The Field of Meaning

This monograph develops a comprehensive theoretical framework - Cognitive Field Theory(CFT) integrated with the General Theory of Signature Space (GTSS) - that reconceptualizes cognition, decision-making, social interaction, and artificial intelligence as manifestationsof dynamic fields rather than functional mappings. Beginning with the formalization of local kernels  and their integration into global potentials, the work constructs acontinuous field variable  governed by a variational principle through an energy functional. The resulting dynamics, derived via Euler-Lagrange equations, are extended to include dissipation, stochasticity (Langevin dynamics), and distributional evolution (Fokker-Planck equation).