Coherent Commutativity and Commutativity Islands in Noncommutative Systems

This article proposes a structural interpretation of noncommutativity based on the concept of coherent commutativity, in which apparently noncommutative operations may be reorganized through structural transformations related to conjugation in group theory. The work introduces the notion of commutativity islands, locally commutative domains embedded within globally noncommutative systems, and discusses examples arising in algebra, geometry, and quantum mechanics. The study also suggests the possibility of extending the classical concept of algebraic fields toward more general structures referred to as coherent fields. This work forms part of a broader research program referred to as the Model of General…