Claim Registry
Two registries, kept distinct. The simulation registry (17 claims) checks quantitative predictions against live code. The manuscript audit ledger (423 claims) classifies every substantive claim across the corpus by type and remaining risk — most of these have no associated number to simulate; they were reviewed for internal consistency and rigor instead. Machine-readable JSON: simulation registry · manuscript ledger.
Simulation registry (17)
| ID | Statement | Status |
|---|---|---|
| A1_orbit_emergence | A damped, inertial reaction-diffusion two-body system exhibits persistent bound orbital motion rather than monotonic collapse. | PASS |
| A2_qft_locality | Mutual information decay (factorization) and commutator-norm decay (microcausality) both emerge as functions of separation. | PASS |
| A3_rg_flow_fixed_point | Coarse-grained couplings approach an IR fixed point. | PASS |
| A4_ringdown_recovery | The ringdown analysis pipeline recovers injected signal parameters. | PASS |
| B1_finite_stable_universes | N_stable <= 7, derived from a packing bound on disjoint robust gamma-intervals within the empirically bounded control domain (0, gamma_c). | PASS |
| B2_stability_domain_boundary | Stable orbital regimes are confined to gamma < gamma_c, with gamma_c of order 0.03. | PASS |
| B3_grb_multimessenger_pipeline | The Y=alpha*X (zero-intercept) closure-scale fit pipeline correctly recovers a known coupling from real GRB energy/redshift data with injected timing. | PASS |
| B4_emergent_causality | A finite, horizon-invariant maximum signal speed emerges from dissipation and coherence loss. | PASS |
| B5_magnetic_memory | After an ultrafast quench sets J~0, B does not vanish immediately; it persists for a finite, kernel-governed memory time. | PASS |
| C1_no_singularity | Curvature invariants remain finite at r=0 and geodesics are complete. | PASS |
| C2_isco_shift_scaling | delta r_ISCO ~ O(g^3/(GM)^2). | PASS |
| C3_shadow_observational_bound | g <~ 0.5 GM from current EHT shadow-diameter precision. | PASS |
| C4_born_rule_measure_concentration | Empirical frequencies concentrate on |c_i|^2 as N grows, with exponentially suppressed atypical-branch measure. | PASS |
| C5_xi_selection_nontrivial | Xi-maximization favors structured, generative, stable worlds over trivial or unstable ones. | PASS |
| C6_weak_field_recovery | Light deflection and perihelion precession recover the classical GR weak-field predictions as g -> 0. | PASS |
| C7_effective_spin_signature | a_eff ~ O(g/GM), from ray-tracing asymmetry of near-critical photon trajectories. | NOT TESTABLE |
| C8_gleason_axioms | The squared-norm measure satisfies additivity, unitary invariance, and continuity. | PASS |
Full detail per claim: Lab → Results.
Manuscript audit ledger (423)
423 of 423 claims
| Book / Section | Claim | Problem | Classification | Risk |
|---|---|---|---|---|
| A/00_White_Paper | Space of worlds triplet | No topology/metric on the space of worlds is given anywhere in the book. | Definition (informal) | High |
| A/00_White_Paper | Selection functional and W* | Presented as boxed/established; existence and uniqueness of the argmax are not addressed at this level of the text. | Postulate (existence open) | Critical/High |
| A/00_White_Paper | Fundamental dynamical equation | Domain, boundary conditions, and noise statistics are never specified anywhere in the book. | Postulate (under-specified) | High |
| A/00_White_Paper | a_* emerges from data without tuning | Contradicted by ch.21.3 (a_* is a best-fit parameter) and by the repository code, which uses the McGaugh 2016 RAR form with an empty SPARC data directory. | Numerical Evidence (borrowed functional form, fitted parameter, unverified in-repo) | Critical/High |
| A/00_White_Paper | Ringdown formula | Asymptotic behavior of the formula as written conflicts with the claimed mass-dependence trend (ch.22/23). | Postulate (internal inconsistency flagged) | High |
| A/00_White_Paper | Information preservation, no absolute singularities | Built into the definition of D(W) by construction, not an independently proven result. | Postulate | Medium |
| A/01_Limits_of_Postulated_Physics | Anthropic reasoning is explanatorily empty | None -- honest philosophical argument, no proof burden claimed. | Physical Interpretation | Low |
| A/02_Space_of_Possible_Worlds | Worlds as (D,R,G) triplets | D, R, G are described only in prose; no explicit mathematical construction (sets, operators, maps) is ever given. | Definition (informal, unformalized) | High |
| A/02_Space_of_Possible_Worlds | Most possible worlds must not exist | No measure on the space of worlds is ever defined, so 'most'/'overwhelming majority' has no formal referent. | Assumption (unquantified) | Medium |
| A/03_PrePhysical_Selection_Principle | W* need not be unique | None -- an honest, correctly-hedged statement. | Definition | Low |
| A/03_PrePhysical_Selection_Principle | Structural stability epsilon-delta definition | Uses a norm ||W-W'|| on the space of worlds, which is never constructed. | Definition (undefined norm) | High |
| A/03_PrePhysical_Selection_Principle | Absolute-singularity worlds have Xi -> -infinity | Notation misuse: this is a limit-type statement applied to a fixed argument W rather than a sequence/family of worlds. | Assumption (notation repaired) | Medium |
| A/04_Mathematical_Properties_of_Xi | Continuity of Xi | The topology is assumed to exist ('suitable'), never constructed or exhibited. | Assumption (conditional) | High |
| A/04_Mathematical_Properties_of_Xi | Xi bounded above | Asserted ('Formally') with no explicit functional forms for C,S,G,D and no proof. | Assumption | High |
| A/04_Mathematical_Properties_of_Xi | Existence of W* via continuity+boundedness | Boundedness above plus continuity does NOT imply attainment of the supremum without compactness of the domain or coercivity of Xi -- neither is established. | Conjecture / open (existence not established) | Critical/High |
| A/04_Mathematical_Properties_of_Xi | Uniqueness not guaranteed; degeneracy allowed | None -- honestly and correctly hedged. | Proposition (honest, no proof needed) | Low |
| A/05_From_Selection_to_Physical_Emergence | Conditions for physical phase = components of Xi | No explicit map from the four informal conditions to C,S,G,D is ever constructed. | Postulate | Medium |
| A/05_From_Selection_to_Physical_Emergence | W* is treated as the actual/realized world (ontological actualization) | The identification of the mathematical maximizer with the ontologically actual world is never flagged as a separate, additional postulate distinct from the mathematical optimization claim. | Postulate (now explicitly flagged, still unproven/unargued) | Critical/High |
| A/06_The_Informational_Field_Ixt | I(x,t) defined over emergent x,t | Writing I(x,t) presupposes the very domain structure (differentiable x, orderable t) that chapters 9-10 claim emerges from I's dynamics -- a circularity. | Definition (circularity flagged) | High |
| A/06_The_Informational_Field_Ixt | Entropy-coherence heuristic relation | None -- honestly labeled 'a useful heuristic relation.' | Heuristic | Low |
| A/07_The_Fundamental_Dynamical_Equation | Equation 'emerges' from Xi rather than being postulated | No derivation from Xi-maximization to this specific functional form is given anywhere in the book. | Postulate | High |
| A/07_The_Fundamental_Dynamical_Equation | Locality not assumed, diffusion term | The operator div(D grad I) is already a local differential operator by construction -- locality is built in, not emergent. | Heuristic (circularity flagged) | High |
| A/07_The_Fundamental_Dynamical_Equation | alpha constrained by Xi | No explicit map from Xi-maximization to bounds on alpha (or beta, or D's functional form) is ever constructed. | Postulate (unsupported) | Medium-High |
| A/07_The_Fundamental_Dynamical_Equation | Cubic term always forbids divergence | Directly contradicted by ch.8.3/ch.20.2, which claim parameter regimes exist with I -> infinity; for beta>0 the standard comparison principle precludes blow-up regardless of parameter balance. | Mathematical Error (internal inconsistency) -- requires repair | High |
| A/07_The_Fundamental_Dynamical_Equation | Global convergence to stable phases regardless of initial conditions | No Lyapunov functional or proof of global attractor behavior is given; equation is not obviously a gradient flow when D=D(I,t) depends explicitly on t. | Conjecture | High |
| A/08_Phase_Structure_of_the_Equation | Homogeneous phase | None -- consistent, reasonable description of a genuine fixed point. | Physical Interpretation | Low |
| A/08_Phase_Structure_of_the_Equation | Collapse-prone regime causes I -> infinity | Contradicts ch.7.3's own claim that the cubic saturation term dynamically forbids divergence for beta>0; inconsistent with the comparison-principle behavior of the stated equation. | Mathematical Error -- requires repair | High |
| A/09_Emergence_of_Space | Graph Laplacian construction | None -- a genuine, useful pre-geometric construction (a positive feature). | Definition | Medium |
| A/09_Emergence_of_Space | Discrete Laplacian converges to continuum operator | Presented as an established limiting fact; rigorous discrete-to-continuum convergence of graph Laplacians requires specific hypotheses (e.g. manifold sampling, bandwidth scaling) that are never stated or verified. | Conjecture | Medium-High |
| A/09_Emergence_of_Space | Spectral dimension converges to a stable value | No d_s measurement or simulation output is exhibited anywhere in chapters 18-20 or elsewhere in the book. | Numerical Evidence (unverified cross-reference) | Medium |
| A/10_Emergence_of_Time | t is merely an ordering relation, not a fundamental clock | The same equation is written with a partial derivative d_t I, which requires t to already possess full continuum/differentiable structure, not merely an order relation -- a load-bearing logical circularity. | Postulate (circularity flagged, unresolved) | High |
| A/10_Emergence_of_Time | Arrow of time from stability, not fundamental postulate | Relies on the unproven global-convergence/Lyapunov claim flagged in file 07 (07-5). | Physical Interpretation (dependent on open conjecture) | Medium |
| A/11_Informational_Origin_of_Gravity | Phi is the unique scalar functional of I | No uniqueness proof given; other monotonic functionals of I would serve equally well. | Postulate | Medium |
| A/11_Informational_Origin_of_Gravity | Equation of motion x-double-dot = -grad Phi follows, not postulated | No adiabatic/multiple-scale reduction of a localized PDE solution to a centroid equation of motion is given anywhere. | Postulate | Medium-High |
| A/11_Informational_Origin_of_Gravity | Equivalence principle is a structural necessity, not a postulate | The universality of free fall follows trivially from the modeling choice that the equation of motion contains no mass-dependent coefficient (11-3) -- the postulate is simply relocated, not eliminated. | Physical Interpretation / consequence of an assumed ansatz | Medium |
| A/12_Comparison_with_Newtonian_and_Relativistic_Gravity | Newtonian gravity emerges in the weak-field limit | Only a qualitative potential-gradient acceleration law is shown; no Poisson equation, G, or inverse-square law with mass sourcing is derived. | Proposition (qualitative correspondence only) | Medium |
| A/12_Comparison_with_Newtonian_and_Relativistic_Gravity | Effective metric ansatz | Dimensionally ambiguous: no factor of c (or c=1 convention) relates dt^2 to d ell^2, and Phi is elsewhere established to be dimensionless (Appendix E), compounding the issue. | Postulate/Ansatz (dimensional gap flagged) | Medium |
| A/13_Dark_Matter_as_an_Informational_Phase | a_* arises dynamically, not imposed by hand | Directly contradicted by ch.21.3 (best-fit parameter) and by the repository code (McGaugh 2016 RAR form, empty SPARC data directory). | Numerical Evidence (borrowed/fitted, not derived) | Critical/High |
| A/14_Dark_Energy_as_Global_Structural_Continuity | Effective equation of state near w=-1 | No derivation of the functional form from the field equation; presented as heuristic scaling, appropriately hedged with 'approx'. | Heuristic | Medium |
| A/14_Dark_Energy_as_Global_Structural_Continuity | Small nonzero Lambda explained by structural viability | Structurally identical to the 'too high is bad, too low is bad' anthropic-style reasoning the book itself criticizes in ch.1.2; no computation of Lambda's magnitude from Xi is given. | Postulate (in tension with ch.1's own standard) | Medium-High |
| A/15_Breakdown_of_the_Spacetime_Description | D(I,t) -> 0 as I -> I_crit | No explicit functional form for D(I,t) is given anywhere in the book; the limiting behavior is stipulated, not derived. | Assumption (unspecified functional form) | Medium |
| A/16_Conditional_vs_Absolute_Singularities | Resolves the black-hole information paradox | Does not engage the technical criteria (unitarity, Page curve, S_BH=A/4G reproduction) by which candidate resolutions are actually judged in the literature; no citation to Hawking 1976 or Page 1993. | Physical Interpretation (reframing, not a technical resolution) | Medium |
| A/16_Conditional_vs_Absolute_Singularities | Absolute singularity worlds have Xi -> -infinity (repeat) | Same notation issue as file 03 (03-3): limit notation misapplied to a fixed W. | Assumption (notation repaired) | Low-Medium |
| A/17_What_Happens_to_Information | The paradox dissolves | Same overstatement as file 16; repeats without adding new support. | Physical Interpretation | Medium |
| A/18_Numerical_Implementation | Parameters selected by maximizing Xi eliminates fine-tuning | The actual pseudocode (Appendix A.2) implements a qualitative pass/fail viability screen, not a literal maximization of an explicit, computable Xi=alphaC+betaS+gammaG-deltaD (C,S,G,D have no explicit formulas anywhere). | Numerical Evidence (illustrative toy screen, not literal Xi maximization) | Medium-High |
| A/19_Simulation_Results | Absence of runaway collapse confirms no absolute singularities, dynamically not imposed | No parameter sweep, convergence, or resolution-independence study is shown; claim is based on limited illustrative runs and is in tension with the ch.7/8/20 blow-up inconsistency. | Numerical Evidence (illustrative toy simulation) | Medium |
| A/20_Failure_Modes | Over-amplified universes with insufficient beta cause I -> infinity | Same mathematical inconsistency as files 07/08 (07-4/08-2): contradicts the comparison-principle-guaranteed boundedness of the stated equation for beta>0. | Mathematical Error -- requires repair | High |
| A/21_SPARC_Galaxy_Test | RAR functional form adopted from the literature | The functional form is the McGaugh, Lelli and Schombert (2016) RAR interpolating function, imported wholesale; 'consistent with the emergent dynamics' is asserted, not derived from the field equation. | Postulate (borrowed empirical fit) | High |
| A/21_SPARC_Galaxy_Test | a_* not imposed by theory, nor calibrated | Directly contradicted by the immediately preceding sentence in the same chapter ('a_* is determined by minimizing the scatter ... across the full dataset') and by the repository code (fit_a_star.py, empty data/raw/sparc directory, empty output CSV). | Numerical Evidence (fitted parameter; not reproducible from data/code present in this repository) | Critical/High |
| A/22_Gravitational_Wave_Ringdown_Test | Ringdown frequency shift formula and its mass trend | As written (ratio a_*/a_hor), the formula gives deviations of order epsilon (order-unity) for essentially all stellar/intermediate-mass black holes (where a_hor >> a_*) and SMALLER deviations as a_hor decreases toward a_* -- the opposite mass-trend from the one required by ch.23.1. | Mathematical Error (asymptotic inconsistency) -- requires repair | High |
| A/22_Gravitational_Wave_Ringdown_Test | epsilon, p are order-unity coefficients | No functional form for the 'suppression profile' (i.e. D(I) near I_crit) is ever specified, so nothing determines epsilon, p in practice. | Postulate (unconstrained) | Medium |
| A/23_New_Falsifiable_Predictions | Deviations increase with black hole mass | Reveals (does not itself cause) the ch.22 formula's asymptotic inconsistency -- see 22 above. | Postulate/prediction (depends on ch.22 fix) | High |
| A/24_How_to_Falsify_This_Theory | Existence of a rival successful theory would kill the model | The mere existence of a preferable rival theory does not, in the Popperian sense, falsify a theory (falsification requires contradicting observation, not a preferred competitor). | Physical Interpretation (minor logical correction) | Low |
| A/25_Relation_to_Existing_Theories | Not MOND: derives a_* dynamically, RAR is a consequence not an axiom | Directly contradicted by the book's own ch.21 (a_* is fit, RAR form is imported from McGaugh 2016) and by the repository code -- the resemblance to MOND/RAR is not superficial at the level of functional form or fitting procedure. | Physical Interpretation (overstated comparison) -- requires repair | Critical/High |
| A/26_Conceptual_Implications | Existence is a selected outcome ('selected because it works') | Repeats, without adding to, the file-05 finding that the mathematical-argmax-to-actual-world identification is never flagged as a separate postulate. | Physical Interpretation (inherits file-05 gap) | Medium |
| A/27_Summary_of_Results | What has been explained (list) | Every item in this list is, per the per-chapter audits, a Postulate/Heuristic/Conjecture or an overstated Numerical-Evidence claim, not a proven Theorem. | Physical Interpretation (overstated recap) -- requires repair | High |
| A/28_Future_Directions | Open mathematical questions (existence/uniqueness, Xi over infinite-dim spaces, dimensionality/locality emergence) | None -- this is an honest, corroborating admission that directly supports several of this audit's central findings (files 04, 07, 09). | Heuristic/roadmap (honest) -- positive finding | Low |
| A/29_Quantum_Completion | Hamiltonian Ĥ_I is 'a minimal form consistent with unitarity and locality' | Minimality/uniqueness among possible local functional Hamiltonians is asserted, not proven; many other forms would also satisfy the stated requirements. | Postulate/Ansatz | Medium |
| A/29_Quantum_Completion | Born rule uniquely selected by stability | This is, in substance, a Gleason-type/Zurek-envariance-type/Deutsch-Wallace-type result from the existing literature, cited nowhere, with none of the standard hypotheses (e.g. Hilbert-space dimension >= 3, sigma-additivity in the infinite-dimensional field-configuration space actually used here) checked. | Heuristic (uncited, hypotheses unverified) | High |
| A/29_Quantum_Completion | Classical limit recovers the reaction-diffusion equation exactly | Ĥ_I as constructed has no spatial-coupling term between I(x) and I(x') (checked explicitly in Appendix G.4); a manifestly unitary generator with no such coupling cannot produce a spatial diffusion term in its classical limit, and unitary (time-reversible) dynamics is generically in tension with the dissipative, irreversible classical PDE (ch.7, ch.10). | Conjecture (derivation does not go through as stated) -- requires repair | Critical/High |
| A/30_QFT_Emergent_Phase | Locality is not postulated; it is an emergent property of informational organization | No computation is performed showing mutual information actually decays for solutions of the ch.7 PDE; the criterion is defined but never checked against the specific dynamics. | Heuristic/Conjecture | Medium-High |
| A/30_QFT_Emergent_Phase | Lorentz invariance as an RG attractor | The scaling form quoted is standard CFT boilerplate, correctly stated in isolation, but no calculation within this framework's own dynamics is shown to produce such a fixed point. | Conjecture | Medium |
| A/31_QFT_Closure | Full closure claim with no new content | Chapter substantially duplicates ch.30's content and structure but removes ch.30's own hedges ('does not claim a complete derivation') while adding no new derivation. | Heuristic/Conjecture (overstated relative to identical ch.30 content) -- requires repair | High |
| A/32_Formal_Closure_of_QFT | Measurement problem does not persist into the QFT regime | Repeats the file-29 uncited/unverified Born-rule claim as an established fact, a third time (after chs.29 and this restatement), with no new derivation. | Heuristic (uncited, hypotheses unverified) -- requires repair | High |
| A/32_Formal_Closure_of_QFT | What is not claimed (honest list) | None -- a genuine, honest disclosure of remaining open technical work. | Heuristic (honest) | Low |
| A/33_SM_Emergence_Program | Program is now fully specified, no foundational ambiguity remains | Inconsistent with the chapter's own careful hedging elsewhere ('No claim is made that the full Standard Model spectrum is already derived'); a specified research plan is not the same as the underlying physics having no ambiguity. | Physical Interpretation / roadmap (one overstated line) -- requires repair | Medium |
| A/34_Implementation_Roadmap | Framework is conceptually complete, only execution remains | Directly contradicted by the accumulated findings of this audit: existence of W* unproven (file 04/D01), ontological-actualization postulate unflagged (file 05), PDE domain/BC/noise unspecified and internally inconsistent (files 07/08/20), quantum-to-classical limit gap (file 29/G01), uncited Born-rule claim (file 29) -- none of which are merely 'numerical or empirical execution' tasks. | Postulate -- directly contradicted by this audit's findings; requires repair | Critical/High |
| A/34_Implementation_Roadmap | Born-rule stability selection already established analytically | Repeats the uncited/unverified file-29 Born-rule claim as an already-established fact. | Postulate -- requires repair | High |
| A/35_Final_Closure_Statement | Foundational issues are closed (list) | Every listed item is, per this audit, a Postulate/Heuristic/Conjecture or a checkably overstated Numerical-Evidence claim (a_* in ch.21/25.4; the classical-limit derivation in ch.29/G.4), not a proven closure. | Postulate -- directly contradicted by this audit's findings; requires repair | Critical/High |
| A/A01_Full_Simulation_Code | Xi_evaluate pseudocode reveals qualitative screen, not literal Xi maximization | C,S,G,D are never given explicit computable formulas anywhere in the book; in practice the screen is pass/fail on divergence/locality, not a literal functional evaluation. | Numerical Evidence (illustrative toy screen) | Medium-High |
| A/A01_Full_Simulation_Code | All figures generated directly from this code | There are zero \includegraphics commands anywhere in the 37 audited .tex files -- no figures exist in the document being audited for this claim to describe. | Numerical Evidence (claim inapplicable to this document) -- requires repair | Low-Medium |
| A/B01_SPARC_Data_Processing | All plots shown in the main text generated directly from these scripts | Same issue as A01: no plots/figures exist anywhere in the audited .tex files. | Numerical Evidence (claim inapplicable) -- requires repair | Low-Medium |
| A/B01_SPARC_Data_Processing | RAR functional form used without derivation | Same as file 21: imported from McGaugh 2016, not derived from the field equation. | Postulate (borrowed) | High |
| A/C01_Ringdown_Signal_Modeling | Comparing to 'observed data' | Checked against the repository code (generate_synthetic.py, compare_models.py): the pipeline as implemented uses synthetic/mock data and a simpler ad hoc sigmoid-suppression toy model, not the documented mass-dependent a_hor/a_* exponential formula. | Numerical Evidence (mismatch between documented theory and implemented code) -- requires repair | High |
| A/C01_Ringdown_Signal_Modeling | Modified quasinormal mode formulas (omega_n, tau_n) | Same asymptotic-consistency problem as ch.22 (shared fix). | Mathematical Error (asymptotic inconsistency) -- requires repair | High |
| A/D01_Math_Properties_Selection_Functional | Existence of maximizers via compactness or coercivity | This is the mathematically correct template (Weierstrass extreme value theorem / direct method), but neither hypothesis (compactness of an explicit topology, or coercivity under an explicit norm) is ever verified for the actual (D,R,G) construction of ch.2. | Proposition (conditional, hypothesis undischarged) -- existence remains open | Critical/High |
| A/D01_Math_Properties_Selection_Functional | Xi is mathematically well-defined under mild and natural assumptions | The 'mild and natural' assumptions required (explicit topology/norm with compactness or coercivity) are exactly the open mathematical content of the existence question and are not discharged anywhere. | Proposition -- requires repair | High |
| A/E01_Dimensional_Analysis | I is dimensionless | None on its own -- correctly required for log I to be well-defined. | Definition/Assumption | Low |
| A/E01_Dimensional_Analysis | Acceleration from gradient of dimensionless Phi | Dimensional error: gradient of a dimensionless Phi has units of inverse length, not acceleration; contradicts Phi=-log I being dimensionless (E.1) versus x-double-dot=-grad Phi (ch.11.2) requiring Phi to carry units of L^2 T^-2. | Mathematical Error (dimensional inconsistency) -- requires repair | High |
| A/E01_Dimensional_Analysis | Framework confirmed dimensionally self-consistent | Directly contradicted by the E-3 finding above. | Proposition -- requires repair | High |
| A/F01_Relation_to_Information_Theory | Resolves apparent paradoxes (BH/cosmology) | Same overstatement as chs.16-17; no new content. | Physical Interpretation | Medium |
| A/G01_Technical_Details_Quantum_Completion | Self-adjointness of Ĥ_I | None -- correctly stated Sturm-Liouville-type sufficient conditions; sound as far as it goes. | Proposition | Low |
| A/G01_Technical_Details_Quantum_Completion | Semiclassical limit reduces exactly to the classical reaction-diffusion equation | Ĥ_I as constructed has no spatial-coupling term between I(x) and I(x') for x != x' (only pointwise functional derivatives and a pointwise potential); such an ultralocal Hamiltonian cannot generate a spatial diffusion term in any semiclassical limit -- checked explicitly, the claimed derivation does not go through as stated. | Conjecture (derivation does not go through as stated) -- requires repair | Critical/High |
| A/G01_Technical_Details_Quantum_Completion | All approximations are controlled, no additional postulates introduced | Directly contradicted by the G-4 finding above: the central approximation (classical-limit recovery) is not controlled as stated. | Proposition -- requires repair | High |
| A/H01_Algebraic_Construction_Local_Operator_Nets | Local operator algebra definition | The 'up to corrections' qualifier attached to a strict set-equality is informal; needs its own formal (e.g. epsilon-approximate) definition. | Definition (informal correction term) | Medium |
| A/H01_Algebraic_Construction_Local_Operator_Nets | Commutator bound via mutual information | Asserted as though self-evident; no proof or citation given, and no hypotheses (e.g. bounded operator norms) stated. | Conjecture (uncited/unproven) | Medium-High |
| A/H01_Algebraic_Construction_Local_Operator_Nets | Resolves long-standing tensions between algebraic rigor and physical applicability | No specific named tension from the AQFT literature (Reeh-Schlieder, split property, type-III factors, DHR superselection theory) is identified or engaged with; no citation given. | Physical Interpretation -- requires repair (needed citation) | Medium |
| A/K01_NonPerturbative_RG | Coarse-graining induces a scale-dependent equation of the same functional form | Coarse-graining a nonlinear PDE generically generates new operators/terms not present in the original equation (standard Wilsonian/functional-RG fact); no invariant-manifold argument or truncation scheme is given to justify closure onto the same 3-parameter family. | Assumption/Conjecture -- requires repair | Medium-High |
| A/K01_NonPerturbative_RG | This resolves the long-standing reliance of QFT on perturbative control | No actual non-perturbative fixed point of this specific system's dynamics is exhibited or computed anywhere in the book. | Physical Interpretation -- requires repair | Medium |
| A/L01_Coupling_Extraction_Pipeline | Coupling constants are no longer arbitrary inputs | No coupling constant has actually been extracted via this pipeline anywhere in the book; the program is unexecuted. | Physical Interpretation -- requires repair | Medium |
| B1/00a_Abstract | Gravity arises as a temporally closed dynamical phase | Demonstrate is overstrong for an interpretive framework built on a two-body toy PDE | Physical Interpretation (explicit) | Low |
| B1/00a_Abstract | Framework provides a concrete testable framework | Reasonable framing; falsifiability not yet cashed out into a concrete experiment in this file | Postulate | Low |
| B1/00b_WB_Summary | Psi(t) formal definition as tuple including memory kernel integral | K(t-tau) never given a functional form anywhere in the 31 files; no counterpart in the validated Markovian simulation code | Definition (with explicit caveat) | High |
| B1/00b_WB_Summary | L_crit defined via unspecified functional F | F never given closed form or fitting procedure; phase alignment never mathematically defined anywhere | Assumption (functional form unspecified) | High |
| B1/00b_WB_Summary | Removing inertial term eliminates all orbital phenomena | All overgeneralizes beyond the specific parameter ranges actually tested | Numerical Evidence (scoped) | Low |
| B1/01_Introduction | Emergent-gravity programs lack a mathematically precise existence criterion | No specific emergent-gravity paper (Jacobson, Verlinde, Padmanabhan) is cited or engaged; critique is uncited | Heuristic (citation needed) | Medium |
| B1/01_Introduction | This work does not claim universality or quantize gravity | None -- correctly self-scoped | Assumption (scope statement) | Low |
| B1/02_Conceptual_Foundations | Gradient-dominated systems cannot sustain bound/cyclic motion without forcing | True and provable (gradient flows are non-increasing in the potential) but stated as bare assertion with no proof or citation | Lemma (proof supplied in supplement) | Low |
| B1/02_Conceptual_Foundations | Gravity requires closure over time rather than a pointwise condition | Central postulate of the book; correctly framed as a reframing/perspective, not a proven result | Postulate | Low |
| B1/03_Math_Framework | Continuity, damped-inertial, and screened-Poisson equations are the complete dynamical content | Equations are unlabeled as Axioms/Postulates; reader cannot tell they are postulated rather than derived | Axiom/Postulate (explicit) | Low |
| B1/03_Math_Framework | Center of mass r_i(t) defined for each localized density component | No formal method given for decomposing the single field rho(x,t) into rho_1, rho_2; actual code uses an undisclosed spatial bisection of the box | Assumption (segmentation heuristic, disclosed) | High |
| B1/03_Math_Framework | L(t) is not conserved a priori; its persistence is a direct measure of inertial structure | Reasonable and correctly hedged (not claiming conservation) | Physical Interpretation | Low |
| B1/03_Math_Framework | Time-averaged angular momentum defined as finite-window Cesaro average | Genuine finite-T time average, consistent with Focus Area F question -- but later redefined in Appendices G/H/I/M as an infinite-horizon limit, never reconciled | Definition (needs reconciliation across book) | Medium |
| B1/04_Numerical_Construction | No parameters are tuned to enforce orbital motion | Plausible good-faith claim but not independently verifiable from the text alone | Assumption (self-attested) | Medium |
| B1/04_Numerical_Construction | Observed behavior is not a numerical artifact but a genuine dynamical phase | This is the conclusion Appendix B is meant to establish, asserted pre-emptively in ch.4 | Numerical Evidence (forward-referenced) | Low |
| B1/04_Numerical_Construction | Density floor clamp regularization is not disclosed | Undisclosed regularization step that could bias diagnostics near strong compressions; absent from Appendix B too | Assumption (now flagged, still undisclosed in source) | Medium |
| B1/05_Orbital_Phenomenology | Orbital motion emerges without central forces, inverse-square law, or conserved angular momentum | True by inspection of ch.3's stated equations | Definition-level (true by construction) | Low |
| B1/05_Orbital_Phenomenology | Oscillations persist under grid refinement, horizon extension, and perturbation variation | Appropriately hedged as empirical (NE); consistent with Appendix B for tested parameter values | Numerical Evidence | Low |
| B1/05_Orbital_Phenomenology | Whether orbital vs collapse occurs depends solely on whether inertial memory survives | Solely overreaches: grid resolution, box size, and the undisclosed body-segmentation heuristic are not ruled out as contributing factors | Numerical Evidence (scoped) | Medium |
| B1/06_Phase_Classification | Orbital/Collapsing/Flyby regimes are mutually exclusive and exhaustive | Actual validated classifier (runner.py) returns 5 categories (ORBIT/COLLAPSE/OVERDAMPED_STATIC/CHAOTIC/UNKNOWN), not 3; mapping to the 3-way narrative is undocumented | Numerical Evidence (coarsening disclosed) | Medium |
| B1/06_Phase_Classification | N_orbit and Delta_r are well-formed, dimensionless/count diagnostics | None -- clean, dimensionally sound definitions | Definition | Low |
| B1/06_Phase_Classification | Identical instantaneous config can belong to different phases; this demonstrates non-locality of phase membership | Demonstrates overstates a single illustrative case as a general proof | Numerical Evidence (illustrative) | Low |
| B1/07_Existence_Problem | Chapter title The Existence Problem addresses solution existence | Chapter actually addresses non-existence of an instantaneous force law, never PDE well-posedness (existence/uniqueness of solutions to the governing system) | Assumption (solution existence, now flagged as such) | High |
| B1/07_Existence_Problem | No single-valued mapping from instantaneous state to dynamical outcome exists | Empirical counterexample at one gamma value is generalized to a universal non-existence claim without proof | Conjecture | High |
| B1/07_Existence_Problem | Formally, there exists no function S mapping instantaneous fields to Orbital/Non-Orbital | No proof given; only tested against a narrow set of coarse diagnostics (d, d-dot, gamma, L), not the full field | Conjecture (scoped) | High |
| B1/07_Existence_Problem | Gravity exists only when system achieves temporal closure over [0,t] | Consistent restatement of the book's central postulate; not itself a new proof burden | Postulate | Medium |
| B1/08_Closure_Functional | Psi(t) is a history-bearing object, intrinsically nonlocal in time | Consistent with Def but K(t-tau) inside Psi(t) remains uninstantiated (see 00b entry) | Definition (with caveat) | Medium |
| B1/08_Closure_Functional | C is the simplest functional consistent with all observed phase transitions | No alternative functional forms shown tested/rejected; simplest and all observed unverifiable from text | Assumption (operational form, unranked) | Medium |
| B1/08_Closure_Functional | L_crit = F(gamma, tau_memory, T_orbit, phase alignment), non-universal | Honest non-universality claim -- but F, tau_memory estimator, and phase alignment are never formally defined anywhere | Assumption (functional form unspecified) | High |
| B1/08_Closure_Functional | Gravity may exist for intermediate gamma, disappear, and reappear (windowed behavior) | Consistent with Appendix E's non-monotonic reappearance claim, though that claim itself lacks a specific data citation (see Gap in Appendix E entry) | Numerical Evidence (cross-ref needed) | Medium |
| B1/09_Gravity_Temporally_Closed_Phase | Gravity is defined as the set of histories satisfying C[Psi(t)]=1 | Consistent Definition/Corollary of ch.8; no new proof burden | Definition | Low |
| B1/09_Gravity_Temporally_Closed_Phase | Formally, closure occurs only when inertial content exceeds a threshold (iff statement) | Drops ch.8's own hedge (operational representation, based on experimental evidence) and restates as unqualified Formally | Definition (operational, hedge restored) | Low |
| B1/09_Gravity_Temporally_Closed_Phase | No requirement that C remain invariant under parameter variation or perturbation | Consistent with Appendix E/F data | Numerical Evidence | Low |
| B1/10_Validation_Parameter_Scans | Phase existence is not uniquely determined by gamma; temporal history is essential | Correctly scoped to the specific gamma approx 0.014 mixed-outcome data; does not overgeneralize to all gamma | Numerical Evidence | Low |
| B1/10_Validation_Parameter_Scans | Horizon scaling (x1,x2,x4) functions as a necessary condition for temporal closure | A finite 3-multiple horizon test cannot, by itself, verify the T-to-infinity limit definition used in Appendices G/H/M | Numerical Evidence (necessary-condition only) | Medium |
| B1/10_Validation_Parameter_Scans | Big Orbit Validator ensures phase identification is objective and algorithmic | Reasonable methodological claim, consistent with Appendix D's pipeline description | Assumption (methodology) | Low |
| B1/11_Relation_Known_Physics | Newtonian gravity may be recovered only as a phenomenological limit within a closed phase window | No explicit computation anywhere in the 31 files shows the screened-Poisson/damped-inertial system reducing to 1/r^2 attraction in any limit | Conjecture (Newtonian limit unproven) | Medium |
| B1/11_Relation_Known_Physics | General relativity and this framework are orthogonal, not competing | Reasonable, well-hedged comparison claim; no formal mapping claimed | Physical Interpretation | Low |
| B1/11_Relation_Known_Physics | Hopf bifurcation analogy is incomplete | Self-correctly hedged; good practice | Heuristic (self-qualified) | Low |
| B1/12_Implications | Cosmological structure formation must be reinterpreted if gravity is conditional | Correctly hedged with If -- conditional, speculative implication | Conjecture | Low |
| B1/12_Implications | Gravity is the first demonstrated case of a more general temporal-closure principle | Demonstrated overstates a single illustrative toy-model result as establishing a general principle spanning particles, bound states, fields | Physical Interpretation (illustrative) | Low |
| B1/13_Limitations_Open_Problems | Closure functional is defined operationally rather than analytically; structure only partially characterized | Directly contradicts the Theorem-level claims made in Appendices J, K, N about exactly this kind of analytic/stability result | Assumption (confirmed correct by this audit) | Low (for this chapter itself); High (manuscript-wide consistency) |
| B1/13_Limitations_Open_Problems | Proofs of stability and uniqueness for closed dynamical phases are listed as future work | Same tension as above -- appendices claim to have already proven closely related results | Assumption (confirmed correct) | Low |
| B1/14_Conclusion | Results are incompatible with overdamped gradient-flow descriptions | True by construction (gradient flows cannot oscillate) but stated without proof or forward reference | Lemma (via supplement) | Low |
| B1/14_Conclusion | This work does not claim to provide a final theory of gravity | Honest self-scoping, consistent with ch.13 | Assumption (scope statement) | Low |
| B1/AppA_Full_Math_Derivations | Appendix title promises full mathematical derivations | Contains no derivations -- a catalog/restatement of definitions already given in chs.3,8,00b; title overpromises | Definition (retitled) | Low |
| B1/AppA_Full_Math_Derivations | Inertial term is essential; overdamped limit cannot support orbital motion | True and provable (Lemma-level), stated without formal proof | Lemma (via supplement) | Low |
| B1/AppB_Numerical_Stability | CFL-type stability bound holds for the explicit scheme | Standard, correct result for explicit hyperbolic/advective schemes; no citation given (minor) | Lemma (citation added) | Low |
| B1/AppB_Numerical_Stability | All three diagnostics converge monotonically with grid refinement, no regime transitions induced | Appropriately hedged Numerical Evidence claim | Numerical Evidence | Low |
| B1/AppB_Numerical_Stability | Density floor clamp is never disclosed in this stability appendix | A Numerical Stability and Convergence appendix should disclose and test sensitivity to this regularization; it does not | Assumption (flagged, still undisclosed in source) | Medium |
| B1/AppC_Extended_Data_Tables | Orbit rate decreases smoothly with increasing gamma, consistent with gradual crossover not instability | Well-hedged (consistent with, not proves) | Numerical Evidence | Low |
| B1/AppC_Extended_Data_Tables | Complete run-level tables are provided in machine-readable CSV in accompanying data archive | This audit had read-only access to .tex only and could not verify the archive's existence/consistency | Numerical Evidence (external verification pending) | Low |
| B1/AppD_Reproducibility | No result relies on interactive decisions, visual inspection, or post-hoc filtering | Self-attestation of good practice, not independently checkable from the prose alone | Assumption (self-attested) | Low |
| B1/AppD_Reproducibility | Given identical inputs, all extracted metrics are reproducible up to floating point roundoff | Plausible for fixed-seed explicit scheme; no cross-platform/bit-reproducibility test reported | Assumption (plausible, untested) | Low |
| B1/AppE_Negative_Results | At gamma=0.014, identical parameters yield both collapse and orbit outcomes across seeds | Well-supported empirical claim, core evidence for the whole book's thesis; correctly scoped to this gamma and this two-body setup | Numerical Evidence | Low |
| B1/AppE_Negative_Results | Failed regimes persist under horizon scaling (x2, x4), not premature truncations | Well-supported, consistent with Appendix B/C | Numerical Evidence | Low |
| B1/AppE_Negative_Results | Orbital regimes reappear at higher damping than some collapsing ones (non-monotonic reappearance) | No specific gamma values or table/figure cited; Appendix C's own table (Section C.3) shows a monotonically decreasing orbit rate, not obviously corroborating this claim | Numerical Evidence (citation gap) | Medium |
| B1/AppF_Emergent_Structural_Consequences | Gravitational existence exhibits hysteresis (path-dependence beyond simple history dependence) | Consistent with, and appropriately downstream of, Appendix E data; no new mathematical machinery introduced | Numerical Evidence / Physical Interpretation | Low |
| B1/AppF_Emergent_Structural_Consequences | Classical singularities are replaced by closure failure within this framework | Appropriately scoped with within this framework; more modest than Appendix H's later overclaim | Physical Interpretation (appropriately scoped) | Low |
| B1/AppG_Big_Bang | Big Bang identified rigorously as the Pre-Closure Phase of the dynamical system | No mapping given from toy two-body PDE to any cosmological quantity (scale factor, FRW metric, Friedmann equations); rigorously is unsupported | Physical Interpretation / Heuristic analogy | High |
| B1/AppG_Big_Bang | Proposition G.1: closure time t_c > 0 for all regimes that ultimately exhibit gravitational structure | Plausible and likely provable directly from the definitions (continuity argument) but no proof is actually supplied in the text; also mildly circular via ultimately exhibit gravitational structure | Proposition (proof supplied in supplement) | Medium |
| B1/AppG_Big_Bang | This conclusion is not speculative; it is a definitive reinterpretation of cosmic origin | Single most overstrong passage in the manuscript; no cosmological mapping exists to support not speculative/definitive | Physical Interpretation / Heuristic (explicitly speculative) | High |
| B1/AppG_Big_Bang | Different universes may exhibit distinct effective Big Bang times t_c | Speculative extrapolation with no quantitative cosmological content attached | Conjecture (speculative) | Medium |
| B1/AppH_Singularities | Proposition H.1: if |L(t)| to 0 as t to infinity then C[Psi]=0 | Proof given is valid (Cesaro mean of a sequence tending to 0 tends to 0) -- a genuinely sound small result | Proposition (verified sound) | Low |
| B1/AppH_Singularities | Corollary H.1: any regime traditionally identified as singular corresponds to C[Psi]=0 | Category error: GR singularities are defined via curvature blowup/geodesic incompleteness in a Lorentzian spacetime this model does not represent; the corollary does not follow from Prop H.1 without an unstated bridging identification | Physical Interpretation / Heuristic (analogy, bridging assumption stated) | High |
| B1/AppH_Singularities | No physical divergences occur at closure failure; all fields remain finite | Consistent with the model's own numerics (density floor notwithstanding) -- reasonable internal claim | Numerical Evidence | Low |
| B1/AppI_BlackHoles | Black Hole is defined as a spatially localized region of sustained temporal closure | Clean Definition given C_D is well-defined; no black hole metric, horizon, or curvature calculation performed anywhere to connect to actual GR black holes | Definition / Physical Interpretation | Medium |
| B1/AppI_BlackHoles | Proposition I.1: sustained escape from D is dynamically forbidden | No proof given; the Interpretation paragraph argues the converse direction only (escape would reduce L below threshold, if it happened) | Conjecture | High |
| B1/AppI_BlackHoles | M_BH proportional to <|L|>_D^alpha with alpha approx 1 | No data, figure, or table given or cited anywhere supporting this specific exponent | Unverified numeric assertion (flagged) | High |
| B1/AppI_BlackHoles | Hawking radiation, shadows, ringdowns discussed as closure phenomena with no quantitative content | Pure verbal analogy; no metric, photon-sphere calculation, or radiation spectrum computed anywhere | Heuristic / Physical Interpretation | High |
| B1/AppJ_Dark_Matter_Reservoirs | Dark matter does not exist as a substance; conclusion is forced by the equations and simulations | The only validated numerics anywhere in the grounding codebase is a two-body simulation; nothing addresses galaxy-scale dark matter halos; forced by is unsupported | Conjecture (speculative extension, unproven) | High |
| B1/AppJ_Dark_Matter_Reservoirs | Key Numerical Fact: removing reservoir regions destroys flat rotation curves and lensing | No simulation, figure, or table is shown or cited anywhere in this file supporting this claim | Unsupported claim (flagged, no evidence) | High |
| B1/AppJ_Dark_Matter_Reservoirs | Theorem J.1: non-closing regions cannot collapse into bound objects (no stars, compact objects, etc.) | Equivocates the model's narrow technical collapse (C_D=1) with the astrophysical sense (Jeans instability, virialization); no engagement with LambdaCDM structure formation literature | Conjecture (equivocation flagged, literature gap noted) | High |
| B1/AppJ_Dark_Matter_Reservoirs | No direct dark matter detection experiment will ever succeed | Strong falsifiable-sounding prediction asserted with no quantitative particle-physics argument behind it | Conjecture (qualitative) | Medium |
| B1/AppK_Dark_Energy | Dark energy is not energy; it is global temporal non-closure drift, and this is inevitable | No quantitative derivation of an expansion history, w(z), or energy density connects this framework to observed dark energy; inevitable is unsupported | Conjecture / Physical Interpretation (speculative) | High |
| B1/AppK_Dark_Energy | Proposition K.1: without global closure, inertial separation cannot saturate | One-sentence plausibility argument, no equation derived or bounded from the governing PDE system | Conjecture | High |
| B1/AppK_Dark_Energy | Theorem K.1: global non-closure drift is necessarily uniform at leading order | No averaging theorem, fluctuation-spectrum calculation, or definition of leading order given anywhere | Conjecture | High |
| B1/AppL_Dark_Matter_Halo | Numerical scans confirm the halo boundary is generically finite in thickness (citing Section 10; Appendix E) | Cited sections describe the two-body gamma-scan (no spatial structure at all); cannot confirm anything about a spatial closure-density field c(x); direct citation mismatch | Conjecture (citation corrected, spatial claim unvalidated) | High |
| B1/AppL_Dark_Matter_Halo | Proposition L.1 (Halo enhancement): assumed profile yields extended operative mass support | The arithmetic is valid, but conditional on a hand-picked assumed profile never shown to arise from the model's actual dynamics on any simulated many-body configuration | Illustrative Constructive Example (valid math, unvalidated premise) | High |
| B1/AppL_Dark_Matter_Halo | If M_op(r) ~ r across the halo, v(r) approx const (flat rotation curves) | The if is never shown to hold for the model's actual dynamics; presented conditionally here but stated unconditionally in the Final Conclusion (L.10) | Conjecture (explicitly conditional) | High |
| B1/AppL_Dark_Matter_Halo | Final Conclusion: Dark Matter = Halo-Scale Sub-Closure; no new matter is required | States as unconditional fact a result that was explicitly conditional on an untested profile assumption in L.4/L.5 | Physical Interpretation (explicitly conditional) | High |
| B1/AppI2_Multistability | Multistability at fixed gamma: distinct outcomes from identical equations, schemes, and control parameters | Well-supported and consistent with Appendix E's gamma=0.014,0.020 data; a rare case of a consistent citation in this appendix block | Numerical Evidence | Low |
| B1/AppI2_Multistability | Gamma_boundary defined as {gamma : 0 < P_gamma(C=1) < 1} | P_gamma (a probability over the admissible-history ensemble) is never given a formal sample-space/measure definition | Definition (empirical frequency, now explicit) | Medium |
| B1/AppI2_Multistability | Temporal closure is the only invariant criterion consistent with the full numerical evidence | The only is an unsupported uniqueness claim; no systematic search over alternative criteria reported | Numerical Evidence (scoped to criteria tested) | Low |
| B1/AppM_Closure_vs_Force_Laws | Theorem M.1: two systems with identical Psi(t0) but different histories can have different C values | Legitimate existence-by-construction argument grounded in real Appendix E data, but does not exclude ordinary deterministic chaos/sensitive dependence on initial conditions as the mechanism; no Lyapunov-exponent control given | Proposition (numerically constructive, chaos not excluded) | Medium |
| B1/AppM_Closure_vs_Force_Laws | This test cannot be evaded by adding higher-order local terms or modified potentials | No alternative local-in-time model was actually constructed and tested against the data to check this claim | Conjecture (untested against constructed alternatives) | Medium |
| B1/AppM_Closure_vs_Force_Laws | Once observed, it cannot be explained away | Rhetorical overreach on top of an already-incomplete argument (chaos alternative not excluded) | Heuristic (rhetoric removed) | Low |
| B1/AppN_Finite_Stable_Universes | Theorem N.1: N_stable <= floor(gamma_c / Delta_gamma_min) = floor(0.03/0.004) = 7 | Independent re-derivation from the actual validated 45-point scan gives gamma_c=0.022, Delta_gamma_min=0.0010, packing bound = floor(0.022/0.0010) = 22, not 7; the stated constants do not match the real underlying data | Conjecture (numeric discrepancy disclosed) | Very High |
| B1/AppN_Finite_Stable_Universes | Delta_gamma_min approx 0.004 is empirical, not postulated | In the grounding code Delta_gamma_min is literally the median spacing between adjacent sampled gamma grid points -- a property of the chosen scan grid, not a proven lower bound on achievable stable-interval widths; a finer scan could only increase N_stable | Assumption (scan-resolution artifact, explicitly flagged) | Very High |
| B1/AppN_Finite_Stable_Universes | Theorem N.7 (Conditional No-Eighth-Universe Theorem) | Logically valid as a conditional, but the antecedent (completed dense scan) is explicitly unverified per the chapter's own status note; risk of being quoted unconditionally | Conditional Proposition (hypothesis flagged unverified) | Medium |
| B1/AppN_Finite_Stable_Universes | There exists no more than seven dynamically stable universes (ontological reading) | Even granting the internal packing-bound argument, generalizing a 1-parameter, two-body, 2D toy-model result to the number of possible physical universes in reality requires an entirely separate, unstated argument (that gamma alone faithfully parametrizes the space of possible universes) | Conjecture / Speculative Physical Interpretation | Very High |
| B1/AppN_Finite_Stable_Universes | Within the pre-physical selection framework of this work (terminology) | Cross-book terminology error: pre-physical selection framework is a different book in this manuscript series (PrePhysicalSelection_EmergentReality), not this book's temporal-closure framework | Editorial error (corrected) | Low |
| B1/AppN_Finite_Stable_Universes | Lambda_i (inertial stability constant) directly computable from logs | Definition is fine; no actual computed values, table, or figure of Lambda_i shown or cited anywhere in this file | Definition (uninstantiated, flagged) | Medium |
| B2/Appendix O (O.1) | Purely dissipative non-Hamiltonian field system self-organizes into finite discrete horizon-robust inertial phases | Data/figures not shown in this file; claim points to validation done elsewhere without cross-reference | Numerical Evidence (properly scoped) | MEDIUM |
| B2/Appendix O (O.2) | Sustained bounded oscillation from pure dissipation is a qualitatively new organizing principle | No citation to existing dissipative-systems/limit-cycle literature (Van der Pol, Prigogine dissipative structures) that already shows this qualitative behavior | Heuristic / Physical Interpretation | MEDIUM |
| B2/Appendix O (O.6) | Finiteness of stable regimes is dynamically enforced, not assumed | No derivation anywhere in file of why finiteness must hold | Numerical Evidence (bounded scope) | MEDIUM |
| B2/Appendix O (O.7-O.8) | Findings are proven / fully supported, not speculative | Word 'proven' used for numerical/empirical findings with zero in-file data | Numerical Evidence | LOW |
| B2/Appendix Q (Sec 'Gravity as phase') | Pi(gamma)=<<|L|>>/gamma >= Pi_crit is the fundamental gravity condition | 'Ensemble-averaged' double-bracket notation <<|L|>> never defined (ensemble over what variable?); inconsistent with Ch.8's single-bracket time-average-only <|L|> | Definition (pending completion) | MEDIUM |
| B2/Appendix Q ('Gravity Is Discrete') | gamma_c ~ 0.03 is the critical dissipation extinction boundary | Bare empirical number, no in-file citation, error bar, or convergence check | Numerical Evidence (needs citation) | MEDIUM |
| B2/Appendix Q ('Minimum Phase Width') | Delta gamma_min ~ 0.004 is a dynamically enforced minimum stable-phase width | No resolution/convergence study rules out finer gamma-sampling revealing narrower additional windows; Appendix AA's grid-refinement study addresses spatial (Delta x) resolution only, not gamma-scan resolution | Conjecture (pending convergence study) | HIGH |
| B2/Appendix Q ('Finite Number of Gravitational Universes') | N_gravity <= floor(gamma_c/Delta gamma_min) <= 7 | Arithmetic (0.03/0.004=7.5, floor=7) is correct GIVEN the two empirical inputs, but those inputs are themselves unvalidated against scan-resolution artifacts (see row above); 'enforced by dynamics' overclaims | Conditional Corollary (Conjecture-level input) | HIGH |
| B2/Appendix Q ('Effective Acceleration') | g_eff(t)=rddot(t)=-grad Phi_eff(t), potential reconstructed never imposed | Existence of scalar Phi_eff requires the acceleration field to be irrotational (curl-free); this condition is never checked or stated | Assumption (irrotationality unverified) | MEDIUM |
| B2/Appendix Q (Closing) | 'You did not reinterpret gravity. You derived what gravity must be when it is allowed to emerge instead of being imposed.' | No derivation chain from C[Psi] to the stated criteria is shown; purely rhetorical closing | Physical Interpretation | MEDIUM |
| B2/Appendix R (Def. R.1) | Operational definition of 'signal'/coherent influence between regions | None -- well posed, matches actual emergent_causality.py implementation | Definition | LOW |
| B2/Appendix R (R.4/Theorem R.1) | A finite maximum coherent-influence speed c_eff exists, derived from dissipation+coherence | Derivation is dimensional/heuristic (uses ~, <~), not a rigorous analytic bound from the PDE; finiteness of ell_coh is asserted not proven; labeled 'Theorem' with no proof beyond the heuristic argument | Proposition / Numerical Evidence | MEDIUM |
| B2/Appendix R (R.6) | 'No spacetime axioms are invoked' in deriving c_eff | The derivation silently assumes a pre-existing Euclidean spatial metric/distance (the PDE lives on a grid with dx=1.0) to even define 'distance' and 'speed'; true only for Lorentzian/4-metric structure, not spatial metric | Qualified claim | MEDIUM |
| B2/Appendix R (Theorem R.1 wording) | c_eff is 'observer-independent' | 'Observer'/'frame' is not defined until Appendix S (next file) -- forward reference / premature claim | Deferred claim | LOW |
| B2/Appendix S (Def. S.1) | Definition of 'frame' as a reparameterization of (r(t),t) | Space of allowable reparametrizations never specified (all diffeomorphisms? linear maps only?) -- fatal vagueness for everything downstream | Definition (repaired, contingent on added assumption) | HIGH |
| B2/Appendix S (G_adm boxes) | The admissible-frame group G_adm equals the Lorentz group L(c_eff) | Zero derivation between the two boxes; 'preserves one scalar' is a much weaker condition than what singles out the Lorentz group specifically (needs linearity, isotropy, uniform-motion preservation, group/reciprocity property) | Conjecture (pending L1-L4) | HIGH |
| B2/Appendix S (Theorem S.1) | Theorem: admissible frame transformations for closure dynamics are isomorphic to the Lorentz group | NO PROOF TEXT of any kind appears between the theorem statement and the QED mark -- a completely empty 'proof' | Conjecture, unproven | HIGH |
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