2025/01/01 by Wollbold, Jurgen
Physics and Astronomy · #Balmer shift #Cosmology and Gravitation Theories #Lamb shift #MMU #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Zeeman deviation #elastic K matrix #elastic spacetime model #emergent relativity #geometric quantization #spacetime elasticity #unified spacetime model
paper · doi:10.17605/osf.io/bdta6
openalex publication_date 2025/01/01 · openalex created_date 2025/12/04 · openalex updated_date 2026/07/01
We present a minimal geometric-elastic model of spacetime in which every elementary region is represented by a dual-tetrahedral cell with three internal elastic coordinates (w2, w3, w4) and one projection coordinate w1. The model is built on three assumptions: (i) the internal axes are intrinsically non-orthogonal, (ii) all elastic stiffnesses scale universally with the microscopic edge length as ki(a) proportional to a-3, and (iii) observable time and frequency arise from the projection of internal motion onto w1. From these elements, the model reproduces the functional structures of several fundamental physical equations. The universal a-3 scaling leads to a discrete geometric quantisation of the internal length an proportional to n-2. Chains of electric deformation modes yield a radial continuum limit equivalent to the Schroedinger equation. A torsional duality of the internal shear axis naturally generates spin-1/2 and the Dirac structure. Spatial variations of the internal scale a(x) give rise to a deformation field whose continuum limit matches the weak-field Einstein equation. The three diagonal stiffnesses k2, k3, k4 define electric, magnetic-torsional, and inertial deformation modes, while their geometric cross-couplings generate Zeeman, Stark, hyperfine and Lamb-type responses. Because all internal energies scale as E proportional to a-3, the model predicts small but measurable shifts in atomic spectra under gravitational, electromagnetic, or torsional perturbations, including blueward Balmer shifts, enhanced Lamb splitting and deviations from linear Zeeman behaviour. Overall, the framework provides a single geometric substrate from which quantum, spinorial, electromagnetic, and weak-field gravitational phenomena emerge as macroscopic projections of microscopic elastic dynamics.