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Violation of Unitarity in Gravitational Subregions

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arxiv 2104.03253 v1 pith:JL545UZC submitted 2021-04-07 gr-qc hep-th

classification gr-qchep-th
keywords gravitationalnegativequantumstatesadmitanalogyarguebecause
verification ladder T0 review T1 audit T2 compute T3 formal
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This essay contends that in quantum gravity, some spatial regions do not admit a unitary Hilbert space. Because the gravitational path integral spontaneously breaks CPT symmetry, "states" with negative probability can be identified on either side of trapped surfaces. I argue that these negative norm states are tolerable, by analogy to quantum mechanics. This viewpoint suggests a resolution of the firewall paradox, similar to black hole complementarity. Implications for cosmology are briefly discussed.

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