Renormalizing Spacetime

D. N. Coumbe

doi:10.1142/s0218271819500081

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arXiv · 1804.09025

Renormalizing Spacetime

D. N. Coumbe

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Abstract

We propose that the consistent field renormalization of gravity requires a specific Weyl transformation of the metric tensor. As a consequence, proper length and time, as well as energy and momentum, become functions of scale. We estimate the functional form of the field renormalization factor by imposing a minimum resolvable distance scale under an infinitesimal Weyl transformation. The derived transformation is applied to two key problems in quantum gravity, its non-conformal scaling, and non-renormalizability.

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D. N. Coumbe. 2018-04-20. Renormalizing Spacetime. https://doi.org/10.1142/s0218271819500081

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