Time-Generation Law

• A Physical Law for the Local Generation of Time: Irreversible Record Formation and the Contraction of Accessible Futures
  January 5, 2026

• Spacetime from the Contraction of Possibility on Fl₁,₂(ℂ³) × ℂP¹
  March 14, 2026

  • Mass as Temporal Capacity: An Ontological Foundation for the Local Generation of Time

  • Atemporal Limits of Emergent Time: Black Holes, Horizons, and the Saturation of Temporal Capacity

  • Gravitation as a Gradient of Temporal Capacity: A Record-Theoretic Interpretation of Spacetime Curvature

  • Quantum Mechanics as Unrealized Temporal Capacity: The Microscopic Limit of Emergent Time

  • Fixing the Structural Efficiency Constant by Invariant Normalization on ℂℙ¹
    

Unified Dynamics from Generative Contraction

• Unified Dynamics from Time Generation: Schrödinger, Yang–Mills, and Einstein as Regimes of Generative Contraction
  February 10, 2026

  • Electroweak Mixing from Minimal Exhaustion and Γ-Metric Dynamics

  • Gauge Structure from Generative Exhaustion: A Commutant Construction from Constraint Algebra

  • Hawkes Corrections and Radiative Stability of the Record-Formation Potential

  • The Cosmological Constant from a Hawkes–Cramér Branching Ratio

  • Experimental Signatures of the Generative Scalar: A Sub-Millimeter Yukawa Force from the Cosmological Constant
    

Emergence as Regime Formation

• Emergence as Regime Formation I: Law as the Exhaustion of Generative Freedom
  February 5, 2026

• Emergence as Regime Formation II: Topological Defects, Anomalous Phase Transitions, and Algebraic Stability
  February 11, 2026

• The Fine-Structure Constant from Regime Locking: A Self-Consistent Hierarchy Equation with No Adjustable Parameters
  February 21, 2026
  

Algebraic Topology

• Finite-Size Activation in Prime Knot Enumeration: A Local-Growth Perspective
  January 20, 2026

• On Activation-Anchored Asymptotics: Finite-Size Structure and the Origin of Growth
  January 30, 2026

Particle Physics Topology

• Toward the Standard Model from Kähler Exhaustion on the Product Flag Manifold

  • Particle Physics from Topological Saturation: Mass, Charge, and Radius from the ℂP¹ ↪ ℂP² Embedding

  • The Ground-State Baryon Spectrum from Topological Saturation

  • Charge, Gravity, and Oscillation as the Three Faces of Generative Exhaustion on Kähler Manifolds

  • The Flag Manifold of ℂ³ and the Unified Origin of Particle Quantum Numbers

  • Fermion Generations from Geometric Compression on the Flag Manifold

  • Toward the Standard Model from Kähler Exhaustion on the Product Flag Manifold

  • The Higgs Boson Mass from the Scalar Curvature of ℂP¹

Quantum Foundations from Irreversible Records

• On the Nature of Quantization: Light, Time, and the Contraction of Possibility

• Quantum Electrodynamics Without Renormalization: A Record-Scale Ultraviolet Completion

• Derivations Without Field Quantization: The Planck Spectrum, Casimir Force, Lamb Shift, and Fundamental Constants from Irreversible Record Formation on ℂℙ¹

• The Born Rule from Irreversible Records: Derivation, Finite-Time Corrections, and an Experimental Test

• Derivations Without Field Quantization: The Planck Spectrum, Casimir Force, Lamb Shift, and Fundamental Constants from Irreversible Record Formation on ℂℙ¹

• The Measure on Possibility Space Ω: Area Quantization and the Bekenstein–Hawking Entropy from Irreversible Records
  

Lattice Gauge Theory

• The Mass Gap of Four-Dimensional Yang–Mills Theory via Volume-Uniform Functional Inequalities
  March 2, 2026

• Volume-Uniform Poincaré Inequalities as a Mechanism for the Yang–Mills Mass Gap
  March 2, 2026

  • Nontrivial Scaling Fields and the Regime Dichotomy for Lattice SU(2) Yang–Mills Theory

  • Vanishing of Hypercubic Anisotropy in the Scaling Limit for SU(2) Yang–Mills Schwinger Functions

  • From Lattice Mass Gap to Continuum SU(2) Yang–Mills Theory: O(4) Restoration and Osterwalder–Schrader Reconstruction

  • Quantitative Mass Gap Bounds from Projective Contraction for Truncated Lattice SU(2) Yang–Mills Theory

  • Quantitative PF₂ Stability and Explicit Zero-Free Neighborhoods for Truncated Lattice SU(2)

  • A Uniform Zero-Free Strip for the SU(2) Lattice Yang–Mills Partition Function via Effective Log-Concavity

  • Free-Energy Scan Across the α = 0 Boundary in Tilted SU(2) Lattice Gauge Theory

  • Log-Concavity of Dimension-Weighted Character Coefficients and a Lee–Yang Programme for Lattice Yang–Mills

  • Concavity of the Free Energy in Tilted Yang–Mills Measures: No First-Order Phase Transition at α = 0

  • Lattice Monte Carlo Evidence for Confinement Enhancement from Reflection-Positive Tilted Yang–Mills Measures

  • Reflection Positivity of Tilted Yang–Mills Measures: An Obstruction and Its Resolution

  • Infinite-Volume Gibbs States for Tilted Lattice Yang–Mills Measures

  • Record-Formation Cost and a Spectral Gap in Contraction-Weighted Yang–Mills