results
Results by Domain
All 234 results grouped by topic domain.
Results by Domain
The 234 results are organized into four domains corresponding to the framework’s enrichment layers: Mathematics (, 76 results), Physics (, 60 results), Biology (, 53 results), and Philosophy (, 45 results). Each result carries a typed epistemic status: Resolved (R), Partial (P), Qualitative (Q), Contradicted (C), or Not Addressed (N).
Biology — 53 results
- Abiogenesis Is Inevitable: Life Is a Thermodynamic Attractor — Resolved
- Abiogenesis Timescale — Resolved
- Abiogenesis Timescale Bound from Geometric Decay — Resolved
- Aging Mechanism — Not Addressed
- ATP Currency Uniqueness: Topology and Coupling Fix the Energy Scale — Resolved
- ATP Uniqueness — Resolved
- BH-as-Alive — Resolved
- Black Holes Are Alive: BH Satisfies All 5+3 Conditions — Resolved
- Cell as Tau-Object — Resolved
- Cell Membrane Origins — Resolved
- Cellular Senescence — Resolved
- Central Dogma and Its Exceptions — Resolved
- Circadian Clock Mechanisms — Resolved
- Computability of Biological Processes — Resolved
- Consciousness Neural Correlates — Resolved
- Convergent Evolution — Resolved
- Epigenetics — Resolved
- Far-Future Cosmology and Universal BH — Resolved
- Fitness Landscape Theory — Resolved
- Genetic Code Optimality — Resolved
- Genetic Code Optimality: Top 0.01% for Error Minimization — Resolved
- Homochirality Origin — Resolved
- Homochirality Universality: 12-Step Derivation from K0–K6 to L-Amino Acids — Resolved
- Immune Specificity — Not Addressed
- Layer Separation: SelfDesc Is Unavailable at E₁ — Resolved
- Life as Structurally Favored Rather Than Accidental — Qualitative
- Machine Consciousness (Life-side bridge) — Partial
- Mathematical Biology — Categorical Methods — Resolved
- Membrane-First vs Metabolism-First — Resolved
- Metabolic Network Topology — Resolved
- Minimal Cell / Synthetic Life Criteria — Resolved
- Morphogen Gradient Interpretation — Resolved
- Mycorrhizal Networks — Resolved
- Necessary vs Sufficient Conditions for Life — Resolved
- Neurodegeneration — Resolved
- Neurodegeneration as Hayflick Tower Crossing — Resolved
- Non-Reductive Emergence — Resolved
- Organelle Evolution via Endosymbiosis — Resolved
- Panpsychism Excluded — Contradicted
- Parity Bridge Theorem: E₁ → 2_τ → E₂ Factors Through the Weak Sector — Resolved
- Protein Folding — Not Addressed
- Red Queen Hypothesis — Resolved
- Self-Reference in Living Systems — Resolved
- Seven Hallmarks of Life as Theorems — Resolved
- Sexual Reproduction Cost and Benefit — Resolved
- Sleep Function — Resolved
- Stars Are Not Alive: Quadrant III — Distinction Without SelfDesc — Resolved
- Substrate Abstraction: The 5+3 Life Conditions Are Substrate-Free — Resolved
- Substrate Independence / Multiple Realizability — Resolved
- Trophic Cascade Dynamics — Resolved
- Virus Exclusion: NoDist Theorem (3/5 Distinction Conditions Fail) — Resolved
- Vitalism vs Mechanism Dissolved — Resolved
- What is Life? — Resolved
Mathematics — 76 results
- ABC Conjecture — Not Addressed
- Arrow of Time from Orbit Direction: Unique and Irreversible — Resolved
- Axial Coupling g_A at +5.5 ppm via κ_D² /ι_τ with CF Window NLO — Resolved
- Baryogenesis: η_B = α·ι_τ¹⁵·(5/6) at −1% — Resolved
- Black Holes Across E1–E3 — Resolved
- BSD Conjecture Approach — Partial
- Cabibbo Angle: sin θ_C = ι_τ(1 − ι_τ) at −2327 ppm — Resolved
- Canonical Ladder: E₀ ⊊ E₁ ⊊ E₂ ⊊ E₃ Is the Unique Maximal Enrichment Chain — Resolved
- Cantor Diagonal Inapplicability — Resolved
- Categoricity of Tau — Resolved
- Central Theorem: O(τ³) ≅ A_spec(L) — Resolved
- Chirality / Symmetry Breaking Across E0–E2 — Resolved
- Consciousness Across E1–E3 — Partial
- Differentiation Is Irreversible: Waddington Descent Monotone — Resolved
- Earned Topos — Resolved
- Enrichment Ladder — Resolved
- Ethics / Normativity Across E2–E3 — Resolved
- Exactly Three Colors: N_c = 3 from Primorial Depth — Resolved
- Fibration Structure τ³ = τ¹ ×_f T² — Resolved
- Fine-Structure Constant α⁻¹ = 137.036 from ι_τ — Resolved
- Fourth Quadrant Resolution: QM and GR Unified in τ — Resolved
- Fundamental Theorem of Arithmetic — Resolved
- Global Hartogs Extension: Boundary Determines Interior — Resolved
- Goldbach Conjecture — Not Addressed
- Grand GRH Approach — Partial
- Gravitational Constant from ι_τ: α_G at 3 ppm — Resolved
- Gödel Avoidance: Five Mechanisms Prevent Diagonal Self-Negation in τ — Resolved
- Helium-4 Primordial Abundance Y_p = 20/81 at 0.43σ from Planck — Resolved
- Hinge Theorem: Books IV–VII Are Sector Instantiations of Book III — Resolved
- Hodge Conjecture Approach — Partial
- Hubble Tension Resolved: h = 2/3 + ι_τ²/17 at –120 ppm — Resolved
- Hyperfactorization — Resolved
- Hyperfactorization: Every Object Has a Unique Canonical Normal Form — Resolved
- Identity as NF-Address Persistence: Personal Identity Across Change — Resolved
- Identity Theorem — Resolved
- Information / Self-Reference Across E0–E3 — Resolved
- Koide Relation at −9 ppm: Q = 2/3 from σ-Equivariant Mass Matrix — Resolved
- Kolmogorov Constant C_K = 3/2 Exact from dim(τ³)/dim(T²) — Resolved
- Langlands Program Approach — Partial
- Master Schema: All Eight Millennium Problems Are Instances of Mutual Determination — Resolved
- Modal Logic S4 as Theorem: τ-Modal Operators and Kripke Soundness — Resolved
- Muon Anomalous Magnetic Moment a_μ at +8.8 ppm — Resolved
- Mutual Determination: Five Characterizations of Holomorphic Functions — Resolved
- Neutrino Mass Sum Σm_ν = 0.089 eV, Normal Ordering Derived — Resolved
- No Black Hole Evaporation: dM/dn ≥ 0 and Information Preserved — Contradicted
- No Singularity: Profinite Structure Blocks a → 0 — Resolved
- Number Tower N → Z → Q → R → C — Resolved
- P vs NP — Partial
- Poincaré Conjecture Reinterpretation — Resolved
- Prime Polarity — Resolved
- Prime Polarity: Primes as Finite Witnesses of Infinity — Resolved
- Proton Charge Radius r_p at +12 ppm (37× Improvement in Wave 46) — Resolved
- Riemann Hypothesis — Partial
- Riemann Hypothesis (spectral approach) — Partial
- Rydberg Constant at Seven Significant Figures from τ — Resolved
- Saturation Theorem: The Enrichment Ladder Terminates at E₃ — Resolved
- She–Lévêque Turbulence Exponents Exact from τ³ Dimensions — Resolved
- Stone Duality — Resolved
- Strong CP Problem Solved: θ_QCD = 0 from SA-i Admissibility — Resolved
- Structural Instability / ZFC Identity Slippage — Contradicted
- S₈ Tension Resolved: S₈ = 0.783 from f_supp × f_growth × f_ν — Resolved
- Tarski Axioms for Geometry — Resolved
- Tau-Identity Theorem: Agreement at One Depth Implies Agreement Everywhere — Resolved
- The τ-Coherence Kernel: Seven Axioms on Five Generators — Resolved
- Three Generations of Matter from H₁(τ³;ℤ) ≅ ℤ³ — Resolved
- Time Derivation Theorem: Proper Time from K0–K6 — Resolved
- Tower Machine Architecture — Resolved
- Translation Functor tau → ZFC — Partial
- Twin Primes — Not Addressed
- Unique Infinity — Resolved
- W-Boson Mass Prediction at −0.5 ppm — Resolved
- Weinberg Angle NNLO at −0.7 ppm — Resolved
- Why So Many Results Are Even Possible — Resolved
- Yang-Mills Mass Gap: δ∞^s > 0 Spectrally Isolated — Partial
- Yoneda Lemma — Resolved
- τ-Admissibility Collapse: P = NP Within τ — Qualitative
Philosophy — 45 results
- AI Language Understanding — Resolved
- Animal Rights and Dignity — Resolved
- Beauty and Truth — Resolved
- Binding Problem Dissolved — Resolved
- Categorical Imperative Derivation — Resolved
- CI Uniqueness — Resolved
- Consciousness Is a Global Section: Γ(Mind) — Partial
- Definition of Beauty — Resolved
- Embodied Cognition — Resolved
- Emotions as Register Transitions — Resolved
- Extended Mind — Resolved
- Faith–Reason Bridge — Resolved
- Free Will and Moral Responsibility — Resolved
- Free Will as Branching: Compatibilism Dissolved as Scale Confusion — Resolved
- Gavagai and Indeterminacy of Translation — Resolved
- Gettier Problem — Resolved
- Gödel Avoidance — Resolved
- Hard Problem of Consciousness — Partial
- Identity of Indiscernibles — Resolved
- Intentionality — Resolved
- Intersubjectivity — Resolved
- Is-Ought Gap Bridged — Resolved
- Machine Consciousness — Partial
- Machine Consciousness (E3) — Resolved
- Mereological Composition — Resolved
- Moral Realism Derived — Resolved
- Musical Universals — Resolved
- Narrative Identity — Resolved
- No Forced Stance — Resolved
- Ontological Dependence — Resolved
- Paraconsistent Logic — Resolved
- Persistence Through Change — Resolved
- Political Legitimacy — Resolved
- Private Language Argument — Resolved
- Problem of Universals — Resolved
- Reference Problem — Resolved
- Structural Realism — Resolved
- Substance vs Process Ontology — Resolved
- Syntax-Semantics Dissolution — Resolved
- Temporal Experience — Resolved
- The Categorical Imperative Is the Unique j-Closed Fixed Point — Resolved
- The Four-Layer Architecture of Reality — Resolved
- The Sublime — Resolved
- Trolley Problem Resolution — Resolved
- Why Something Rather Than Nothing — Resolved
Physics — 60 results
- 0νββ / Majorana Neutrinos — Resolved
- Baryon Asymmetry — Resolved
- BH Information Paradox — Resolved
- BH Quasi-Normal Modes — Resolved
- Chandrasekhar Mass Limit — Resolved
- CKM Unitarity and Cabibbo Anomaly — Partial
- CMB First Peak ℓ₁: LO at +2840 ppm, NLO at +69 ppm — Resolved
- Cosmological Flatness Ω_k = 0 Exact from τ³ Compactness — Resolved
- Crossing-Limit Theorem: Merger Networks Converge to ι_τ — Resolved
- Dark Energy Equation of State — Resolved
- Dark Sector Closure — Resolved
- DESI BAO — Resolved
- Deuterium Abundance — Resolved
- Electron Mass at 0.025 ppm: 10-Link Derivation from K0–K6 — Resolved
- Electron Mass Precision — Resolved
- Emergence of Spacetime — Partial
- Equivalence Principle from τ — Resolved
- Fine-Tuning Dissolved — Resolved
- Flat Galaxy Rotation Curves from Capacity Gradient — Resolved
- Galaxy Rotation Curves without Dark Matter — Resolved
- Hierarchy Problem — Resolved
- Higgs Boson Mass Prediction at +8.0 ppm — Resolved
- Higgs Self-Coupling — Resolved
- Higgs Self-Coupling λ_H = 0.12928 at +16 ppm — Resolved
- High-Tc Superconductivity — Partial
- Hubble Tension — Resolved
- Individual Quark Masses — Resolved
- Inevitability: Six Ontic Requirements Force the τ-Kernel — Resolved
- Inflation Mechanism — Resolved
- Li-7 Problem Resolved: ⁷Li/H via Fiber Suppression S = 1/3 — Resolved
- Measurement Problem — Resolved
- Muon g−2 Anomaly — Resolved
- Navier–Stokes Regularity — Not Addressed
- Neutrino Mass Ordering — Resolved
- Neutron EDM — Resolved
- Neutron Lifetime Puzzle — Resolved
- No Axion Needed — Contradicted
- No Dark Matter Particle: Sector Exhaustion Theorem — Resolved
- No Hawking Radiation — Contradicted
- Not MOND — Contradicted
- Periodic Table Structure — Resolved
- Physical Reality as a Semantic Reading of E1 — Resolved
- Primordial Gravitational Waves — Resolved
- Proton g-Factor — Partial
- Proton Spin Puzzle — Not Addressed
- Proton-Neutron Mass Difference at +33 ppm — Resolved
- QCD Confinement — Partial
- Quantum Computing — Not Addressed
- S8 Tension — Resolved
- Silk Damping Scale — Resolved
- Spectral Index n_s = 1 – 2/N_e Derived from N_e = 57 — Partial
- Strong Coupling α_s at the Z Pole — Resolved
- Tensor-to-Scalar Ratio r = ι_τ⁴ = 0.0136 — Resolved
- Theta_QCD = 0 / Strong CP Problem — Resolved
- Tully-Fisher Relation — Resolved
- Vacuum Catastrophe Resolution — Resolved
- Vacuum Energy = 0: Cosmological Constant Problem Dissolved — Resolved
- W Mass Puzzle — Resolved
- Weinberg Angle sin²θ_W Precision — Resolved
- Why Three Generations? — Resolved