Unified Quantum Gravity Architectural Framework & Appendix B: The Nucleon Triad & Geometric Origin of Nuclear Mass

Version 3. 0: The Nucleon Triad & Geometric Origin of Nuclear Mass Update Summary: This release (Version 3. 0) introduces Appendix B, which extends the Unified Quantum-Geometric Analytic Framework (UQGAF) to the strong nuclear sector. Following the successful derivation of the Electron (Tₑlectron) in Appendix A, this update provides the explicit geometric derivation of the inertial masses of the Proton and Neutron from first principles. Key Discoveries in Version 3. 0: 1. The Geometric Structure of the Nucleus Using the HCA-Engine Deep Topological Scan, we have isolated the precise integer knot configurations that generate the inertial masses of the nucleons as geometric standing waves on a toroidal manifold (2π²). The Proton (Ground State): Identified as the highly stable Torus Knot T (126, 2137). Derived Mass Ratio: 1836. 152542. . . Experimental Value: 1836. 152673. . . Precision: 99. 9999% (< 1 ppm error) The Neutron (Metastable State): Identified as the higher-complexity harmonic T (341, 3518). Derived Mass Ratio: 1838. 685919. . . Experimental Value: 1838. 683661. . . Precision: 99. 9998% 2. The Geometric Origin of Beta Decay Standard physics describes Beta Decay as a weak force interaction. This framework reinterprets it as a Topological Relaxation Event. The Neutron knot (341 loops) is topologically "over-tensioned" relative to the Proton (126 loops). The decay process (n → p + e + ν) is the vacuum's mechanical necessity to shed this excess geometric complexity (P ≈ 215 difference) to reach the stable ground state. Included Files: UnifiedQuantumGravityArchitecturalFramework. pdf (The Core Theory & HCA-Engine Logic) AppendixAElectronDerivation. pdf (Derivation of the Fine Structure Constant to 99. 99999%) AppendixBNucleonDerivation. pdf (NEW: Derivation of the Proton, Neutron, and Beta Decay) Conclusion: With the publication of Appendix B, the UQGAF has now successfully retrodicted the fundamental constants for the complete atomic triad (Electron, Proton, Neutron) purely from geometric integers, confirming that matter is a structured resonance of spacetime topology.