# Failure of the split property in gravity and the information paradox

@article{Raju2022FailureOT, title={Failure of the split property in gravity and the information paradox}, author={S. Raju}, journal={Classical and Quantum Gravity}, year={2022}, volume={39} }

In an ordinary quantum field theory, the ‘split property’ implies that the state of the system can be specified independently on a bounded subregion of a Cauchy slice and its complement. This property does not hold for theories of gravity, where observables near the boundary of the Cauchy slice uniquely fix the state on the entire slice. The original formulation of the information paradox explicitly assumed the split property and we follow this assumption to isolate the precise error in Hawking…

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## References

SHOWING 1-10 OF 92 REFERENCES

The Holographic Nature of Null Infinity

- Mathematics
- 2020

We argue that, in a theory of quantum gravity in a four dimensional asymptotically flat spacetime, all information about massless excitations can be obtained from an infinitesimal neighbourhood of…

Breakdown of Predictability in Gravitational Collapse

- Physics
- 1976

The principle of equivalence, which says that gravity couples to the energy-momentum tensor of matter, and the quantum-mechanical requirement that energy should be positive imply that gravity is…

The Information paradox: A Pedagogical introduction

- Physics
- 2009

The black hole information paradox is a very poorly understood problem. It is often believed that Hawking's argument is not precisely formulated, and a more careful accounting of naturally occurring…

Information Transfer with a Gravitating Bath

- Physics
- 2020

Late-time dominance of entanglement islands plays a critical role in addressing the information paradox for black holes in AdS coupled to an asymptotic non-gravitational bath. A natural question is…

Anti-de Sitter space and holography

- Physics
- 1998

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of…

Geometric phases distinguish entangled states in wormhole quantum mechanics

- PhysicsPhysical Review D
- 2022

We establish a relation between entanglement in simple quantum mechanical qubit systems and in wormhole physics as considered in the context of the AdS/CFT correspondence. We show that in both cases,…

Holography from the Wheeler-DeWitt equation

- PhysicsJournal of High Energy Physics
- 2022

Abstract
In a theory of quantum gravity, states can be represented as wavefunctionals that assign an amplitude to a given configuration of matter fields and the metric on a spatial slice. These…

Monogamy paradox: A toy model in flat space

- Physics
- 2021

In this work, we investigate a toy model in empty flat space which captures essential features of the monogamy paradox for flat space black holes within a clean calculational framework. We formulate…