Gauge theories, geometry, and cosmology

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Abstract
The early universe is assumed to have evolved from a state which is symmetric under Weyl scale transformations, as well as parity inversions and time reversal. To assure the discrete symmetries, Weyl’s original scale-invariant model must be extended to the full conformal group. If the conformal-group symmetry is spontaneously broken by the freezing out of a vacuum expectation value for the gravitational field, then there is a gauge in which the cosmological action is a Brans-Dicke action. When one takes the universal energy density to be largely due to the scalar field, one finds that the gravitational coupling strength has weakened from an initial strength comparable to that of the other fundamental interactions.

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