aaronlax/geometry-of-experience: v2.0.0: Parafermion Universality & Prior Art

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Authors: Aaron Lax, WAR-0
Cited by: 0

Abstract

v2.0.0 Release — January 31, 2026 New Theorems Theorem 6: Parafermion Universality — η = 1/15 from Z₃ CFT (k=3) Theorem 7: Born Rule — P = |ψ|² from Fisher-Fubini metric compatibility Theorem 8: Fibonacci Fusion — τ × τ = 1 + τ from collision topology New Constants | Quantity | Formula | Value | |----------|---------|-------| | Geometric friction | η = h_σ (Z₃) | 1/15 = 0.0667 | | MaxEnt exponent | β = η(1+h_σ) | 0.071 | | Fibonacci dimension | d_τ = φ | 1.618 (exact) | Prior Art Acknowledgments Added comprehensive PRIOR_ART.md documenting: Foundational work (Kendall, Barbour, Montgomery, Urbantke, Frieden, Hall-Reginatto) Empirical priority (Brannen 2010 for θ ≈ 2/9) Concurrent work differentiation (Nielsen TUFT) Novel Claims (No Prior Art) 2N = N! selection principle — Pure number theory, unique to this framework ℏ = J_min bridge — Forced by 2N = N!, not assumed η = 1/15 from Z₃ parafermion — CFT identification Fibonacci fusion from collision topology — Mechanism not in literature Files Added proofs/parafermion_eta.py proofs/born_rule_derivation.py PRIOR_ART.md RELEASE_NOTES_v2.md Priority v1.0.0: December 5, 2025 (d25e364) v2.0.0: January 31, 2026 (this release) This release establishes timestamped priority for all claims via GitHub + Zenodo DOI.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Quantum Mechanics and Applications Algebraic structures and combinatorial models

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
31 January 2026