Violation of unitarity in gravitational subregions
Abstract
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 29, 2021
- Source ID
- 10.1142/s0218271821420141
Entities
People
- Aron C. Wall
Organizations
- Air Force Office of Scientific Research
- University of Cambridge