Multi-Seam Configuration and the Topological Scaling of Baryonic Mass (Information-Geometric Physics System II)

This study extends the Information-Geometric Physics System (IGPS) framework from single-node models to composite nuclear structures. By utilizing the Oloid Trinity Configuration, the research elucidates the topological origin of mass and the statistical properties of baryons. Key Analytical Points: Dimensional Jump: We characterize the "Dimensional Jump" phenomenon, representing an informational scale transition from planar seam scaling to the volumetric scaling of entangled manifolds. This leads to the derivation of the universal geometric multiplier G = 43^2, originating from the S³ configuration space volume and the SU (3) non-singlet color fraction, which bridges the mass scales between leptons and nucleons. The 5/2 Theorem: The interaction strain overhead is rigorously derived as = 2. 5 using the central charges of the Goddard-Kent-Olive (GKO) coset construction (V₈₆₏ₒ = SU (3) ₁^ 3/SU (3) ₃). Together with G, this yields a proton mass prediction that aligns with CODATA standards to within a 0. 004% precision threshold. Emergence of Spin-Statistics: The research derives Fermi-Dirac statistics and fractional spin-1/2 as necessary topological consequences of maintaining C^2 continuity on manifolds entangled through the SU (2) double-covering structure. Conclusion: Residual analysis indicates that the 0. 004% numerical discrepancy represents the expected precision of a leading-order geometric estimate, with further corrections appropriately deferred to non-perturbative QCD dynamics. These findings confirm that baryonic structures represent the most stable volumetric organization of information, effectively achieving structural closure for the origin of matter within the IGPS theoretical framework.