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An asymptotic decrease of (m_p/m_e) with cosmological time, from a decreasing, small effective vacuum expectation value moving from a potential maximum in the early universe

Saul Barshay·Georg Kreyerhoff
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Abstract

The empirical, possible small variation downward by about 10^-5, of the ratio of the proton mass to the electron mass, over a characteristic time interval estimated here to be about a billion years, is related to the decrease with time of a small, effective vacuum expectation value for a Goldstone-like pseudoscalar field which is present in the early universe, and is related to the scalar inflaton field. The same vacuum expectation value controls the magnitude of a very small, residual vacuum energy density today, which has also slowly decreased. The present time variation is estimated to be near to a definite limit, that is asymptotically approached as t->oo.

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Saul Barshay, Georg Kreyerhoff. 2006-09-21. An asymptotic decrease of (m_p/m_e) with cosmological time, from a decreasing, small effective vacuum expectation value moving from a potential maximum in the early universe. https://arxiv.org/abs/astro-ph/0606230

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