2025/10/17 by Wollbold, Jurgen
#21 cm line #FOS: Physical sciences #Lamb shift #Larmor coupling #MMU #Methane Metauniverse #Newton constant #Physical Sciences and Mathematics #Physics #Planck constant #Quantum Physics #UR-tetrahedron #Zeeman shift #dual scaling #elastic space #electron muon tau #finite-element simulation #g-2 anomaly #geometric model #hyperfine structure #internal scale #resonance quantization #spin elasticity #torsional mode #vacuum elasticity
paper · doi:10.17605/osf.io/nrw3s
The Methane Metauniverse (MMU) models matter as a network of tetrahe- dral space cells whose internal elastic oscillations generate the observed constants and spectra of physics . Each cell—the UR–tetrahedron—is characterized by stiffness constants ki, cross couplings kij , and inertial coefficients mi. These parameters determine the natural frequencies ωn of the hidden internal motion, whose projection reproduces discrete spectra in atomic systems. We establish the mathematical definition of the UR–tetrahedron, derive the internal elastic laws ki(aint) ∝ a−3 int and the mass law mi(aint) ∝ a−1 int , and show how the geometry yields the fine–structure constant α, Planck’s constant h, and Newton’s constant G without empirical fitting beyond a reference scale. A key clarification is the coexistence of two geometric lengths: the internal edge aint, governing inertia and eigenfrequencies, and the external projection scale af defined by the continuum balance mc2 = Eeff a3f . Applying these relations, the model generates the electron, muon, and tau hierarchy as geometric scalings of the same cell and recovers the 1/n2 spectral law; numerics for g − 2 follow from the transport frequency Ω = c/aint and agree at the 10−3 level.