A Para-Hermitian Geometric Framework for Quantum Mechanics and General Relativity: Time as a Mode of Each Fundamental Dimension

We propose a six-dimensional para-Hermitian manifold in which each spatial dimension carries an intrinsic temporal mode via split-complex coordinates , . The resulting $(3,3)$-signature geometry restricts exactly to Minkowski space on the four-dimensional submanifold defined by synchronized temporal modes. This arena has two dynamical limits: when the three temporal modes are locked in phase, the Kaluza–Klein reduction recovers Einstein gravity; when they fluctuate relative to one another, the non-relativistic limit of the bulk wave equation recovers the Schrödinger equation. The quantum/classical divide is therefore not a foundational mystery but a statement about phase relationships among temporal modes. The Wheeler–DeWitt frozen-time problem is dissolved because dynamics is relational (it is in the phase difference between modes, not in any absolute time).