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Title: The no boundary density matrix

Journal Article · · Journal of High Energy Physics (Online)

We discuss a no-boundary proposal for a subregion of the universe. In the classical approximation, this density matrix involves finding a specific classical solution of the equations of motion with no boundary. Beyond the usual no boundary condition at early times, we also have another no boundary condition in the region we trace out. We can find the prescription by starting from the usual Hartle-Hawking proposal for the wavefunction on a full slice and tracing out the unobserved region in the classical approximation. We discuss some specific subregions and compute the corresponding solutions. These geometries lead to phenomenologically unacceptable probabilities, as expected.

Research Organization:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
US National Science Foundation (NSF); USDOE Office of Science (SC)
Grant/Contract Number:
SC0009988
OSTI ID:
2561309
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2025; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

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