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RQGP n2 Axis Asymmetry and Realizability from RQGP Axis Law v2.2

Authors: Kilmartin, Greg;

RQGP n2 Axis Asymmetry and Realizability from RQGP Axis Law v2.2

Abstract

We present a data-driven analysis of axis asymmetry and realizability within the RQGP frameworkunder Axis Law v2.2. Using a combination of discrete axis enumeration, continuous optimization,and topology bridge probes, we demonstrate that the three n3 axes (X, Y, Z) are structurally andtopologically non-equivalent.The reduced structural law separates into polarity (triad) and capacity terms, yielding a per-sistent asymmetry in which X is mixed, Y is polarity-dominant, and Z is capacity-dominant.Coupling this law to a constrained flow (bridge) formalism reveals that structural admissibility andtopological realizability are distinct.We establish three core results: (i) the proton-like to neutron-like structural uplift is local-ized entirely on the Y axis (Y-only defect theorem); (ii) nontrivial stable realization requires thejoint presence of X (injection) and Z (termination); and (iii) the topology layer is exactly mirror-symmetric under sign inversion. We show that closure viability is governed not by dimensionalitybut by the ability to realize injection (X), routing (Y), and termination (Z) internally.The combined data supports a functional decomposition in which X injects imbalance, Y acts asa polarity-sensitive routing constraint, and Z enables internal closure through preferred termination.These results provide a consistent structural foundation for further development of RQGP topologyand its relation to nuclear binding models

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