2025/01/01 by Wollbold, Jurgen
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #MMU #Methane Metauniverse #Neutrino Physics Research #Physical Sciences and Mathematics #Physics #Quantum Physics #Quantum and Classical Electrodynamics #alternative spacetime models #electron muon tau #fractral spacetime #g minus 2 #lepton hierarchy #tetrahedral geometry
paper · doi:10.17605/osf.io/gu9rq
openalex publication_date 2025/01/01 · openalex created_date 2025/11/25 · openalex updated_date 2026/07/01
This article develops a geometric model for the three charged leptons (electron, muon, tau) within the Methane Metauniverse MMU framework. In this approach spacetime is built from a dual tetrahedral unit, the UR cell, which has three internal deformation directions corresponding to electric, torsional, and volumetric response. The torsional plane inside this cell admits exactly three stable orientations separated by 120 degrees. These three orientations match the three observed lepton families. From this geometric structure the article derives the lepton mass formula, shows that the Koide relation follows as a direct geometric identity, and explains the mass hierarchy without introducing additional particle families or fields. The work also predicts how hydrogen spectra change when the electron is replaced by the muon or the tau, using the change in reduced mass. The model further produces a simple expression for the anomalous magnetic moments g minus 2 with fixed family ratios that do not depend on adjustable parameters. All results arise from the internal torsion geometry of the UR cell and the coupling between torsional and volumetric deformation. The article includes full mathematical derivations and a Python program that reproduces the mass structure, torsional phases, and the predicted g minus 2 pattern.