Quantum Dynamic Harmony (QDH): A Unified Temporal Field Framework for Relativity, Quantum Mechanics, and Cosmology

This document represents Version 5 of the Quantum Dynamic Harmony (QDH) framework — the first complete formulation uniting relativity, quantum theory, thermodynamics, and the four fundamental interactions through the temporal synchronization field ξ. Building upon previous theoretical and mathematical stages (V1 – V4), this version introduces: • A full derivation from the unified action principle. • Reformulated field equations integrating ξ into all physical sectors. • Detailed reconstructions of dark energy, dark matter, and black-hole dynamics. • A cosmological interpretation of the 6 % Hubble discrepancy as a natural result of temporal desynchronization. • Predictions linking cosmic expansion, quantum behavior, and the finite stability of spacetime itself. The work culminates in the Ω-Unified Equation, showing that all known physical laws arise as synchronized expressions of a single temporal field. This release also includes Appendices A–C, covering derivation methods, the continuum limit, and prospects for experimental verification. Author — Mesbah mohamed akram Published on Zenodo • 2025 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.