Description
This monograph introduces the General Theory of Signature Space (GTSS) - a geometric theory of decision-making in which rationality is neither an intrinsic property of agents nor a normative axiom, but a phase state of an informational field. Departing from classical preference-based models (EU, CPT), decisions are modeled as field responses to probability, formalized by a function. The central concept of the theory is the geometric signature, which classifies response functions according to three invariants: curvature ( ), narrative drift ( ), and scale/memory ( ). These signatures form a signature space whose regions correspond to distinct phases of rationality (R, H, P, E, K), with boundaries interpreted as continuous or irreversible phase transitions. Within this framework, classical decision paradoxes (Allais, Ellsberg, Birnbaum) are not treated as reasoning errors but as geometric manifestations of field transitions.