Description
Singularity and Choice develops a geometric theory of decision and structured systems based on the General Theory of Signature Space (GTSS). The central thesis of the book is that preference, collapse, and structural stability are not functional anomalies of rational choice but geometric phenomena emerging from nonlinear reinforcement dynamics. The theory begins from a minimal micro dynamic schema, describing reinforcement with memory. In the continuous limit, this generates S-theory - a nonlinear probability flow on the simplex. From this flow emerges curvature: inequality becomes geometric structure, formalized through the system and expressed in signature parameters, where governs intrinsic curvature generation, regulation strength, and temporal inertia.