Coherent Commutativity and Commutativity Islands in Noncommutative Systems

Version 3: This version refines the exposition, strengthens the structural definition of commutativity as a restricted case of transformation without relevant contextual accumulation, and clarifies the notions of structural memory, coherent commutativity, and commutativity islands. It also improves the visual presentation of the key algebraic relations, incorporates stronger continuity with earlier MGQC studies, and sharpens the interpretive distinction between literal commutativity, contextual re-expression, and locally commutative domains, while preserving the article’s central thesis and role within the MGQC research program. Abstract Commutativity is one of the most familiar properties of classical…