Registry — Book V: Categorical Macrocosm

V.C01 Temporal Complement, revisited corollary V.C02 Relativity principle recovered corollary V.C03 tau-Bianchi identity --- V.R01 corollary V.C04 TOV Limit corollary V.C05 Defect support exhaustion corollary V.C06 Defect entropy reaches zero corollary V.C07 Finite irreversibility corollary V.C08 Vacuum source term is finite corollary V.C09 No temporal blow-up corollary V.C10 Sourceless macro flux corollary V.C11 No magnetic monopoles corollary V.C12 Macro color confinement corollary V.C13 Baryonic Tully--Fisher from Capacity --- V.R20 corollary V.C14 No Dark Matter Particle corollary V.C15 No Dark Energy Field corollary V.C16 No Fifth Force corollary V.C17 Inflaton No-Go Corollary corollary V.C18 Information Preservation corollary V.C19 No BH Evaporation corollary V.C20 Global Finiteness corollary V.D100 tau-enstrophy definition V.D101 Macro charge definition V.D102 Macro EM field definition V.D103 Macro current definition V.D104 tau-plasma definition V.D105 Debye number definition V.D106 MHD limit definition V.D107 tau-MHD system definition V.D108 Magnetic Reynolds number definition V.D109 tau-reconnection event definition V.D110 MHD instability condition definition V.D111 Mixed-sector mode definition V.D112 Alfv'en orbit definition V.D113 Macro tau-crystal definition V.D114 Macro tau-glass definition V.D115 First-order macro transition definition V.D116 Second-order macro transition definition V.D117 Classical Validity Scale --- V.D50 definition V.D118 Angular Momentum Character --- V.D51 definition V.D119 Lensing Character --- V.D52 definition V.D12 Book~IV to Book~V Export Contract definition V.D120 Galaxy as Relational Coherence --- V.D53 definition V.D121 Cosmic Web as Capacity Skeleton --- V.D54 definition V.D122 Morphological Capacity Profile --- V.D55 definition V.D123 Galactic Capacity Profile --- V.D56 definition V.D124 Degeneracy Pressure Character --- V.D57 definition V.D125 Black Hole as Maximal Topological Defect --- V.D58 definition V.D126 Topological Channel --- V.D59 definition V.D127 Channel Reversal --- V.D60 definition V.D128 r-Process as Rapid Charge Loading --- V.D61 definition V.D129 Accretion Funnel (tau-geodesic) definition V.D13 OnticParticle --- IV.D22 definition V.D130 Jet Axis (Topological Channel) definition V.D131 Synchrotron Readout definition V.D132 AGN Lifecycle Phase definition V.D133 Binary Coherent-Instance System definition V.D134 GW Boundary-Character Wave definition V.D135 Ringdown Readout definition V.D136 Standard Siren (tau) definition V.D137 Toroidal Shadow (T^2 Readout) definition V.D138 Photon Ring Winding Number definition V.D139 Polarization Handedness Signature definition V.D14 Defect Tuple --- IV.D20 definition V.D140 Boundary-Mass Offset (tau) definition V.D141 Handle-Scale Event definition V.D142 Wilson Skeleton (Cosmic Web) definition V.D143 Topological Lensing Signature definition V.D144 Sector Budget definition V.D145 Sector Exhaustion Decomposition definition V.D146 Dark Sector Hypothesis definition V.D147 Readout Artifact definition V.D148 Orbit-Depth-Dependent Readout definition V.D149 Depth-Projected Hubble Parameter definition V.D15 Base Circle tau^1 (Macroscopic) definition V.D150 Category Error (LCDM) definition V.D151 Readout Projection Table definition V.D152 Temporal Opening definition V.D153 Pre-Hadronic Regime definition V.D154 Regime Boundary Character definition V.D155 Regime Invariance definition V.D156 Inflationary Regime definition V.D157 e-Fold Readout definition V.D158 Threshold (Regime Boundary) definition V.D159 Canonical Thresholds definition V.D16 Alpha-Tick definition V.D160 Neutron Threshold L_N definition V.D161 Nucleosynthetic Window definition V.D162 Threshold Ladder definition V.D163 Gravitational Tension definition V.D164 Spherical Capacity definition V.D165 Linking Class definition V.D166 Black Hole (Topological Event) definition V.D167 Canonical BH Neighborhood definition V.D168 BH Bipolarity definition V.D169 Polarity Imbalance definition V.D17 Proper Time (Arc Length) definition V.D170 Blueprint definition V.D171 Blueprint fusion mathrmFuse definition V.D172 Blueprint Monoid definition V.D173 Mature Black Hole definition V.D174 Permanence Hallmark definition V.D175 Ringdown mode definition V.D176 BH mass scale at depth n definition V.D177 Base Wilson loop definition V.D178 Topological motif definition V.D179 Saturation radius definition V.D18 Causal Ordering Relation definition V.D180 Absorbing pattern definition V.D181 BH-dominated epoch definition V.D182 Coherence horizon definition V.D183 Generative and refinement phases definition V.D184 Falsification levels definition V.D185 Structural artifact definition V.D186 Ontic and readout layers definition V.D187 Readout interpretation protocol definition V.D189 VM representation of a quantum state definition V.D19 Geodesic Duration definition V.D192 He-4 Packing Maximum definition V.D193 Face-Conflict Probability definition V.D194 Domain-Wall Correction Factor definition V.D195 Primordial He-4 Mass Fraction definition V.D196 Neutron-to-Proton Ratio from Y_p definition V.D197 Threshold-Dependent Admissibility definition V.D198 Baryogenesis Window definition V.D199 Opening Bookend definition V.D20 Three Temporal Epochs definition V.D200 Density Gradient Narrative definition V.D201 Ionization in τ³ definition V.D202 Closing Bookend definition V.D203 Neutrino Thread definition V.D204 Temporal Phase as Beta Cycle definition V.D205 The Hermetic Principle definition V.D206 Temporal Arc Principle definition V.D207 Relational Space Principle definition V.D208 Genealogical Branching Rate definition V.D209 Mixed Reconnection Defect definition V.D21 Ignition Depth definition V.D210 Minimal Mixed Phase Quantum definition V.D211 Neutron Multiplicity Bound definition V.D22 Sigma-Now Hypersurface definition V.D220 The SI Cascade Algorithm definition V.D221 Export E1: Complete Physical Arena definition V.D222 Export E2: Arrow of Time definition V.D223 Export E3: Entropy Splitting definition V.D224 Export E4: Defect Functional definition V.D225 Export E5: Black Hole Topology definition V.D226 Export E6: Cosmological Endstate definition V.D227 Export E7: Constants Ledger definition V.D228 Export E8: Falsification Pack definition V.D229 Export E9: Self-Describing Closure definition V.D23 Coherence Horizon definition V.D230 Far-from-equilibrium defect pattern definition V.D231 The iota_tau chain definition V.D232 Milgrom Constant from tau definition V.D233 sigma-Polarity Neutrino Mass Matrix definition V.D234 T² QNM Mode Structure definition V.D235 Neutrino Exponent Derivation: Torus Winding Strategy definition V.D236 Neutrino CF-Asymmetry: Grid-Optimal Exponent Offsets from sigma-Polarity Structure definition V.D237 Neutrino Exponent 4/3 Ratio: Lemniscate Counting definition V.D238 SA-i mod-W₃(4) Baryogenesis Mechanism: ι_τ¹⁵ = (ι_τ³)^W₃(4) definition V.D24 Maximal Coupling Condition definition V.D241 T² Quadrupole Shadow Correction Factor: f = 1 + ι_τ²/4 definition V.D242 T² QNM Eigenvalue Structure: ω_{n,m} = √(n²+m²ι_τ⁻²)/(2πr_s) definition V.D243 T² GW Cycle-Delay Time Formulas with Frequency Bands definition V.D244 Sector-Collapse Signature at the BH Threshold definition V.D245 SA-i mod-5 Formal Proof: Geometric Series Mechanism definition V.D246 Self-Similar NNLO Correction: δ₁=3/175, δ₂=9/700 definition V.D247 τ-Native Baryon Density ω_b from η_B definition V.D248 Boundary Holonomy Matter Fraction definition V.D249 Neutrino Free-Streaming Scale from σ-Polarity Masses definition V.D25 Opening Regime definition V.D250 CνB Temperature Chain definition V.D251 Structural Hubble Parameter h = 2/3 + ι_τ²/W₃(3) definition V.D252 DE-Closure Matter Density ω_m from Ω_Λ and h definition V.D253 Scalar Amplitude NLO: A_s = α_τ·ι_τ¹⁴·(1−ι_τ³/3) definition V.D254 Silk Damping Scale from Holonomy Ratio definition V.D255 Baryon Loading Parameter from tau-Native omega_b definition V.D256 Primordial B-Mode Amplitude from r = iota_tau^4 definition V.D257 Bare vs Dressed Acceleration Scales definition V.D258 20-Galaxy Benchmark Table definition V.D259 Linearized Capacity Gap definition V.D26 Refinement Progression Rate definition V.D261 Cluster-Scale Screening Enhancement definition V.D262 Linearized Velocity Scale definition V.D263 Metric vs Capacity Source Distinction definition V.D264 Cocycle-Defect Amplification Factor definition V.D265 Algebraic Derivation Chain for a₀ definition V.D266 Two-Channel Acceleration Decomposition definition V.D267 Channel Fraction definition V.D268 Transition Radius definition V.D269 τ-Native Luminosity Distance definition V.D27 Null Intertwiner (Photon) definition V.D270 τ-Native Angular Diameter Distance definition V.D271 Deceleration Parameter q₀ definition V.D272 Einstein Radius from Boundary Holonomy definition V.D273 Weak Lensing Convergence from Boundary Holonomy definition V.D274 τ-Native Convergence Power Spectrum definition V.D275 BAO Angular Scale from τ-Native d_A definition V.D276 Readout Gibbs State definition V.D277 Bi-Rotational Dynamics on T² definition V.D278 Synchrotron Frequency Pair definition V.D279 Brightness Harmonic Decomposition definition V.D28 Operational Distance definition V.D280 SMBH Prediction Catalog definition V.D281 GW Event Catalog definition V.D282 Blueprint Fusion Energy definition V.D283 Echo Amplitude Model definition V.D284 Toroidal B-Field Configuration definition V.D285 Toroidal Flux Integral definition V.D286 Poloidal Flux Integral definition V.D287 Stokes Parameter Decomposition on T² definition V.D288 Near-Horizon B-Field definition V.D289 Jet Poloidal Field definition V.D29 Refinement Drift (Redshift) definition V.D290 Jet Magnetic Helicity definition V.D291 Wilson Loop Magnetic Flux definition V.D292 Filament B-Field Alignment definition V.D293 Defect Fraction Function definition V.D294 Transition Redshift z_acc definition V.D295 CPL Mapping of τ-EoS definition V.D296 Holonomy Suppression Factor definition V.D297 σ₈ τ-Native definition V.D298 τ-Native Growth Factor definition V.D299 High-z Acceleration Enhancement definition V.D30 Readout Expansion definition V.D300 τ-Native Transfer Function definition V.D301 Deuterium Bottleneck Temperature definition V.D302 BBN Network Light Elements definition V.D303 BBN Reaction Chain definition V.D304 Sector Assignment definition V.D305 T² Fiber Holonomy Correction definition V.D306 ⁷Be Suppression Factor definition V.D307 Complete BBN Abundance Table definition V.D308 Fiber Co-dimension of Dissipative Structures definition V.D309 She-Lévêque τ-Decomposition definition V.D31 Hubble Readout Parameter definition V.D310 Kolmogorov Exponent Decomposition definition V.D311 Fast Reconnection Rate definition V.D312 Alfvén Damping Rate definition V.D313 Coronal Heating Flux definition V.D314 Decompactification Bound definition V.D315 Admissibility Class definition V.D316 Peak Position and Height Structure definition V.D317 Coupled NLO Correction Space definition V.D318 NLO Sound Horizon at Drag Epoch definition V.D319 Hubble Derivation Chain definition V.D32 Distance readout functor definition V.D320 NLO Peak Positions and Structural Tension definition V.D321 Silk Damping at NLO definition V.D322 Peak-Ratio Phase-Shift Space definition V.D323 Baryon Density NLO Correction definition V.D324 S₈ NLO definition V.D326 Coupled Two-Parameter NLO Correction Space definition V.D327 Phase-Shift Exponent Analysis definition V.D328 ω_m NNLO Correction Space definition V.D329 ω_m–Peaks Pareto Barrier definition V.D33 Cepheid readout calibrator definition V.D330 S₈ NNLO Density-Regime Value definition V.D331 BAO NNLO Distance Table definition V.D332 Density-Sector Observable Scorecard definition V.D333 Individual Neutrino Mass Table definition V.D334 21cm Brightness Temperature definition V.D335 Spin Temperature Coupling Regimes definition V.D336 Neutron Star Crust-Core Transition Density definition V.D337 Algebraic–PDE Split for Rotation Curves definition V.D338 Internal vs Diagrammatic Viewpoint definition V.D339 NF-Prefix Cylinder definition V.D34 BAO standard ruler definition V.D340 Cumulative Topology Change definition V.D341 Wilson-Loop Superstructure definition V.D342 omega-Germ Normalizer Norm_omega definition V.D343 Stability Index of omega-Germ definition V.D344 Admissible Endomorphism Monoid HolEnd^adm_tau definition V.D35 Readout curvature definition V.D36 Recombination orbit depth definition V.D37 CMB constraint surface definition V.D38 Neutrino decoupling orbit depth definition V.D39 CnuB echo surface definition V.D40 Cosmic Stack API definition V.D41 Clopen frame definition V.D42 Frame holonomy on tau^1 definition V.D43 Holonomy gap element definition V.D44 Torus vacuum --- V.D01 definition V.D45 Gravitational constant --- V.D02 definition V.D46 Gravitational coupling kappa_tau definition V.D47 Null intertwiner definition V.D48 Local tau^3 chart definition V.D49 Curvature character --- V.D04 definition V.D50 Matter character --- V.D03 definition V.D51 tau-Einstein equation --- V.D06 definition V.D52 Linearized tau-Einstein equation definition V.D53 Gravitational wave in tau-framework definition V.D54 Cocycle defect definition V.D55 tau-NF Einstein iteration definition V.D56 Truncation-coherent descent definition V.D57 Density-saturated character definition V.D58 Null intertwiner definition V.D59 Present surface definition V.D60 tau-Horizon definition V.D61 Torus vacuum --- V.D01 definition V.D62 Gravitational constant --- V.D02 definition V.D63 Geometric relaxation definition V.D64 Topological relaxation definition V.D65 BH evolution modes --- V.D09 definition V.D66 Spherical carrier predicate definition V.D67 Equilibrium carrier definition V.D68 GR tension functional definition V.D69 Tension profile definition V.D70 Canonical star builder definition V.D71 Neutron node definition V.D72 Node density and confinement tension definition V.D73 EW-stable node definition V.D74 Chandrasekhar threshold definition V.D75 GR Tension Functional definition V.D76 Coherence Horizon definition V.D77 Topology Crossing Event definition V.D78 Calibration Constant Xi_tau definition V.D79 Calibration Triangle definition V.D80 Ring Homomorphism Phi_p,n definition V.D81 Gravitational Closing Identity --- V.D11 definition V.D82 Corrected Co-Rotor Coupling --- V.D10 definition V.D83 Thermodynamic equilibrium---categorical definition V.D84 Coherence horizon definition V.D85 Defect partition of paths definition V.D86 Defect entropy definition V.D87 Refinement entropy definition V.D88 Global defect budget definition V.D89 Coherence horizon---refined definition V.D90 Defect half-life definition V.D91 EM energy transport definition V.D92 Geometric relaxation definition V.D93 Topological relaxation definition V.D94 The tau-vacuum definition V.D95 Capacity surplus definition V.D96 Macro defect-transport equation definition V.D97 Macro tau-Navier--Stokes flow definition V.D98 Macro tau-Reynolds number definition V.D99 tau-turbulent flow definition V.L01 Surface Matter Bound lemma V.L02 Geometric contraction of defect support lemma V.L03 Integer threshold lemma V.L10 Transporter-Hartogs Commutativity lemma V.L11 Carriers as Germ Images lemma V.L4 Single Scale Degree of Freedom lemma V.L5 Minimal Mature Black Hole lemma V.L6 k* Selection Rule lemma V.L7 Clopen Nesting of NF-Prefix Cylinders lemma V.L8 Idempotence of Norm_omega lemma V.L9 Basin Preservation under Ringdown Dynamics lemma V.P03 Arrow of Time = Orbit Direction proposition V.P04 Pre-Temporal Indistinguishability proposition V.P05 Mode Counting at Early Depths proposition V.P06 Null Character Uniqueness proposition V.P07 CMB multipoles as boundary characters proposition V.P08 Blackbody as coherence equilibrium proposition V.P09 CnuB mass constraint proposition V.P10 Frame transitions are boundary-determined proposition V.P100 BH gravitational Aharonov--Bohm phase proposition V.P101 Radiated energy bound proposition V.P102 Defect entropy converges to zero proposition V.P103 Cross-coupling as naturality proposition V.P104 iota_tau mediates all ten couplings proposition V.P105 Twistor embedding proposition V.P106 NCG spectral triple from tau proposition V.P107 Decoherence as address-resolution shadow proposition V.P11 Gap refinement coherence proposition V.P111 Tensor-Square Connection proposition V.P112 Y_p Observational Consistency proposition V.P113 Dark Sector Closure proposition V.P114 Neutrino Background Origin proposition V.P115 Hierarchy as Power Law proposition V.P116 Precision Budget proposition V.P117 Entropy splitting and life proposition V.P118 Black holes as far-from-equilibrium patterns proposition V.P119 Generator universality proposition V.P12 Light cone is Lorentz-invariant proposition V.P120 Structural rigidity proposition V.P121 Permanent sector distinction proposition V.P122 a_0 from H_0 Tension proposition V.P123 PMNS Mixing Angle Prediction proposition V.P124 T² Shadow Radius vs EHT proposition V.P125 T² Entropy = π·ι_τ × S² Entropy proposition V.P126 Sakharov CP Source: A-Sector Balanced Polarity via Parity Bridge proposition V.P127 Normal Mass Ordering from sigma-Polarity Structure proposition V.P128 Asymmetry in sigma-Exponents: Delta_pq - Delta_pr approx 2/13 (CF-structural candidate) proposition V.P129 Neutrino Span=2=|lobes|; Ratio=4/3 from n=7 Decomposition proposition V.P13 Speed barrier as constraint saturation proposition V.P130 Baryogenesis First Principles: Generator Orbit + Threshold Uniqueness proposition V.P131 Three Falsifiable BH T² Predictions with Fiber Structure Derivation proposition V.P132 Truncation-Pipeline Coherence proposition V.P133 Baryogenesis Threshold Placement: n_EW < n_B < n_N proposition V.P134 Self-Similar 4/3 Ratio Preservation under NNLO proposition V.P135 Structural Acoustic Scale ι_τ⁻⁵ Cross-Check proposition V.P136 CMB Tensor-to-Scalar Ratio r = ι_τ⁴ proposition V.P137 Free-Streaming Suppression from τ-Native Masses proposition V.P138 CMB-S4/PTOLEMY/DESI Falsification Suite proposition V.P139 Reionization Optical Depth from z_reion = 8 proposition V.P14 v_mathrmGW proposition V.P140 Peak Height Odd/Even Asymmetry from Baryon Loading proposition V.P141 B-Mode Detection Forecast: CMB-S4 at 14 sigma proposition V.P142 RAR Quantitative Prediction proposition V.P143 JWST Rotation Curve Predictions proposition V.P144 Nonlinear Amplification Pathway proposition V.P145 Lie Algebra Cross-Term proposition V.P146 AQUAL as Projection proposition V.P147 Lensing–Dynamical Mass Equality corollary V.P148 Readout Spectrum is Planckian proposition V.P149 Sgr A* Horizon-Scale Variability proposition V.P15 Convergence in all regimes proposition V.P150 Equal-Mass Energy Fraction proposition V.P151 Stacked Echo SNR proposition V.P152 RM Gradient Magnitude proposition V.P153 Flux Ratio proposition V.P154 Linear Pol Fraction from Toroidal Coherence proposition V.P155 M87* B-Field Estimate proposition V.P156 Jet B_z/B_φ at Base proposition V.P157 IGMF Magnitude proposition V.P158 Coherence Length from Topology proposition V.P159 w₀ from Defect Dynamics proposition V.P16 Saturation replaces singularity proposition V.P160 DESI Comparison proposition V.P161 S₈ Tension Resolution proposition V.P162 f·σ₈ Comparison Table proposition V.P163 SFE Enhancement Factor proposition V.P164 UV Luminosity Function Excess proposition V.P165 BAO Scale Prediction proposition V.P166 D/H Observational Consistency proposition V.P167 Spite Plateau Consistency proposition V.P168 Selectivity: Only A ≥ 7 Suppressed proposition V.P169 BBN Table Consistency proposition V.P17 G_tau well-defined --- V.P01 proposition V.P170 ζ_p Experimental Consistency proposition V.P171 C_K Observational Match proposition V.P172 Solar Flare Consistency proposition V.P173 Coronal Flux Consistency proposition V.P174 Leray Limit Recovery proposition V.P175 Peak Ratio Consistency Check proposition V.P178 Hubble Self-Consistency Check proposition V.P18 Schwarzschild regularity proposition V.P180 Peak-Ratio Self-Consistency proposition V.P181 Sound Horizon Improvement proposition V.P182 Lensing Consistency proposition V.P183 Multi-Observable Consistency proposition V.P185 BAO Systematic Improvement NLO→NNLO proposition V.P186 Density-Sector Sub-1300 ppm Consistency proposition V.P187 One-Parameter Neutrino Mass Structure proposition V.P188 JUNO/DUNE Cross-Check Predictions proposition V.P189 EDGES/HERA/SKA Predictions proposition V.P19 Tension bounds proposition V.P190 Crust Fraction from Defect-Tuple Crossing proposition V.P191 Page Curve Analog: Saturation at Permanence proposition V.P192 External Computation Requirements for v(r) proposition V.P193 Modular Image of the τ-Torus proposition V.P194 CP Asymmetry from A-Sector Polarity proposition V.P195 Polarity Convergence via Contraction Mapping proposition V.P196 Imbalance as Multiplicative Homomorphism proposition V.P20 TOV balance as tension equilibrium proposition V.P21 Truncation invariance of the star builder proposition V.P22 Xi_tau is refinement-stable proposition V.P23 Phi_p,n proposition V.P24 Defect absorption rate proposition V.P25 Weak redistribution preserves defect count proposition V.P26 The 180^circ inversion proposition V.P27 Readout projects onto total entropy proposition V.P28 iota_tau controls the splitting ratio proposition V.P29 Defect entropy from defect functional proposition V.P30 Finite initial defect count proposition V.P31 Vacuum circulation is periodic proposition V.P32 No Poincar'e recurrence conflict proposition V.P33 The arrow has an endpoint proposition V.P34 Radiation is B-sector transport proposition V.P35 Conduction is near-field B-sector transport proposition V.P36 Convective transport is B-sector displacement proposition V.P37 Hierarchy of relaxation times proposition V.P38 QFT vacuum = refinement sum proposition V.P39 Casimir effect from boundary modes proposition V.P40 No Lambda in the tau-Einstein equation proposition V.P41 The 68% is refinement entropy proposition V.P42 Compactness of tau^3 proposition V.P43 Classical NS as readout proposition V.P44 Dual cascade decomposition proposition V.P45 Vortex stretching bound proposition V.P46 Plasma oscillations proposition V.P47 Plasma cutoff proposition V.P48 Debye shielding proposition V.P49 Reconnection energy bound proposition V.P50 Alfv'en wave dispersion proposition V.P51 Magnetosonic dispersion proposition V.P52 Alfv'en speed as cross-coupling readout proposition V.P53 ISM Alfv'en cascade proposition V.P54 Crossing preservation proposition V.P55 Neutron star phase sequence proposition V.P56 Capacity Gradient as Apparent Dark Matter --- V.P20 proposition V.P57 Bertrand as Readout Constraint --- V.P21 proposition V.P58 Newton's First Law as Limit --- V.P22 proposition V.P59 Perihelion Advance from tau-GR --- V.P23 proposition V.P60 Light Deflection from tau-GR --- V.P24 proposition V.P61 Shapiro Delay from tau-GR --- V.P25 proposition V.P62 Solar System Concordance --- V.P26 proposition V.P63 Modified Jeans Scale --- V.P27 proposition V.P64 Galaxy Formation Sequence --- V.P28 proposition V.P65 Web Determines Galaxy Locations --- V.P29 proposition V.P66 Galactic Virial Theorem --- V.P30 proposition V.P67 Galaxy-by-Galaxy Concordance --- V.P31 proposition V.P68 MOND as Capacity Proxy --- V.P32 proposition V.P69 No Dark Particle Theorem --- V.P33 proposition V.P70 RAR from Capacity Gradient --- V.P34 proposition V.P71 Neutron Star EOS Structure --- V.P35 proposition V.P72 Hulse--Taylor Agreement --- V.P36 proposition V.P73 Neutrino Heating Condition --- V.P37 proposition V.P74 Plateau Duration as Readout --- V.P38 proposition V.P75 Proto-Neutron Star Evolution --- V.P39 proposition V.P76 Birth Kick and Spin --- V.P40 proposition V.P77 Equatorial focusing proposition V.P78 Jet-Torus Alignment proposition V.P79 Neutrino Emission Channel proposition V.P80 GW Energy Flux proposition V.P81 Merger Graviton Count proposition V.P82 Inner Shadow Ellipticity proposition V.P83 Photon Subring Spacing proposition V.P84 Lensing-Gas Offset Bound proposition V.P85 Filament Scaling Relation proposition V.P86 Coupling Budget Completeness proposition V.P87 LCDM Budget Translation proposition V.P88 Depth-Hubble Monotonicity proposition V.P89 Sigma8 as Defect Amplitude proposition V.P90 Same-Equation Proposition proposition V.P91 Horizon Resolution proposition V.P92 CMB Origin proposition V.P93 No Interior Singularity proposition V.P94 Polarity Convergence proposition V.P95 Hawking Readout proposition V.P96 BH Entropy Formula proposition V.P97 Ringdown damping is structural proposition V.P98 Mass gap between adjacent primorial levels proposition V.P99 Gravitational deconfinement proposition V.R04 The cross-couplings bind the halves remark V.R05 The Temporal Complement as test case remark V.R06 The exponent pattern remark V.R07 No scope inflation remark V.R08 Contract discipline remark V.R09 Six, not five, cross-couplings remark V.R100 No SI units enter Xi_tau remark V.R101 The delta_A thread through the triangle remark V.R102 The unit problem in orthodox physics remark V.R103 Planck mass as a derived quantity remark V.R104 Scope: c_1 = 3/pi is conjectural remark V.R105 G is the least precise fundamental constant remark V.R106 The hierarchy ``problem'' dissolved remark V.R107 Two independent predictions remark V.R108 The closing identity completes the Hermetic Principle remark V.R109 Open problem: c_1 from first principles remark V.R110 The 7times amplification in R remark V.R111 The explanatory gap remark V.R112 An analogy: pixels and noise remark V.R113 Compatibility with Book~IV remark V.R114 Not the same as thermal equilibrium remark V.R115 The role of gravity in ordering remark V.R116 The contraction rate is the gravitational coupling remark V.R117 Circulation, not stasis remark V.R118 Orbit steps versus physical time remark V.R119 Why varepsilon is harmless remark V.R12 The Book~V--Book~VI boundary remark V.R120 The paradox resolved remark V.R121 The 99.99% that is noise remark V.R122 The Penrose puzzle remark V.R123 Contrast with QFT remark V.R124 Orbit steps are not years remark V.R125 Contrast with heat death remark V.R126 Universal half-life remark V.R127 Time continues; the arrow does not remark V.R128 The artificial trichotomy remark V.R129 Why alpha and not iota_tau^2 remark V.R13 Why ``circle''? remark V.R130 Why no divergence remark V.R131 Comparison with normal ordering remark V.R132 Casimir does not prove mode summation remark V.R133 Data versus interpretation remark V.R134 Two faces of the same problem remark V.R135 Where does the 68% go? remark V.R136 Testability remark V.R137 III.T25 is enrichment-layer independent remark V.R138 Fiber contributions are not discarded remark V.R139 Contrast with mathbbR remark V.R14 Temporal = gravitational + weak remark V.R140 The Reynolds number is bounded remark V.R141 Convective overshooting remark V.R142 No singularity at the innermost stable orbit remark V.R143 Honest claim remark V.R144 The chart domain is compact remark V.R145 Limitations of K41 remark V.R146 The Kolmogorov constant C_K remark V.R147 Batchelor--Kraichnan spectrum remark V.R149 Charge quantization remark V.R15 Ticks are not uniform remark V.R150 Local charges still exist remark V.R151 Quark-gluon plasma is still confined remark V.R152 Ionospheric reflection remark V.R153 No dark matter in the ICM remark V.R154 Sweet--Parker and Petschek remark V.R155 The photon-in-fluid interpretation remark V.R156 Sufficient energy flux remark V.R157 The glass transition is not a phase transition remark V.R158 Gaia and crystallization remark V.R159 DDT and turbulence remark V.R16 The chart-level continuum remark V.R160 Universality is structural, not accidental remark V.R161 The three conditions quantified remark V.R162 The MOND scale as proxy remark V.R163 No free parameters remark V.R164 The dark matter debate is a projection artifact remark V.R165 Second law is deeper than the first remark V.R166 Kepler as theorem, not phenomenology remark V.R167 All three tests pass with zero fitting remark V.R168 Heliophysics as readout of H_partial[omega remark V.R169 No void between galaxies remark V.R17 Spacelike separation on T^2 remark V.R170 Conjectural scope remark V.R171 Filaments are not gravitational wakes remark V.R172 Morphology is not destiny remark V.R173 Satellite planes and the missing satellite problem remark V.R174 What ``conjectural'' means here remark V.R175 MOND as approximation theorem remark V.R176 The asymmetry of falsification remark V.R177 White dwarf mass--radius relation remark V.R178 The mass gap remark V.R179 No primordial black holes remark V.R180 Pulsars probe the strong-field regime remark V.R181 The trigger is structural, not thermal remark V.R182 Explosion energy and the mass cut remark V.R183 Gold and the r-process remark V.R184 The carbon connection remark V.R185 The alpha-viscosity re-read remark V.R186 Observational comparison remark V.R187 Eddington Limit Re-Read remark V.R188 The ubiquitous sqrt3 remark V.R189 IceCube neutrinos from AGN remark V.R19 Duration is not clock time remark V.R190 Quasar Redshift Distribution remark V.R191 Why the exponent is sim 4 remark V.R192 Why two polarizations, not six remark V.R193 LIGO GW150914 Re-Read remark V.R194 No-hair test via ringdown remark V.R195 Multi-Messenger GW170817 remark V.R196 Observational accessibility remark V.R197 M87* Shadow Re-Read remark V.R198 Sgr A* Shadow Re-Read remark V.R199 The strongest single test remark V.R20 Two metrics, one space remark V.R200 Bullet Cluster Orthodox Argument remark V.R201 BAO and Holonomy Periodicity remark V.R202 Minimal Alphabet and Sector Count remark V.R203 From "Not Needed" to "Not Possible" remark V.R204 What 68% and 27% Actually Are remark V.R205 Both Measurements Correct remark V.R206 Correct Parameters Wrong Ontology remark V.R207 What Would Reopen the Case remark V.R208 From Part V to Part VI remark V.R209 No manifold Rightarrow no singularity remark V.R21 Finite but unbounded in tick count remark V.R210 Planck Epoch Reinterpretation remark V.R211 The Penrose--Hawking theorems are not wrong remark V.R212 No ``hot'' or ``cold'' remark V.R213 Falsifiability remark V.R214 Contrast with running couplings remark V.R215 Slow Roll Unnecessary remark V.R216 Compactness vs. inflation remark V.R217 A falsifiable prediction remark V.R218 The mass hierarchy at L_N remark V.R219 Sphaleron Open Question remark V.R22 alpha_o and omega remark V.R220 Sakharov Conditions remark V.R221 The lithium problem remark V.R222 Event horizon as linking boundary remark V.R223 Irreversibility of mergers remark V.R224 BH Entropy Formula Interpretation remark V.R225 Export to Book VI remark V.R226 Information Paradox Dissolved remark V.R227 Permanence Export to Book VI remark V.R228 Why overlap forces merger remark V.R229 What the Normal Form does not give remark V.R23 No Background Time remark V.R230 The mass gap and the IMBH desert remark V.R231 Scope note on mass spectrum predictions remark V.R232 Contrast with the strong sector remark V.R233 The 1/sqrt2 remark V.R234 Contrast with fractal cosmologies remark V.R235 Saturation radius vs. observable universe remark V.R236 No infinite hierarchy remark V.R237 What the chain does NOT prove remark V.R238 Not a Big Crunch remark V.R239 Generative does not mean explosive remark V.R24 Epochs are structural, not anthropic remark V.R240 Late-stage conditions favor complexity remark V.R241 Not the anthropic principle remark V.R242 The key difference: no infinity remark V.R243 Scope note: CMB predictions C2, C5, C6 remark V.R244 The lesson: do not add, recognize remark V.R245 Comparison with orthodox unification remark V.R246 Naturality replaces gauge invariance remark V.R247 Scope note: implementation roadmap remark V.R248 Part VI Achievement Summary remark V.R249 Open Questions remark V.R25 Ignition is not a phase transition remark V.R250 Export to Books VI and VII remark V.R251 Bridge to Part VII remark V.R252 Entries with ``No counterpart'' remark V.R253 Preservation does not mean identity remark V.R254 The common thread remark V.R255 Orthodox physics is not wrong remark V.R256 Where tau adds value remark V.R257 The vacuum catastrophe as diagnostic remark V.R258 The analogy of cartography remark V.R259 Non-surjectivity is a feature remark V.R26 The pre-temporal epoch is not ``empty'' remark V.R268 GR's scope remark V.R269 Spacetime in tau remark V.R27 Simultaneity Is Structural remark V.R270 Gravity is already quantum remark V.R271 The metric is a derived quantity remark V.R272 Dualities as structural echoes remark V.R273 Occam and dimensions remark V.R274 AdS/CFT as a partial echo remark V.R275 iota_tau is a mathematical constant remark V.R276 Why SUSY was not found at the LHC remark V.R277 The parable of the library remark V.R278 LQG's genuine contribution remark V.R279 The residual manifold in LQG remark V.R28 Foliation versus block universe remark V.R280 Four echoes, one architecture remark V.R281 CDT as a computational echo remark V.R282 Sorkin's Lambda prediction remark V.R283 Respect and replacement remark V.R284 Twistors as shadow remark V.R285 The two relevant directions remark V.R286 Verlinde's rotation curves remark V.R287 No hierarchy among programmes remark V.R288 Superposition in the VM remark V.R289 Entanglement as address sharing remark V.R29 Selection without observers remark V.R290 The century of confusion remark V.R291 Renormalization is correct but unnecessary remark V.R292 The 10^120 remark V.R293 Why ``dissolve'' and not ``solve'' remark V.R294 Honest vs. premature remark V.R295 Timeline for the topology test remark V.R296 The honest status of galaxy fits remark V.R297 The subtlety of Lambda = 0 remark V.R298 Precision of the neutrino prediction remark V.R299 Scope of the delta_A prediction remark V.R30 Completion versus termination remark V.R300 What would vindicate inflation remark V.R301 The information paradox as diagnostic remark V.R302 Fifth force vs. sixth force remark V.R303 What would NOT falsify tau remark V.R304 Falsifiability as strength remark V.R305 One anchor, not zero remark V.R306 The sqrt3 remark V.R307 The neutrino exponent remark V.R308 Comparison with the Standard Model remark V.R31 No Initial Singularity remark V.R32 No Past Hypothesis needed --- reprise remark V.R322 71 = p_20 Structural Echo remark V.R323 Commutator Magnitude at omega-Crossing remark V.R324 eta_B Structural Candidate remark V.R325 Primorial-Confinement Bridge remark V.R326 Confinement Multiplicity Estimate remark V.R327 H–He Split remark V.R328 Beta Asymmetry remark V.R329 No Baryon Annihilation remark V.R33 Inflation as Progression remark V.R330 Arc Summary remark V.R332 EM sign structure and plasma modes remark V.R333 No-isolated-charges as VM-shadow denial remark V.R334 Alfven mode existence decidability remark V.R34 Photons do not ``travel'' remark V.R35 The speed of light is not ``fast'' remark V.R351 Honest comparison remark V.R357 Scope propagation rule remark V.R36 No Doppler Explanation remark V.R362 Why 2/(pi + e)? remark V.R364 Wigner's question answered remark V.R366 The theory predicts its own discovery remark V.R368 The logos is the boundary algebra remark V.R369 The longest derivation chain in physics remark V.R37 What expands? remark V.R370 H_0 Tension as Galactic Scale Effect remark V.R371 MOND Comparison Table remark V.R372 Sprint 4 Findings and OQ-C3 Status remark V.R373 LIGO Echo Window: Δt = 4GM(1-ι_τ²)/(c³·ι_τ) remark V.R374 No-Hawking from τ-vacuum: SA-i Forbids Bogoliubov Modes remark V.R375 Leptogenesis Pathway: Majorana Neutrinos Enable L→B Conversion remark V.R376 OQ-C3 Status after Sprint 4A: Asymmetry is the Open Question remark V.R377 OQ-C3 Status after Sprint 5A: CF Candidate Fails; Grid Optimum Found remark V.R378 OQ-C3 Status after Sprint 6A: 4/3 Hypothesis remark V.R379 V.OP2 Status after Sprint 6C: SA-i mod-5 Mechanism Proposed remark V.R38 No Dark Energy Needed remark V.R380 V.OP5 Status: SOLVED via Sprint 7E Observational Suite remark V.R383 V.OP1/OQ-C3 Status: PARTIAL-IMPROVED after Sprint 7B remark V.R384 V.OP3 Status: PARTIAL-IMPROVED after Sprint 8A remark V.R385 V.OP3 Status After Sprint 8B remark V.R386 V.OP3 Status After Sprint 8E: h Closes the Pipeline remark V.R387 η_B Exponent Resolution: 15 vs 20 (Effective 19 = W₅(3)) remark V.R389 √ι_τ Bridge for BTFR Normalization remark V.R39 Causality sharpened remark V.R390 Multi-Galaxy Statistical Summary remark V.R391 Capacity Equation as Qualitative Mechanism remark V.R392 Connection to Cocycle-Defect Minimization remark V.R393 GEM Mapping remark V.R394 Channel Dominance at Galactic Scales remark V.R395 Bare/Dressed Discrepancy Persists remark V.R396 MOND Lensing Comparison remark V.R40 Distance is operational remark V.R401 τ-vs-ΛCDM Discriminator Table remark V.R402 BH Entropy Numerical Values remark V.R403 Readout Temperature Numerical Catalog remark V.R404 M87* Variability Timescales remark V.R405 EHT Comparison Table remark V.R406 LIGO Comparison Table remark V.R407 Echo Search Table remark V.R408 BH Falsification Summary remark V.R409 M87* RM Comparison remark V.R41 Gaia and the tau-readout remark V.R410 Topological Flux Protection remark V.R411 EHT M87* Polarization Comparison remark V.R412 Complete Magnetic Table remark V.R413 Reconnection Signatures in Jets remark V.R414 Vernstrom Comparison remark V.R415 Blazar IGMF Bound remark V.R418 Transition Redshift Comparison remark V.R419 DESI DR2 Confrontation remark V.R42 The Chandrasekhar limit in tau remark V.R420 Weak Lensing Comparison remark V.R421 RSD Data Comparison remark V.R422 JWST Comparison Table remark V.R423 BOSS Data Comparison remark V.R427 D/H Anti-correlation remark V.R428 N3 Status Upgrade remark V.R429 ⁷Be Production as B-Sector remark V.R43 Quantitative prediction remark V.R430 EM Phase-Space Restriction remark V.R431 Voxel Packing Connection remark V.R432 Packing Threshold at A = 7 remark V.R433 Stellar Depletion and Spite Plateau remark V.R434 All Four from Single η_B remark V.R435 N3 Falsification Update remark V.R436 N4 Falsification Update remark V.R437 Wave 25 BBN Prediction Table remark V.R438 Cross-Sprint Consistency remark V.R439 Fitted→Derived remark V.R44 Scope and deferral remark V.R440 Fiber Filament Interpretation remark V.R441 Two-Thirds Law remark V.R442 5=|gen|+dim(T²) Interpretation remark V.R443 Sweet-Parker vs τ-Rate remark V.R444 B-Sector Topological Transition remark V.R445 Parker Solar Probe Testability remark V.R446 Clay Bridge Status remark V.R447 N5 She-Lévêque Falsification remark V.R448 N6 Reconnection Falsification remark V.R449 N7 Kolmogorov Falsification remark V.R45 Forward reference to Part~V remark V.R452 V.OP3 Status Wave 36A: Two-Path Verified remark V.R453 DESI σ₈ Falsification Window remark V.R456 V.OP12 Status Wave 38: H₀ Derived remark V.R46 No new physics in the definition remark V.R460 V.OP8 Status: S₈ Tension Resolved remark V.R466 Two-Path Convergence at NNLO remark V.R467 S₈ Pareto Duality remark V.R469 Baryogenesis Assessment (Wave 47) remark V.R47 No new information, new interpretation remark V.R470 V.OP9 Status: PARTIAL-IMPROVED remark V.R471 Condensed Matter Bridge Status (OQ-C6) remark V.R472 V.OP6 Status: PARTIAL-IMPROVED remark V.R473 V.OP4 Final Assessment remark V.R474 Topology Imprints on Gravitational Waves remark V.R475 GW Memory as Topological Transition remark V.R476 Binary Binding as Shared Holonomy Class remark V.R477 BKL Billiard Domain = T² Moduli Space (Hartnoll-Yang 2025) remark V.R478 Sensitivity of Spectral Coincidence remark V.R479 Bipolar Involution and L-Function Reflection remark V.R48 No new prediction for T_mathrmC remark V.R49 Two constraint surfaces, one algebra remark V.R50 Testability remark V.R51 Why an API metaphor remark V.R52 Scope census remark V.R53 Gravity is not a force on the fiber remark V.R54 No connection needed remark V.R55 Comparison with gauge holonomy remark V.R56 Lean formalization remark V.R57 Equivalence principle as theorem remark V.R58 Not a postulate remark V.R59 The photon is a null intertwiner, not a particle remark V.R60 No ``relativistic mass'' remark V.R61 Riemannian geometry as patching remark V.R62 Ontological priority remark V.R63 Michelson--Morley explained remark V.R64 Three sectors, not four remark V.R65 The GR coupling kappa_tau --- V.D05 remark V.R66 The 8pi factor remark V.R67 Singularities are chart artifacts remark V.R68 No admissible refinement without compensation remark V.R69 Newton from tau remark V.R70 No fitting remark V.R71 Two polarizations from two fiber directions remark V.R72 Inspiral phase is linear remark V.R73 Graviton mass is zero remark V.R74 The honest claim remark V.R75 No approximation remark V.R76 Comparison with orthodox gauge freedom remark V.R77 Why ``address''? remark V.R78 Comparison with other singularity resolutions remark V.R79 No Cauchy horizon instability remark V.R80 Extremal black holes remark V.R81 Forward references remark V.R82 Torus, not sphere remark V.R83 Why iota_tau^2, not iota_tau remark V.R84 The Birkhoff theorem in tau remark V.R85 The torus core remark V.R86 Observational signature remark V.R87 Hawking evaporation forbidden --- V.R02 remark V.R88 Chandrasekhar limit as maturity threshold --- V.R02 remark V.R89 Spherical neq static remark V.R90 The star builder as constructive proof remark V.R91 Not an ODE remark V.R92 No free parameter remark V.R93 The TOV maximum mass remark V.R94 No ``tension maximum'' remark V.R95 Chandrasekhar limit as the electron-degenerate case remark V.R96 No singularity remark V.R97 Comparison with Penrose's trapped surface theorem remark V.R98 Defect minimization drives topology selection remark V.R99 Observational tests remark V.T06 Fiber Completeness --- IV.T32 theorem V.T07 Mass Ratio --- IV.T30 theorem V.T08 Time Derivation Theorem theorem V.T09 Causal Ordering Theorem theorem V.T10 Bounded Time Theorem theorem V.T100 No Fifth Sector theorem V.T101 H0 Tension Resolution theorem V.T102 Dark Sector Closure theorem V.T103 No-Singularity Theorem theorem V.T104 Big Bang = Opening Regime theorem V.T105 Regime Invariance Theorem theorem V.T106 Flatness from Compactness theorem V.T107 Ladder Monotonicity theorem V.T108 Nucleosynthesis from tau theorem V.T109 BH Threshold Theorem theorem V.T11 Epoch Existence Theorem theorem V.T110 BH Toroidal Topology theorem V.T111 Necessary Bipolarity theorem V.T112 Blueprint Monoid Closure theorem V.T113 Defect-Mass Coupling theorem V.T114 No-Shrink Theorem theorem V.T115 Merger Normal Form theorem V.T116 Finite Motif Theorem theorem V.T117 Saturation Radius Theorem theorem V.T118 Absorbing Pattern Theorem theorem V.T119 Eternal Circulation Theorem theorem V.T12 Now-Within-Epoch Theorem theorem V.T120 Boundary Completeness theorem V.T121 Properties of the correspondence functor theorem V.T122 Renormalization as tower truncation theorem V.T125 GR as chart shadow of the tau-Einstein identity theorem V.T126 The readout quantization obstruction theorem V.T127 No singularity theorem theorem V.T128 Sector Exhaustion --- no dark sector theorem V.T129 Landscape collapse theorem V.T13 Opening Regime Theorem theorem V.T130 Native holography theorem V.T131 No knobs in tau theorem V.T132 Gravity as readout --- no renormalization theorem V.T133 Completeness of the boundary algebra theorem V.T134 Measurement problem dissolution theorem V.T135 Bell inequality in tau theorem V.T136 No singularities in tau theorem V.T137 No UV divergences in tau theorem V.T138 No dark sectors theorem V.T139 Vacuum energy is exactly zero theorem V.T14 Photon Existence Theorem theorem V.T140 Elayer1 theorem V.T141 No Shrink---restatement theorem V.T142 E1 Completeness Theorem theorem V.T146 Packing Maximum Theorem theorem V.T147 Face-Conflict Theorem theorem V.T148 Three Decompositions Identity theorem V.T149 Y_p Derivation from Packing and Correction theorem V.T15 Distance-Duration Duality theorem V.T150 n/p Ratio Derivation theorem V.T151 N_eff from Sector Exhaustion theorem V.T152 Density Gradient Monotonicity theorem V.T154 The G-alpha Bridge theorem V.T155 Mass Hierarchy Exponent theorem V.T156 Mass Derivations --- Layer 2 theorem V.T157 Calibration Sufficiency theorem V.T158 Export Completeness theorem V.T159 The Hermetic Identity theorem V.T16 Redshift-Depth Relation theorem V.T160 Physics as self-description theorem V.T161 The Hermetic Closure theorem V.T162 The Hermetic Truth theorem V.T163 Baryonic Tully-Fisher Relation from V.T85 theorem V.T164 NGC 3198 Zero-Parameter Prediction theorem V.T165 Mass Eigenvalue Ratio Formula theorem V.T166 Cosmological Bound Satisfaction theorem V.T167 Effective Majorana Mass from sigma-matrix theorem V.T168 QNM Fundamental Frequency Ratio = ι_τ⁻¹ theorem V.T169 GW Cycle-Delay Times t± = 4GM·ι_τ^{±1}/c³ theorem V.T17 Distance Ladder Translation theorem V.T170 Baryogenesis Exponent 15 = dim(τ³) × |generators| theorem V.T171 (5/6) Threshold Factor Shared with Y_p = 20/81 theorem V.T172 Primary Baryogenesis Formula: η_B = α·ι_τ¹⁵·(5/6) theorem V.T173 One-Parameter Neutrino Family: Scale-Invariant Result 39.45 theorem V.T174 PMNS Shared Eigenvector Structure: Identity from sigma-Polarity theorem V.T175 Best sigma-Matrix Exponent Pair from Grid Scan: (Delta_pq=1.16, Delta_pr=0.87) at +7 ppm theorem V.T176 Majorana CP Phases from sigma=C_tau Constraint: phi_2 = 0 theorem V.T177 (8/7, 6/7) Candidate: Neutrino Mass Ratio from Lemniscate n=7 theorem V.T178 Structural Derivation: Δpq/Δpr = 4/3 from Lemniscate Counting theorem V.T179 ι_τ¹⁵ from Generator Orbit: 15 = dim(τ³) × |generators| theorem V.T18 Hubble Tension Resolution theorem V.T180 (5/6) Uniquely Forced from Threshold Topology theorem V.T184 EHT Shadow T² Correction: f = 1 + ι_τ²/4 at 2.91% over GR theorem V.T185 QNM Frequency Ratio = ι_τ⁻¹ ≈ 2.930 as Clean S²/T² Discriminator theorem V.T187 Sakharov Conditions from τ³ σ-Involution theorem V.T188 η_B Formal Derivation: α·ι_τ¹⁵·(5/6) at −10320 ppm theorem V.T189 Grid Optimum Structural Derivation: (203/175, 609/700) theorem V.T19 Dark Energy Artifact --- First Pass theorem V.T190 Baryon Density from Master Constant theorem V.T191 Sound Horizon from τ-Native Inputs theorem V.T192 First Peak from Holonomy Matter Fraction theorem V.T193 Holonomy Matter NLO Correction Scan theorem V.T194 Neutrino Phase Shift on CMB Peaks theorem V.T195 Two-Horizon Consistency from ι_τ theorem V.T196 Hubble Parameter from τ: h at −120 ppm theorem V.T197 Full CMB Pipeline with Structural h theorem V.T198 Scalar Amplitude NLO: Inflationary Consistency theorem V.T199 DE-Closure Matter Density at -675 ppm theorem V.T20 Gravity as frame holonomy gap theorem V.T200 Holonomy Ratio Acceleration Theorem theorem V.T201 Capacity Equation Numerical Solution theorem V.T202 tau Interpolation Function theorem V.T203 Cluster Capacity Mass Discrepancy theorem V.T204 Redshift-Dependent Acceleration Scale theorem V.T205 c² Cancellation Theorem theorem V.T206 Metric-Capacity Coupling Source Theorem theorem V.T207 V.T85 Algebraic Resolution Theorem theorem V.T208 Two-Channel Interpolation Theorem theorem V.T209 Algebraic Distinctness from Standard MOND theorem V.T21 Vacuum shape ratio --- V.T01 theorem V.T210 Photon-Capacity Deflection theorem V.T211 Distance Modulus from τ-Native Parameters theorem V.T212 Strong Lensing Cross-Section Enhancement theorem V.T213 Quantitative Bullet Cluster Mass Prediction theorem V.T214 DESI Consistency Check theorem V.T215 Dark Sector Consistency Theorem theorem V.T216 BH Entropy Catalog theorem V.T217 Readout Temperature Theorem theorem V.T218 Bi-Rotational Synchrotron Theorem theorem V.T219 Harmonic Eigenfrequencies theorem V.T22 G derivation --- V.D02 theorem V.T220 M87* Prediction Suite theorem V.T221 Sgr A* Prediction Suite theorem V.T222 Chirp Mass Consistency theorem V.T223 T^2 Ringdown Formula theorem V.T224 Merger Energy Theorem theorem V.T225 Echo Detection Threshold theorem V.T226 Black Hole Consistency Theorem theorem V.T227 RM Winding Theorem theorem V.T228 Flux Threading Theorem theorem V.T229 Circular Polarization Winding theorem V.T23 sigma-equivariance of kappa_tau theorem V.T230 Magnetic Field Ratio Theorem theorem V.T231 Jet Helicity Conservation theorem V.T232 Jet Collimation from Hoop Stress theorem V.T233 Filament Magnetic Field Theorem theorem V.T234 Ω_Λ Structural Theorem theorem V.T235 No Phantom Crossing Theorem theorem V.T236 σ₈ Suppression Theorem theorem V.T237 Growth Equation with τ-EoS theorem V.T238 Growth Index Theorem theorem V.T239 JWST Enhancement Theorem theorem V.T24 Lorentz covariance theorem theorem V.T240 Power Spectrum Consistency theorem V.T241 D/H from τ-native η_B theorem V.T242 Sector Distribution {1,4,7} theorem V.T243 Suppression = 1/dim(τ³) = 1/3 theorem V.T244 Li-7 Resolution theorem V.T245 Y_p Preservation theorem V.T246 D/H Preservation theorem V.T247 He-3/H from τ-native η_B theorem V.T248 She-Lévêque from τ³ Dimensions theorem V.T249 Intermittency Exponent Agreement theorem V.T25 Minkowski as chart shadow --- cf. III.D76 theorem V.T250 -5/3 from τ Dimensions theorem V.T251 C_K = 3/2 theorem V.T252 v_rec = ι_τ² v_A theorem V.T253 τ-Alfvén Damping = ι_τ² ω theorem V.T254 Primorial Convergence Rate theorem V.T255 Two-Path Complementarity for First Peak theorem V.T256 Peak Height Ratios from Baryon Loading theorem V.T257 First Peak NLO at +69 ppm theorem V.T259 Uniqueness of Hubble Formula theorem V.T26 Chart shadow recovery theorem V.T260 Peak-Ratio Tension from Acoustic Physics theorem V.T261 Peak-Ratio NLO Improvement theorem V.T262 Baryon Density Improvement theorem V.T263 S₈ Tension Resolution theorem V.T264 Coupled NLO Optimum: δ_h = κ_D/N_e theorem V.T265 ω_m Sub-20 ppm at NNLO theorem V.T266 S₈ NNLO Consistent with KiDS and HSC theorem V.T267 BAO Sub-1300 ppm at NNLO theorem V.T268 Normal Hierarchy from Winding Exponent Order theorem V.T269 Mass-Squared Splittings from τ-Exponents theorem V.T27 Well-posedness via Hartogs theorem V.T270 Baryogenesis NLO from Fiber EM Correction theorem V.T271 21cm Absorption Trough from tau-Native Inputs theorem V.T272 Readout Channel Entropy Bound theorem V.T273 Ontic Entropy Monotonicity for Mature BH theorem V.T274 Structural e-Fold Count N_e = 57 theorem V.T275 Scalar Amplitude from alpha_tau Inheritance theorem V.T276 Tensor-to-Scalar Ratio from Fiber Dimensional Suppression theorem V.T277 Generator Orbit Suppression: iota_tau^15 from sigma-Involution theorem V.T278 (5/6) Uniquely Forced from Threshold Ladder Topology theorem V.T279 r/R = iota_tau from Fiber Structure theorem V.T28 Newtonian limit recovery theorem V.T29 Mercury precession from tau-Einstein theorem V.T30 Light deflection from tau-Einstein theorem V.T31 Gravitational redshift from tau-Einstein theorem V.T32 Gravitational wave properties theorem V.T33 Existence theorem V.T34 Uniqueness theorem V.T35 Selection theorem V.T36 Density cap theorem V.T37 Horizon as present-surface contraction theorem V.T38 Vacuum shape ratio --- V.T01 theorem V.T39 Schwarzschild as readout theorem V.T40 The tau-Schwarzschild relation --- V.D08 theorem V.T41 No-Shrink --- V.T03, preview theorem V.T42 Star builder existence and uniqueness theorem V.T43 Neutron node EW stability theorem V.T44 Chandrasekhar limit theorem V.T45 Tension Monotonicity theorem V.T46 Structural Threshold --- Forced Topology Relaxation theorem V.T47 Topology Crossing Admissibility theorem V.T48 Defect Cost Jump at Phase Boundary theorem V.T49 Micro--Macro Bridge theorem V.T50 Complete Dimensional Bridge theorem V.T51 Spectral Distance --- IV.T11 theorem V.T52 G Prediction --- V.T04, V.T05 theorem V.T53 R Formula Independence --- V.R03 theorem V.T54 10-Link Derivation Chain theorem V.T55 The Categorical Second Law theorem V.T56 Entropy splitting theorem V.T57 Defect entropy is bounded theorem V.T58 Defect entropy is monotonically decreasing theorem V.T59 Refinement entropy grows without bound theorem V.T60 Finite defect budget theorem V.T61 Global Defect Exhaustion theorem V.T62 Master exhaustion inequality theorem V.T63 alpha governs macroscopic energy transport theorem V.T64 Heat is electromagnetism theorem V.T65 Vacuum energy is boundary energy theorem V.T66 The vacuum catastrophe is a category error theorem V.T67 H_partial[omega theorem V.T68 Defect-driven acceleration theorem V.T69 Dark energy is a readout artifact theorem V.T70 Macro three-condition sufficiency theorem V.T71 Macro tau-NS regularity theorem V.T72 Macro energy spectrum theorem V.T73 No Isolated Charges theorem V.T74 Forced Quasi-Neutrality theorem V.T75 Frozen-flux invariant theorem V.T76 Critical surface is codimension 1 theorem V.T77 Phase-transition universality theorem V.T78 Newtonian Limit --- V.T30 theorem V.T79 Two-Regime Readout --- V.T31 theorem V.T80 Correspondence Tower --- V.T32 theorem V.T81 Rotational Flux Conservation --- V.T33 theorem V.T82 Kepler's First Law --- V.T34 theorem V.T83 Kepler's Second Law --- V.T35 theorem V.T84 Kepler's Third Law --- V.T36 theorem V.T85 Flat Rotation Curve Theorem --- V.T37 theorem V.T86 Chandrasekhar Mass from tau-Framework --- V.T38 theorem V.T87 TOV Mass Limit --- V.T39 theorem V.T88 Compact-Object Classification --- V.T40 theorem V.T89 Core Collapse Trigger --- V.T41 theorem V.T90 Jet Collimation Theorem theorem V.T91 Accretion Luminosity Bound theorem V.T92 AGN Unification Theorem theorem V.T93 Chirp Mass from Boundary Holonomy theorem V.T94 Ringdown Uniqueness Theorem theorem V.T95 Shadow Shape Theorem (T^2 vs S^2) theorem V.T96 Polarization Winding Theorem theorem V.T97 Bullet Cluster Without Dark Matter theorem V.T98 Cosmic Web from Holonomy Loops theorem V.T99 Sector Exhaustion Theorem theorem