Varying Coupling Constants and Their Interdependence

Abstract

Since Dirac predicted in 1937 possible variation of gravitational constant and other coupling constants from his large number hypothesis, efforts continue to determine such variation without success. Such efforts focus on the variation of one constant while assuming all others pegged to their currently measured values. We show that the variations of the speed of light $c$, the gravitational constant $G$, the Planck constant $h$, and the Boltzmann constant $k$ are interrelated: $G\sim c^3\sim h^{3/2}\sim k^{3/2}$. Thus, constraining any one of the constants leads to inadvertently constraining all the others. It may not be possible to determine the variation of a constant without concurrently considering the variation of others. We discuss several astrophysical observations that have been explained recently with the concomitant variation of two or more constants. We also analyze the reported and unexplained 35 micro-gram decrease of 1 Kg Pt-Ir working standards over 22 years of measurements and show that the Kibble balance, that measures mass in units of Planck constant, cannot determine the variation of h when h and c variations are interrelated as determined in here.

arXiv comment6 pages. This version has been corrected for the error in the variation of the Planck constant

References in corpus (25)

• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• The fundamental constants and their variation: observational status and theoretical motivations
• Varying constants, Gravitation and Cosmology
• `c' is the speed of light, isn't it?
• The Gravitational Constant, the Chandrasekhar Limit, and Neutron Star Masses
• Tests of Gravitational Symmetries with Pulsar Binary J1713+0747
• Improved BBN Constraints on the Variation of the Gravitational Constant
• Measuring the speed of light with ultra-compact radio quasars
• Type Ia supernovae, standardisable candles, and gravity
• Constraints on the time variation of the gravitational constant using gravitational-wave observations of binary neutron stars
• Measurement of the Boltzmann constant by the Doppler broadening technique at a 3,8x10-5 accuracy level
• Dodging the cosmic curvature to probe the constancy of the speed of light
• An independent constraint on the secular rate of variation of the gravitational constant from pulsating white dwarfs
• Cosmology, Oscillating Physics and Oscilllating Biology
• Asteroseismic constraints on the cosmic-time variation of the gravitational constant from an ancient main-sequence star
• Measuring the speed of light with Baryon Acoustic Oscillations
• Cosmology with relativistically varying physical constants
• Observational constraint on the varying speed of light theory
• Effect of evolutionary physical constants on type-1a supernova luminosity
• Cosmological constraints on scalar-tensor gravity and the variation of the gravitational constant
• A search for the variation of speed of light using galaxy cluster gas mass fraction measurements
• Inconstant Planck's constant
• Can a variable gravitational constant resolve the Faint Young Sun Paradox ?
• Mixed Quantum States with Variable Planck Constant
• Varying physical constants and the lithium problem

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• Constraining Coupling Constants' Variation with Supernovae, Quasars, and GRBs
• Testing CCC+TL Cosmology with Galaxy Rotation Curves
• Stringent constraint on the CCC+TL cosmology with $H(z)$ Measurements
• Constraining Co-Varying Coupling Constants from Globular Cluster Age
• Evolution of Size, Mass, and Density of Galaxies Since Cosmic Dawn
• Constraining the Hubble parameter with the 21 cm brightness temperature signal in a universe with inhomogeneities
• Brans-Dicke-like field for co-varying $G$ and $c$: observational constraints
• Stochastic Approach to Determining the Mass Standard Based on the Fixed Values of Fundamental Physical Constants