Description
This monograph develops a unified framework - Signature Field Theory (SFT) - that reconceptualizes decision, cognition, and behavior as the dynamics of structured fields rather than evaluations of functions. Departing from classical models based on probability, utility, and separability, the theory introduces a complex field representation: whose observable projection: recovers probability as a derived quantity. Within this formulation, amplitude encodes intensity of preference, while phase encodes relational structure, context, and interference. The framework integrates multiple layers: 1. Geometry - The space of fields is endowed with information-geometric structure, combining Fisher and Bures metrics. Curvature emerges as a measure of sensitivity, instability, and deviation from classical rationality. 2. Dynamics - Behavior is modeled as a nonlinear field evolution governed by a unified partial differential equation. Decisions correspond to attractors of this dynamics rather than solutions to optimization problems. 3. Signature Space (GTSS) - A parametric structure defines regimes of behavior.