Categorical Structures in Signature Space

This monograph presents a systematic analysis of the analogy between the General Theory of Signature Space (GTSS) and category theory, demonstrating that the convergence between these approaches is deeply structural in nature, although it does not reduce to their formal identity. The point of departure is a reinterpretation of GTSS as a theory that is not only geometric and phase-based, but also relational, in which the primary role is played not by the objects themselves, but by the admissible transformations between them and the corresponding classes of equivalence.