Local Varying-Alpha Theories

Abstract

In a recent paper we demonstrated how the simplest model for varying alpha may be interpreted as the effect of a dielectric material, generalized to be consistent with Lorentz invariance. Unlike normal dielectrics, such a medium cannot change the speed of light, and its dynamics obey a Klein-Gordon equation. This work immediately suggests an extension of the standard theory, even if we require compliance with Lorentz invariance. Instead of a wave equation, the dynamics may satisfy a local algebraic relation involving the permittivity and the properties of the electromagnetic field, in analogy with more conventional dielectric (but still preserving Lorentz invariance). We develop the formalism for such theories and investigate some phenomenological implications. The problem of the divergence of the classical self-energy can be solved, or at least softened, in this framework. Some interesting new cosmological solutions for the very early universe are found, including the possibility of a bounce, inflation and expansion with a loitering phase, all of which are induced by early variations in alpha.

Invited paper for the Special Issue: "Fundamental Constants in Physics and Their Time Variation" (Modern Physics Letters A, Guest Editor Joan Solà)

References in corpus (7)

• The Confrontation between General Relativity and Experiment
• New Limits on Coupling of Fundamental Constants to Gravity Using ${}^{87}$Sr Optical Lattice Clocks
• Robust Constraint on a Drifting Proton-to-Electron Mass Ratio at z=0.89 from Methanol Observation at Three Radio Telescopes
• Limits on a Gravitational Field Dependence of the Proton--Electron Mass Ratio from H${}_2$ in White Dwarf Stars
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• Time variation of the electron mass in the early universe and the Barrow-Magueijo model
• Redshifting of cosmological black bodies in BSBM varying-alpha theories

Cited by in corpus (7)

• Exacerbating the cosmological constant problem with interacting dark energy
• Fundamental constants and cosmic vacuum: the micro and macro connection
• Is there a connection between "dark" and "light" physics?
• Cosmic Acceleration from Varying Masses in Five Dimensions
• Varying constants driven baryogenesis
• Magnetic contributions in Bekenstein type models
• Impact of inhomogeneities on slowly rolling Quintessence: implications for the local variations of the fine-structure constant