Does gravity render probability quasilocal?

We propose that probability in quantum theory, like energy in general relativity, acquires a fundamentally quasilocal character in curved spacetime. Interpreting Hermiticity as the symmetry associated with inner-product conservation, we show that gravitational boundaries and horizons convert global probability conservation into a flux balance law. The resulting quasilocal probability naturally induces effective non-Hermiticity for restricted observers while preserving global unitarity. We demonstrate this explicitly in Schwarzschild, Kerr and FLRW spacetimes and after this, we identify observational imprints in black hole ringdowns. Our results suggest that in quantum field theory on curved backgrounds, probability conservation is as geometrically conditioned as energy itself.

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Publication Details

Journal
Physics of the Dark Universe
Published
2026-04-03
DOI
https://doi.org/10.1016/j.dark.2026.102303
Primary Topic
Constraint Satisfaction and Optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

Does gravity render probability quasilocal?

Oem Trivedi
Physics of the Dark Universe
Constraint Satisfaction and Optimization
article

Does gravity render probability quasilocal?

Oem Trivedi
article en

Abstract

We propose that probability in quantum theory, like energy in general relativity, acquires a fundamentally quasilocal character in curved spacetime. Interpreting Hermiticity as the symmetry associated with inner-product conservation, we show that gravitational boundaries and horizons convert global probability conservation into a flux balance law. The resulting quasilocal probability naturally induces effective non-Hermiticity for restricted observers while preserving global unitarity. We demonstrate this explicitly in Schwarzschild, Kerr and FLRW spacetimes and after this, we identify observational imprints in black hole ringdowns. Our results suggest that in quantum field theory on curved backgrounds, probability conservation is as geometrically conditioned as energy itself.

Physics of the Dark UniverseVol. 52
Vanderbilt University (US)
Vanderbilt University
Openalex Percentile: Top 21%
Constraint Satisfaction and Optimization
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