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Proof of a Quantum Bousso Bound

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arxiv 1404.5635 v2 pith:NCF5Y22A submitted 2014-04-22 hep-th gr-qc

Raphael Bousso , Horacio Casini , Zachary Fisher , Juan Maldacena This is my paper · ORCID
classification hep-thgr-qc
keywords boundareadeltaentropylight-sheetsnullproofapplies
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abstract

We prove the generalized Covariant Entropy Bound, $\Delta S\leq (A-A')/4G\hbar$, for light-sheets with initial area $A$ and final area $A'$. The entropy $\Delta S$ is defined as a difference of von Neumann entropies of an arbitrary state and the vacuum, with both states restricted to the light-sheet under consideration. The proof applies to free fields, in the limit where gravitational backreaction is small. We do not assume the null energy condition. In regions where it is violated, we find that the bound is protected by the defining property of light-sheets: that their null generators are nowhere expanding.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Uniqueness of null-local modular flow

    hep-th 2026-07 conditional novelty 7.0 of 10

    For the free massless scalar in a Minkowski causal diamond, the vacuum is the unique state or weight in the vacuum sector whose modular flow is local on the null boundary.

  2. Unveiling horizons in quantum critical collapse

    gr-qc 2025-09 unverdicted novelty 7.0 of 10

    Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.

  3. Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory

    hep-th 2025-10 unverdicted novelty 6.0 of 10

    Derives new state-independent lower bounds on semi-local integrals of null energy flux in QFTs of two and higher dimensions using QNEC, strong subadditivity, and modular Hamiltonians.

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