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

Details A quantum long time energy red shift: a contribution to varying $α$ theories A quantum long time energy red shift: a contribution to varying $α$ theories

2006-10-28

arxiv.org/abs/hep-ph/0610384v3

Eur.Phys.J.C58:151-157,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX2e, 16 pages, new comments added

Scientific paper

10.1140/epjc/s10052-008-0725-0

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.

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