nLab black hole information paradox

Redirected from "Mordell Conjecture".
Contents

Contents

Idea

(…)

References

General

See also:

Critical discussion of the assumptions entering the statement of the paradox:

  • Robert B. Mann, Sebastian Murk, Daniel R. Terno: Paradoxes before the paradox: surface gravity and the information loss problem [arXiv:2109.13939]

Entanglement island proposal for BH information paradox

Claims

Claim that the proper application of holographic entanglement entropy to the discussion of Bekenstein-Hawking entropy resolves the apparent black hole information paradox:

Review aimed at readers with minimal background:

See also:

Criticism

  • Anna Karlsson, Concerns about the replica wormhole derivation of the island conjecture (arXiv:2101.05879)

  • Harvendra Singh, Islands and Icebergs contribute nothing to the Page curve (System with a symmetrical bath) [arXiv:2210.13970]

Argument that the would-be proof of the island conjecture secretly works only for massive gravity:

reviewed in:

  • Hao Geng, Recent Progress in Quantum Gravity: Karch-Randall Braneworld, Entanglement Islands and Graviton Mass, Washington (2022) [hdl:1773/49427]

and discussion of what to do about this problem:

Claim that the whole argument relies on the false assumption that the split property holds for quantum gravity:

Review in:

  • Nirmalya Kajuri, Of Islands, Holograms and Saving Quantum Physics From a Black Hole Paradox, Science – The Wire (Nov 2022)

    [][\ldots] a few sceptics have argued that while the calculations are correct, they don’t help resolve the black hole information-loss paradox. The troubles stem from the reservoir attached to the anti-de Sitter universe. The physicists who authored the island papers assumed that gravity stopped at the boundary of the anti-de Sitter space and didn’t enter the reservoir. This is not an innocuous assumption. [][\ldots] The key takeaway is that the island way to recover information and save unitarity works perfectly well – if you slightly modify Einstein’s theory of gravity. These criticisms have been around for some two years now, and physicists are yet to resolve them in print. [][\ldots] physicists continue to publish papers by the hundreds about the entanglement islands but few attempt to answer whether the islands are compatible with the Einsteinian gravity of our universe. [][\ldots]

See also:

  • Saskia Demulder, Alessandra Gnecchi, Ioannis Lavdas, Dieter Lüst, Islands and Light Gravitons in type IIB String Theory [arXiv:2204.03669]

  • Emil Martinec: “Thus far, picturesque evocations of quantum wormholes remain largely just that – picturesque evocations.” (2nd Nov 2022)

Argument that discussion of the issue in the toy example of 2d JT gravity does not actually generalize to higher dimensions:

  • Filip Landgren, Arvind Shekar, Islands and entanglement entropy in dd-dimensional curved backgrounds [arXiv:2401.01653]

Debate between a proponent and a critic :

See also:

Last revised on August 20, 2024 at 06:15:26. See the history of this page for a list of all contributions to it.