-level microstructural healing of internal representations. This paradigm ties together the puzzling effects of mystical-type experiences by interpreting them as uniquely strong versions of neural annealing. We suggest that traumatic memories are indeed implemented with low-level microstructural dissonance in the internal representations(Gomez-Emilsson 2017). Not only are they about something bad, they also feel bad. In turn, neural annealing targeted towards these internal representations can heal and transform them from dissonance-producing to consonance-producing. More so, neural annealing also enhances the information propagation fidelity of the nervous system, allowing the healed representations to update the state of the rest of the nervous system. This insight, along with careful study of annealing dynamics under psychedelics, can allow us to target the annealing process in order to heal these internal representations more effectively. We conclude with empirical predictions for what to look for in order to identify the signatures of successful neural annealing under psychedelics and suggest methods to piggyback on the natural well-trodden paths of beneficial annealing (e.g. meditation, yoga, music, creativity) to optimize such experiences. Presentation There are two main reasons I think sharing this work as soon as possible with the world is very beneficial. The first is that it genuinely advances a new model for how to optimize psychedelic therapy. In particular, I think that being aware of this model can be very useful for people who intend to self-medicate with psychedelics. Although there is a vast literature for psychedelic psychotherapy, it is largely laced with metaphysical views, implicit background philosophical assumptions incompatible with science, and in my view, questionable ethics. The second point is that this model can be used as an antidote to psychedelic brainwashing. If a friend of yours has been taking a lot of psychedelics (with or without a shaman) and now has a web of unfalsifiable beliefs that do not seem to help them, this presentation might work to help them understand what is going on in their mind. Additionally, once you understand how psychedelic annealing works, you can anticipate irrational belief changes based on the texture of the experience and proactively prevent them. Indeed, being showered with bliss consciousness by a DMT entity might be healing to your nervous system, but alas, it also anneals in you a conviction in the independent existence of such entities. With this presentation, the hope is that you can keep the healing while discarding the irrational beliefs (because you will now be able to see how they are implemented!). If we want

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to indeed create a truth-seeking psychonaut shanga (aka. a Super-Shulgin Academy) we have to have an adequate model of how exotic states of consciousness modify one’s belief networks. The penalty of not modeling this accurately leads to the loss of one’s critical faculties. I have seen it happen (see Appendix A & B), and I am not impressed. We can do better. And here are the slides (with some light comments along the way on the topics that have not been previously discussed): Many thanks to the Oxford Psychedelic Society for the invitation to give this talk. 🙂 Model (1) has the problem that the researchers themselves are not exposed to the exotic states of consciousness, and as such, what they write and theorize about comes from second-hand accounts. More so, the bulk of the direct phenomenological information the participants gain access to is generally discarded as it goes through the low-dimensional information filters of standardized questionnaires. There is no real buildup of phenomenological information or an effort to integrate it across participants (participants don’t generally talk to each other). The model does excel at generating copious high-quality neuroimaging data. Model (2) suffers from the problem that the idiosyncratic beliefs of the psychonaut tend to “anneal more deeply” (see the next slide for a more through description of this) with each trip. Unless they were to focus on the phenomenal character of the experience rather than the intentional content, what tends to happen is that specific high-level beliefs become energy sinks and they dominate the exploration. Recall how DMT’s world-sheet “crystallizes” around objects and ideas you can recognize. Thus, as you take psychedelics over and over, the realms of experience one goes to will tend to follow recurring themes along the lines of what the most successful energy sinks from previous experiences have been. The explorer usually does not develop technical models of the phenomenological effects, but rather, tends to focus on the metaphysical or philosophical implications of the experiences. Model (3) is like that of a think tank. Ever since writing articles like How to Secretly Communicate with People on LSD, we have received a lot of correspondence from pretty smart people who enjoy exploring exotic states of consciousness. The multi-year dialogue between us and them and each other has resulted in a lot of generative model building for which we can then get feedback. Grounded in common background philosophical assumptions[Johnson_2016] and a drive towards phenomenological accuracy, the type of output of this model tends to look much more like The Hyperbolic Geometry of DMT Experiences than either a neuroscience paper (model 1) or a book about the Earth Coincidence Control Office (model 2). Which of these information-processing architectures would you use if you were trying to figure out the truth of how psychedelics work? If they were diagrams for a neural network architecture, which one do you think would model and integrate information most effectively? Ultimately, we should think of these models as complementary. But since model 3

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text:
is novel and largely unexplored, it might be sensible to pay attention to what it outputs. This slides illustrates the sort of topics and problems that a “Good Annealing Manual” would need to cover. As an integrated “energy management” strategy, such a manual would describe how to raise energy, how to dampen it, how to translate it from one domain into another, how to stabilize a state, how to get knocked out of an unhelpful limit cycle, and so on. (Carhart-Harris and Friston 2019)(Simler 2021) (Carhart-Harris and Friston 2019) (Safron 2020) Note: I should have cited Michael Schartner’s work (and more generally the work coming out of Anil Seth’s lab which applies the predictive processing paradigm and neural network feature visualization to model the effects of psychedelics). Apologies for this omission. Importantly, all of that work (in addition to REBUS and SEBUS) lives at the computational level of analysis. What QRI is bringing into the picture is how the implementation level based on principles of harmonic resonance and the Symmetry Theory of Valence underlie predictive processing. More on this below. (Luppi et al. 2020) (Atasoy, Donnelly, and Pearson 2016) One of the interesting ideas of Steven Lehar is applying the duality between standing wave patterns and resonant modes of objects to the brain. A lot of psychedelic phenomenology suggests that there is a duality between the vibe of the state and the geometric layout of the multi-modal hallucinations. In other words, each phenomenal object has a corresponding way of vibrating, and this is experienced as a holistic signature of such objects. (cf. Resonance and vibration of [phenomenal] objects). (See also: Hearing the shape of a drum). In the context of this presentation, the most important idea of this slide is that the duality between standing wave patterns and the vibe of the experience showcases how symmetry and valence are related. Blissful “heavenly realms” on DMT are constructed in ways where the resonance of the phenomenal objects with each other is consonant and their structure is symmetrical. Likewise, the screechy and painful quality of the DMT “hell realms” comes along with asymmetries, discontinuities, and missing components in the phenomenal objects that make up experiences. The overall vibe of the space is the result of the intrinsic vibratory modes of each phenomenal object in addition to each of the possible interactions between them (weighted by their phenomenal distance). An analogy readily comes to mind of an orchestra and the challenges that come with making it sound consonant. From Mike’s Why we seek out pleasure: A good algorithmic theory of cognition will collect, unify, and simplify a lot of things that look like odd psychological quirks, and recast them as deeply intertwined with, and naturally arising out of, how our brains process information. I’m optimistic that Symmetry Theory will be able to do just this- e.g., Cognitive dissonance happens when two (or more) patterns in your head are battling for your neural real estate, and they’re incompatible– i.e., they’re collectively dissonant/asymmetrical. Denial is

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text:
what happens when your brain attempts to isolate/quarantine such patterns, and is actively working to prevent this tug-of-war for neurons. This model implies that your brain can evaluate the “internal consistency/harmony” of a neural pattern, and reject it if there’s a negative result- and also the “simulated relative compatibility/harmony” of two neural patterns, and try to keep them isolated if there’s a negative result. I’d suggest the best way to understand this is in terms of projective geometry, resonance, and symmetry: i.e., to evaluate a pattern’s “internal harmony” and whether it ‘runs well (is stable) on existing hardware’, the brain uses principles of resonance to apply certain geometric projections (high-dimensional-to-lower-dimensional transformations) to the pattern to see if the result is stable (unchanged, or predictably oscillating, or still strongly resonant) under these transforms. Stable patterns are allocated territory; unstable ones (=dangerous neural code) are not. The internal mechanics of this will vary across brain areas (based on the specific resonance profile of each area) and emotional states, which might contribute to how certain types of information tend to end up in certain brain regions. Likewise, this could explain how moods coordinate information processing– by changing the resonance landscape in the brain, thus preferentially selecting for certain classes of patterns over others. A core implication of this model is that different kinds of dissonance will drive different kinds of behavior (feel like different kinds of imperatives), and based on what action is needed, a mood may create (or be the creation of) a certain kind of dissonance. Why we seek out pleasure: the Symmetry Theory of Homeostatic Regulation(Johnson 2017) Now applying annealing to the above, we hypothesize that: (1) On the one hand, at the implementation level neural annealing works as a method to reduce dissonance by escaping local minima. (2) On the other hand, at the computational level simulated annealing can be used as a method to reduce prediction errors (cf. message passing and belief propagation). We hypothesize that there is a kind of duality between these two levels of abstraction. We are very interested in cleanly formalizing it so it can be empirically tested. But the facts seem to suggest that there is something here. What this duality says is that for any transformation that you do to the resonance network there will be a corresponding effect on the belief network and vice versa. For example, in this light, you will always find that denial or cognitive dissonance will come along with the phenomenology of “resistance” in one of its many guises (such as muscle tension, feelings of viscosity, or hardness). If you can address the muscle tension directly with progressive relaxation (or yoga, massage, etc.) you will also be implicitly addressing the integration of information into your world-model. At the same time, you may use specific beliefs in order to relax specific muscles, and some aspects of meditation may involve doing this to an extent (e.g. “now is all there is” and “the self is illusory” are beliefs that

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