Abstract

This paper formalizes a field-theoretic approach to identity dynamics, where desires evolve as complex-valued functions over duration, now defined symmetrically across past and future. The fundamental equation i*dt*Psi = d^2_dt*Psi governs the unitary evolution of identity, treating duration dt in (-inf,inf) as an independent dimension analogous to spatial position. This extended framework bridges physical conservation laws with phenomenological experience [3, 12], modeling identity as a coherent field that diffuses, rotates, and interferes across both past and future temporal horizons while preserving total salience. We derive the equation from first principles of information conservation and temporal symmetry, then demonstrate its implementation for personal alignment and decision-making within the full temporal continuum.