2025/01/01 by Wollbold, Jurgen
Physics and Astronomy · #Atomic and Molecular Physics #Atomic and Subatomic Physics Research #Balmer Shift #FOS: Physical sciences #Hydrogen Deuterium Shift #Isotope Shifts #Lamb Shift #MMU #Methane Metauniverse #Nuclear physics research studies #Physical Sciences and Mathematics #Physics #Quantum Geometry #Quantum Physics #Space Elasticity #Unified Model #Zeeman Shift
paper · doi:10.17605/osf.io/mzrq3
openalex publication_date 2025/01/01 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/01
This article presents a simple and unified geometric method to predict isotope shifts in atomic spectra. The approach is based on the internal length scale "a" of the MMU model, which describes matter and spacetime as a dual tetrahedral elastic structure. When the nuclear mass changes, the reduced mass of the electron nucleus system changes as well. This produces a small compression of the internal geometric length a, and this single effect is sufficient to predict isotope shifts. The method uses three universal scaling laws of the MMU model: Balmer shift scales as a^(-1) Zeeman shift scales as a^(+1) Lamb shift scales as a^(-3) With only these rules and the reduced mass, the model reproduces the measured hydrogen deuterium Balmer isotope shift with less than one percent deviation, without using QED or perturbation theory. The method also predicts clear isotope effects in the Zeeman and Lamb signals, which have not yet been measured and therefore represent new experimental opportunities. The article includes a Python implementation of the "MMU Isotope Machine" that calculates all isotope shifts for H, He, Li, O, and Ca. Two figures visualize the results: one shows all predicted shifts across isotopes, and the other shows the scaling laws as functions of a relative change in the internal length a. This work demonstrates that many isotope dependent phenomena can be understood through a single geometric mechanism, offering a simplified and predictive alternative to standard atomic physics.