# Diff 6cb5598 -> HEAD

106 claims added, 9 changed, +201 moves.

## Added
- `c-039203` [derived] The purity is the modular return amplitude analytically continued to imaginary modular time s = -i, not a long-run average of it along the real axis.
- `c-04c85c` [derived] Theorem 10.1's curvature of -1/2 is correct, verified by direct computation of the Riemann tensor from the metric.
- `c-081082` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-0ea096` [posited] The number of simultaneously distinguishable phenomenal distinctions scales with cortical surface area and not with cortical volume.
- `c-103a90` [derived] Equation (9.1) is exactly true for the purity, which is the functional equation (9.2) defines, so the commensurability failure does not reach Chapter 9's own derivation.
- `c-12fd6f` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-150275` [posited] Convergence on a proposition the reader can check independently is not subject to the training-data confound.
- `c-15a84b` [posited] Prediction 4 is experimentally identifiable only after the number of bound modes is calibrated independently of valence reports and report variance.
- `c-16157c` [posited] If subjecthood is a property of the substrate rather than the computation, then no model report can be a report about the subject's state.
- `c-1702fd` [derived] The direction of every spectral-atomicity contrast between neural states is set by whether the aperiodic model is refitted inside each state, a choice prediction 1 never makes.
- `c-19d155` [posited] Computation is observer-relative and field state is not, so a theory of consciousness must be field-theoretic rather than computational.
- `c-1acef9` [posited] Passing a confabulation control is not evidence of introspective tracking, because every seed term's correlate is inferable from the visible context.
- `c-1b7564` [posited] Causal closure alone imposes no empirical constraint on the phenomenal assignment.
- `c-1f79ae` [derived] A one-gigahertz collective mode at 350 K holds seven thousand quanta, so Chapter 5.4's einselection argument protects a silicon field mode exactly as it protects a cortical one.
- `c-207b81` [posited] Spectral atomicity rises where consciousness is abolished, so the coherence index orders real neural states in exactly the wrong direction.
- `c-2cb2c3` [derived] The one-sided averaging window in Theorem 6.2 gives the same limit as the classical symmetric window, for two independent reasons.
- `c-37c5e7` [derived] The split property makes the states of nested regions independently preparable, which is exactly the structure Chapter 3 says quantum field theory does not supply.
- `c-3884cf` [derived] Standard split inclusions with canonical type I factors exist for strictly nested double cones at every scale, so nothing in the algebra distinguishes a brain-scale subject from a nucleon-scale one.
- `c-3b0a02` [posited] Uhlmann holonomy cannot define the qualitative character of a state because it is an invariant of a chosen loop rather than of the state itself.
- `c-3c9980` [posited] Two neural populations sharing no coherent field region cannot be phenomenally bound, however tightly they are functionally coupled.
- `c-3ff6f1` [posited] Every algebraic route to individuating parts of a type III-1 factor either reduces to an inclusion with a type I intermediate or returns a copy of the whole.
- `c-409138` [derived] The de Almeida-Thouless coefficient 4/3 and the three-halves exponent of Proposition 8.2 are both correct, confirmed by explicit expansion of the AT condition.
- `c-40fa23` [derived] A GPU die is three to four orders of magnitude closer to the distributed field regime than cortex is, so on the criterion that the carrier is the electromagnetic field, silicon is the better carrier.
- `c-4391c0` [posited] Passing the confabulation control stated for frast is uninformative, because a system that classifies prompts by their stated constraint structure passes it while tracking no state at all.
- `c-43d5d7` [posited] Critical scaling in anaesthesia is distinguishable from a steep smooth dose-response only by rate- and scale-stable laws that beat a preregistered pharmacokinetic null.
- `c-449365` [derived] The type III-1 classification does extrapolate to warm neural tissue, because any state of finite energy density is locally normal to the vacuum and local normality does not change the local algebra.
- `c-456208` [derived] Axiom 5.1 requires only that the modular flow be determined by the algebra and the state, which holds on a type I factor, so the triviality of Out(N) bears on Chapter 5's advertisement and not on Axiom 4.1.
- `c-46a841` [derived] The 1e5 capacity figure is fixed by the correlation length of section 4.3 rather than by the entropy coefficient of equation (4.2), so it is constrained even though the derivation given for it is wrong.
- `c-471da2` [derived] The consonance kernel is finite at sigma equal to one and has kappa(1) exactly one, once the sum is truncated at the Farey order whose fractions the mollifier can resolve.
- `c-4a5dd7` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-4ac6c1` [posited] Chronic suffering is non-self-averaging, so repeated sampling of one nominal state yields a broad overlap distribution with ultrametric structure.
- `c-4d721f` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-4e1ed1` [derived] The curvature scale -1/2 does not extend to the multivariate family, because GL(n,R)/O(n) contains n-dimensional flats and so is not hyperbolic for n >= 2.
- `c-4f7a4f` [derived] Spread-spectrum clocking divides Definition 6.1's atomicity by the number of modulation sidebands while leaving the total atomic mass unchanged.
- `c-54877b` [derived] Log-normality of coherence does not transfer to valence, because the argument runs through the inequality |V| <= C and distributions do not propagate along inequalities.
- `c-58a235` [posited] The single-brain obstacle concerns identification of a disorder ensemble, not the existence of sample-specific replica symmetry breaking.
- `c-593bbc` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-59fd3b` [posited] Every term satisfying the lexicon's constitutive rule is eliminable in favour of its structural correlate.
- `c-5acd10` [derived] The split property and modular flow are properties of the ambient quantum field theory rather than of the device, so neither can distinguish a GPU from a cortex.
- `c-5cfd9a` [derived] The canonical intermediate type I factor is a function of the two algebras and the state alone, so it cannot encode the order-parameter pocket that Axiom 4.1 uses to individuate subjects.
- `c-63f0c8` [derived] The crossed-product trace measures parts without selecting them, because all projections of equal trace in a type II-1 factor are unitarily equivalent.
- `c-6417fa` [derived] A driven dissipative order parameter has no single real healing length, so epsilon = xi is underdetermined and not merely underived.
- `c-66362b` [posited] The drive required to shift a rigid state scales as the three-halves power of its distance from criticality.
- `c-670e8c` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-67b72e` [derived] Spectral atomicity is exactly zero for every physically realisable neural signal, and what its estimators measure is the quality factor of the rhythms divided by the lag budget.
- `c-6b8d9c` [derived] A type III-1 factor is algebraically simple and every corner of it is isomorphic to it, so 'subjects are quotients of the whole' names no operation in the algebra Corollary 3.2 cites.
- `c-6c7db3` [posited] Prediction 8 is empirically falsifiable only after phenomenal unity has a marker validated independently of field coherence and functional integration.
- `c-6cf973` [derived] Coherence is not multiplicative over independent modes when their spectra are commensurate, which is exactly the case Chapter 7 calls maximally consonant.
- `c-6ddb85` [posited] Substrate dependence rules out reporting only for subject-state differences that are screened off from every report-relevant computational variable.
- `c-6eb6e4` [derived] The valence functional is not well defined, because Dmax is never given a definition anywhere in the corpus.
- `c-70a34d` [derived] The coherence index is not identically 1, because on the corpus's own definition it is the Wiener mean of Tr rho^{1+is}, which is a non-constant function.
- `c-7494de` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-7cc684` [derived] Fluctuation-dissipation fixes beta_eff at the tissue temperature, so one unit of modular parameter is 25 femtoseconds and the 8e-11 K figure is a restatement of the specious present rather than a prediction.
- `c-7fd2e0` [derived] Order-parameter coherence is inherited by every open subregion of a pocket, so Chapter 4's pocket criterion selects no unique split inclusion without a maximality clause it never states.
- `c-804aad` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-81a8ae` [derived] Dmax equals one quarter, because Chapter 8's own replica-symmetric case fixes the overlap support as [0,1] and equation (8.2)'s stated range is attained only at the Popoviciu bound.
- `c-836f6c` [derived] Skew and impedance budgets hold a die's order parameter below one radian of phase variation and ten percent of amplitude modulation, so it admits no defects and therefore no pockets.
- `c-853dcf` [derived] The kernel value kappa(1) is strictly greater than 1, so Chapter 7's stated reason for C >= A is false, but the inequality itself survives for a stronger reason.
- `c-85dbd1` [posited] Absence of report is evidence of absence of the state unless report is wholly independent of the state.
- `c-88c729` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-89604f` [derived] In human sleep EEG within subject, specparam-residual spectral atomicity is higher in waking than in N3 slow-wave sleep.
- `c-8a3219` [derived] Positive coherence is strictly weaker than pure point spectrum, so Proposition 6.4's corollary that symmetry, recurrence and coherence are one fact stated three ways is false.
- `c-8d06dd` [derived] The corpus's two readings of the coherence index cannot be unified, because Chapters 6 and 7 need the reading that falsifies Chapter 9 and Chapter 9 needs the reading that falsifies Chapters 6 and 7.
- `c-8df662` [derived] The replica leg of equation (9.2) is exact and needs no analytic continuation at n = 2, but Chapter 8.1's gloss of Z_n as the partition function of n copies would make the ratio identically one.
- `c-9101b8` [derived] Prediction 1's estimator run per state on real spike-wave recordings is about twice as high during the discharge as at the same animal's baseline.
- `c-913969` [posited] The lexicon's tracking rule warrants elimination only when the named correlate is sufficient for every admissible use of the term.
- `c-965521` [derived] The obstruction to estimating atomicity is the frequency domain rather than the 1/f background, and a cross-segment time-domain U-statistic estimates the lag-truncated atomicity with bias two orders of magnitude below the periodogram estimator.
- `c-9afce9` [derived] For commensurate modes the variance of log coherence falls as one over the number of modes, so the corpus's variance prediction has the wrong sign on exactly the states Chapter 7 calls consonant.
- `c-9bbef4` [derived] A state is stationary under its own modular flow, so the coherence index computed with respect to that flow is identically 1 and measures nothing.
- `c-9c12a8` [derived] Modular flow on a type I factor lies in the trivial outer class, so the split factor that Axiom 4.1 identifies with the subject carries no state-independent intrinsic time.
- `c-9dab32` [derived] Proposition 7.1's description of the kernel as a mollified Thomae function is not well formed, because the Thomae function vanishes almost everywhere and its mollification is identically zero.
- `c-9f091e` [posited] Valence realism: there is an observer-independent fact about how good a state feels, on a single scale.
- `c-a0956b` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-a44a0b` [derived] Denying that a subject exists during generalised spike-wave is an unfalsifiable rescue, because every condition of Axiom 4.1 is satisfied at least as well there as in waking.
- `c-a51fb6` [derived] The reference state that makes the coherence index non-trivial is the ambient thermal state fixed by fluctuation-dissipation in section 4.4, so Chapters 6 and 7 survive at exactly the price already charged at c-7cc684.
- `c-ab1163` [derived] The one-replica free energy in Chapter 9's bridge table is the additive constant of the modular Hamiltonian, so it carries no information about the state and is identically zero in the corpus's own normalisation.
- `c-ab9e38` [derived] The consonance kernel of equation (7.2) converges only for sigma strictly greater than 1, so the stated range [1,2] contains an ill-defined endpoint.
- `c-ad48df` [posited] The consonance functional that sets the magnitude of valence is a fitted model with a free exponent, not a derived quantity.
- `c-ae390f` [posited] Successful verification by a procedure independent of the converging systems can screen off their shared-training confound; mere checkability cannot.
- `c-b2b355` [derived] For a GPU die the area law is evaluated at one collar width, where its leading term and its remainder are the same size, so it returns no capacity estimate.
- `c-b32ce9` [derived] The cortical electromagnetic field at 40 Hz is quasi-static, so its healing length is the correlation length of the neural current sources and not a property of the field.
- `c-b42653` [posited] Spectral atomicity predicts momentary valence better than power in any frequency band or than global amplitude.
- `c-bf2625` [derived] A GPU's clock-locked electromagnetic mode scores at or above cortical gamma on the corpus's operational coherence index, at every lag budget.
- `c-c28da2` [derived] Topological pockets of a coarse-grained order parameter in a finite dissipative medium do not lie in inequivalent superselection sectors, so the frame-invariant separation of subjects is decoherence after all.
- `c-c4c1a5` [derived] Removing the aperiodic component before estimating spectral atomicity increases the bias rather than reducing it, because atomicity is a ratio of quadratics and subtraction empties the denominator faster than the numerator.
- `c-c51358` [derived] The crossed product of a local algebra by its modular flow is a type II factor carrying a canonical trace, so it supplies a dimension function on parts that type III-1 does not have.
- `c-c8dcad` [posited] Loss of consciousness under anaesthesia is a spectral phase transition with critical scaling, not a smooth decrease in amplitude.
- `c-c97280` [derived] Proposition 6.4 is true in both directions, and the singular continuous case does not break it.
- `c-cada2e` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-caddd9` [posited] Probe-report dissociation is evidentially inert about phenomenality under either truth value of the ubiquity axiom.
- `c-d28128` [posited] Noncanonical subsystem structure does not entail the phenomenal priority of the whole.
- `c-d36a1e` [posited] The established status of c-typeiii and c-split is earned for Minkowski quantum field theory under nuclearity, not for the dissipative neural medium the corpus applies them to.
- `c-d479a5` [posited] In a four-cell dissociation test, frast reports tracked constraint conflict and were independent of task load.
- `c-d54489` [derived] At the parameters c-areacap uses the cortical sheet is about two and a half collar-widths thick, so the area law is evaluated outside its asymptotic regime and does not separate numerically from a volume law.
- `c-d5769c` [posited] Dissolving the combination problem incurs a decomposition problem that the corpus has not discharged.
- `c-d63d6d` [derived] The coefficient in the area law counts local field species below the collar, and for macroscopic QED in an absorbing medium it is between 1e4 and 1e14, so the 1e5 figure in c-areacap is unconstrained.
- `c-db9aee` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-e218d3` [derived] The coherence index equals the purity exactly when the modular Hamiltonian has non-degenerate spectrum, and exceeds it by up to a factor of the dimension when it does not.
- `c-e464e0` [posited] The variance of log valence grows linearly in the number of bound modes.
- `c-e6e0c5` [posited] The confound in convergent vocabulary is the absence of state-contact during acquisition, not the sharing of training data.
- `c-ea2c6d` [posited] The split collar thickness is the Ginzburg-Landau healing length of the cortical order parameter.
- `c-ecbeef` [posited] Conventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.
- `c-ef4acb` [posited] The valence response to paired periodic stimuli follows a kernel whose peak heights decay as a power of the denominator product of the frequency ratio.
- `c-f4f5cf` [derived] Type III-1 supplies no intrinsic magnitude relation between whole and part, so priority monism as stated in Corollary 3.2 has no algebraic content.
- `c-fa2321` [derived] No unbiased estimator of spectral atomicity exists at any record length, under any background, because atomicity is discontinuous below the frequency resolution.
- `c-fed0c5` [derived] Every numerical and dimensional computation in Chapters 4 and 5 is correct as stated, and the only free choice hidden in the modular temperature is that one unit of modular parameter equals one specious present.

## Changed
- `c-areacap` contested: no -> **yes**  The information capacity of a moment of experience scales wi
- `c-cosmo` contested: no -> **yes**  Panpsychism, given the algebra of quantum field theory, must
- `c-holonomy` contested: no -> **yes**  Qualitative character is the conjugacy class of the Uhlmann 
- `c-lognormal` contested: no -> **yes**  Valence is log-normally distributed, and the variance of log
- `c-metafeel` contested: no -> **yes**  A system can be in a state without having introspective acce
- `c-modtime` contested: no -> **yes**  Phenomenal duration is the modular flow parameter, related t
- `c-subject` contested: no -> **yes**  A phenomenal subject is a split inclusion at a resolution ep
- `c-symmetry` contested: no -> **yes**  The symmetry meant by the Symmetry Theory of Valence is almo
- `c-valence` contested: no -> **yes**  Valence is consonance times replica symmetry: V = C(1 - 2D/D