Preprints (Figshare)

All preprints are available with DOI on Figshare. arXiv submission pending endorsement.

Fine-Structure Constant

  1. α Λ_φ + τ = 1: The Three-Layer Structure of the Fine-Structure Constant DOI: 10.6084/m9.figshare.31866163

  2. α = φ²/360: A New Conjecture on the Fine-Structure Constant DOI: 10.6084/m9.figshare.31840012

  3. α = cos²(π/5)/90: The Geometric Anatomy of the Fine-Structure Constant DOI: 10.6084/m9.figshare.31839535

  4. The Arithmetic Origin of Cosmic Evolution: From the Fine-Structure Constant to the Age of the Universe DOI: 10.6084/m9.figshare.31839508

  5. α⁻¹ = 360/φ²: The Universal Formula from Quarks to Galaxies DOI: 10.6084/m9.figshare.31839511

  6. A Zeta-Function Reformulation of Wyler’s Geometric Formula for the Fine-Structure Constant DOI: 10.6084/m9.figshare.31809935

  7. The Arithmetic of Light: From the Riemann Zeta Function to a Universal Fine-Structure Constant DOI: 10.6084/m9.figshare.31812345

  8. The Prime Structure of Electromagnetic Constants DOI: 10.6084/m9.figshare.31809935

Riemann Hypothesis

  1. Strong Log-Concavity of the Riemann-Jacobi Kernel: Quantitative Turán Inequalities, Weil Positivity Evidence, and a Program for the Riemann Hypothesis DOI: 10.6084/m9.figshare.31879441

  2. Seven Perspectives on the Riemann Hypothesis: A Unified Computational Exploration with 10,000 Zeros DOI: 10.6084/m9.figshare.31817662

Superconductivity & Condensed Matter

  1. Quantum Metric as a Universal Diagnostic for Superconducting Critical Temperatures: A Two-Channel Framework Informed by the Bost-Connes System DOI: 10.6084/m9.figshare.31833382

  2. Band-basis decomposition of superfluid weight in magic-angle twisted bilayer graphene DOI: 10.6084/m9.figshare.31820038

Number Theory

  1. Mahler Measures of the Bertin-Touafek Family and Special Values of L-Functions: New Conjectures from a Systematic Numerical Survey DOI: 10.6084/m9.figshare.31811689

Mathematical Physics

  1. Stokes Multipliers of x^{2M} Anharmonic Oscillators: Exact Results via PSLQ DOI: 10.6084/m9.figshare.31815678

  2. Lattice Green Functions in d ≥ 4: A Domb Number Decomposition DOI: 10.6084/m9.figshare.31815690

📊 Statistics (as of March 29, 2026): 16 preprints · 317+ views · 282+ downloads