A Formal Axiomatic Verification Framework for the Structural Invariant K: From Locality to Universality

This work presents a detailed mathematical analysis related to mirror shell symmetry and the A-B asymmetry index. It develops the mathematical relations and supporting calculations used to examine the symmetry properties of the studied system and to quantify deviations from the expected symmetric behavior. The work is intended as a complementary mathematical section to the main research and provides additional derivations, explanations, and analytical details supporting the results presented in the main study.