Registry Dashboard — Book V: Categorical Macrocosm

Filter rule on this page: dashboard_display — counts the five display types (definition, lemma, proposition, remark, theorem). The full registry root for V has 1419 objects across all types; this dashboard enumerates 1253 of them. See the Filter Rules manifest for the authoritative definitions, or the Release Manifest for the per-book reconciliation across all surfaces.

This dashboard provides a complete inventory and formalization status map for Book V: Categorical Macrocosm. It covers gravity, cosmology, the dark sector, and the falsification predictions. Each registry object carries a scope label (established, tau-effective, or conjectural) and a formalization status. Use the statistics below to assess coverage, the dependency summary to trace proof chains, and the object list to navigate to individual entries in the registry.

Book V Registry Dashboard

Generated: 2026-03-10

Statistics

• Total objects: 1253

• By type: corollary: 20

  definition: 321

  lemma: 5

  proposition: 188

  remark: 459

  theorem: 260

• Formalization: formalized: 884

  not_applicable: 303

  planned: 33

  skeleton: 33

• Scope: conjectural: 109

  established: 11

  framework: 1

  metaphorical: 7

  tau-effective: 1125

Dependency Summary

• Max chain depth: 72 (V.P111)
• Most depended-on: V.T85 (15 uses), V.T192 (10 uses), V.D232 (9 uses)
• No dependencies (foundational): V.R04, V.T06, V.R05, V.R06, V.R07, V.D12, V.R08, V.D13, V.R09, V.D14 …

Part Coverage

Part	Objects	Formalized	Planned	N/A
0	16	8	2	6
1	91	63	2	24
2	158	132	0	25
3	89	75	0	12
4	109	81	2	26
5	300	228	0	63
6	313	205	7	84
7	89	58	0	31
8	72	20	20	32
part03	10	9	0	0
part05	6	5	0	0

Object List

</tr> </tbody> </table>

ID	Type	Name	Scope	Lean
V.R04	remark	The cross-couplings bind the halves	tau-e	form
V.T06	theorem	Fiber Completeness --- IV.T32	tau-e	form
V.R05	remark	The Temporal Complement as test case	tau-e	form
V.R06	remark	The exponent pattern	tau-e	—
V.R07	remark	No scope inflation	tau-e	—
V.D12	definition	Book~IV to Book~V Export Contract	tau-e	form
V.R08	remark	Contract discipline	tau-e	—
V.D13	definition	OnticParticle --- IV.D22	tau-e	form
V.R09	remark	Six, not five, cross-couplings	tau-e	—
V.D14	definition	Defect Tuple --- IV.D20	tau-e	form
V.T07	theorem	Mass Ratio --- IV.T30	tau-e	form
V.R10	remark	No further open items	tau-e	—
V.R11	remark	Comparison with Book~IV	tau-e	—
V.R12	remark	The Book~V--Book~VI boundary	tau-e	form
V.D15	definition	Base Circle tau^1 (Macroscopic)	tau-e	form
V.R13	remark	Why ``circle''?	tau-e	—
V.R14	remark	Temporal = gravitational + weak	tau-e	—
V.D16	definition	Alpha-Tick	tau-e	form
V.R15	remark	Ticks are not uniform	tau-e	form
V.D17	definition	Proper Time (Arc Length)	tau-e	form
V.T08	theorem	Time Derivation Theorem	tau-e	form
V.R16	remark	The chart-level continuum	tau-e	form
V.P03	proposition	Arrow of Time = Orbit Direction	tau-e	form
V.D18	definition	Causal Ordering Relation	tau-e	form
V.R17	remark	Spacelike separation on T^2	tau-e	form
V.T09	theorem	Causal Ordering Theorem	tau-e	form
V.R18	remark	Causality precedes light cones	tau-e	—
V.D19	definition	Geodesic Duration	tau-e	form
V.R19	remark	Duration is not clock time	tau-e	form
V.R20	remark	Two metrics, one space	tau-e	—
V.T10	theorem	Bounded Time Theorem	tau-e	form
V.R21	remark	Finite but unbounded in tick count	tau-e	form
V.R22	remark	alpha_o and omega	tau-e	—
V.R23	remark	No Background Time	tau-e	—
V.D20	definition	Three Temporal Epochs	tau-e	form
V.R24	remark	Epochs are structural, not anthropic	tau-e	—
V.D21	definition	Ignition Depth	tau-e	form
V.R25	remark	Ignition is not a phase transition	tau-e	form
V.T11	theorem	Epoch Existence Theorem	tau-e	form
V.P04	proposition	Pre-Temporal Indistinguishability	tau-e	form
V.R26	remark	The pre-temporal epoch is not ``empty''	tau-e	—
V.D22	definition	Sigma-Now Hypersurface	tau-e	form
V.R27	remark	Simultaneity Is Structural	tau-e	—
V.R28	remark	Foliation versus block universe	tau-e	—
V.T12	theorem	Now-Within-Epoch Theorem	tau-e	form
V.R29	remark	Selection without observers	tau-e	form
V.D23	definition	Coherence Horizon	tau-e	form
V.R30	remark	Completion versus termination	tau-e	—
V.P05	proposition	Mode Counting at Early Depths	tau-e	form
V.D24	definition	Maximal Coupling Condition	tau-e	form
V.D25	definition	Opening Regime	tau-e	form
V.R31	remark	No Initial Singularity	tau-e	—
V.T13	theorem	Opening Regime Theorem	tau-e	form
V.R32	remark	No Past Hypothesis needed --- reprise	tau-e	—
V.D26	definition	Refinement Progression Rate	tau-e	form
V.R33	remark	Inflation as Progression	tau-e	form
V.D27	definition	Null Intertwiner (Photon)	tau-e	form
V.R34	remark	Photons do not ``travel''	tau-e	—
V.T14	theorem	Photon Existence Theorem	tau-e	form
V.P06	proposition	Null Character Uniqueness	tau-e	form
V.D28	definition	Operational Distance	tau-e	form
V.T15	theorem	Distance-Duration Duality	tau-e	form
V.R35	remark	The speed of light is not ``fast''	tau-e	form
V.D29	definition	Refinement Drift (Redshift)	tau-e	form
V.R36	remark	No Doppler Explanation	tau-e	—
V.T16	theorem	Redshift-Depth Relation	tau-e	form
V.D30	definition	Readout Expansion	tau-e	form
V.R37	remark	What expands?	tau-e	—
V.D31	definition	Hubble Readout Parameter	tau-e	form
V.R38	remark	No Dark Energy Needed	tau-e	form
V.R39	remark	Causality sharpened	tau-e	—
V.D32	definition	Distance readout functor	tau-e	form
V.R40	remark	Distance is operational	tau-e	form
V.T17	theorem	Distance Ladder Translation	tau-e	form
V.R41	remark	Gaia and the tau-readout	tau-e	form
V.D33	definition	Cepheid readout calibrator	tau-e	form
V.R42	remark	The Chandrasekhar limit in tau	tau-e	—
V.D34	definition	BAO standard ruler	tau-e	form
V.T18	theorem	Hubble Tension Resolution	tau-e	form
V.R43	remark	Quantitative prediction	tau-e	—
V.D35	definition	Readout curvature	conje	form
V.T19	theorem	Dark Energy Artifact --- First Pass	conje	form
V.R44	remark	Scope and deferral	tau-e	form
V.R45	remark	Forward reference to Part~V	tau-e	—
V.D36	definition	Recombination orbit depth	tau-e	form
V.R46	remark	No new physics in the definition	tau-e	—
V.D37	definition	CMB constraint surface	tau-e	form
V.P07	proposition	CMB multipoles as boundary characters	tau-e	form
V.R47	remark	No new information, new interpretation	tau-e	form
V.P08	proposition	Blackbody as coherence equilibrium	tau-e	form
V.D38	definition	Neutrino decoupling orbit depth	tau-e	form
V.D39	definition	CnuB echo surface	tau-e	form
V.R48	remark	No new prediction for T_mathrmC	tau-e	form
V.P09	proposition	CnuB mass constraint	tau-e	form
V.R49	remark	Two constraint surfaces, one algebra	tau-e	—
V.R50	remark	Testability	tau-e	—
V.D40	definition	Cosmic Stack API	tau-e	form
V.R51	remark	Why an API metaphor	tau-e	—
V.R52	remark	Scope census	tau-e	form
V.R53	remark	Gravity is not a force on the fiber	tau-e	—
V.D41	definition	Clopen frame	tau-e	form
V.P10	proposition	Frame transitions are boundary-determined	tau-e	form
V.R54	remark	No connection needed	tau-e	—
V.D42	definition	Frame holonomy on tau^1	tau-e	form
V.T20	theorem	Gravity as frame holonomy gap	tau-e	form
V.R55	remark	Comparison with gauge holonomy	tau-e	—
V.D43	definition	Holonomy gap element	tau-e	form
V.P11	proposition	Gap refinement coherence	tau-e	form
V.D44	definition	Torus vacuum --- V.D01	tau-e	form
V.T21	theorem	Vacuum shape ratio --- V.T01	tau-e	form
V.D45	definition	Gravitational constant --- V.D02	tau-e	form
V.T22	theorem	G derivation --- V.D02	tau-e	form
V.R56	remark	Lean formalization	tau-e	form
V.D46	definition	Gravitational coupling kappa_tau	tau-e	form
V.C01	corollary	Temporal Complement, revisited	tau-e	form
V.T23	theorem	sigma-equivariance of kappa_tau	tau-e	form
V.R57	remark	Equivalence principle as theorem	tau-e	—
V.T24	theorem	Lorentz covariance theorem	tau-e	form
V.R58	remark	Not a postulate	tau-e	—
V.D47	definition	Null intertwiner	tau-e	form
V.P12	proposition	Light cone is Lorentz-invariant	tau-e	form
V.R59	remark	The photon is a null intertwiner, not a particle	tau-e	form
V.P13	proposition	Speed barrier as constraint saturation	tau-e	form
V.R60	remark	No ``relativistic mass''	tau-e	—
V.D48	definition	Local tau^3 chart	tau-e	form
V.T25	theorem	Minkowski as chart shadow --- cf. III.D76	tau-e	form
V.R61	remark	Riemannian geometry as patching	tau-e	—
V.R62	remark	Ontological priority	tau-e	—
V.C02	corollary	Relativity principle recovered	tau-e	form
V.R63	remark	Michelson--Morley explained	tau-e	—
V.D49	definition	Curvature character --- V.D04	tau-e	form
V.D50	definition	Matter character --- V.D03	tau-e	form
V.R64	remark	Three sectors, not four	tau-e	—
V.D51	definition	tau-Einstein equation --- V.D06	tau-e	form
V.R65	remark	The GR coupling kappa_tau --- V.D05	tau-e	form
V.T26	theorem	Chart shadow recovery	tau-e	form
V.R66	remark	The 8pi factor	tau-e	—
V.T27	theorem	Well-posedness via Hartogs	tau-e	form
V.R67	remark	Singularities are chart artifacts	tau-e	form
V.C03	corollary	tau-Bianchi identity --- V.R01	tau-e	form
V.R68	remark	No admissible refinement without compensation	tau-e	form
V.D52	definition	Linearized tau-Einstein equation	tau-e	form
V.T28	theorem	Newtonian limit recovery	tau-e	form
V.R69	remark	Newton from tau	tau-e	—
V.T29	theorem	Mercury precession from tau-Einstein	tau-e	form
V.R70	remark	No fitting	tau-e	form
V.T30	theorem	Light deflection from tau-Einstein	tau-e	form
V.T31	theorem	Gravitational redshift from tau-Einstein	tau-e	form
V.D53	definition	Gravitational wave in tau-framework	tau-e	form
V.T32	theorem	Gravitational wave properties	tau-e	form
V.R71	remark	Two polarizations from two fiber directions	tau-e	form
V.R72	remark	Inspiral phase is linear	tau-e	—
V.P14	proposition	v_mathrmGW	tau-e	form
V.R73	remark	Graviton mass is zero	tau-e	—
V.R74	remark	The honest claim	tau-e	—
V.D54	definition	Cocycle defect	tau-e	form
V.D55	definition	tau-NF Einstein iteration	tau-e	form
V.R75	remark	No approximation	tau-e	—
V.D56	definition	Truncation-coherent descent	tau-e	form
V.T33	theorem	Existence	tau-e	form
V.T34	theorem	Uniqueness	tau-e	form
V.T35	theorem	Selection	tau-e	form
V.R76	remark	Comparison with orthodox gauge freedom	tau-e	—
V.R77	remark	Why ``address''?	tau-e	form
V.P15	proposition	Convergence in all regimes	tau-e	form
V.T36	theorem	Density cap	tau-e	form
V.D57	definition	Density-saturated character	tau-e	form
V.P16	proposition	Saturation replaces singularity	tau-e	form
V.R78	remark	Comparison with other singularity resolutions	tau-e	—
V.D58	definition	Null intertwiner	tau-e	form
V.D59	definition	Present surface	tau-e	form
V.D60	definition	tau-Horizon	tau-e	form
V.T37	theorem	Horizon as present-surface contraction	tau-e	form
V.R79	remark	No Cauchy horizon instability	tau-e	—
V.R80	remark	Extremal black holes	tau-e	form
V.R81	remark	Forward references	tau-e	—
V.D61	definition	Torus vacuum --- V.D01	tau-e	form
V.T38	theorem	Vacuum shape ratio --- V.T01	tau-e	form
V.R82	remark	Torus, not sphere	tau-e	form
V.D62	definition	Gravitational constant --- V.D02	tau-e	form
V.P17	proposition	G_tau well-defined --- V.P01	tau-e	form
V.R83	remark	Why iota_tau^2, not iota_tau	tau-e	—
V.T39	theorem	Schwarzschild as readout	tau-e	form
V.R84	remark	The Birkhoff theorem in tau	tau-e	—
V.P18	proposition	Schwarzschild regularity	tau-e	form
V.R85	remark	The torus core	tau-e	form
V.D63	definition	Geometric relaxation	tau-e	form
V.D64	definition	Topological relaxation	tau-e	form
V.R86	remark	Observational signature	tau-e	—
V.T40	theorem	The tau-Schwarzschild relation --- V.D08	tau-e	form
V.D65	definition	BH evolution modes --- V.D09	tau-e	form
V.T41	theorem	No-Shrink --- V.T03, preview	tau-e	form
V.R87	remark	Hawking evaporation forbidden --- V.R02	tau-e	form
V.R88	remark	Chandrasekhar limit as maturity threshold --- V.R02	tau-e	form
V.D66	definition	Spherical carrier predicate	tau-e	form
V.R89	remark	Spherical neq static	tau-e	form
V.D67	definition	Equilibrium carrier	tau-e	form
V.D68	definition	GR tension functional	tau-e	form
V.P19	proposition	Tension bounds	tau-e	form
V.D69	definition	Tension profile	tau-e	form
V.D70	definition	Canonical star builder	tau-e	form
V.T42	theorem	Star builder existence and uniqueness	tau-e	form
V.R90	remark	The star builder as constructive proof	tau-e	form
V.D71	definition	Neutron node	tau-e	form
V.D72	definition	Node density and confinement tension	tau-e	form
V.P20	proposition	TOV balance as tension equilibrium	tau-e	form
V.R91	remark	Not an ODE	tau-e	form
V.D73	definition	EW-stable node	tau-e	form
V.T43	theorem	Neutron node EW stability	tau-e	form
V.P21	proposition	Truncation invariance of the star builder	tau-e	form
V.D74	definition	Chandrasekhar threshold	tau-e	form
V.T44	theorem	Chandrasekhar limit	tau-e	form
V.R92	remark	No free parameter	tau-e	form
V.R93	remark	The TOV maximum mass	tau-e	form
V.D75	definition	GR Tension Functional	tau-e	form
V.D76	definition	Coherence Horizon	tau-e	form
V.L01	lemma	Surface Matter Bound	tau-e	form
V.T45	theorem	Tension Monotonicity	tau-e	form
V.R94	remark	No ``tension maximum''	tau-e	form
V.T46	theorem	Structural Threshold --- Forced Topology Relaxation	tau-e	form
V.C04	corollary	TOV Limit	tau-e	form
V.R95	remark	Chandrasekhar limit as the electron-degenerate case	tau-e	form
V.D77	definition	Topology Crossing Event	tau-e	form
V.T47	theorem	Topology Crossing Admissibility	tau-e	form
V.R96	remark	No singularity	tau-e	form
V.R97	remark	Comparison with Penrose's trapped surface theorem	tau-e	—
V.T48	theorem	Defect Cost Jump at Phase Boundary	tau-e	form
V.R98	remark	Defect minimization drives topology selection	tau-e	form
V.R99	remark	Observational tests	tau-e	form
V.D78	definition	Calibration Constant Xi_tau	tau-e	form
V.P22	proposition	Xi_tau is refinement-stable	tau-e	form
V.R100	remark	No SI units enter Xi_tau	tau-e	form
V.D79	definition	Calibration Triangle	tau-e	form
V.T49	theorem	Micro--Macro Bridge	tau-e	form
V.D80	definition	Ring Homomorphism Phi_p,n	tau-e	form
V.P23	proposition	Phi_p,n	tau-e	form
V.R101	remark	The delta_A thread through the triangle	tau-e	form
V.T50	theorem	Complete Dimensional Bridge	tau-e	form
V.R102	remark	The unit problem in orthodox physics	tau-e	form
V.R103	remark	Planck mass as a derived quantity	tau-e	—
V.D81	definition	Gravitational Closing Identity --- V.D11	tau-e	form
V.T51	theorem	Spectral Distance --- IV.T11	tau-e	form
V.D82	definition	Corrected Co-Rotor Coupling --- V.D10	tau-e	form
V.R104	remark	Scope: c_1 = 3/pi is conjectural	tau-e	form
V.T52	theorem	G Prediction --- V.T04, V.T05	tau-e	form
V.R105	remark	G is the least precise fundamental constant	tau-e	form
V.R106	remark	The hierarchy ``problem'' dissolved	tau-e	form
V.T53	theorem	R Formula Independence --- V.R03	tau-e	form
V.R107	remark	Two independent predictions	tau-e	form
V.T54	theorem	10-Link Derivation Chain	tau-e	form
V.R108	remark	The closing identity completes the Hermetic Principle	tau-e	form
V.R109	remark	Open problem: c_1 from first principles	tau-e	form
V.R110	remark	The 7times amplification in R	tau-e	form
V.R111	remark	The explanatory gap	tau-e	—
V.R112	remark	An analogy: pixels and noise	tau-e	form
V.T55	theorem	The Categorical Second Law	tau-e	form
V.R113	remark	Compatibility with Book~IV	tau-e	—
V.D83	definition	Thermodynamic equilibrium---categorical	tau-e	form
V.R114	remark	Not the same as thermal equilibrium	tau-e	—
V.P24	proposition	Defect absorption rate	tau-e	form
V.R115	remark	The role of gravity in ordering	tau-e	—
V.P25	proposition	Weak redistribution preserves defect count	tau-e	form
V.L02	lemma	Geometric contraction of defect support	tau-e	form
V.R116	remark	The contraction rate is the gravitational coupling	tau-e	form
V.C05	corollary	Defect support exhaustion	tau-e	form
V.D84	definition	Coherence horizon	tau-e	form
V.R117	remark	Circulation, not stasis	tau-e	—
V.P26	proposition	The 180^circ inversion	tau-e	form
V.R118	remark	Orbit steps versus physical time	tau-e	form
V.D85	definition	Defect partition of paths	tau-e	form
V.D86	definition	Defect entropy	tau-e	form
V.D87	definition	Refinement entropy	tau-e	form
V.T56	theorem	Entropy splitting	tau-e	form
V.R119	remark	Why varepsilon is harmless	tau-e	—
V.T57	theorem	Defect entropy is bounded	tau-e	form
V.T58	theorem	Defect entropy is monotonically decreasing	tau-e	form
V.C06	corollary	Defect entropy reaches zero	tau-e	form
V.T59	theorem	Refinement entropy grows without bound	tau-e	form
V.R120	remark	The paradox resolved	tau-e	form
V.P27	proposition	Readout projects onto total entropy	tau-e	form
V.R121	remark	The 99.99% that is noise	tau-e	form
V.P28	proposition	iota_tau controls the splitting ratio	tau-e	form
V.P29	proposition	Defect entropy from defect functional	tau-e	form
V.R122	remark	The Penrose puzzle	tau-e	—
V.P30	proposition	Finite initial defect count	tau-e	form
V.R123	remark	Contrast with QFT	tau-e	form
V.D88	definition	Global defect budget	tau-e	form
V.T60	theorem	Finite defect budget	tau-e	form
V.L03	lemma	Integer threshold	tau-e	form
V.T61	theorem	Global Defect Exhaustion	tau-e	form
V.D89	definition	Coherence horizon---refined	tau-e	form
V.R124	remark	Orbit steps are not years	tau-e	form
V.C07	corollary	Finite irreversibility	tau-e	form
V.R125	remark	Contrast with heat death	tau-e	—
V.P31	proposition	Vacuum circulation is periodic	tau-e	form
V.P32	proposition	No Poincar'e recurrence conflict	tau-e	form
V.T62	theorem	Master exhaustion inequality	tau-e	form
V.D90	definition	Defect half-life	tau-e	form
V.R126	remark	Universal half-life	tau-e	form
V.P33	proposition	The arrow has an endpoint	tau-e	form
V.R127	remark	Time continues; the arrow does not	tau-e	—
V.R128	remark	The artificial trichotomy	tau-e	form
V.D91	definition	EM energy transport	tau-e	form
V.P34	proposition	Radiation is B-sector transport	tau-e	form
V.P35	proposition	Conduction is near-field B-sector transport	tau-e	form
V.P36	proposition	Convective transport is B-sector displacement	tau-e	form
V.T63	theorem	alpha governs macroscopic energy transport	tau-e	form
V.R129	remark	Why alpha and not iota_tau^2	tau-e	form
V.D92	definition	Geometric relaxation	tau-e	form
V.D93	definition	Topological relaxation	tau-e	form
V.P37	proposition	Hierarchy of relaxation times	tau-e	form
V.T64	theorem	Heat is electromagnetism	tau-e	form
V.D94	definition	The tau-vacuum	tau-e	form
V.T65	theorem	Vacuum energy is boundary energy	tau-e	form
V.R130	remark	Why no divergence	tau-e	—
V.P38	proposition	QFT vacuum = refinement sum	tau-e	form
V.T66	theorem	The vacuum catastrophe is a category error	tau-e	form
V.C08	corollary	Vacuum source term is finite	tau-e	form
V.R131	remark	Comparison with normal ordering	tau-e	form
V.T67	theorem	H_partial[omega	tau-e	form
V.P39	proposition	Casimir effect from boundary modes	tau-e	form
V.R132	remark	Casimir does not prove mode summation	tau-e	—
V.R133	remark	Data versus interpretation	tau-e	form
V.R134	remark	Two faces of the same problem	tau-e	form
V.T68	theorem	Defect-driven acceleration	tau-e	form
V.D95	definition	Capacity surplus	tau-e	form
V.P40	proposition	No Lambda in the tau-Einstein equation	tau-e	form
V.T69	theorem	Dark energy is a readout artifact	tau-e	form
V.P41	proposition	The 68% is refinement entropy	tau-e	form
V.R135	remark	Where does the 68% go?	tau-e	form
V.R136	remark	Testability	tau-e	form
V.R137	remark	III.T25 is enrichment-layer independent	tau-e	form
V.D96	definition	Macro defect-transport equation	tau-e	form
V.R138	remark	Fiber contributions are not discarded	tau-e	—
V.D97	definition	Macro tau-Navier--Stokes flow	tau-e	form
V.P42	proposition	Compactness of tau^3	tau-e	form
V.T70	theorem	Macro three-condition sufficiency	tau-e	form
V.T71	theorem	Macro tau-NS regularity	tau-e	form
V.R139	remark	Contrast with mathbbR	tau-e	—
V.C09	corollary	No temporal blow-up	tau-e	form
V.D98	definition	Macro tau-Reynolds number	tau-e	form
V.R140	remark	The Reynolds number is bounded	tau-e	—
V.R141	remark	Convective overshooting	tau-e	form
V.R142	remark	No singularity at the innermost stable orbit	tau-e	—
V.R143	remark	Honest claim	tau-e	—
V.P43	proposition	Classical NS as readout	tau-e	form
V.R144	remark	The chart domain is compact	tau-e	—
V.R145	remark	Limitations of K41	tau-e	—
V.D99	definition	tau-turbulent flow	tau-e	form
V.T72	theorem	Macro energy spectrum	tau-e	form
V.R146	remark	The Kolmogorov constant C_K	tau-e	form
V.D100	definition	tau-enstrophy	tau-e	form
V.P44	proposition	Dual cascade decomposition	tau-e	form
V.R147	remark	Batchelor--Kraichnan spectrum	tau-e	form
V.P45	proposition	Vortex stretching bound	tau-e	form
V.R148	remark	She--L'ev^eque formula	tau-e	form
V.D101	definition	Macro charge	tau-e	form
V.T73	theorem	No Isolated Charges	tau-e	form
V.R149	remark	Charge quantization	tau-e	form
V.C10	corollary	Sourceless macro flux	tau-e	form
V.R150	remark	Local charges still exist	tau-e	—
V.C11	corollary	No magnetic monopoles	tau-e	form
V.D102	definition	Macro EM field	tau-e	form
V.C12	corollary	Macro color confinement	tau-e	form
V.R151	remark	Quark-gluon plasma is still confined	tau-e	—
V.D103	definition	Macro current	tau-e	form
V.D104	definition	tau-plasma	tau-e	form
V.T74	theorem	Forced Quasi-Neutrality	tau-e	form
V.P46	proposition	Plasma oscillations	tau-e	form
V.P47	proposition	Plasma cutoff	tau-e	form
V.R152	remark	Ionospheric reflection	tau-e	form
V.P48	proposition	Debye shielding	tau-e	form
V.D105	definition	Debye number	tau-e	form
V.R153	remark	No dark matter in the ICM	tau-e	form
V.D106	definition	MHD limit	tau-e	form
V.D107	definition	tau-MHD system	tau-e	form
V.D108	definition	Magnetic Reynolds number	tau-e	form
V.T75	theorem	Frozen-flux invariant	tau-e	form
V.D109	definition	tau-reconnection event	tau-e	form
V.R154	remark	Sweet--Parker and Petschek	tau-e	—
V.P49	proposition	Reconnection energy bound	tau-e	form
V.P50	proposition	Alfv'en wave dispersion	tau-e	form
V.P51	proposition	Magnetosonic dispersion	tau-e	form
V.D110	definition	MHD instability condition	tau-e	form
V.D111	definition	Mixed-sector mode	tau-e	form
V.P52	proposition	Alfv'en speed as cross-coupling readout	tau-e	form
V.R155	remark	The photon-in-fluid interpretation	tau-e	—
V.D112	definition	Alfv'en orbit	tau-e	form
V.R156	remark	Sufficient energy flux	tau-e	form
V.P53	proposition	ISM Alfv'en cascade	tau-e	form
V.P54	proposition	Crossing preservation	tau-e	form
V.D113	definition	Macro tau-crystal	tau-e	form
V.D114	definition	Macro tau-glass	tau-e	form
V.R157	remark	The glass transition is not a phase transition	tau-e	form
V.D115	definition	First-order macro transition	tau-e	form
V.D116	definition	Second-order macro transition	tau-e	form
V.T76	theorem	Critical surface is codimension 1	tau-e	form
V.R158	remark	Gaia and crystallization	tau-e	—
V.P55	proposition	Neutron star phase sequence	tau-e	form
V.R159	remark	DDT and turbulence	tau-e	form
V.T77	theorem	Phase-transition universality	tau-e	form
V.R160	remark	Universality is structural, not accidental	tau-e	form
V.T78	theorem	Newtonian Limit --- V.T30	tau-e	form
V.R161	remark	The three conditions quantified	tau-e	form
V.P56	proposition	Capacity Gradient as Apparent Dark Matter --- V.P20	tau-e	form
V.D117	definition	Classical Validity Scale --- V.D50	tau-e	form
V.R162	remark	The MOND scale as proxy	tau-e	form
V.T79	theorem	Two-Regime Readout --- V.T31	tau-e	form
V.R163	remark	No free parameters	tau-e	—
V.P57	proposition	Bertrand as Readout Constraint --- V.P21	tau-e	form
V.P58	proposition	Newton's First Law as Limit --- V.P22	tau-e	form
V.T80	theorem	Correspondence Tower --- V.T32	tau-e	form
V.R164	remark	The dark matter debate is a projection artifact	tau-e	form
V.D118	definition	Angular Momentum Character --- V.D51	tau-e	form
V.T81	theorem	Rotational Flux Conservation --- V.T33	tau-e	form
V.T82	theorem	Kepler's First Law --- V.T34	tau-e	form
V.T83	theorem	Kepler's Second Law --- V.T35	tau-e	form
V.R165	remark	Second law is deeper than the first	tau-e	—
V.T84	theorem	Kepler's Third Law --- V.T36	tau-e	form
V.R166	remark	Kepler as theorem, not phenomenology	tau-e	—
V.P59	proposition	Perihelion Advance from tau-GR --- V.P23	tau-e	form
V.P60	proposition	Light Deflection from tau-GR --- V.P24	tau-e	form
V.P61	proposition	Shapiro Delay from tau-GR --- V.P25	tau-e	form
V.R167	remark	All three tests pass with zero fitting	tau-e	—
V.D119	definition	Lensing Character --- V.D52	tau-e	form
V.R168	remark	Heliophysics as readout of H_partial[omega	tau-e	—
V.P62	proposition	Solar System Concordance --- V.P26	tau-e	form
V.D120	definition	Galaxy as Relational Coherence --- V.D53	tau-e	form
V.R169	remark	No void between galaxies	tau-e	—
V.P63	proposition	Modified Jeans Scale --- V.P27	tau-e	form
V.P64	proposition	Galaxy Formation Sequence --- V.P28	conje	form
V.R170	remark	Conjectural scope	tau-e	—
V.D121	definition	Cosmic Web as Capacity Skeleton --- V.D54	tau-e	form
V.P65	proposition	Web Determines Galaxy Locations --- V.P29	tau-e	form
V.R171	remark	Filaments are not gravitational wakes	tau-e	—
V.D122	definition	Morphological Capacity Profile --- V.D55	tau-e	form
V.R172	remark	Morphology is not destiny	tau-e	—
V.P66	proposition	Galactic Virial Theorem --- V.P30	tau-e	form
V.R173	remark	Satellite planes and the missing satellite problem	tau-e	—
V.D123	definition	Galactic Capacity Profile --- V.D56	tau-e	form
V.T85	theorem	Flat Rotation Curve Theorem --- V.T37	tau-e	form
V.C13	corollary	Baryonic Tully--Fisher from Capacity --- V.R20	tau-e	form
V.P67	proposition	Galaxy-by-Galaxy Concordance --- V.P31	tau-e	form
V.R174	remark	What ``conjectural'' means here	tau-e	form
V.P68	proposition	MOND as Capacity Proxy --- V.P32	tau-e	form
V.R175	remark	MOND as approximation theorem	tau-e	—
V.P69	proposition	No Dark Particle Theorem --- V.P33	tau-e	form
V.R176	remark	The asymmetry of falsification	tau-e	form
V.P70	proposition	RAR from Capacity Gradient --- V.P34	tau-e	form
V.D124	definition	Degeneracy Pressure Character --- V.D57	tau-e	form
V.T86	theorem	Chandrasekhar Mass from tau-Framework --- V.T38	tau-e	form
V.R177	remark	White dwarf mass--radius relation	tau-e	form
V.P71	proposition	Neutron Star EOS Structure --- V.P35	tau-e	form
V.T87	theorem	TOV Mass Limit --- V.T39	tau-e	form
V.R178	remark	The mass gap	tau-e	form
V.D125	definition	Black Hole as Maximal Topological Defect --- V.D58	tau-e	form
V.R179	remark	No primordial black holes	tau-e	form
V.T88	theorem	Compact-Object Classification --- V.T40	tau-e	form
V.P72	proposition	Hulse--Taylor Agreement --- V.P36	tau-e	form
V.R180	remark	Pulsars probe the strong-field regime	tau-e	form
V.D126	definition	Topological Channel --- V.D59	tau-e	form
V.T89	theorem	Core Collapse Trigger --- V.T41	tau-e	form
V.R181	remark	The trigger is structural, not thermal	tau-e	form
V.D127	definition	Channel Reversal --- V.D60	tau-e	form
V.P73	proposition	Neutrino Heating Condition --- V.P37	tau-e	form
V.R182	remark	Explosion energy and the mass cut	tau-e	form
V.P74	proposition	Plateau Duration as Readout --- V.P38	tau-e	form
V.D128	definition	r-Process as Rapid Charge Loading --- V.D61	tau-e	form
V.R183	remark	Gold and the r-process	tau-e	—
V.P75	proposition	Proto-Neutron Star Evolution --- V.P39	tau-e	form
V.P76	proposition	Birth Kick and Spin --- V.P40	tau-e	form
V.R184	remark	The carbon connection	tau-e	—
V.P77	proposition	Equatorial focusing	tau-e	form
V.D129	definition	Accretion Funnel (tau-geodesic)	tau-e	form
V.R185	remark	The alpha-viscosity re-read	tau-e	form
V.D130	definition	Jet Axis (Topological Channel)	tau-e	form
V.P78	proposition	Jet-Torus Alignment	tau-e	form
V.T90	theorem	Jet Collimation Theorem	tau-e	form
V.R186	remark	Observational comparison	tau-e	form
V.T91	theorem	Accretion Luminosity Bound	tau-e	form
V.R187	remark	Eddington Limit Re-Read	tau-e	—
V.D131	definition	Synchrotron Readout	tau-e	form
V.R188	remark	The ubiquitous sqrt3	tau-e	form
V.P79	proposition	Neutrino Emission Channel	tau-e	form
V.R189	remark	IceCube neutrinos from AGN	tau-e	form
V.D132	definition	AGN Lifecycle Phase	tau-e	form
V.T92	theorem	AGN Unification Theorem	tau-e	form
V.R190	remark	Quasar Redshift Distribution	tau-e	form
V.R191	remark	Why the exponent is sim 4	tau-e	form
V.D133	definition	Binary Coherent-Instance System	tau-e	form
V.D134	definition	GW Boundary-Character Wave	tau-e	form
V.R192	remark	Why two polarizations, not six	tau-e	—
V.T93	theorem	Chirp Mass from Boundary Holonomy	tau-e	form
V.P80	proposition	GW Energy Flux	tau-e	form
V.R193	remark	LIGO GW150914 Re-Read	tau-e	form
V.D135	definition	Ringdown Readout	tau-e	form
V.T94	theorem	Ringdown Uniqueness Theorem	tau-e	form
V.R194	remark	No-hair test via ringdown	tau-e	form
V.D136	definition	Standard Siren (tau)	tau-e	form
V.R195	remark	Multi-Messenger GW170817	tau-e	form
V.P81	proposition	Merger Graviton Count	tau-e	form
V.D137	definition	Toroidal Shadow (T^2 Readout)	tau-e	form
V.T95	theorem	Shadow Shape Theorem (T^2 vs S^2)	tau-e	form
V.P82	proposition	Inner Shadow Ellipticity	tau-e	form
V.D138	definition	Photon Ring Winding Number	tau-e	form
V.P83	proposition	Photon Subring Spacing	tau-e	form
V.R196	remark	Observational accessibility	tau-e	form
V.D139	definition	Polarization Handedness Signature	tau-e	form
V.T96	theorem	Polarization Winding Theorem	tau-e	form
V.R197	remark	M87* Shadow Re-Read	tau-e	—
V.R198	remark	Sgr A* Shadow Re-Read	tau-e	form
V.R199	remark	The strongest single test	tau-e	—
V.R200	remark	Bullet Cluster Orthodox Argument	tau-e	—
V.D140	definition	Boundary-Mass Offset (tau)	tau-e	form
V.T97	theorem	Bullet Cluster Without Dark Matter	tau-e	form
V.P84	proposition	Lensing-Gas Offset Bound	tau-e	form
V.D141	definition	Handle-Scale Event	tau-e	form
V.D142	definition	Wilson Skeleton (Cosmic Web)	tau-e	form
V.T98	theorem	Cosmic Web from Holonomy Loops	tau-e	form
V.R201	remark	BAO and Holonomy Periodicity	tau-e	—
V.D143	definition	Topological Lensing Signature	tau-e	form
V.P85	proposition	Filament Scaling Relation	tau-e	form
V.R202	remark	Minimal Alphabet and Sector Count	tau-e	form
V.R203	remark	From "Not Needed" to "Not Possible"	tau-e	form
V.D144	definition	Sector Budget	tau-e	form
V.P86	proposition	Coupling Budget Completeness	tau-e	form
V.D145	definition	Sector Exhaustion Decomposition	tau-e	form
V.T99	theorem	Sector Exhaustion Theorem	tau-e	form
V.D146	definition	Dark Sector Hypothesis	tau-e	form
V.T100	theorem	No Fifth Sector	tau-e	form
V.C14	corollary	No Dark Matter Particle	tau-e	form
V.C15	corollary	No Dark Energy Field	tau-e	form
V.C16	corollary	No Fifth Force	tau-e	form
V.R204	remark	What 68% and 27% Actually Are	tau-e	form
V.D147	definition	Readout Artifact	tau-e	form
V.P87	proposition	LCDM Budget Translation	tau-e	form
V.D148	definition	Orbit-Depth-Dependent Readout	tau-e	form
V.D149	definition	Depth-Projected Hubble Parameter	tau-e	form
V.R205	remark	Both Measurements Correct	tau-e	form
V.T101	theorem	H0 Tension Resolution	tau-e	form
V.P88	proposition	Depth-Hubble Monotonicity	tau-e	form
V.D150	definition	Category Error (LCDM)	tau-e	form
V.R206	remark	Correct Parameters Wrong Ontology	tau-e	form
V.D151	definition	Readout Projection Table	tau-e	form
V.P89	proposition	Sigma8 as Defect Amplitude	tau-e	form
V.T102	theorem	Dark Sector Closure	tau-e	form
V.R207	remark	What Would Reopen the Case	tau-e	form
V.R208	remark	From Part V to Part VI	tau-e	—
V.R209	remark	No manifold Rightarrow no singularity	tau-e	form
V.D152	definition	Temporal Opening	tau-e	form
V.R210	remark	Planck Epoch Reinterpretation	tau-e	form
V.D153	definition	Pre-Hadronic Regime	tau-e	form
V.D154	definition	Regime Boundary Character	tau-e	form
V.P90	proposition	Same-Equation Proposition	tau-e	form
V.T103	theorem	No-Singularity Theorem	tau-e	form
V.R211	remark	The Penrose--Hawking theorems are not wrong	tau-e	form
V.T104	theorem	Big Bang = Opening Regime	tau-e	form
V.R212	remark	No ``hot'' or ``cold''	tau-e	—
V.R213	remark	Falsifiability	tau-e	—
V.D155	definition	Regime Invariance	tau-e	form
V.T105	theorem	Regime Invariance Theorem	tau-e	form
V.R214	remark	Contrast with running couplings	tau-e	—
V.C17	corollary	Inflaton No-Go Corollary	tau-e	form
V.D156	definition	Inflationary Regime	tau-e	form
V.D157	definition	e-Fold Readout	tau-e	form
V.R215	remark	Slow Roll Unnecessary	tau-e	form
V.T106	theorem	Flatness from Compactness	tau-e	form
V.P91	proposition	Horizon Resolution	tau-e	form
V.R216	remark	Compactness vs. inflation	tau-e	—
V.R217	remark	A falsifiable prediction	tau-e	form
V.D158	definition	Threshold (Regime Boundary)	tau-e	form
V.D159	definition	Canonical Thresholds	tau-e	form
V.T107	theorem	Ladder Monotonicity	tau-e	form
V.D160	definition	Neutron Threshold L_N	tau-e	form
V.R218	remark	The mass hierarchy at L_N	tau-e	form
V.R219	remark	Sphaleron Open Question	conje	—
V.R220	remark	Sakharov Conditions	tau-e	form
V.D161	definition	Nucleosynthetic Window	tau-e	form
V.T108	theorem	Nucleosynthesis from tau	tau-e	form
V.R221	remark	The lithium problem	tau-e	—
V.P92	proposition	CMB Origin	tau-e	form
V.D162	definition	Threshold Ladder	tau-e	form
V.D199	definition	Opening Bookend	tau-e	—
V.R327	remark	H–He Split	tau-e	—
V.R328	remark	Beta Asymmetry	tau-e	—
V.D200	definition	Density Gradient Narrative	tau-e	—
V.T152	theorem	Density Gradient Monotonicity	tau-e	form
V.D201	definition	Ionization in τ³	tau-e	—
V.D202	definition	Closing Bookend	tau-e	—
V.R329	remark	No Baryon Annihilation	tau-e	—
V.D203	definition	Neutrino Thread	tau-e	—
V.P114	proposition	Neutrino Background Origin	tau-e	form
V.D204	definition	Temporal Phase as Beta Cycle	tau-e	—
V.R330	remark	Arc Summary	tau-e	—
V.D163	definition	Gravitational Tension	tau-e	form
V.D164	definition	Spherical Capacity	tau-e	form
V.D165	definition	Linking Class	tau-e	form
V.D166	definition	Black Hole (Topological Event)	tau-e	form
V.T109	theorem	BH Threshold Theorem	tau-e	form
V.T110	theorem	BH Toroidal Topology	tau-e	form
V.R222	remark	Event horizon as linking boundary	tau-e	—
V.P93	proposition	No Interior Singularity	tau-e	form
V.C18	corollary	Information Preservation	tau-e	form
V.D167	definition	Canonical BH Neighborhood	tau-e	form
V.D168	definition	BH Bipolarity	tau-e	form
V.T111	theorem	Necessary Bipolarity	tau-e	form
V.D169	definition	Polarity Imbalance	tau-e	form
V.P94	proposition	Polarity Convergence	tau-e	form
V.D170	definition	Blueprint	tau-e	form
V.D171	definition	Blueprint fusion mathrmFuse	tau-e	form
V.D172	definition	Blueprint Monoid	tau-e	form
V.T112	theorem	Blueprint Monoid Closure	tau-e	form
V.R223	remark	Irreversibility of mergers	tau-e	—
V.R224	remark	BH Entropy Formula	tau-e	form
V.R225	remark	Export to Book VI	tau-e	—
V.D173	definition	Mature Black Hole	tau-e	form
V.T113	theorem	Defect-Mass Coupling	tau-e	form
V.T114	theorem	No-Shrink Theorem	tau-e	form
V.P95	proposition	Hawking Readout	tau-e	form
V.C19	corollary	No BH Evaporation	tau-e	form
V.R226	remark	Information Paradox Dissolved	tau-e	form
V.D174	definition	Permanence Hallmark	tau-e	form
V.R227	remark	Permanence Export to Book VI	tau-e	—
V.P96	proposition	BH Entropy Formula	tau-e	form
V.R228	remark	Why overlap forces merger	tau-e	—
V.T115	theorem	Merger Normal Form	tau-e	form
V.R229	remark	What the Normal Form does not give	tau-e	—
V.D175	definition	Ringdown mode	tau-e	form
V.P97	proposition	Ringdown damping is structural	tau-e	form
V.D176	definition	BH mass scale at depth n	tau-e	form
V.P98	proposition	Mass gap between adjacent primorial levels	tau-e	form
V.R230	remark	The mass gap and the IMBH desert	tau-e	—
V.R231	remark	Scope note on mass spectrum predictions	tau-e	form
V.D177	definition	Base Wilson loop	tau-e	form
V.P99	proposition	Gravitational deconfinement	tau-e	form
V.R232	remark	Contrast with the strong sector	tau-e	—
V.P100	proposition	BH gravitational Aharonov--Bohm phase	tau-e	form
V.P101	proposition	Radiated energy bound	tau-e	form
V.R233	remark	The 1/sqrt2	tau-e	form
V.D178	definition	Topological motif	tau-e	form
V.T116	theorem	Finite Motif Theorem	tau-e	form
V.R234	remark	Contrast with fractal cosmologies	tau-e	form
V.D179	definition	Saturation radius	tau-e	form
V.T117	theorem	Saturation Radius Theorem	tau-e	form
V.R235	remark	Saturation radius vs. observable universe	tau-e	form
V.D180	definition	Absorbing pattern	tau-e	form
V.T118	theorem	Absorbing Pattern Theorem	tau-e	form
V.R236	remark	No infinite hierarchy	tau-e	form
V.C20	corollary	Global Finiteness	tau-e	form
V.R237	remark	What the chain does NOT prove	tau-e	form
V.P102	proposition	Defect entropy converges to zero	tau-e	form
V.D181	definition	BH-dominated epoch	tau-e	form
V.D182	definition	Coherence horizon	tau-e	form
V.R238	remark	Not a Big Crunch	tau-e	—
V.D183	definition	Generative and refinement phases	tau-e	form
V.R239	remark	Generative does not mean explosive	tau-e	—
V.T119	theorem	Eternal Circulation Theorem	tau-e	form
V.R240	remark	Late-stage conditions favor complexity	conje	form
V.R241	remark	Not the anthropic principle	tau-e	form
V.R242	remark	The key difference: no infinity	tau-e	—
V.R243	remark	Scope note: CMB predictions C2, C5, C6	tau-e	form
V.D184	definition	Falsification levels	tau-e	form
V.R244	remark	The lesson: do not add, recognize	tau-e	—
V.T120	theorem	Boundary Completeness	tau-e	form
V.R245	remark	Comparison with orthodox unification	tau-e	—
V.P103	proposition	Cross-coupling as naturality	tau-e	form
V.R246	remark	Naturality replaces gauge invariance	tau-e	form
V.P104	proposition	iota_tau mediates all ten couplings	tau-e	form
V.R247	remark	Scope note: implementation roadmap	tau-e	—
V.R248	remark	Part VI Achievement Summary	tau-e	—
V.R249	remark	Open Questions	tau-e	—
V.R250	remark	Export to Books VI and VII	tau-e	—
V.R251	remark	Bridge to Part VII	tau-e	—
V.R252	remark	Entries with ``No counterpart''	tau-e	form
V.R253	remark	Preservation does not mean identity	tau-e	—
V.D185	definition	Structural artifact	tau-e	form
V.R254	remark	The common thread	tau-e	—
V.D186	definition	Ontic and readout layers	tau-e	form
V.R255	remark	Orthodox physics is not wrong	tau-e	form
V.D187	definition	Readout interpretation protocol	tau-e	form
V.R256	remark	Where tau adds value	tau-e	—
V.R257	remark	The vacuum catastrophe as diagnostic	tau-e	form
V.R258	remark	The analogy of cartography	tau-e	—
V.T121	theorem	Properties of the correspondence functor	tau-e	form
V.R259	remark	Non-surjectivity is a feature	tau-e	—
V.R260	remark	Respect for the empirical record	tau-e	—
V.R261	remark	The microscope analogy	tau-e	—
V.T122	theorem	Renormalization as tower truncation	tau-e	form
V.R262	remark	Scheme independence explained	tau-e	form
V.D188	definition	UV shield	tau-e	form
V.R263	remark	Comparison with lattice QFT	tau-e	—
V.T123	theorem	Path integral recovery	tau-e	form
V.R264	remark	The Wick rotation is a chart operation	tau-e	form
V.R265	remark	The field as scaffolding	tau-e	—
V.R266	remark	Not all parameters have been computed	tau-e	form
V.T124	theorem	Profinite convergence	tau-e	form
V.R267	remark	Why m_n and not m_e?	tau-e	form
V.R268	remark	GR's scope	tau-e	form
V.R269	remark	Spacetime in tau	tau-e	—
V.T125	theorem	GR as chart shadow of the tau-Einstein identity	tau-e	form
V.T126	theorem	The readout quantization obstruction	tau-e	form
V.R270	remark	Gravity is already quantum	tau-e	—
V.T127	theorem	No singularity theorem	tau-e	form
V.R271	remark	The metric is a derived quantity	tau-e	—
V.T128	theorem	Sector Exhaustion --- no dark sector	tau-e	form
V.R272	remark	Dualities as structural echoes	tau-e	—
V.T129	theorem	Landscape collapse	tau-e	form
V.R273	remark	Occam and dimensions	tau-e	—
V.T130	theorem	Native holography	tau-e	form
V.R274	remark	AdS/CFT as a partial echo	tau-e	form
V.R275	remark	iota_tau is a mathematical constant	tau-e	form
V.R276	remark	Why SUSY was not found at the LHC	tau-e	form
V.R277	remark	The parable of the library	tau-e	form
V.R278	remark	LQG's genuine contribution	tau-e	—
V.T131	theorem	No knobs in tau	tau-e	form
V.R279	remark	The residual manifold in LQG	tau-e	—
V.R280	remark	Four echoes, one architecture	tau-e	—
V.R281	remark	CDT as a computational echo	tau-e	form
V.R282	remark	Sorkin's Lambda prediction	tau-e	form
V.R283	remark	Respect and replacement	tau-e	—
V.P105	proposition	Twistor embedding	tau-e	form
V.R284	remark	Twistors as shadow	tau-e	—
V.P106	proposition	NCG spectral triple from tau	tau-e	form
V.T132	theorem	Gravity as readout --- no renormalization	tau-e	form
V.R285	remark	The two relevant directions	tau-e	—
V.R286	remark	Verlinde's rotation curves	tau-e	—
V.T133	theorem	Completeness of the boundary algebra	tau-e	form
V.R287	remark	No hierarchy among programmes	tau-e	form
V.D189	definition	VM representation of a quantum state	tau-e	form
V.T134	theorem	Measurement problem dissolution	tau-e	form
V.R288	remark	Superposition in the VM	tau-e	—
V.T135	theorem	Bell inequality in tau	tau-e	form
V.R289	remark	Entanglement as address sharing	tau-e	—
V.P107	proposition	Decoherence as address-resolution shadow	tau-e	form
V.R290	remark	The century of confusion	tau-e	—
V.T136	theorem	No singularities in tau	tau-e	form
V.T137	theorem	No UV divergences in tau	tau-e	form
V.R291	remark	Renormalization is correct but unnecessary	tau-e	form
V.T138	theorem	No dark sectors	tau-e	form
V.T139	theorem	Vacuum energy is exactly zero	tau-e	form
V.R292	remark	The 10^120	tau-e	form
V.R293	remark	Why ``dissolve'' and not ``solve''	tau-e	—
V.R294	remark	Honest vs. premature	tau-e	—
V.T140	theorem	Elayer1	tau-e	form
V.R295	remark	Timeline for the topology test	tau-e	form
V.R296	remark	The honest status of galaxy fits	tau-e	—
V.R297	remark	The subtlety of Lambda = 0	tau-e	form
V.R298	remark	Precision of the neutrino prediction	tau-e	form
V.R299	remark	Scope of the delta_A prediction	tau-e	—
V.R300	remark	What would vindicate inflation	tau-e	form
V.T141	theorem	No Shrink---restatement	tau-e	form
V.R301	remark	The information paradox as diagnostic	tau-e	form
V.R302	remark	Fifth force vs. sixth force	tau-e	form
V.R303	remark	What would NOT falsify tau	tau-e	form
V.R304	remark	Falsifiability as strength	tau-e	—
V.R305	remark	One anchor, not zero	tau-e	form
V.R306	remark	The sqrt3	tau-e	form
V.R307	remark	The neutrino exponent	tau-e	—
V.R308	remark	Comparison with the Standard Model	tau-e	form
V.T142	theorem	Elayer1	tau-e	form
V.P111	proposition	Tensor-Square Connection	tau-e	form
V.D192	definition	He-4 Packing Maximum	tau-e	form
V.D193	definition	Face-Conflict Probability	tau-e	form
V.D194	definition	Domain-Wall Correction Factor	tau-e	form
V.D195	definition	Primordial He-4 Mass Fraction	tau-e	form
V.D196	definition	Neutron-to-Proton Ratio from Y_p	tau-e	form
V.T146	theorem	Packing Maximum Theorem	tau-e	form
V.T147	theorem	Face-Conflict Theorem	tau-e	form
V.T148	theorem	Three Decompositions Identity	estab	form
V.T149	theorem	Y_p Derivation from Packing and Correction	tau-e	form
V.T150	theorem	n/p Ratio Derivation	tau-e	form
V.P112	proposition	Y_p Observational Consistency	estab	form
V.R322	remark	71 = p_20 Structural Echo	tau-e	not_
V.D197	definition	Threshold-Dependent Admissibility	tau-e	form
V.D198	definition	Baryogenesis Window	tau-e	form
V.R323	remark	Commutator Magnitude at omega-Crossing	conje	—
V.R324	remark	eta_B Structural Candidate	conje	—
V.R325	remark	Primorial-Confinement Bridge	conje	—
V.R326	remark	Confinement Multiplicity Estimate	conje	—
V.T151	theorem	N_eff from Sector Exhaustion	tau-e	form
V.P113	proposition	Dark Sector Closure	estab	form
V.D205	definition	The Hermetic Principle	tau-e	—
V.D206	definition	Temporal Arc Principle	metap	—
V.D207	definition	Relational Space Principle	tau-e	—
V.D208	definition	Genealogical Branching Rate	tau-e	—
V.L4	lemma	Single Scale Degree of Freedom	tau-e	form
V.L5	lemma	Minimal Mature Black Hole	tau-e	form
V.R331	remark	RG flow as defect flow	tau-e	—
V.R332	remark	EM sign structure and plasma modes	tau-e	—
V.R333	remark	No-isolated-charges as VM-shadow denial	tau-e	—
V.D209	definition	Mixed Reconnection Defect	tau-e	—
V.R334	remark	Alfven mode existence decidability	tau-e	—
V.D210	definition	Minimal Mixed Phase Quantum	tau-e	—
V.D211	definition	Neutron Multiplicity Bound	conje	—
V.D212	definition	Closing Identity	tau-e	—
V.D213	definition	Sector Lift Functor	tau-e	—
V.R337	remark	sigma-equivariance	tau-e	—
V.R338	remark	H_fix[omega] subfield	tau-e	—
V.T154	theorem	The G-alpha Bridge	tau-e	form
V.R341	remark	Three routes, one G	tau-e	—
V.T155	theorem	Mass Hierarchy Exponent	tau-e	form
V.R342	remark	The chain of masses	tau-e	—
V.P115	proposition	Hierarchy as Power Law	tau-e	form
V.R343	remark	Supersymmetry unnecessary	tau-e	—
V.R344	remark	What Dirac got right and wrong	tau-e	—
V.P116	proposition	Precision Budget	tau-e	form
V.R345	remark	Independence from m_e	tau-e	—
V.R346	remark	The exponent as structural invariant	tau-e	—
V.R347	remark	As above, so below --- quantified	metap	—
V.D214	definition	The Master Constant --- Layer 0	estab	—
V.D215	definition	Sector Couplings --- Layer 1	tau-e	—
V.D216	definition	Fine-Structure Constant --- Layer 1	tau-e	—
V.D217	definition	Mass Ratio Formula --- Layer 1	tau-e	—
V.D218	definition	Gravitational Coupling --- Layer 1	tau-e	—
V.D219	definition	The Calibration Anchor --- Layer 2	tau-e	—
V.T156	theorem	Mass Derivations --- Layer 2	tau-e	form
V.R348	remark	The 5-to-1 collapse	tau-e	—
V.R349	remark	Boltzmann and temperature	tau-e	—
V.R350	remark	Room for improvement	tau-e	—
V.D220	definition	The SI Cascade Algorithm	tau-e	—
V.R351	remark	Honest comparison	tau-e	—
V.T157	theorem	Calibration Sufficiency	tau-e	form
V.D221	definition	Export E1: Complete Physical Arena	tau-e	—
V.D222	definition	Export E2: Arrow of Time	tau-e	—
V.D223	definition	Export E3: Entropy Splitting	tau-e	—
V.D224	definition	Export E4: Defect Functional	tau-e	—
V.R352	remark	The eight fluid regimes	tau-e	—
V.D225	definition	Export E5: Black Hole Topology	tau-e	—
V.R353	remark	Scope: partially conjectural (E5)	tau-e	—
V.D226	definition	Export E6: Cosmological Endstate	conje	—
V.R354	remark	Scope: conjectural (E6)	conje	—
V.D227	definition	Export E7: Constants Ledger	tau-e	—
V.D228	definition	Export E8: Falsification Pack	conje	—
V.R355	remark	The 5-20 year horizon	conje	—
V.D229	definition	Export E9: Self-Describing Closure	tau-e	—
V.R356	remark	The seed-crystal principle	tau-e	—
V.R357	remark	Scope propagation rule	tau-e	—
V.T158	theorem	Export Completeness	tau-e	form
V.R358	remark	Enrichment is not reduction	tau-e	—
V.P117	proposition	Entropy splitting and life	tau-e	form
V.R359	remark	All five sectors are biologically necessary	tau-e	—
V.D230	definition	Far-from-equilibrium defect pattern	tau-e	—
V.P118	proposition	Black holes as far-from-equilibrium patterns	tau-e	form
V.R360	remark	The alive-or-not question	metap	—
V.R361	remark	The enrichment functor is not yet constructed	conje	—
V.T159	theorem	The Hermetic Identity	estab	form
V.D231	definition	The iota_tau chain	tau-e	—
V.R362	remark	Why 2/(pi + e)?	tau-e	—
V.P119	proposition	Generator universality	estab	form
V.R363	remark	The apparent running	tau-e	—
V.T160	theorem	Physics as self-description	estab	form
V.R364	remark	Wigner's question answered	metap	—
V.P120	proposition	Structural rigidity	tau-e	form
V.R365	remark	The landscape problem dissolved	tau-e	—
V.T161	theorem	The Hermetic Closure	tau-e	form
V.R366	remark	The theory predicts its own discovery	metap	—
V.T162	theorem	The Hermetic Truth	estab	form
V.P121	proposition	Permanent sector distinction	estab	form
V.R367	remark	Limits are not failures	tau-e	—
V.R368	remark	The logos is the boundary algebra	metap	—
V.R369	remark	The longest derivation chain in physics	metap	—
V.D232	definition	Milgrom Constant from tau	tau-e	form
V.T163	theorem	Baryonic Tully-Fisher Relation from V.T85	tau-e	form
V.T164	theorem	NGC 3198 Zero-Parameter Prediction	tau-e	form
V.P122	proposition	a_0 from H_0 Tension	tau-e	form
V.R370	remark	H_0 Tension as Galactic Scale Effect	tau-e	form
V.R371	remark	MOND Comparison Table	tau-e	form
V.D233	definition	sigma-Polarity Neutrino Mass Matrix	tau-e	form
V.T165	theorem	Mass Eigenvalue Ratio Formula	tau-e	form
V.T166	theorem	Cosmological Bound Satisfaction	tau-e	form
V.P123	proposition	PMNS Mixing Angle Prediction	conje	form
V.R372	remark	Sprint 4 Findings and OQ-C3 Status	tau-e	form
V.T167	theorem	Effective Majorana Mass from sigma-matrix</td>	conje	form
V.D234	definition	T² QNM Mode Structure	estab	form
V.T168	theorem	QNM Fundamental Frequency Ratio = ιτ⁻¹	tau-e	form
V.T169	theorem	GW Echo Times t± = 4GM·ιτ^{±1}/c³	tau-e	form
V.P124	proposition	T² Shadow Radius vs EHT	tau-e	form
V.P125	proposition	T² Entropy = π·ιτ × S² Entropy	tau-e	form
V.R373	remark	LIGO Echo Window: Δt = 4GM(1-ιτ²)/(c³·ιτ)	tau-e	form
V.R374	remark	No-Hawking from τ-vacuum: SA-i Forbids Bogoliubov Modes	tau-e	form
V.T170	theorem	Baryogenesis Exponent 15 = dim(τ³) ×	generators		tau-e	form
V.T171	theorem	(5/6) Threshold Factor Shared with Y_p = 20/81	tau-e	form
V.T172	theorem	Primary Baryogenesis Formula: η_B = α·ιτ¹⁵·(5/6)	tau-e	form
V.P126	proposition	Sakharov CP Source: A-Sector Balanced Polarity via Parity Bridge	tau-e	form
V.R375	remark	Leptogenesis Pathway: Majorana Neutrinos Enable L→B Conversion	conje	form
V.D235	definition	Neutrino Exponent Derivation: Torus Winding Strategy	conje	form
V.T173	theorem	One-Parameter Neutrino Family: Scale-Invariant Result 39.45	conje	form
V.T174	theorem	PMNS Shared Eigenvector Structure: Identity from sigma-Polarity	conje	form
V.P127	proposition	Normal Mass Ordering from sigma-Polarity Structure	tau-e	form
V.R376	remark	OQ-C3 Status after Sprint 4A: Asymmetry is the Open Question	conje	form
V.D236	definition	Neutrino CF-Asymmetry: Grid-Optimal Exponent Offsets from sigma-Polarity Structure	conje	skel
V.T175	theorem	Best sigma-Matrix Exponent Pair from Grid Scan: (Delta_pq=1.16, Delta_pr=0.87) at +7 ppm	tau-e	form
V.T176	theorem	Majorana CP Phases from sigma=C_tau Constraint: phi_2 = 0	tau-e	form
V.P128	proposition	Asymmetry in sigma-Exponents: Delta_pq - Delta_pr approx 2/13 (CF-structural candidate)	conje	form
V.R377	remark	OQ-C3 Status after Sprint 5A: CF Candidate Fails; Grid Optimum Found	conje	skel
V.D237	definition	Neutrino Exponent 4/3 Ratio: Lemniscate Counting	tau-e	skel
V.T177	theorem	(8/7, 6/7) Candidate: Neutrino Mass Ratio from Lemniscate n=7	conje	form
V.T178	theorem	Structural Derivation: Δpq/Δpr = 4/3 from Lemniscate Counting	tau-e	form
V.P129	proposition	Neutrino Span=2=	lobes	; Ratio=4/3 from n=7 Decomposition	conje	form
V.R378	remark	OQ-C3 Status after Sprint 6A: 4/3 Hypothesis	conje	skel
V.D238	definition	SA-i mod-W₃(4) Baryogenesis Mechanism: ιτ¹⁵ = (ιτ³)^W₃(4)	tau-e	form
V.T179	theorem	ιτ¹⁵ from Generator Orbit: 15 = dim(τ³) ×	generators		tau-e	form
V.T180	theorem	(5/6) Uniquely Forced from Threshold Topology	tau-e	form
V.P130	proposition	Baryogenesis First Principles: Generator Orbit + Threshold Uniqueness	tau-e	form
V.R379	remark	V.OP2 Status after Sprint 6C: SA-i mod-5 Mechanism Proposed	tau-e	skel
V.D244	definition	Sector-Collapse Signature at the BH Threshold	tau-e	skel
V.P132	proposition	Truncation-Pipeline Coherence	tau-e	skel
V.R381	remark	QA Harmonization Status (Sprint 7H)	frame	not_
V.D241	definition	T² Quadrupole Shadow Correction Factor: f = 1 + ιτ²/4	tau-e	form
V.D242	definition	T² QNM Eigenvalue Structure: ω_{n,m} = √(n²+m²ιτ⁻²)/(2πr_s)	tau-e	form
V.D243	definition	T² GW Echo Time Formulas with Frequency Bands	tau-e	form
V.T184	theorem	EHT Shadow T² Correction: f = 1 + ιτ²/4 at 2.91% over GR	tau-e	form
V.T185	theorem	QNM Frequency Ratio = ιτ⁻¹ ≈ 2.930 as Clean S²/T² Discriminator	tau-e	form
V.P131	proposition	Three Falsifiable BH T² Predictions with Fiber Structure Derivation	tau-e	form
V.R380	remark	V.OP5 Status: SOLVED via Sprint 7E Observational Suite	tau-e	form
V.D245	definition	SA-i mod-5 Formal Proof: Geometric Series Mechanism	tau-e	skel
V.T187	theorem	Sakharov Conditions from τ³ σ-Involution	tau-e	form
V.T188	theorem	η_B Formal Derivation: α·ιτ¹⁵·(5/6) at −10320 ppm	tau-e	form
V.P133	proposition	Baryogenesis Threshold Placement: n_EW < n_B < n_N	tau-e	skel
V.R382	remark	V.OP2 Status: SOLVED (τ-effective) via Sprint 7D SA-i mod-5 Proof	tau-e	skel
V.D246	definition	Self-Similar NNLO Correction: δ₁=3/175, δ₂=9/700	tau-e	skel
V.T189	theorem	Grid Optimum Structural Derivation: (203/175, 609/700)	tau-e	skel
V.P134	proposition	Self-Similar 4/3 Ratio Preservation under NNLO	tau-e	skel
V.R383	remark	V.OP1/OQ-C3 Status: PARTIAL-IMPROVED after Sprint 7B	tau-e	not_
V.D247	definition	τ-Native Baryon Density ω_b from η_B	tau-e	form
V.D248	definition	Boundary Holonomy Matter Fraction	conje	form
V.T190	theorem	Baryon Density from Master Constant	tau-e	form
V.T191	theorem	Sound Horizon from τ-Native Inputs	tau-e	form
V.T192	theorem	First Peak from Holonomy Matter Fraction	tau-e	form
V.P135	proposition	Structural Acoustic Scale ιτ⁻⁵ Cross-Check	conje	form
V.P136	proposition	CMB Tensor-to-Scalar Ratio r = ιτ⁴	tau-e	form
V.R384	remark	V.OP3 Status: PARTIAL-IMPROVED after Sprint 8A	conje	not_
V.D249	definition	Neutrino Free-Streaming Scale from σ-Polarity Masses	tau-e	skel
V.D250	definition	CνB Temperature Chain	estab	skel
V.T193	theorem	Holonomy Matter NLO Correction Scan	conje	form
V.T194	theorem	Neutrino Phase Shift on CMB Peaks	tau-e	form
V.T195	theorem	Two-Horizon Consistency from ιτ	tau-e	form
V.P137	proposition	Free-Streaming Suppression from τ-Native Masses	tau-e	form
V.P138	proposition	CMB-S4/PTOLEMY/DESI Falsification Suite	tau-e	form
V.R385	remark	V.OP3 Status After Sprint 8B	conje	not_
V.D251	definition	Structural Hubble Parameter h = 2/3 + ιτ²/W₃(3)	tau-e	skel
V.D252	definition	DE-Closure Matter Density ω_m from Ω_Λ and h	conje	skel
V.D253	definition	Scalar Amplitude NLO: A_s = α_τ·ιτ¹⁴·(1−ιτ³/3)	tau-e	skel
V.T196	theorem	Hubble Parameter from τ: h at −120 ppm	tau-e	form
V.T197	theorem	Full CMB Pipeline with Structural h	tau-e	form
V.T198	theorem	Scalar Amplitude NLO: Inflationary Consistency	tau-e	form
V.P139	proposition	Reionization Optical Depth from z_reion = 8	tau-e	form
V.R386	remark	V.OP3 Status After Sprint 8E: h Closes the Pipeline	conje	not_
V.D254	definition	Silk Damping Scale from Holonomy Ratio	tau-e	form
V.R387	remark	η_B Exponent Resolution: 15 vs 20 (Effective 19 = W₅(3))	tau-e	form
V.R388	remark	V.OP3 Status After Wave 14 Phase 1	tau-e	not_
V.D255	definition	Baryon Loading Parameter from tau-Native omega_b	tau-e	form
V.P140	proposition	Peak Height Odd/Even Asymmetry from Baryon Loading	tau-e	form
V.T199	theorem	DE-Closure Matter Density at -675 ppm	tau-e	form
V.D256	definition	Primordial B-Mode Amplitude from r = iota_tau^4	tau-e	form
V.P141	proposition	B-Mode Detection Forecast: CMB-S4 at 14 sigma	tau-e	form
V.T200	theorem	Holonomy Ratio Acceleration Theorem	tau-e	form
V.D257	definition	Bare vs Dressed Acceleration Scales	tau-e	form
V.R389	remark	√ιτ Bridge for BTFR Normalization	tau-e	form
V.D258	definition	20-Galaxy Benchmark Table	tau-e	form
V.R390	remark	Multi-Galaxy Statistical Summary	tau-e	form
V.T201	theorem	Capacity Equation Numerical Solution	conje	form
V.D259	definition	Linearized Capacity Gap	conje	form
V.T202	theorem	tau Interpolation Function	tau-e	form
V.P142	proposition	RAR Quantitative Prediction	tau-e	form
V.T203	theorem	Cluster Capacity Mass Discrepancy	conje	form
V.D261	definition	Cluster-Scale Screening Enhancement	conje	form
V.T204	theorem	Redshift-Dependent Acceleration Scale	tau-e	form
V.P143	proposition	JWST Rotation Curve Predictions	conje	form
V.T205	theorem	c² Cancellation Theorem	tau-e	form
V.D262	definition	Linearized Velocity Scale	tau-e	form
V.T206	theorem	Metric-Capacity Coupling Source Theorem	tau-e	form
V.D263	definition	Metric vs Capacity Source Distinction	tau-e	form
V.D264	definition	Cocycle-Defect Amplification Factor	conje	form
V.P144	proposition	Nonlinear Amplification Pathway	conje	form
V.T207	theorem	V.T85 Algebraic Resolution Theorem	tau-e	form
V.D265	definition	Algebraic Derivation Chain for a₀	tau-e	form
V.R391	remark	Capacity Equation as Qualitative Mechanism	tau-e	not_
V.R392	remark	Connection to Cocycle-Defect Minimization	conje	not_
V.D266	definition	Two-Channel Acceleration Decomposition	tau-e	form
V.D267	definition	Channel Fraction	tau-e	form
V.D268	definition	Transition Radius	tau-e	form
V.T208	theorem	Two-Channel Interpolation Theorem	tau-e	form
V.T209	theorem	Algebraic Distinctness from Standard MOND	tau-e	form
V.P145	proposition	Lie Algebra Cross-Term	tau-e	form
V.P146	proposition	AQUAL as Projection	tau-e	form
V.R393	remark	GEM Mapping	tau-e	form
V.R394	remark	Channel Dominance at Galactic Scales	tau-e	form
V.R395	remark	Bare/Dressed Discrepancy Persists	tau-e	not_
V.T210	theorem	Photon-Capacity Deflection	tau-e	skel
V.P147	proposition	Lensing–Dynamical Mass Equality	tau-e	skel
V.R396	remark	MOND Lensing Comparison	tau-e	not_
V.D269	definition	τ-Native Luminosity Distance	tau-e	skel
V.D270	definition	τ-Native Angular Diameter Distance	tau-e	skel
V.T211	theorem	Distance Modulus from τ-Native Parameters	tau-e	skel
V.D271	definition	Deceleration Parameter q₀	tau-e	skel
V.D272	definition	Einstein Radius from Boundary Holonomy	tau-e	skel
V.T212	theorem	Strong Lensing Cross-Section Enhancement	tau-e	skel
V.R397	remark	SLACS Einstein Radius Comparison	tau-e	not_
V.D273	definition	Weak Lensing Convergence from Boundary Holonomy	tau-e	skel
V.D274	definition	τ-Native Convergence Power Spectrum	conje	skel
V.R398	remark	DES/KiDS Weak Lensing Compatibility	tau-e	not_
V.T213	theorem	Quantitative Bullet Cluster Mass Prediction	tau-e	skel
V.R399	remark	Cluster Lensing Catalog	tau-e	not_
V.D275	definition	BAO Angular Scale from τ-Native d_A	tau-e	skel
V.T214	theorem	DESI Consistency Check	tau-e	skel
V.R400	remark	BAO–CMB Pipeline Closure	tau-e	not_
V.T215	theorem	Dark Sector Consistency Theorem	tau-e	skel
V.R401	remark	τ-vs-ΛCDM Discriminator Table	tau-e	not_
V.T216	theorem	BH Entropy Catalog	tau-e	form
V.R402	remark	BH Entropy Numerical Values	tau-e	not_
V.D276	definition	Readout Gibbs State	tau-e	form
V.T217	theorem	Readout Temperature Theorem	tau-e	form
V.P148	proposition	Readout Spectrum is Planckian	tau-e	form
V.R403	remark	Readout Temperature Numerical Catalog	tau-e	not_
V.D277	definition	Bi-Rotational Dynamics on T²	tau-e	form
V.D278	definition	Synchrotron Frequency Pair	tau-e	form
V.T218	theorem	Bi-Rotational Synchrotron Theorem	tau-e	form
V.D279	definition	Brightness Harmonic Decomposition	tau-e	form
V.T219	theorem	Harmonic Eigenfrequencies	tau-e	form
V.P149	proposition	Sgr A* Horizon-Scale Variability	tau-e	form
V.R404	remark	M87* Variability Timescales	tau-e	not_
V.D280	definition	SMBH Prediction Catalog	tau-e	form
V.T220	theorem	M87* Prediction Suite	tau-e	form
V.T221	theorem	Sgr A* Prediction Suite	tau-e	form
V.R405	remark	EHT Comparison Table	tau-e	not_
V.D281	definition	GW Event Catalog	tau-e	form
V.T222	theorem	Chirp Mass Consistency	tau-e	form
V.T223	theorem	T^2 Ringdown Formula	tau-e	form
V.R406	remark	LIGO Comparison Table	tau-e	not_
V.D282	definition	Blueprint Fusion Energy	tau-e	form
V.T224	theorem	Merger Energy Theorem	tau-e	form
V.P150	proposition	Equal-Mass Energy Fraction	tau-e	form
V.D283	definition	Echo Amplitude Model	conje	form
V.T225	theorem	Echo Detection Threshold	conje	form
V.P151	proposition	Stacked Echo SNR	conje	form
V.R407	remark	Echo Search Table	conje	not_
V.T226	theorem	Black Hole Consistency Theorem	tau-e	skel
V.R408	remark	BH Falsification Summary	tau-e	not_
V.D284	definition	Toroidal B-Field Configuration	tau-e	form
V.T227	theorem	RM Winding Theorem	tau-e	form
V.P152	proposition	RM Gradient Magnitude	conje	not_
V.R409	remark	M87* RM Comparison	tau-e	not_
V.D285	definition	Toroidal Flux Integral	tau-e	form
V.D286	definition	Poloidal Flux Integral	tau-e	form
V.T228	theorem	Flux Threading Theorem	tau-e	form
V.P153	proposition	Flux Ratio	conje	form
V.R410	remark	Topological Flux Protection	tau-e	not_
V.D287	definition	Stokes Parameter Decomposition on T²	tau-e	form
V.T229	theorem	Circular Polarization Winding	tau-e	form
V.P154	proposition	Linear Pol Fraction from Toroidal Coherence	conje	not_
V.R411	remark	EHT M87* Polarization Comparison	tau-e	not_
V.D288	definition	Near-Horizon B-Field	tau-e	form
V.T230	theorem	Magnetic Field Ratio Theorem	tau-e	form
V.P155	proposition	M87* B-Field Estimate	conje	not_
V.R412	remark	Complete Magnetic Table	tau-e	form
V.D289	definition	Jet Poloidal Field	tau-e	form
V.D290	definition	Jet Magnetic Helicity	tau-e	form
V.T231	theorem	Jet Helicity Conservation	tau-e	form
V.T232	theorem	Jet Collimation from Hoop Stress	tau-e	form
V.P156	proposition	Jet B_z/B_φ at Base	conje	not_
V.R413	remark	Reconnection Signatures in Jets	conje	not_
V.D291	definition	Wilson Loop Magnetic Flux	tau-e	form
V.D292	definition	Filament B-Field Alignment	tau-e	form
V.T233	theorem	Filament Magnetic Field Theorem	conje	form
V.P157	proposition	IGMF Magnitude	conje	form
V.P158	proposition	Coherence Length from Topology	conje	not_
V.R414	remark	Vernstrom Comparison	tau-e	not_
V.R415	remark	Blazar IGMF Bound	conje	not_
V.R416	remark	Wave 23 Magnetic Prediction Table	tau-e	form
V.R417	remark	Cross-Theme Consistency	tau-e	—
V.D293	definition	Defect Fraction Function	conje	form
V.D294	definition	Transition Redshift z_acc	conje	form
V.T234	theorem	Ω_Λ Structural Theorem	tau-e	form
V.P159	proposition	w₀ from Defect Dynamics	conje	form
V.R418	remark	Transition Redshift Comparison	conje	form
V.D299	definition	High-z Acceleration Enhancement	tau-e	form
V.T239	theorem	JWST Enhancement Theorem	conje	form
V.P163	proposition	SFE Enhancement Factor	conje	not_
V.P164	proposition	UV Luminosity Function Excess	conje	not_
V.R422	remark	JWST Comparison Table	conje	not_
V.D295	definition	CPL Mapping of τ-EoS	conje	form
V.T235	theorem	No Phantom Crossing Theorem	tau-e	form
V.P160	proposition	DESI Comparison	conje	not_
V.R419	remark	DESI DR2 Confrontation	conje	not_
V.D296	definition	Holonomy Suppression Factor	tau-e	form
V.D297	definition	σ₈ τ-Native	tau-e	form
V.T236	theorem	σ₈ Suppression Theorem	tau-e	form
V.P161	proposition	S₈ Tension Resolution	tau-e	form
V.R420	remark	Weak Lensing Comparison	conje	not_
V.D298	definition	τ-Native Growth Factor	tau-e	form
V.T237	theorem	Growth Equation with τ-EoS	tau-e	form
V.T238	theorem	Growth Index Theorem	tau-e	form
V.P162	proposition	f·σ₈ Comparison Table	tau-e	not_
V.R421	remark	RSD Data Comparison	tau-e	not_
V.D300	definition	τ-Native Transfer Function	conje	form
V.T240	theorem	Power Spectrum Consistency	conje	form
V.P165	proposition	BAO Scale Prediction	conje	form
V.R423	remark	BOSS Data Comparison	conje	not_
V.R424	remark	Wave 24 Dark Energy Prediction Table	tau-e	—
V.R425	remark	ΛCDM Tension Resolution Summary	tau-e	—
V.R426	remark	Cross-Sprint Consistency	tau-e	—
V.D301	definition	Deuterium Bottleneck Temperature	tau-e	form
V.D302	definition	BBN Network Light Elements	tau-e	form
V.D303	definition	BBN Reaction Chain	tau-e	form
V.D304	definition	Sector Assignment	tau-e	form
V.D305	definition	T² Fiber Holonomy Correction	tau-e	form
V.D306	definition	⁷Be Suppression Factor	tau-e	form
V.D307	definition	Complete BBN Abundance Table	tau-e	form
V.T241	theorem	D/H from τ-native η_B	tau-e	form
V.T242	theorem	Sector Distribution {1,4,7}	tau-e	form
V.T243	theorem	Suppression = 1/dim(τ³) = 1/3	tau-e	form
V.T244	theorem	Li-7 Resolution	tau-e	form
V.T245	theorem	Y_p Preservation	tau-e	form
V.T246	theorem	D/H Preservation	tau-e	form
V.T247	theorem	He-3/H from τ-native η_B	tau-e	form
V.P166	proposition	D/H Observational Consistency	tau-e	form
V.P167	proposition	Spite Plateau Consistency	conje	form
V.P168	proposition	Selectivity: Only A ≥ 7 Suppressed	tau-e	form
V.P169	proposition	BBN Table Consistency	tau-e	form
V.R427	remark	D/H Anti-correlation	tau-e	—
V.R428	remark	N3 Status Upgrade	tau-e	—
V.R429	remark	⁷Be Production as B-Sector	tau-e	—
V.R430	remark	EM Phase-Space Restriction	conje	—
V.R431	remark	Voxel Packing Connection	conje	—
V.R432	remark	Packing Threshold at A = 7	conje	—
V.R433	remark	Stellar Depletion and Spite Plateau	conje	—
V.R434	remark	All Four from Single η_B	tau-e	—
V.R435	remark	N3 Falsification Update	tau-e	—
V.R436	remark	N4 Falsification Update	conje	—
V.R437	remark	Wave 25 BBN Prediction Table	conje	—
V.R438	remark	Cross-Sprint Consistency	conje	—
V.D308	definition	Fiber Co-dimension of Dissipative Structures	tau-e	form
V.D309	definition	She-Lévêque τ-Decomposition	tau-e	form
V.T248	theorem	She-Lévêque from τ³ Dimensions	tau-e	form
V.T249	theorem	Intermittency Exponent Agreement	tau-e	form
V.P170	proposition	ζ_p Experimental Consistency	tau-e	form
V.R439	remark	Fitted→Derived	tau-e	—
V.R440	remark	Fiber Filament Interpretation	tau-e	—
V.D310	definition	Kolmogorov Exponent Decomposition	tau-e	form
V.T250	theorem	-5/3 from τ Dimensions	tau-e	form
V.T251	theorem	C_K = 3/2	tau-e	form
V.P171	proposition	C_K Observational Match	tau-e	form
V.R441	remark	Two-Thirds Law	tau-e	—
V.R442	remark	5=	gen	+dim(T²) Interpretation	tau-e	—
V.D311	definition	Fast Reconnection Rate	tau-e	form
V.T252	theorem	v_rec = ιτ² v_A	tau-e	form
V.P172	proposition	Solar Flare Consistency	tau-e	form
V.R443	remark	Sweet-Parker vs τ-Rate	tau-e	—
V.R444	remark	B-Sector Topological Transition	tau-e	—
V.D312	definition	Alfvén Damping Rate	tau-e	form
V.D313	definition	Coronal Heating Flux	tau-e	form
V.T253	theorem	τ-Alfvén Damping = ιτ² ω	tau-e	form
V.P173	proposition	Coronal Flux Consistency	tau-e	form
V.R445	remark	Parker Solar Probe Testability	tau-e	—
V.D314	definition	Decompactification Bound	conje	form
V.D315	definition	Admissibility Class	conje	form
V.T254	theorem	Primorial Convergence Rate	conje	form
V.P174	proposition	Leray Limit Recovery	conje	form
V.R446	remark	Clay Bridge Status	conje	—
V.R447	remark	N5 She-Lévêque Falsification	tau-e	—
V.R448	remark	N6 Reconnection Falsification	tau-e	—
V.R449	remark	N7 Kolmogorov Falsification	tau-e	—
V.R450	remark	Wave 26 Prediction Summary	tau-e	—
V.R451	remark	Cross-Sprint Consistency	tau-e	—
V.T255	theorem	Two-Path Complementarity for First Peak	tau-e	form
V.R452	remark	V.OP3 Status Wave 36A: Two-Path Verified	tau-e	—
V.R453	remark	DESI σ₈ Falsification Window	tau-e	form
V.D316	definition	Peak Position and Height Structure	conje	form
V.T256	theorem	Peak Height Ratios from Baryon Loading	conje	form
V.P175	proposition	Peak Ratio Consistency Check	conje	form
V.D317	definition	Coupled NLO Correction Space	tau-e	form
V.T257	theorem	First Peak NLO at +69 ppm	tau-e	form
V.P176	proposition	Error Cancellation Preserved at NLO	tau-e	form
V.D318	definition	NLO Sound Horizon at Drag Epoch	tau-e	form
V.T258	theorem	BAO Scale from NLO Pipeline	tau-e	form
V.P177	proposition	DESI BAO Consistency	tau-e	—
V.D319	definition	Hubble Derivation Chain	tau-e	form
V.T259	theorem	Uniqueness of Hubble Formula	tau-e	form
V.P178	proposition	Hubble Self-Consistency Check	tau-e	form
V.D320	definition	NLO Peak Positions and Structural Tension	conje	form
V.T260	theorem	Peak-Ratio Tension from Acoustic Physics	conje	form
V.D321	definition	Silk Damping at NLO	tau-e	form
V.P179	proposition	Damping Ratio Preserved at NLO	tau-e	form
V.R454	remark	V.OP13 Status Wave 38: ℓ₁ at +69 ppm	tau-e	—
V.R455	remark	V.OP11 Status Wave 38: BAO Scale	tau-e	—
V.R456	remark	V.OP12 Status Wave 38: H₀ Derived	tau-e	—
V.R457	remark	V.OP3 Status Wave 38: CMB NLO Pipeline	tau-e	—
V.D322	definition	Peak-Ratio Phase-Shift Space	tau-e	form
V.T261	theorem	Peak-Ratio NLO Improvement	tau-e	form
V.P180	proposition	Peak-Ratio Self-Consistency	tau-e	form
V.R458	remark	V.OP3 Status Wave 39: Peak Ratios Resolved	tau-e	—
V.D323	definition	Baryon Density NLO Correction	tau-e	form
V.T262	theorem	Baryon Density Improvement	tau-e	form
V.P181	proposition	Sound Horizon Improvement	tau-e	form
V.R459	remark	V.OP11 Status Wave 39: BAO Scale	tau-e	—
V.D324	definition	S₈ NLO	tau-e	form
V.T263	theorem	S₈ Tension Resolution	tau-e	form
V.P182	proposition	Lensing Consistency	tau-e	form
V.R460	remark	V.OP8 Status: S₈ Tension Resolved	tau-e	—
V.D325	definition	Matter Transfer Function Baseline	tau-e	—
V.R461	remark	Boltzmann Solver Roadmap	tau-e	—
V.R462	remark	τ vs ΛCDM Transfer Comparison	tau-e	—
V.D326	definition	Coupled NLO Correction Space	tau-e	form
V.T264	theorem	Coupled NLO Optimum: δ_h = κ_D/N_e	tau-e	form
V.P183	proposition	Multi-Observable Consistency	tau-e	form
V.R463	remark	Coupled NLO Status	tau-e	—
V.D327	definition	Phase-Shift Exponent Analysis	conje	form
V.R464	remark	Phase-Shift Sensitivity	conje	—
V.D328	definition	ω_m NNLO Correction Space	tau-e	form
V.T265	theorem	ω_m Sub-20 ppm at NNLO	tau-e	form
V.D329	definition	ω_m–Peaks Pareto Barrier	tau-e	form
V.P184	proposition	Density-Sector Consistency	tau-e	—
V.R465	remark	V.OP11/V.OP13 Status: Wave 41	tau-e	—
V.R466	remark	Two-Path Convergence at NNLO	tau-e	—
V.D330	definition	S₈ NNLO Density-Regime Value	tau-e	form
V.T266	theorem	S₈ NNLO Consistent with KiDS and HSC	tau-e	form
V.R467	remark	S₈ Pareto Duality	tau-e	—
V.D331	definition	BAO NNLO Distance Table	tau-e	form
V.T267	theorem	BAO Sub-1300 ppm at NNLO	tau-e	form
V.P185	proposition	BAO Systematic Improvement NLO→NNLO	tau-e	—
V.D332	definition	Density-Sector Observable Scorecard	tau-e	form
V.P186	proposition	Density-Sector Sub-1300 ppm Consistency	tau-e	—
V.R468	remark	Open Problems Status — Wave 42	tau-e	—
V.T268	theorem	Normal Hierarchy from Winding Exponent Order	tau-e	form
V.P187	proposition	One-Parameter Neutrino Mass Structure	tau-e	form
V.D333	definition	Individual Neutrino Mass Table	conje	form
V.T269	theorem	Mass-Squared Splittings from τ-Exponents	conje	form
V.P188	proposition	JUNO/DUNE Cross-Check Predictions	conje	not_
V.T270	theorem	Baryogenesis NLO from Fiber EM Correction	tau-e	form
V.R469	remark	Baryogenesis Assessment (Wave 47)	tau-e	—
V.D334	definition	21cm Brightness Temperature	tau-e	form
V.D335	definition	Spin Temperature Coupling Regimes	conje	form
V.T271	theorem	21cm Absorption Trough from tau-Native Inputs	conje	form
V.P189	proposition	EDGES/HERA/SKA Predictions	conje	—
V.R470	remark	V.OP9 Status: PARTIAL-IMPROVED	tau-e	—
V.D336	definition	Neutron Star Crust-Core Transition Density	conje	form
V.P190	proposition	Crust Fraction from Defect-Tuple Crossing	conje	form
V.R471	remark	Condensed Matter Bridge Status (OQ-C6)	tau-e	—
V.T272	theorem	Readout Channel Entropy Bound	tau-e	form
V.T273	theorem	Ontic Entropy Monotonicity for Mature BH	tau-e	form
V.P191	proposition	Page Curve Analog: Saturation at Permanence	conje	—
V.R472	remark	V.OP6 Status: PARTIAL-IMPROVED	tau-e	—
V.D337	definition	Algebraic–PDE Split for Rotation Curves	tau-e	form
V.P192	proposition	External Computation Requirements for v(r)	conje	form
V.R473	remark	V.OP4 Final Assessment	tau-e	—
V.R474	remark	Topology Imprints on Gravitational Waves	conje	—
V.R475	remark	GW Memory as Topological Transition	conje	—
V.R476	remark	Binary Binding as Shared Holonomy Class	conje	—
V.R477	remark	BKL Billiard Domain = T² Moduli Space (Hartnoll-Yang 2025)	tau-e	—
V.P193	proposition	Modular Image of the τ-Torus	tau-e	—
V.R478	remark	Sensitivity of Spectral Coincidence	conje	—
V.R479	remark	Bipolar Involution and L-Function Reflection	conje	—