2025/10/08 by Wollbold, Jurgen
#FOS: Physical sciences #Physical Sciences and Mathematics #Physics #Quantum Physics #hydrogen 21 cm line · hyperfine structure · isotope shift · geometric model of space · torsional resonance · tetrahedral lattice
paper · doi:10.17605/osf.io/jc2s4
We derive atomic ionization energies, molar masses, and spectral series from a single geometric principle: the elastic coupling of space itself. Within the Methane Metauniverse (MMU) framework, matter arises as tetrahedral oscillators (w2, w3, w4) whose measurable projec- tion on w1 defines observable energy. Using this four-axis elasticity, we recover the Rydberg formula, the hydrogen 21 cm hyperfine transition, and the periodic trends of ionization energies from hydrogen to argon with 1–3% accuracy. Atomic masses follow directly from the same inertial–elastic scaling, reproducing standard molar weights without adjustable parameters. The effective nuclear charge Zeff and the re- duced mass μ emerge geometrically from the overlap of internal springs and the finite stiffness kG of space, providing a causal origin for both quantum quantization and isotopic shifts. The MMU thus bridges geometry, elasticity, and quantum structure in a unified formulation that reproduces all known atomic data while suggesting measurable extensions beyond the standard model.