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Generic Result Catalogue — all result pages across mathematics, physics, life, and metaphysics/philosophy. Filter by domain, kind, importance, status, and book. Not the Challenge Response surface; for canonical Structural Challenge responses, see /results/challenge-responses/.

Generic Result Catalogue. This page is the broad alphabetical/filterable catalogue of all result pages — supporting evidence, landmarks, predictions, falsification facets, and world readouts. It is not the Challenge Response surface. Results-side responses to the canonical Structural Challenge Ledger live at Challenge Responses — that's where you go for the program's current τ response, evidence route, verification route, and external-review boundary against each canonical structural challenge.

The Results lane has this unified browse surface where you can filter the generic Result catalogue by domain, enrichment layer, result kind, importance, status, and canonical book. Every card is pre-rendered in HTML, so the page remains crawlable and readable without JavaScript. With JavaScript enabled, filters and sorting narrow the view interactively, and the active filter state is shared via the URL.

The separate Additional Noteworthy Results surface publishes Registry-backed results promoted from Corpus triage. Those pages are intentionally not counted inside this generic Result catalogue.

Numerical predictions additionally carry precision and cascade metadata from the Corpus Wave 2 export: precision tiers such as sub-10 ppm, 10–1000 ppm, 1–5%, or structural, and cascade tiers such as Tier A, Tier B, Tier C, or binary. These labels describe the program’s internal readout and test sharpness; they remain distinct from verification state and external acceptance.

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The τ-Coherence Kernel: Seven Axioms on Five Generators

Hyperfactorization: Every Object Has a Unique Canonical Normal Form

Prime Polarity: Primes as Finite Witnesses of Infinity

Mutual Determination: Five Characterizations of Holomorphic Functions

Central Theorem: O(τ³) ≅ A_spec(L)

Canonical Ladder: E₀ ⊊ E₁ ⊊ E₂ ⊊ E₃ Is the Unique Maximal Enrichment Chain

Hinge Theorem: Books IV–VII Are Sector Instantiations of Book III

Master Schema: All Eight Millennium Problems Are Instances of Mutual Determination

Three Generations of Matter from H₁(τ³;ℤ) ≅ ℤ³

Strong CP Problem Solved: θ_QCD = 0 from SA-i Admissibility

W-Boson Mass Prediction at −0.5 ppm

Higgs Boson Mass Prediction at +8.0 ppm

Exactly Three Colors: N_c = 3 from Primorial Depth

Tensor-to-Scalar Ratio r = ιτ⁴ = 0.0136

No Dark Matter Particle: Sector Exhaustion Theorem

Flat Galaxy Rotation Curves from Capacity Gradient

No Singularity: Profinite Structure Blocks a → 0

Vacuum Energy = 0: Cosmological Constant Problem Dissolved

Abiogenesis Is Inevitable: Life Is a Thermodynamic Attractor

Substrate Abstraction: The 5+3 Life Conditions Are Substrate-Free

Black Holes Are Alive: BH Satisfies All 5+3 Conditions

Stars Are Not Alive: Quadrant III — Distinction Without SelfDesc

The Categorical Imperative Is the Unique j-Closed Fixed Point

Saturation Theorem: The Enrichment Ladder Terminates at E₃

Consciousness Is a Global Section: Γ(Mind)

Inevitability: Six Ontic Requirements Force the τ-Kernel

Global Hartogs Extension: Boundary Determines Interior

Tau-Identity Theorem: Agreement at One Depth Implies Agreement Everywhere

Fourth Quadrant Framework Account: QM and GR Unified in τ

Time Derivation Theorem: Proper Time from K0–K6

No Black Hole Evaporation: dM/dn ≥ 0 and Information Preserved

Li-7 Framework Account: ⁷Li/H via Fiber Suppression S = 1/3

Koide Relation at −9 ppm: Q = 2/3 from σ-Equivariant Mass Matrix

Cabibbo Angle: sin θ_C = ιτ(1 − ιτ) at −2327 ppm

Weinberg Angle NNLO at −0.7 ppm

Yang-Mills Mass Gap: δ∞^s > 0 Spectrally Isolated

CMB First Peak ℓ₁: LO at +2840 ppm, NLO at +69 ppm

Gravitational Constant from ιτ: α_G at 3 ppm

Arrow of Time from Orbit Direction: Unique and Irreversible

Parity Bridge Theorem: E₁ → 2_τ → E₂ Factors Through the Weak Sector

Seven Hallmarks of Life as Theorems

Layer Separation: SelfDesc Is Unavailable at E₁

Differentiation Is Irreversible: Waddington Descent Monotone

Gödel Avoidance: Five Mechanisms Prevent Diagonal Self-Negation in τ

Modal Logic S4 as Theorem: τ-Modal Operators and Kripke Soundness

Identity as NF-Address Persistence: Personal Identity Across Change

Free Will as Branching: Compatibilism Dissolved as Scale Confusion

Proton-Neutron Mass Difference at +33 ppm

Baryogenesis: η_B = α·ιτ¹⁵·(5/6) at −1%

τ-Admissibility Collapse: P = NP Within τ

She–Lévêque Turbulence Exponents Exact from τ³ Dimensions

Rydberg Constant at Seven Significant Figures from τ

Fine-Structure Constant α⁻¹ = 137.036 from ιτ

Electron Mass at 0.025 ppm: 10-Link Derivation from K0–K6

Spectral Index n_s = 1 – 2/N_e Derived from N_e = 57

Higgs Self-Coupling λ_H = 0.12928 at +16 ppm

Axial Coupling g_A at +5.5 ppm via κ_D² /ιτ with CF Window NLO

Cosmological Flatness Ω_k = 0 Exact from τ³ Compactness

Muon Anomalous Magnetic Moment a_μ at +8.8 ppm

Hubble Tension Internal Readout: h = 2/3 + ιτ²/17 at –120 ppm

S₈ Tension Framework Account: S₈ = 0.783 from f_supp × f_growth × f_ν

Proton Charge Radius r_p at +12 ppm (37× Improvement in Wave 46)

Kolmogorov Constant C_K = 3/2 Exact from dim(τ³)/dim(T²)

Helium-4 Primordial Abundance Y_p = 20/81 at 0.43σ from Planck

Neutrino Mass Sum Σm_ν = 0.089 eV, Normal Ordering Derived

Homochirality Universality: 12-Step Derivation from K0–K6 to L-Amino Acids

Crossing-Limit Theorem: Merger Networks Converge to ιτ

Abiogenesis Timescale Bound from Geometric Decay

Genetic Code Optimality: Top 0.01% for Error Minimization

ATP Currency Uniqueness: Topology and Coupling Fix the Energy Scale

Virus Exclusion: NoDist Theorem (3/5 Distinction Conditions Fail)

Neurodegeneration as Hayflick Tower Crossing

Riemann Hypothesis (spectral approach)

What is Life?

Membrane-First vs Metabolism-First

Cell as Tau-Object

Panpsychism Excluded

Problem of Universals

Substance vs Process Ontology

Tensor-to-Scalar Ratio r = ι_τ⁴ = 0.0136

Cabibbo Angle: sin θ_C = ι_τ(1 − ι_τ) at −2327 ppm

Gravitational Constant from ι_τ: α_G at 3 ppm

Baryogenesis: η_B = α·ι_τ¹⁵·(5/6) at −1%

Fine-Structure Constant α⁻¹ = 137.036 from ι_τ

Axial Coupling g_A at +5.5 ppm via κ_D² /ι_τ with CF Window NLO

Hubble Tension Internal Readout: h = 2/3 + ι_τ²/17 at –120 ppm

Crossing-Limit Theorem: Merger Networks Converge to ι_τ