The cosmological evolution condition of the Planck constant in the varying speed of light models through adiabatic expansion

Abstract

There have been various varying speed of light (VSL) models with one free parameter, $b$, to characterize the time variation of the speed of light as a function of a scale factor, $c=c_0{a}^{b/4}$, based on the expanding universe. One needs to induce cosmological evolutions of other physical constants and quantities having different powers of scale factor as a function of $b$ to satisfy all known local physics laws, including special relativity, thermodynamics, and electromagnetic force. These models should be based on the Friedmann-Lemaître-Robertson-Walker metric satisfying the isotropic and homogeneous three-space known as the cosmological principle. Adiabaticity is a necessary condition to keep homogeneity and isotropy because a net energy flux would falsify the isotropy if there is a preferential energy flow direction. It also might forge homogeneity if the outward (inward) flow is isotropic. Thus, any VSL model based on the expanding universe should preserve an adiabatic expansion condition to be a viable model. We show that this condition specifies the cosmological evolution of the Planck constant as $\hslash ={\hslash }_0{a}^{-b/4}$.

arXiv commentversion 3 to match the version accepted by PDU. 14 pages, 2 tables

References in corpus (24)

• Cosmology and fundamental physics with the Euclid satellite
• Varying constants, Gravitation and Cosmology
• A time varying speed of light as a solution to cosmological puzzles
• Superluminary Universe: A Possible Solution to the Initial Value Problem in Cosmology
• Cosmologies with Varying Light-Speed
• Is the Observable Universe Consistent with the Cosmological Principle?
• The status of varying constants: a review of the physics, searches and implications
• Dynamical Mechanism for Varying Light Velocity as a Solution to Cosmological Problems
• Solving the Flatness and Quasi-flatness Problems in Brans-Dicke Cosmologies with a Varying Light Speed
• Fractal Dimension as a measure of the scale of Homogeneity
• Constraints on the CMB Temperature Evolution using Multi-Band Measurements of the Sunyaev Zel'dovich Effect with the South Pole Telescope
• Microwave Background Temperature at a Redshift of 6.34 from H2O Absorption
• Exploring Cosmic Origins with CORE: The Instrument
• The minimally extended Varying Speed of Light (meVSL)
• Constraining the evolution of the CMB temperature with SZ measurements from Planck data
• High-Angular-Resolution and High-Sensitivity Science Enabled by Beamformed ALMA
• A viable varying speed of light model in the RW metric
• A cosmology with variable c
• A varying-c cosmology
• Constraining CMB temperature evolution with Sunyaev-Zel'dovich galaxy clusters from the Atacama Cosmology Telescope
• Varying alpha, blinding, and bias in existing measurements
• Future mmVLBI Research with ALMA: A European vision
• Bigravity: a bimetric model of the Universe with variable constants, inluding VSL (variable speed of light)
• Fundamental physics constraints from testing the stability of the fine-structure constant with the ELTs

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