Variation of the fine-structure constant in QSO spectra from coherent dark matter oscillations

Abstract

We consider the problem of the evolution of the fine‐structure coefficient α under the assumption that the scalar field coupling to the Maxwell term satisfies the condition mt≫ 1 for coherent dark matter oscillations. In this case we find that the coupling scale f in the leading‐order coupling −(φ/4f) FμνFμν affects the cosmological evolution of α according to ln(α/α0) ∝ξ(mPl/f) × ln [tanh(t/2τ)/tanh(t0/2τ)]. A fit to the QSO observations by Murphy et al. yields f=ξ× 2.12+0.58−0.37× 105mPl. Here mPl= (8πGN)−1/2 is the reduced Planck mass, and ξ2=ϱφ/ϱm parametrizes the contribution of φ to the matter density in the Universe.

Corrections to the fine structure constant in D-dimensional space from the generalized uncertainty principle

“…Varying fine structure constant has been studied in many papers, for example see [3,4,5,6,7,8,9,10]. The authors of [11] derived the formulae for the time variation of the gravitational constant G and of the fine structure constant α in various models with extra dimensions and analyzed their consistency with the available observational data for distant supernovae, see also [12].…”