Research Summary: IGPS I – Emergence of Leptonic Properties This work introduces the Information-Geometric Physics System (IGPS) to explain the origin of fundamental leptonic properties through the geometry of the Oloid manifold. Key Contributions: Geometric Modeling: Modeling fundamental particles as "closed information nodes" on an Oloid manifold under C2 continuity constraints. Mass Derivation: Deriving spectral mass from curvature integrals and normal bundle holonomy along the manifold's seam. Topological Spin: Proving that the SU(2) double-covering of the SO(3) seam moduli space naturally induces spin-1/2 structures. Fundamental Constant Beta: Identifying the universal geometric stiffness parameter β = 1/(sqrt(3)π) as the governing invariant for internal strain. Impact: The framework establishes a direct link between the fermion mass spectrum and the topology of informational manifolds, laying the groundwork for analyzing baryonic mass scaling and strong interactions in the IGPS series.
Pruk Ninsook (Thu,) studied this question.