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Making the Case for Conformal Gravity · Around

2011

Making the Case for Conformal Gravity

Mannheim, Philip D.

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We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity.

As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity being obtained because the theory is a $PT$ symmetric rather than a Hermitian theory.
We show that in the theory there can be no a priori classical curvature, with all curvature having to result from quantization.
In the conformal theory gravity requires no independent quantization of its own, with it being quantized solely by virtue of its being coupled to a quantized matter source.

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