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A Geometric Curvature Framework for Particle Masses and Isospin Splitting

Authors: Hanton, Julian;

A Geometric Curvature Framework for Particle Masses and Isospin Splitting

Abstract

This paper presents a phenomenological geometric framework that reproduces the strange-baryon spectrum, charged lepton hierarchy, and neutron–proton mass difference using a remarkably small set of recurring scales and geometric factors. The same structures also appear in several exploratory nuclear and hadronic observables. Rather than proposing a complete theory, the paper documents a series of unexpected numerical regularities and asks whether they point to an underlying geometric organisation of particle masses. Available Files in this Repository:* Main_Paper.pdf — Foundational framework, primary octet spine derivation, and charged lepton mapping. * Baryon_Framework_Extensions.pdf — Separate companion communication analyzing spin-3/2 decuplet spacing patterns and sub-MeV isospin-splitting consistency checks.

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