Time variation of the fundamental 'constants' and Kaluza-Klein theories

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Constants, Cosmology, Time Dependence, Unified Field Theory, Gravitation Theory, Quantum Chromodynamics

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Reference is made to the studies by Kaluza (1921), Klein (1926), and Witten (1981), which indicate that generalized Kaluza-Klein (KK) models offer the attractive possibility of unifying gravity with the other fundamental forces. The underlying idea is to enlarge space-time to 4 + N dimensions in such a way that the N extra spatial dimensions form a very small compact manifold with a mean radius of R sub KK. It is suggested here that the mean KK radius of the extra dimensions might contract, expand, or even oscillate as a function of time. If the time derivative of this radius is not zero, it could give rise to observable time variations in the fundamental 'constants' of our four-dimensional world and thereby provide a window to the extra dimensions. The proposal here derives from the astrophysical observation that the ordinary three spatial dimensions are expanding and from the work of Chodos and Detweiler (1980) and Freund (1982), which showed that incorporating such an expansion in KK cosmologies quite naturally leads to the condition that the time derivative of R sub KK is not zero.

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