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  1. PT Symmetry, Conformal Symmetry, and the Metrication of Electromagnetism.Philip D. Mannheim - 2017 - Foundations of Physics 47 (9):1229-1257.
    We present some interesting connections between PT symmetry and conformal symmetry. We use them to develop a metricated theory of electromagnetism in which the electromagnetic field is present in the geometric connection. However, unlike Weyl who first advanced this possibility, we do not take the connection to be real but to instead be PT symmetric, with it being \ rather than \ itself that then appears in the connection. With this modification the standard minimal coupling of electromagnetism to fermions is (...)
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  • Making the Case for Conformal Gravity.Philip D. Mannheim - 2012 - Foundations of Physics 42 (3):388-420.
    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 (...)
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