Table of Contents
- 36 The Fermion Mass Problem
- 37 Fermion Localization on S²
- 38 The Master Mass Formula
- 39 Charged Lepton Masses
- 40 Up-Type Quark Masses
- 41 Down-Type Quark Masses
- 42 Summary of All Nine Masses
- 43 Complete Charged Fermion Mass Derivation
- 44 The CKM Matrix
- 45 CP Violation in Quarks
- 46 The Neutrino Puzzle
- 47 The Seesaw Mechanism
- 48 Neutrino Masses
- 49 The PMNS Matrix
- 50 Neutrinoless Double Beta Decay
- 51 Leptogenesis
- 52 Gravity in TMT
- 53 The Modified Newtonian Potential
- 54 The Equivalence Principle
- 55 Gravity and Temporal Momentum
- 56 Short-Range Gravity Tests
- 57 Toward Quantum Gravity
- 58 N-Body Problem — Classical Regime
- 59 N-Body Problem — Quantum Integrability
- 60 N-Body Problem — Classical Integrability
- 61 N-Body Problem — Dissipative Integrability
- 62 Black Holes as Temporal Momentum Recyclers
- 68 Topological Necessity of Complex Numbers
- 69 Quantum Phenomena Resolved
- 70 Continuous Variable QM and QFT from S²
- 71 Relativistic QM, Path Integrals
- 72 Quantum Information Theory from S²
- 73 Quantum Communication Protocols
- 74 Quantum Channels and Operations
- 75 Quantum Metrology — Precision Limits
- 76 Quantum-Enhanced Sensing
- 77 Information-Thermodynamics Bridge
- 78 Quantum Heat Engines
- 79 Fluctuation Theorems on S²
- 80 PBR Theorem and Ontic States
- 81 Weak Measurements and Quantum Trajectories
- 82 Quantum-to-Classical Transition
- 83 Level Statistics — Quantum Chaos
- 84 Quantum Ergodicity and Thermalization
- 85 TMT and Loop Quantum Gravity
- 86 TMT and String Theory
- 87 Born Rule — Complete Derivation
- 88 Uniqueness, Measurement, Nonlocality
- 89 ETH and Thermalization
- 90 Quantum Scars, MBL, Chaos Bound
- 91 What TMT Resolves
- 92 Framework Connections
- 93 Topological Field Theory from S²
- 94 Decoherence from S² Geometry
- 95 Inflationary Predictions
- 96 Berry Phase and Spinors
- 97 Gravitational Waves from Inflation
- 98 Dark Matter — The MOND Solution
- 99 MOND Phenomenology
- 100 Spin-Statistics Theorem
- 101 Entanglement from TMT
- 102 The Arrow of Time
- 103 Structure Formation
- 104 Baryogenesis
- 105 The Baryon Asymmetry Derivation
- 106 Dark Energy
- 107 Cosmological Densities
- 108 The Complete Cosmological Picture
- 109 The g-2 Anomalous Magnetic Moments
- 110 The Nature of Scientific Predictions
- 111 Gravity Sector Predictions
- 112 Particle Physics Predictions
- 113 Neutrino Sector Predictions
- 114 Cosmological Predictions
- 115 Rare Processes
- 116 What Would Falsify TMT?
- 117 Current Experimental Status
- 118 Tritium Beta Decay
- 119 Philosophical Foundations of TD
- 120 The Configuration Space of Futures
- 121 The TMT Natural Measure
- 122 Evolution and Conservation
- 123 The Temporal Determination Theorem
- 124 The Aggregate Certainty Theorem
- 125 Entropy and Information
- 126 Quantum Corrections
- 127 Gravitational Effects
- 128 Applications and Examples
- 129 Summary and Future Directions
- 130 Navier-Stokes: Problem Statement
- 131 Navier-Stokes: TMT Approach
- 132 Navier-Stokes: Global Regularity
- 133 Navier-Stokes: Uniqueness
- 134 Navier-Stokes: Proof Summary
- 135 Navier-Stokes: Computation
- 136 Yang-Mills: Problem Statement
- 137 Yang-Mills: Confinement
- 138 Yang-Mills: Mass Gap
- 139 Yang-Mills: Proof Strategy
- 140 Yang-Mills: Uniqueness
- 141 Yang-Mills: Computation
- 142 Yang-Mills: Implications
- 143 Two Prizes, One Geometry
- 144 TMT vs Other Approaches
- 145 Interpretation A — Extra Dimensions
- 146 Interpretation B — Geometric Field
- 147 Why Both Interpretations Work
- 148 The Epistemology of TMT
- 149 Philosophical Implications
- 150 Comparison with Other Approaches
- 151 Open Questions
- 152 Synthesis
- 153 Experimental Prospects
- 154 Conclusion
- 159 The Arithmetic Genesis of the Gauge Group
- 160 The Prime Spectrum and Modular Structure
- 161 The Arithmetic-Topological Convergence
- 162 The TMT Motive — Construction and Proof
- 163 Modular Forms and the Arithmetic of 12
- 164 The TMT L-function
- 165 Arakelov Geometry and the Arithmetic Monopole
- 166 Period-Inverse Period Duality
- 167 Class Field Theory and the TMT Number Field
- 168 Chern-Simons Theory, Quantum Groups, and Topological Closure
- 169 The Adelic Product Formula
- 170 Mirror Symmetry and the Dual Proof
- 171 Formal Groups, Derived Categories, and Total Rigidity
- 172 The Grand Theorem — Uniqueness of the Physical Law
- A Mathematical Prerequisites
- B Spherical Harmonics
- C Kaluza-Klein Theory
- D The Standard Model
- E Notation and Conventions
- F Complete Derivation Chains
- G Numerical Results Summary
- H Glossary of Terms
- I Guide to TMT Literature
- J Frequently Asked Questions
- K Millennium Prize Documentation
- L Mathematica Verification Standards
- M TMT and Quantum Field Theory
- N Atomic, Nuclear, and Stellar Physics
- O Master Index
- P Polar Reformulation Dictionary
Every derivation and proof in this book is backed by machine-verifiable code. Lean 4 for formal proof verification, Python for numerical checks, and Mathematica for symbolic computation.