INVARIANT MODEL OF BOLTZMANN STATISTICAL MECHANICS AND ITS IMPLICATIONS TO HYDRODYNAMIC MODEL OF ELECTROMAGNETISM, PHYSICAL FOUNDATIONS OF QUANTUM MECHANICS, RELATIVITY, QUANTUM GRAVITY AND QUANTUM COSMOLOGY

Abstract

Some implications of an invariant model of Boltzmann statistical mechanics to quantum nature of (space, time, mass), physical foundations of quantum mechanics, relativity, electromagnetism and Maxwell equations, quantum gravity and quantum cosmology will be discussed. In harmony with Huygens’ analogy between propagation of sound in air and light in ether, propagation of light wave is shown to involve an exceedingly thin longitudinal component besides its Maxwellian transverse polarizations. Following Maxwell and Lorentz, an invariant hydrodynamic model of electromagnetism is presented. It is expected that time-dependence of the speed of light, identified as root-mean-square velocity of gravitons, could be determined by measurement of changes in period of geological events caused by periodic cosmic radiation bursts from sources such as pulsars. New interpretation of physical foundation of quantum mechanics, Dirac wave equation, pilot waves of de Broglie-Bohm model will be described.

       Identifying physical space, Aristotle fifth element or Casimir vacuum, as a tachyonic compressible fluid, in harmony with Huygens and Planck compressible ether, Lorentz-FitzGerald contractions becomes causal (Pauli) leading to Poincaré-Lorentz dynamic as opposed to Einstein kinematic theory of relativity. Invariant forms of conservation equations lead to hydrodynamics of universe governed by quantum gravity as a dissipative deterministic dynamic system proposed by ‘t Hooft. The thermodynamics of universe suggests possible relevance of classical Nordström scalar, and Abraham vector theories of gravitation beside Einstein tensor theory. Also, some implications of the model to quantum cosmology, loop quantum gravity (LQG), and Everett multiverse are discussed.