Geometric Mass Theory in the ODD Framework

The Standard Model of particle physics and General Relativity describe nature using fundamentally different mathematical languages. The Operator-Derived Dimension (ODD) framework unifies them under a single geometric principle: the universe is a 5-dimensional rotating hypersphere, with observable reality existing as a stable 4-dimensional slice.This flagship paper presents the **Geometric Ladder**: a mathematical structure deriving matter and force properties from intersecting hyperspheres. We introduce the **Universal Mass Formula**, m = Muniv · e−nπ/2, which predicts the masses of all 12 fundamental fermions from a single bulk curvature scale (Muniv ≈ 173 GeV). We demonstrate that the ”Generations” of matter are discrete bands of geometric phase alignment (n) along the intersection seams. Furthermore, we outline the roadmap for extending this framework to include the Higgs mechanism, neutrino oscillations, gauge forces, and gravity as necessary consequences of the same hyperspherical geometry, with detailed derivations distributed across the ODD paper series.