What question did this study set out to answer?

The aim is to explore how quantum mechanics can emerge from classical interactions within a unique elastic medium.

February 13, 2026Open Access

Lorentz-Compatible Elastic Medium, Spinorial Topological Defects, and Stochastic Quantum Mechanics

Key Points

The aim is to explore how quantum mechanics can emerge from classical interactions within a unique elastic medium.
Conducted extensive testing across three sectors: foam analysis, topological defects, and bombardment mechanics.
Applied DEC Bloch analysis on periodic foam structures and measured their compatibility with Lorentz bounds.
Analyzed spinorial sectors and coupling in an order structure without assuming SU(2) symmetry.
Used FDTD methods to measure transport cross-section in quantum interactions.
Identified significant compatibility of the C15 Laves phase with Lorentz bounds, exceeding margins by 27 times.
Detected spinorial sectors exhibiting unique properties related to the binary octahedral group.
Elastic scattering models explained observed phenomena such as Le Sage heating through new correlations.

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: deltaᵥ/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 Oₕ 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 Sigmaₜr measured via FDTD. Elastic scattering resolves Le Sage heating. ~30 tests. Total: 500+ tests, Python 3. 9 / NumPy / SciPy.

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Alexandru Toader (Wed,) studied this question.

synapsesocial.com/papers/698ebf6985a1ff6a93016ecf https://doi.org/https://doi.org/10.5281/zenodo.18612516

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