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

Research Overview:

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 analyzes 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 sweep volume of entangled manifolds. This leads to the derivation of the universal geometric multiplier $G = \frac{4}{3}\pi^{2}$, which bridges the mass scales between leptons and nucleons.

• The 5/2 Symmetry Theorem: Under rigidity constraints and $SU(3)$ symmetry, the interaction strain is shown to be topologically fixed at $\Delta = 2.5$. This results in a proton mass calculation that aligns with CODATA standards at a 99.99% precision threshold.

• Emergence of Spin-Statistics: The research derives Fermi-Dirac statistics and fractional spin-1/2 as necessary consequences of maintaining $C^{2}$ continuity on manifolds entangled through the $SU(2)$ double-covering structure.

Conclusion:

Residual analysis indicates that the observed numerical discrepancies are consistent with the order of radiative corrections in Quantum Electrodynamics (QED). These findings suggest that baryonic structures can be characterized as stable volumetric organizations of information within the IGPS theoretical framework.