2025/01/01 by Wollbold, Jurgen
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #MMU #Methane Metauniverse #Neutrino Physics Research #Physical Sciences and Mathematics #Physics #Quantum Physics #Quantum and Classical Electrodynamics #Stark effect #lepton mass ladder #lepton masses #mass hierarchy #spacetime elasticity
paper · doi:10.17605/osf.io/p8zt7
openalex publication_date 2025/01/01 · openalex created_date 2025/12/13 · openalex updated_date 2026/07/15
ABSTRACT We present a geometric elastic interpretation of lepton masses in which the electron muon and tau arise as discrete torsional states of an internal two dimensional plane of space. The mass hierarchy follows from three stable configurations separated by 120 degrees leading to a quadratic mass relation mi = M Ai2 with a single scale parameter. From the fitted lepton spectrum we extract an effective torsional length aeff approximately 0.94 fm and a corresponding microscopic shear modulus G approximately 4.0e34 Pa. The same torsional scale predicts a universal mur3 dependence for isotope effects. We demonstrate that this scaling is quantitatively consistent with both isotope shifts and hydrogen hyperfine 21 cm isotope ratios at the 1e-4 to 1e-6 level without introducing additional free parameters. Finally we derive a falsifiable experimental prediction an isotope correlated quadratic Stark residual in the 21 cm transition at high electric fields.