Complex Time Quantum-Thermal-Geometric Dynamics: A First-Principles Master Equation for the Theory of Everything

We present a first-principles unifying framework based on \emph{fundamental complex time} $\theta=\tau+it/\hbar$ defined on a Kähler manifold, which resolves the long-standing incompatibility between quantum unitary dynamics, thermodynamic irreversibility, and gravitational geometry. We derive a unique, dimensionally consistent master equation that simultaneously describes quantum evolution, thermal relaxation, and geometric diffusion within a single analytic structure. The equation is not phenomenological but follows strictly from dimensional consistency and first principles of complex geometry. By incorporating gauge structures naturally associated with the Standard Model, the framework uniformly embeds quantum field theory, general relativity, thermodynamics, and particle physics into a single geometric description. We show that the coupling constant of the geometric term is uniquely fixed by fundamental constants, leaving no free parameters beyond an order-one dimensionless coefficient. The resulting equation represents a candidate master equationfor a Theory of Everything, reducing to known physics in appropriate limits while yielding testable predictions beyond established theories.