Dynamics on the Simplex

This monograph develops a unified theoretical framework - Signature Field Theory (GTSS) - in which rational systems are represented asconfigurations in a geometric space defined by a triadic structure: where  a - denotes structure (constraints, priors),  b - denotes process (interaction, transformation), and  c - denotes outcome (results, realizations). Departing from classical approaches that model rationality as a functional mapping or a property of isolated agents, the theory reconceptualizes rationality as a field: a distributed, dynamic, and geometrically structured system evolving in Signature Space, a simplex endowed with metric, topological, and dynamical properties.