Universality of Quantum Field Theory, Schrödinger and Dirac Wave Equations and Their Physical Foundations

Invariant model of Boltzmann statistical mechanics leads to invariant forms of conservation equations [1]. Stochastic definitions of universal Planck and Boltzmann constants (h, k) reveal hydrodynamic origins of quantum mechanics. Temperature limits (T = zero, T = infinity) of Huygens compressible ether lead to formation of (black, white) hole at (circumference, center) of Poincaré disk. Physical foundation of Schrödinger equation and wave function are described. Invariant Dirac relativistic wave equation is derived from invariant modified equation of motion. Introduction of absolute frame suggests new perspectives regarding Einstein’s GTR and general covariance. Newton law of gravitation is related to the pressure of Casimir vacuum. Modified form of equation of motion leads to modified Friedmann-Lemaître equations and de Sitter universe even in presence of matter and radiation. The hydrodynamics of universe is shown to follow either Schrödinger (non-dissipative, non-relativistic) or Dirac (dissipative and relativistic) wave equations with the latter in accordance with dissipative deterministic theory of quantum gravity introduced by ’t Hooft [2].



[1] Sohrab, S. H., 16th Chaotic Modeling and Simulation International Conference, C.H. Skiadas and Y. Dimotikalis (eds.), Springer Proceedings in Complexity, 2024.



[2] ‘t Hooft, G., Quantum Gravity as a Dissipative deterministic system, Class. Quantum Grav. 16, 3263 (1999).