A quantum long time energy red shift: a contribution to varying $\alpha$ theories

Abstract

By analyzing the survival probability amplitude of an unstable state we show that the energy corrections to this state in the long ($t\to \infty$) and relatively short (lifetime of the state) time regions, are different. It is shown that in the considered model the above corrections decrease to zero as $t\to \infty$. It is hypothesized that this property could be detected by analyzing the spectra of distant astrophysical objects. The above property of unstable states may influence the measured values of possible deviations of the fine structure constant $\alpha$ as well as other astrophysical and cosmological parameters.

arXiv commentLaTeX2e, 16 pages, new comments added

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• The evolution of the FRW universe with decaying metastable dark energy --- a dynamical system analysis
• Cosmological models with running cosmological term and decaying dark matter
• The true quantum face of the "exponential" decay law
• Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons
• A universe born in a metastable false vacuum state needs not die
• From quantum unstable systems to the decaying dark energy: Cosmological implications
• Cosmological "constant" in a universe born in the metastable false vacuum state