QDH Theory — The Mathematical Realization of the Equation of Everything

This document presents Version 4 of the QDH Theory (Quantum–Dynamic–Hyperfield Framework) — the mathematical unification of relativity, quantum mechanics, thermodynamics, and the four fundamental interactions within a single temporal field ξ. Building upon the conceptual foundations established in previous versions (V1–V3), V4 represents the full mathematical realization of the theory, where every known physical law emerges as a projection of the evolving temporal geometry ξ. The formulation introduces a unified, divergence-free master equation — the QDH Equation of Everything — linking gravity, gauge interactions, quantum behavior, and thermodynamic flow under one consistent structure. This work closes the theoretical phase of QDH and opens the path toward Version 5 (V5), which will explore empirical applications, cosmological reconstructions, and measurable predictions related to variations of fundamental constants and cosmic polarization. Author: Mesbah Mohamed akram Year: 2025 Affiliation: Independent Theoretical Research, Algeria For scientific correspondence or collaboration inquiries: Email: [email protected] Researchers, physicists, and institutions interested in the mathematical or cosmological implications of the QDH framework are welcome to contact the author for academic discussion or collaboration.