RQGP Structural Derivation of the Y-Defect Instability Criterion

We present a graph-theoretic analysis of a Kirchhoff flow network model of nucleon topology,termed the Refined Quantum Geometric Physics (RQGP) framework. In this model, protonsand neutrons are represented as three-node flow networks on structural axes (X, Y, Z), distin-guished by a single boundary asymmetry: the neutron Y-node carries a sink value b[nY] = −0.5(the Y-defect) while the proton Y-node carries a source value b[pY] = +1.0. Equilibrium iscomputed by minimizing a quadratic Relative Topologial Strain (RTS) subject to Kirchhoffconservation constraints, with four locked resistance parameters and no refitting within thetested classification set.Seven structural theorems are proved governing the behavior of the Y-defect node withinthe locked network. A six-type edge flow taxonomy is established. A computable instabilitycriterion (C3) is derived from these structural foundations, consisting of a Y-defect pressuremetric ΨY , a structural RTS per nucleon, and a binding-energy suppressor term. The criterionis calibrated to a single anchor (the isolated neutron) and tested against six further topologieswithout adjustment.Within the tested threshold-class sample, the criterion correctly separates decaying fromstable topologies. Two additional decay classes — polarity drift (D-β) and particle emission (N-emit) — are identified as structurally distinct and outside the criterion’s scope. The frameworkis a static graph-theoretic model. It does not predict absolute decay rates, physical masses, ordecay product identities. Its domain is structural ordering within the locked network: whichtopologies satisfy the instability criterion and which do not. A word from the author, I do not fully understand all of the items presented in these works. I originally thought I was doing physics works, I have learned I am not. I apologize if I have insulted those who do the difficult, meticulous and discplined works in their respective professions. I am just one man who is trying to ask the deeper questions as to what are these entities (quarks, protons, neutrons, electrons, etc...) and the conditions that create them. These are just ideas, I publish these works not to suggest I have the deeper answers, I am only probing the thoughts I have and trying to contribute to the compendium of human knowledge. Those who take the time to read and understand may benefit from the ideas presented.