Lorentz-Compatible Elastic Medium, Spinorial Topological Defects, and Stochastic Quantum Mechanics
Abstract
Codebase for investigating a model in which quantum mechanics emerges from classical elastic scattering in an amorphous medium. Three sectors, each with independent tests: Sector 1 (Foam): DEC Bloch analysis on periodic foam complexes (C15, Weaire-Phelan, Kelvin, FCC). C15 Laves phase: delta_v/v = 0.93%, compatible with cavity Lorentz bounds (10^-18) with 27x margin. GRB dispersion n=2 from symmetry. Gauge-elastic bridge r ~ 1.0. 370 tests. Sector 2 (Particles): Topological defects (disclination loops) in medium with cubic O_h order. Spinorial sectors (720 deg) from binary octahedral group 2O without postulating SU(2). Hopping coupling, mode constraints, worldline parity on C15. 130+ tests. Sector 3 (Bombardment): QLM scattering -> gamma = kappa c/R -> D = hbar/(2m) -> Schrodinger equation (Madelung transform). Transport cross-section Sigma_tr measured via FDTD. Elastic scattering resolves Le Sage heating. ~30 tests. Total: 500+ tests, Python 3.9 / NumPy / SciPy.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Relativity and Gravitational Theory
Quantum Mechanics and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 February 2026
- Language
- EN
- Document type
- Preprint