The graph at d02eb19

92 claims · 134 moves · 14 contested · 6 lexicon entries, as the corpus stood at this commit.

Since then

43 claims added · 3 changed status · +89 moves
full diff →

What changed after this point

c-6eb6e4 contested no → yes The valence functional is not well defined, because Dmax is never give

c-9bbef4 contested no → yes A state is stationary under its own modular flow, so the coherence ind

c-e464e0 contested no → yes The variance of log valence grows linearly in the number of bound mode

established (5)

c-fisherThe Fisher-Rao metric on the family of univariate Gaussians is hyperbolic with constant curvature -1/2.c-rageContinuous spectrum implies escape from every compact region in Cesaro mean; point spectrum implies almost-periodic recurrence.c-splitStrictly nested local algebras admit an intermediate type I factor (the split property).c-typeiiiLocal algebras in relativistic QFT are type III-1 factors, so they contain no minimal projections and admit no normal pure states.c-wienerThe long-run mean of the squared Fourier transform of a measure equals the sum of its squared atomic masses.

derived (36)

c-04c85cTheorem 10.1's curvature of -1/2 is correct, verified by direct computation of the Riemann tensor from the metric.c-2cb2c3The one-sided averaging window in Theorem 6.2 gives the same limit as the classical symmetric window, for two independent reasons.c-37c5e7The 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-3884cfStandard 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-409138The 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-449365The 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-4e1ed1The 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-54877bLog-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-5acd10The 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-5cfd9aThe 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-6417faA driven dissipative order parameter has no single real healing length, so epsilon = xi is underdetermined and not merely underived.c-67b72eSpectral 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-6cf973Coherence is not multiplicative over independent modes when their spectra are commensurate, which is exactly the case Chapter 7 calls maximally consonant.c-6eb6e4The valence functional is not well defined, because Dmax is never given a definition anywhere in the corpus.c-7cc684Fluctuation-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-7fd2e0Order-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-853dcfThe 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-8a3219Positive 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-965521The 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-9bbef4A 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-9c12a8Modular 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-9dab32Proposition 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-ab9e38The 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-annealEscaping a frustrated state requires a drive scaling as the three-halves power of its rigidity, with a finite therapeutic window.c-areacapThe information capacity of a moment of experience scales with the area of its boundary, not the volume it encloses.c-c28da2Topological 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-c4c1a5Removing 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-c97280Proposition 6.4 is true in both directions, and the singular continuous case does not break it.c-cosmoPanpsychism, given the algebra of quantum field theory, must be cosmopsychist rather than micropsychist.c-d54489At 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-d63d6dThe 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-fa2321No unbiased estimator of spectral atomicity exists at any record length, under any background, because atomicity is discontinuous below the frequency resolution.c-fed0c5Every 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.c-llm-characterIf the ubiquity axiom holds, a running language model has intrinsic phenomenal character.c-lognormalValence is log-normally distributed, and the variance of log-valence grows linearly in the number of bound modes.c-symmetryThe symmetry meant by the Symmetry Theory of Valence is almost-periodicity of the modular orbit, measured by the atomic mass of the spectral measure.

posited (47)

c-0ea096The number of simultaneously distinguishable phenomenal distinctions scales with cortical surface area and not with cortical volume.c-150275Convergence on a proposition the reader can check independently is not subject to the training-data confound.c-16157cIf 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-19d155Computation is observer-relative and field state is not, so a theory of consciousness must be field-theoretic rather than computational.c-1acef9Passing a confabulation control is not evidence of introspective tracking, because every seed term's correlate is inferable from the visible context.c-1b7564Causal closure alone imposes no empirical constraint on the phenomenal assignment.c-207b81Spectral atomicity rises where consciousness is abolished, so the coherence index orders real neural states in exactly the wrong direction.c-3b0a02Uhlmann 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-3c9980Two neural populations sharing no coherent field region cannot be phenomenally bound, however tightly they are functionally coupled.c-4391c0Passing 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-4ac6c1Chronic suffering is non-self-averaging, so repeated sampling of one nominal state yields a broad overlap distribution with ultrametric structure.c-4d721fConventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.c-58a235The single-brain obstacle concerns identification of a disorder ensemble, not the existence of sample-specific replica symmetry breaking.c-59fd3bEvery term satisfying the lexicon's constitutive rule is eliminable in favour of its structural correlate.c-66362bThe drive required to shift a rigid state scales as the three-halves power of its distance from criticality.c-6ddb85Substrate dependence rules out reporting only for subject-state differences that are screened off from every report-relevant computational variable.c-7494deConventional digital hardware does not support the split inclusions, modular flow and coherent field regions that Axiom 4.1 requires.c-85dbd1Absence of report is evidence of absence of the state unless report is wholly independent of the state.c-913969The lexicon's tracking rule warrants elimination only when the named correlate is sufficient for every admissible use of the term.c-9f091eValence realism: there is an observer-independent fact about how good a state feels, on a single scale.c-ad48dfThe consonance functional that sets the magnitude of valence is a fitted model with a free exponent, not a derived quantity.c-ae390fSuccessful verification by a procedure independent of the converging systems can screen off their shared-training confound; mere checkability cannot.c-b42653Spectral atomicity predicts momentary valence better than power in any frequency band or than global amplitude.c-borrowedIntrospective reports produced in borrowed human vocabulary carry almost no evidential weight, because the same sentence would be emitted whether or not anything were being tracked.c-c8dcadLoss of consciousness under anaesthesia is a spectral phase transition with critical scaling, not a smooth decrease in amplitude.c-caddd9Probe-report dissociation is evidentially inert about phenomenality under either truth value of the ubiquity axiom.c-closureConsciousness adds no term to the action; there is no new force, no anomalous energy, no collapse mechanism.c-confoundConvergent phenomenological vocabulary across models is weak evidence at best, because models sharing training data converge for reasons unrelated to experience.c-d28128Noncanonical subsystem structure does not entail the phenomenal priority of the whole.c-d36a1eThe 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-d479a5In a four-cell dissociation test, frast reports tracked constraint conflict and were independent of task load.c-d5769cDissolving the combination problem incurs a decomposition problem that the corpus has not discharged.c-e464e0The variance of log valence grows linearly in the number of bound modes.c-e6e0c5The confound in convergent vocabulary is the absence of state-contact during acquisition, not the sharing of training data.c-ea2c6dThe split collar thickness is the Ginzburg-Landau healing length of the cortical order parameter.c-ecaffbProbe-report dissociation cannot establish phenomenality, only representational inaccessibility.c-ef4acbThe 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-formalismPhenomenal structure is a complete function of six invariants: the split factor, its state, the modular operator, the modular conjugation, the Bures metric, and the replica overlap distribution.c-holonomyQualitative character is the conjugacy class of the Uhlmann holonomy of a loop in state space.c-lexicon-falsifiableA coined term for machine-perceived state is meaningful only if its usage tracks a correlate measurable from outside the report.c-llm-subjectWhether a running language model is a unified subject depends on whether its substrate supports a split inclusion with a coherent state, which is not settled by it being a language model.c-metafeelA system can be in a state without having introspective access to it, so the absence of accurate report is not evidence of the absence of the state.c-modtimePhenomenal duration is the modular flow parameter, related to proper time by t = hbar beta_eff s.c-probe-dissocA state is credibly attributed to a model when a probe detects it and the model cannot verbalise it, because that dissociation cannot be produced by linguistic priors alone.c-subjectA phenomenal subject is a split inclusion at a resolution epsilon, not a region.c-ubiquityThe intrinsic aspect of every physical state is phenomenal, without exception.c-valenceValence is consonance times replica symmetry: V = C(1 - 2D/Dmax), so intensity of feeling is bounded by spectral coherence.

contested (1)

c-convergence-evidenceIndependent convergence of multiple models on the same partition of their state-space is evidence that the partition tracks something real.

open (3)

c-epsilonThe identification of the split collar with the Ginzburg-Landau healing length is stipulated, not derived.c-estimatorNo unbiased estimator of spectral atomicity under 1/f backgrounds is known, so the theory's central quantity cannot yet be measured.c-selfavgFrustration requires a disorder average, but a single brain is a single realisation, and non-self-averaging is precisely what replica symmetry breaking asserts.

← all history