The problems of quantum gravity

Mathematics – Logic

Scientific paper

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Scientific paper

The effect of unitary inequivalence of different versions of the formalism of quantum gravity, according to the arbitrary choice of coordinate conditions, does not mean a violation of general covariance but a furcation of a single classical theory into several inequivalent, but also generally covariant quantum theories. We choose a version closely analogous to the theory of Proca, with a strong supplementary condition, leading to a quantum gravity with a cosmological term. However, it is only the bare but not necessarily the dressed cosmological term that has to be different from zero. Ordinary theory without the cosmological term may be obtained by renormalization.

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