Results by Problem

All Results (234)

All 234 results in alphabetical order. Each carries a typed epistemic status and a result kind (Frontier Problem, Foundational Math, or Consequence). For domain-grouped or book-grouped views, see By Domain or By Book.

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