1.6 Benign Mutual Conjugate Locking and Schur Rigidity

This paper summarizes the core result of Volume 1 — the Benign Mutual Conjugate Locking Theorem. The Multiplier Sequence, Sector-Factor Binding, Born Rule, Algebraic Normalization, and Algebraic Action form a five-layer mutual conjugate locking structure. Any change to a single link renders the entire system non-self-consistent. Schur Rigidity ensures that this locking is an algebraically inescapable rigidity. This paper further provides a layer-by-layer analysis of the five-layer rigidity, the hierarchical dependency chain, the Degree-of-Freedom Counting Theorem, the relation between rigidity and falsifiability, and a rigidity comparison with other mainstream theories (Standard Model, MSSM, String Theory).