The Universal Coherence Principle: A Geometric-Deterministic Law for Force Regularization in Quantum and Relativistic Limits

This paper analyzes the **Resonant Photon-Matter State** and its critical relation to black hole physics, proposing that the apparent randomness of quantum systems is an **epistemic limitation**—the result of unobserved geometric variables () generating complex, **irrational value sequences** (-Cosmic Determinism). We demonstrate that the existence of stable matter (the pair) is fundamentally dependent on the **kinetic energy dominance** that overcomes the immediate Coulombian collapse. This leads to the derivation of the **Force Shut-Off Mechanism**, a universal law formalized by a regularization function () that prevents mathematical singularities () in both gravitational and electromagnetic potentials, ensuring the causal consistency of the universe across all scales.