How Not to Establish the Non-renormalizability of Gravity |
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Authors: | " target="_blank">Juliusz Doboszewski Niels Linnemann |
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Institution: | 1.Department of Philosophy,Jagiellonian University,Kraków,Poland;2.Department of Philosophy,University of Geneva,Genève 4,Switzerland |
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Abstract: | General relativity cannot be formulated as a perturbatively renormalizable quantum field theory. An argument relying on the validity of the Bekenstein–Hawking entropy formula aims at dismissing gravity as non-renormalizable per se, against hopes (underlying programs such as Asymptotic Safety) that d-dimensional GR could turn out to have a non-perturbatively renormalizable d–dimensional quantum field theoretic formulation. In this note we discuss various forms of highly problematic semi-classical extrapolations assumed by both sides of the debate concerning what we call The Entropy Argument, and show that a large class of dimensional reduction scenarios leads to the blow-up of Bekenstein–Hawking entropy. |
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