2025/11/04 by Gericke, Marco · 1 voice
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Noncommutative and Quantum Gravity Theories #Statistical Mechanics and Entropy
paper · doi:10.5281/zenodo.17526745
openalex publication_date 2025/11/04 · openalex created_date 2025/11/06 · openalex updated_date 2026/07/01
This study investigates whether Lorentz symmetry and the vacuum speed of light can emerge from a discrete, prime-indexed information substrate within the Universal Model Framework (UMF). We present rigorous renormalization-group (RG) validation demonstrating that special relativity is not fundamental but emergent from prime-fractal dynamics. Key Results Lorentz-Flow Validation: Autonomous RG flow for dimensionless anisotropy parameter u (u=1 at Lorentz invariance) 21 initial conditions (u₀ ∈ [0.8, 1.2]) all converge to unique fixed point u* ≃ 1 Measured residual: |δu| ≤ 2.5×10⁻¹⁴ (acceptance threshold: 5×10⁻⁷) Exponential stability with λ ∈ [0.12, 0.19] Non-circular light-speed derivation: c²eff = 1/u* (no Planck-unit tautology) This project was developed by Marco Gericke, with structured assistance from a large language model. All scientific concepts and conclusions were generated, verified, and interpreted by the author. Dedicated to Peter Plichta, who envisioned the code before it could be computed.