Changing coupling ``constants'' and violation of the equivalence principle

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Field Theories In Dimensions Other Than Four, Particle-Theory And Field-Theory Models Of The Early Universe

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It is shown that a cosmological evolution of coupling ``constants'' due to a change in some dilaton field (such as the size of the extra dimensions in Kaluza-Klein theories or superstring theories), if observably large, would imply a long-range force of gravitational strength that would violate the equivalence principle. Our analysis is in the context of superstring theories but should be more general. We also clarify various obscurities and correct mistakes in the recent literature.

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