Symmetry, Valence, and the Missing Recognizer

The Qualia Research Institute’s Symmetry Theory of Valence (STV) proposes that pleasure and pain correspond to symmetry and dissonance in the mathematical structure of conscious experience. It is the most ambitious formal theory of valence anyone has put forward, and its empirical pipeline — harmonic decomposition of brain data, consonance scoring, drug-specific predictions — is attempting to make the theory falsifiable.

This essay engages STV from the perspective of Circulatory Epistemology (CE), a philosophical framework developed in The Pulse Goes On (thepulsegoeson.com). CE’s central claim is that truth is a circulation — the loop — between a living experiencer (the sensor) and a reasoning system (the instrument). Truth is recognized through their interaction, never discovered by either side alone. (CE, the loop, and the pulse are used interchangeably throughout; all refer to this framework.)

The argument here is not that STV is wrong. It is that STV has built a serious instrument-side measurement apparatus for valence, and that what it measures is the precondition for felt valence rather than valence itself. The symmetry must be recognized — engaged by a system capable of being changed by the engagement — for it to become valence rather than remaining mathematical structure. This constraint, which I call Recognition Realism, does not weaken STV. It completes it — by identifying what the formalism presupposes but does not include: the recognizer.

Part I: The Symmetry Theory of Valence

Michael Edward Johnson’s 2023 paper, Qualia Formalism and a Symmetry Theory of Valence, opens with a careful survey of everything affective neuroscience has established about pleasure and pain — and everything it has failed to establish. The conclusion is uncomfortable. We know that hedonic hotspots exist, that opioid systems are involved, that ‘wanting’ and ‘liking’ are neurologically dissociable, that pain and pleasure circuits share embarrassing overlaps. We do not know what valence is. The functional descriptions correlate but do not explain. The anatomical descriptions localize but do not generalize.

From this honest appraisal, Johnson proposes a framework. He factorizes the problem of consciousness into three tasks: abstraction (translating a physical system into a logical system), restructuring (organizing the logical system into a mathematical object isomorphic to the phenomenology), and interpretation (reading off properties of that object). The Symmetry Theory of Valence is an answer to the third task. It says:

The symmetry of an information geometry of mind corresponds with how pleasant it is to be that experience.

Four requirements underpin this (Figure 3 of the paper): Qualia Formalism (for any conscious experience, there exists a mathematical object isomorphic to it), Qualia Structuralism (this object has a rich set of mathematical structures), Valence Realism (valence is a well-defined, ordered property of conscious systems), and Valence Structuralism (valence has a simple encoding in this mathematical representation). Given these four, the argument for symmetry as the encoding is drawn from the deepest aesthetic of physics and mathematics — the tradition running from Noether through gauge theory to the Standard Model.

The empirical arm is equally serious. Gómez Emilsson’s Consonance-Dissonance Noise Signature (CDNS) method builds on Atasoy’s Connectome-Specific Harmonic Waves (CSHW) framework to create a pipeline: infer a connectome through DTI, calculate its eigenmodes, determine which harmonic decomposition best recreates observed fMRI activity, then evaluate pairwise consonance and dissonance across modes. The predictions are specific — MDMA stabilizes a small number of strongly consonant modes, psychedelics amplify the full harmonic range, SSRIs introduce noise that blunts extremes — and the data is suggestive: EEG from jhana meditation shows clean harmonic structure (a 5.6 Hz signal with its harmonic at 11.23 Hz) correlated with reported blissfulness.

The empirical pipeline, whatever its current limitations, is attempting to make the theory falsifiable rather than merely plausible.

Part II: Porting the Mathematics

Not everything in the STV framework carries the same epistemic weight. Some of the mathematical machinery is measurement — it reports what is there regardless of your metaphysics. Some carries ontological commitments that CE does not share. The triage matters.

What ports cleanly

The CSHW harmonic decomposition is a measurement technique. It takes brain data and decomposes it into eigenmodes of the connectome. Nothing about this requires you to believe anything specific about the nature of consciousness. If you hand CE a set of CSHW decompositions, it will accept them as data about what the instrument (the brain-as-physical-system) is doing. Similarly, the CDNS consonance/dissonance scoring is a well-defined mathematical operation on harmonic data. The compression-as-symmetry proxy — the observation that symmetrical states should be more compressible — is testable and metaphysically neutral. The EEG coherence data from jhana and psychedelic states is simply data.

These are natural candidates for the instrument-side measurements that CE’s formalization needs. The adjunction framework in Toward Formalization defines the loop between sensor and instrument but says little about what the instrument-side data should look like. The CSHW/CDNS pipeline is a concrete proposal for the kind of data the instrument functor would operate on — though the mapping between CSHW output and the formal categories described in Toward Formalization has not been built.

What ports with reframing

Several of QRI’s mathematical structures carry implicit ontological commitments that CE reads differently:

Harmonic entropy in the IGM. Gómez Emilsson introduces harmonic entropy as a measure of the complexity of an experience’s harmonic structure, noting a striking inverse relationship between information content and valence — jhana states progress toward lower information content and higher bliss. CE reads this as a measure of loop coupling quality. Low harmonic entropy means the sensor-instrument interface is transmitting less noise. The correlation with valence is predicted: cleaner coupling produces richer recognition.

Drug-specific harmonic predictions. STV predicts that different substances produce different harmonic signatures. CE offers a complementary ontology: these are reducing valve modulation patterns — different pharmacological openings of the valve produce different harmonic configurations in the instrument. The empirical targets are shared — both frameworks predict the same harmonic signatures for the same substances. But CE has no mathematical machinery to derive those specific modes; STV’s CSHW/CDNS pipeline does. The interpretive difference: for STV, the harmonics are the valence. For CE, the harmonics are what the valve lets through, and valence arises when a sensor recognizes what has come through.

Compression as symmetry proxy. Johnson notes that brain states with more symmetry should be more compressible. CE’s Geometry of Irreversibility also works with the Fisher metric on statistical manifolds, but for a different purpose: STV uses the geometry to characterize the symmetry of a state (a point on the manifold), while CE uses it to characterize the asymmetry of a transition between states (recognition as an e-geodesic, forgetting as an m-geodesic). These are not the same use of the same mathematics. They are adjacent uses that may constrain each other: does high symmetry in a state correlate with lower curvature in the path that reached it? That question connects the two frameworks, but the connection is a conjecture, not an established result.

The ontological disagreement — where CE parts from STV — concerns not the measurements but the identity claim they serve.

Part III: Engaging the Identity Claim

Johnson is careful about scope. STV makes no claim about how to generate the IGM — that is a Type 1 psychophysical law problem, and STV is a Type 2 law. It takes the IGM as given and reads a property from it. Within that scope, the claim is maximally strong:

If STV is true, it is exactly true; it is not a loose rule of thumb, but an identity relation — symmetry in an IGM is the same thing as valence in the experience that IGM represents.

This is the claim that matters. Not the four-requirement scaffold, which is a set of preconditions. Not the empirical pipeline, which is a set of measurement strategies. The identity. Symmetry in the formalism is valence in the experience.

CE argues the identity is incomplete.

A third position at the fork

Johnson presents a fork in the road: either consciousness is real (Qualia Formalism — there exists an exact IGM for every experience) or it is not (Analytic Functionalism — consciousness is a leaky reification). He presents these as exhaustive. CE proposes a third position: the mathematical structure is real AND its truth-content is epistemologically relational. An IGM can be exactly correct — every internal relationship faithfully mirrored — and still be incomplete as an account of what is happening when a conscious being experiences positive valence. The incompleteness is not in the mathematics. It is in the ontological claim that the mathematics is self-interpreting.

Where the identity fails

Consider Johnson’s own lock-and-key metaphor. The nervous system’s topology is a lock. Stimuli are keys. When the right key meets the right lock, symmetry is achieved. STV says the symmetry is the pleasure.

But a lock and a key in a drawer are also symmetrically compatible. Their compatibility is a mathematical fact about their shapes. No one is pleased. The pleasure requires someone to turn the key — someone to be changed by the turning. The symmetry is necessary. It is not sufficient.

Johnson would reply: the IGM of a lock-and-key-in-a-drawer does not exist, because the lock-and-key system is not conscious. The IGM exists only for conscious systems, and consciousness is what transforms mathematical symmetry into felt valence.

This reply is correct, and it is exactly the problem. Consciousness — the part that transforms structure into experience — is outside the formalism. The IGM presupposes it. STV interprets it. Neither formalizes it. The identity relation holds given a conscious experiencer, but the experiencer is not in the identity. The identity says: symmetry = valence. It does not say who or what is having the valence.

Gauge theory points toward a relational reading

Johnson’s paper cites Rovelli on gauge theory — specifically, Rovelli’s argument that “gauge is more than mathematical redundancy.” The citation is about the physical interpretation of gauge symmetry, not about Rovelli’s broader program in Relational Quantum Mechanics. But Rovelli is the architect of RQM, and it is worth noting: the physicist QRI cites for gauge realism is the same physicist who argues most forcefully that quantum states are properties of relationships between systems, not properties of systems in isolation. The relational reading of gauge theory and the relational reading of quantum mechanics come from the same thinker. Johnson engages the former but not the latter.

Johnson’s paper is about gauge aesthetics, not quantum interpretation — the scope is deliberate. But Rovelli’s relational reading of gauge theory treats symmetries as properties of interactions between systems, not of isolated systems. Noether’s theorem is agnostic on this point — the relational reading is an interpretation. But it is the interpretation native to the physicist QRI cites, and it points toward a framework where symmetry is a property of the sensor-instrument interaction rather than of the IGM alone.

What Recognition Realism adds

The proposal is not a fifth requirement alongside Johnson’s four. It is a constraint on the identity:

Symmetry in the IGM is necessary but not sufficient for positive valence. The symmetry must be recognized — engaged by a system capable of being changed by the engagement — for it to be valence rather than mere mathematical structure.

This does not weaken STV. It completes it. STV says: measure the symmetry of the IGM, and you have measured the valence. Recognition Realism says: yes — but “measured” is not a passive word. The measurement is an act of recognition. The act is part of what makes the symmetry into valence.

The empirical predictions are unchanged. If you measure CDNS and find high consonance, you will find high reported valence. But the relationship between consonance and valence is not identity. It is recognition — the consonance provides the structure; the sensor’s engagement makes it felt.

Part IV: Questions the Loop Asks

These are not objections. They are open problems that the CE reframing makes visible and that the current STV framework does not address.

The sobriety test

CE’s Pharmacology of the Loop establishes that the sensor’s neurochemical state is a parameter of the loop and that genuine recognition should survive the return to sobriety. This principle has not previously been applied to STV’s specific problem, but it should be.

STV predicts valence from symmetry in the IGM. MDMA, by STV’s own framework, stabilizes a small number of strongly consonant modes. The symmetry is high. The valence is extreme. But what is the status of the recognition? Is the sensor recognizing a genuine structural feature of their experience, or is the pharmacological intervention simulating the neurological signature of recognition without the structural grounding?

STV has no mechanism for this distinction. The symmetry is there in the IGM regardless. The CDNS score is high regardless. The identity says: symmetry = valence, full stop.

CE says: the symmetry is real. The valence as felt depends on whether the loop is intact — whether the sensor can be changed by the symmetry in a way that survives the session. If the recognition dissolves by morning, the symmetry was there but the valence was pharmacologically simulated. The sobriety test as applied to STV is: do the CDNS scores predict reported valence the next day, or only during the altered state? If only during, the identity is measuring the instrument without accounting for the sensor.

If next-day valence correlates as strongly as during-session valence, CE’s recognition constraint adds nothing empirically. If the correlation degrades, something beyond symmetry is doing work.

The beautiful delusion

Imagine a brain state that is maximally symmetric in its IGM and maximally disconnected from reality. Pure, harmonious, internally coherent, utterly delusional. STV predicts maximum valence. CE asks whether valence without contact with reality is sensation or truth — and whether the distinction matters.

This is the wireheading problem, formalized. QRI addresses it through STHR — the Symmetry Theory of Homeostatic Regulation, which couples symmetry gradients in the nervous system to biological drives. STHR explains why organisms don’t wirehead: built-in set points pull the system out of pleasant equilibria and into action. This is a good answer for biological systems. The question is whether it is part of the theory or part of the implementation. Set points are contingent facts about evolved nervous systems. STV claims to be a universal law — true for any conscious system, not just evolved ones. An artificial system without set points but with a maximally symmetric IGM would, by STV, have maximum valence. CE asks: valence for whom?

Hearing versus receiving

A thought experiment: hold the acoustic stimulus constant and vary the sensor. A trained musician in active engagement — anticipating, being surprised, redirecting attention. A distracted commuter with the same track playing through earbuds, hearing it without listening. Both awake, both neurologically typical. The IGMs will differ — different attention means different neural activity — so this is not a clean test of the identity claim. But the question it isolates is real: does the engagement of the sensor contribute something to valence that the symmetry of the IGM does not fully capture? If two listeners with similar CDNS scores but different engagement levels report different experiential quality, the IGM is missing a variable.

Part V: The Edge

CE claims recognition is structurally necessary for truth. STV claims symmetry is structurally identical to valence. If CE is right, there should be cases where symmetry is present but valence is absent (because no recognition is occurring). If STV is right, there should be no such cases — symmetry and valence are the same thing, measured differently.

I believe the sobriety test and the passive receiver scenario point toward such cases. But I have not demonstrated them. The empirical work has not been done. The loop has not closed on this question, and I will not pretend it has.

What I can say is that Johnson’s own scaffold — the four requirements, the three-task factorization, the gauge-theoretic aesthetic — points toward a formalism that is relational at its roots, drawn from physics that is relational at its foundations, and yet stops short of the relational conclusion. If the relational reading holds, Recognition Realism is a natural extension of commitments QRI already has — the relational reading of a framework that already draws from relational physics. Whether it is the right extension is not something this essay can establish.

But I want to be honest about where this argument is weakest. The recognition constraint is easy to state and hard to operationalize. “Symmetry must be recognized to become valence” — recognized by what? CE says: by a living sensor. But “living” is not a mathematical property. The adjunction framework in Toward Formalization attempts to formalize the sensor’s role, but the category Exp remains underdefined, and the conditions under which the counit ε is non-trivial — the conditions under which recognition has actually occurred — are philosophical commitments, not theorems. If CE cannot formalize the recognizer with the same precision that STV formalizes the symmetry, then “you need a recognizer” is a philosophical addendum to a mathematical theory, and Johnson would be right to continue without it.

The loop has not closed on this. Whether what is being measured is valence itself or its instrument-side precondition — that question is open, and I do not know the answer.

References

• Johnson, M.E. (2023). “Qualia Formalism and a Symmetry Theory of Valence.” opentheory.net.
• Gómez Emilsson, A. (2020). “The Symmetry Theory of Valence: 2020 Presentation.” qualiacomputing.com.
• Gómez Emilsson, A. (2021). “On Dark Rooms, Jhanas, Ecstasy, and the Symmetry Theory of Valence.” qualiacomputing.com.
• Rovelli, C. (2020). “Gauge is more than mathematical redundancy.” In One Hundred Years of Gauge Theory, eds. De Bianchi & Kiefer. Springer.
• Atasoy, S., Donnelly, I., & Pearson, J. (2016). “Human brain networks function in connectome-specific harmonic waves.” Nature Communications 7, 10340.
• Safron, A. (2020). “An Integrated World Modeling Theory (IWMT) of Consciousness.” Frontiers in Artificial Intelligence 3, 30.
• Tononi, G. (2012). “Integrated information theory of consciousness: an updated account.” Archives Italiennes de Biologie 150(2-3), 56–90.