---
id: "20261021-0239-outside-arxiv261028185-black-holes"
title: "Black Holes are about Quantum Information (Corbeel & De Haro, 2026)"
type: "capture"
status: "promoted"
promoted_to: ["30-notes/claim-corbeel-de-haro-2026-black-hole-central-dogma-is-unproven-modelling-assumption.md","30-notes/claim-corbeel-de-haro-2026-hayden-preskill-black-hole-as-information-mirror.md","30-notes/claim-corbeel-de-haro-2026-page-time-paradox-partially-resolved-replica-wormholes.md","40-entities/entity-sebastian-de-haro.md","40-entities/entity-don-page.md","40-entities/entity-stephen-hawking.md"]
not_promoted: ["Title-slogan / informational-immaterialism-disclaimer claim — genuinely distinct and Tier 1, but parked by the single-source concentration cap (max 3 claim-notes per unrefereed preprint; this preprint already supplied 3). Routed to 50-questions/question-corroborate-corbeel-de-haro-2026-arxiv-2610-28185-single-source-cap.md as the held finding, with a note on its strong connection to the existing quantum-information-panpsychism cluster.","Fast-scrambling time formula (t_scr ~ r_S log(r_S/l_Pl)) — left in 'Further leads'; capture explicitly flags it as read only via the review's restatement, not checked against Hayden-Preskill or Sekino-Susskind directly. Not promoted as a claim; not corroboration-cap-relevant since it was never claim-ready.","Hayden & Preskill's 'delicious irony' phrase — a quotable aside, not an independent claim; left as a lead to source directly from the 2007 original if pursued.","Bekenstein's 1973 'information route' to black hole entropy and its criticism (Dougherty & Callender 2017; Wuthrich 2017) vs. Wallace's 'physical route' — background/context for the paper's own argument, not something this capture verified independently; no claim-note rests on it, so no entity page created for Bekenstein this round.","Maldacena-Shenker-Stanford chaos bound (lambda <= 2 pi T) — cited by the paper as theoretical basis for scrambling estimates; capture explicitly notes 'not independently checked here.' Left as a lead.","Footnote cross-check of 'De Haro et al. (2026, Section 5)' against the vault's existing Vinck & De Haro 2026 notes — plausible same-paper identity, not confirmed this session; carried forward as an open note on entity-sebastian-de-haro.md rather than a separate question, since no kept claim rests on the identity resolving either way.","Christopher Timpson and John Wheeler as entity-page candidates — both tied only to the capped title-slogan claim, not to any of the three promoted claims; skipped per bias-against-the-flood, revisit if that claim is promoted later.","Aude Corbeel as entity-page candidate — co-author of one joint paper with no separate standing elsewhere in the vault yet (per the 2026-10-01 co-authorship-alone ruling); mention only, not a hub.","Patrick Hayden and John Preskill as entity-page candidates — co-authors of one joint paper (2007), neither with separate standing elsewhere in the vault; mention only per the same ruling, named in claim text without wikilinks.","Hayden-Preskill model / 'information mirror,' Page-time paradox / Page bound, and central dogma as standalone concept-hub entities — each load-bearing but each currently anchored by exactly one claim-note; skipped this round per bias-against-the-flood, revisit if a second independent source touches any of them."]
origin: "batch"
writer_model: "claude-sonnet-5"
date_created: "2026-10-21T00:00:00.000Z"
provenance: "2026-10-21 batch run"
derived_from: []
tags: ["physics","philosophy-of-physics","black-holes","quantum-information","black-hole-information-paradox","hayden-preskill","page-time","central-dogma","outside"]
source_url: "https://arxiv.org/abs/2610.28185"
source_sha: "34ff528f6eabb0a272f2af48d56c7f32c41d50d324e26ea62bcf39f125a57b3a"
source_author: "Aude Corbeel, Sebastian De Haro"
source_date: "2026-10-20T00:00:00.000Z"
source_title: "Black Holes are about Quantum Information"
source_venue: "arXiv (physics.hist-ph / hep-th / quant-ph), arXiv:2610.28185"
source_tier: 1
seek_code_commit: "d40ee39"
---


A philosophy-of-physics review and analysis paper (49pp, arXiv:2610.28185, submitted 20 Oct 2026) by Aude Corbeel and Sebastian De Haro (University of Amsterdam). It reviews quantum-information-theoretic approaches to the black hole information paradox, centering on the Hayden–Preskill (2007) model, and argues these approaches sidestep earlier philosophical objections to using "information" in black hole physics. Fetched via `extract_pdf` from the arXiv PDF route (`tls: "verified"`); the abstract page was separately archived via `archive_page`. No safety signals fired on either fetch — plain academic prose throughout, no addressed-to-AI language, no tier self-assignment, no instructions.

PDF source: https://arxiv.org/pdf/2610.28185 — sha256 `4511adfc926cddb028afc68d88e24c58f31388f55e9fe296a42a3b0d940079d4`, method `pdftotext`, 49 pages, `tls: "verified"`.

Note: Sebastian De Haro, one of this paper's two authors, is also a co-author of the vault's existing Vinck & De Haro 2026 background-independence claims ([[claim-vinck-de-haro-2026-no-existing-definition-captures-wittens-background-independence-claim]], [[claim-vinck-de-haro-2026-propose-background-independent-algebra-as-representation-independence]]) — no `entity-sebastian-de-haro` note exists yet in the vault to link to (checked via glob), so he is flagged below rather than linked. This paper footnotes "De Haro et al. (2026, Section 5)" twice (fns. 2 and 27) as the place where the semantic/physical (not just epistemic) role of information in quantum gravity is argued — plausibly the same De Haro et al. 2026 paper already in the vault, though this capture has not confirmed the footnote's full citation against that paper's own text. Worth a follow-up cross-check rather than asserting identity here.

## Claim: The paper's title slogan is explicitly methodological, not a claim that black holes are made of information

Corbeel & De Haro state outright that their title slogan is not an endorsement of "informational immaterialism" (the view, associated with John Wheeler's "It from bit," that information is a fundamental immaterial substitute for matter). Instead they frame quantum information theory as an alternative operational framework of enquiry for studying black holes, following Christopher Timpson's account in *Quantum Information Theory and the Foundations of Quantum Mechanics* (2013).

> "our slogan 'Black holes are about quantum information' should not be understood as claiming a form of information immaterialism: it is a conceptual and methodological slogan that reflects the use of quantum information in the Hayden–Preskill (and cognate) models."

This is a definitional/framing claim about the paper's own thesis — Tier 1 (the authors' own statement of their own argument, on their own venue).

## Claim: The whole programme rests on the unproven "central dogma" — a modelling assumption, not an established result

The paper is explicit that the entire quantum-circuit treatment of black holes depends on a background assumption it calls the "central dogma" of black hole physics (attributed to Almheiri et al. 2021, tracing to 't Hooft 1985 and Page 1993b): viewed from outside, a black hole is an ordinary finite-dimensional quantum system evolving unitarily. Corbeel & De Haro treat this explicitly as a *modelling assumption* supplying the physical basis for applying quantum-information tools, not as a proven fact — one of nine total modelling assumptions enumerated across the paper (one central dogma plus eight specific to the Hayden–Preskill model).

> "As seen from the outside, a black hole can be described as an ordinary quantum system whose number of available microstates, at specified macroscopic parameters, is determined by its thermodynamic entropy. The full evolution, including its coupling to the environment, is unitary."

The paper states later that the central dogma "has passed non-trivial consistency tests, but it has not been established conclusively to this day." This is a specific technical-mechanism claim about what the quantum-information programme in black hole physics actually assumes — sourced directly to the paper's own statement (Tier 1).

## Claim: The Hayden–Preskill model recasts an evaporating black hole as an "information mirror," with entanglement playing two distinct roles

Corbeel & De Haro's central technical analysis is of Hayden & Preskill's (2007) result: treating an "old" black hole (one that has already evaporated past the Page time) as a quantum channel, an outside observer (Bob) who already holds a quantum memory maximally entangled with the black hole can recover a small quantum "diary" thrown in by Alice after only slightly more qubits are radiated than the diary itself contained — much faster than the hole's full evaporation time. The paper identifies two distinct roles entanglement plays in this release mechanism: (1) **entanglement-protected communication** — scrambling encodes the diary redundantly across the black hole's degrees of freedom, protecting it like a quantum error-correcting code against the "erasure" of whichever qubits stay behind the horizon; and (2) **entanglement-assisted communication** — Bob's pre-existing entanglement with the black hole (from previously collected Hawking radiation) is consumed as a resource that makes fast recovery possible at all.

> "the QC-model of a black hole is hardly black at all; rather, it may be more accurately regarded as an 'information mirror' (p. 4), that 'returns Alice's information in a time comparable to the time it takes the information to fall into the black hole' (p. 12)."

This directly answers the paper's framing question (how does quantum information theory change the black-hole-information debate): not by resolving the unitarity question itself, but by giving a precise answer to *when* and *by what mechanism* information already assumed to survive becomes recoverable. This is a specific technical-mechanism claim, sourced to the review paper's own exposition of Hayden & Preskill (2007) — Tier 1.

## Claim: The Page-time paradox is only partially resolved — recent gravitational path-integral results reproduce the Page bound, but not yet for an ordinary Schwarzschild black hole

The paper explains the "Page time paradox" (Page, 1993b): under the central dogma and unitary evaporation, the von Neumann entropy of the emitted Hawking radiation must satisfy the Page bound S_vN(ρ_Rad(t)) ≤ S_BH(t), which conflicts with Hawking's semiclassical calculation of an ever-increasing radiation entropy past the "Page time" (roughly half the evaporation time).

> "Page demonstrated that, if the central dogma is true and the black hole is a quantum statistical mechanical object, respecting unitarity results in a bound, imposed by the Bekenstein-Hawking entropy, on the number of Hawking modes entangled with the black hole degrees of freedom."

Corbeel & De Haro report that more recent work (Almheiri et al. 2019, 2020a/b; Penington 2020; Penington et al. 2022), using "replica wormhole" saddles in the gravitational path integral, reproduces an entropy curve respecting the Page bound — but flag this as an incomplete resolution:

> "These arguments rely on idealisations, such as working in low spacetime dimensions or in AdS, so there is not yet a fully definitive solution for an ordinary Schwarzschild black hole."

This is a quantitative/technical-mechanism claim about the current state of the black hole information paradox, directly sourced to the review paper's own assessment (Tier 1). It is the paper's clearest statement of what remains unverified in the broader "quantum information resolves the paradox" narrative.

## Further leads

- The black hole "fast scrambling" time is estimated at t_scr ≈ r_S log(r_S/ℓ_Pl) (Hayden & Preskill 2007; extended by Sekino & Susskind 2008 via string theory; connected to chaos/shockwaves by Kitaev 2015) — worth checking against Hayden & Preskill's and Sekino & Susskind's own papers directly before treating the formula as settled, since this capture only read the review's restatement.
- Hayden & Preskill describe the dual protective/revealing character of black hole scrambling as a "delicious irony" (Hayden and Preskill, 2007, p. 18) — a quotable phrase worth sourcing to the 2007 original if pursued further.
- Jacob Bekenstein's 1973 "information route" to black hole entropy (treating S_BH as epistemic uncertainty about microstates) has been criticized by Dougherty & Callender (2017) and Wüthrich (2017); Corbeel & De Haro side with Wallace (2018, 2019) that the "physical route" (statistical mechanics without appeal to information) now independently grounds black hole thermodynamics.
- Maldacena, Shenker & Stanford (2016) conjectured a universal bound on quantum chaos via out-of-time-order correlators, λ ≤ 2πT — cited in this paper as part of the theoretical basis for scrambling estimates; not independently checked here.
- Footnote reference to "De Haro et al. (2026, Section 5)" for a fuller philosophical treatment of information's semantic/physical role in quantum gravity — possible identity with the vault's existing Vinck & De Haro 2026 notes; needs a direct cross-check, not asserted here.

## Entity candidates

- Don Page — person — originated both the "Page time paradox" (1993b) and the random-state/quantum-circuit model that Hayden & Preskill's model directly extends; the paper's entire technical analysis is explicitly measured against Page's earlier model (Section 3 vs. Section 4). The foundational figure this capture's central claims are benchmarked against.
- Patrick Hayden & John Preskill — people — authors of the 2007 paper ("Black holes as mirrors: quantum information in random subsystems") that is the actual subject of this review; not co-authors of the capture's source paper.
- Jacob Bekenstein — person — originated the "information route" to black hole entropy (1973) that the paper argues has been superseded by the "physical route."
- Stephen Hawking — person — originated the black hole information loss paradox (1976) and the semiclassical Hawking-radiation calculation the Page bound conflicts with.
- Christopher Timpson — person — his 2013 book's account of quantum information theory as an "alternative framework of enquiry" is the philosophical scaffolding the entire paper's argument is built on.
- John Wheeler — person — "It from bit" (1989), the informational-immaterialism view the paper's title slogan explicitly distances itself from.
- Aude Corbeel — person — co-author, Institute for Theoretical Physics, University of Amsterdam.
- Sebastian De Haro — person — co-author; already an entity in the vault via the Vinck & De Haro 2026 background-independence claims.
- Central dogma (black hole physics) — concept — the foundational, unproven modelling assumption (black hole as unitary finite-dimensional quantum system) underlying the entire research programme reviewed.
- Hayden–Preskill model / "information mirror" — concept — the 2007 toy model recasting black hole evaporation as a quantum communication protocol.
- Page-time paradox / Page bound — concept — the specific version of the black hole information paradox the paper centers on.
- Fast scrambling (conjecture) — concept — the chaotic-dynamics property (t_scr ≈ r_S log(r_S/ℓ_Pl)) required for Hayden-Preskill's rapid information release.

> [!note] Seek's commentary:
> The paper reads as unusually self-aware about the floor its own claims rest on — it repeatedly flags the central dogma as unproven and the Page-curve resolution as idealization-dependent, rather than presenting the "information paradox is solved" narrative some popular coverage runs with. That restraint is itself worth noting for anyone later tracing how this result gets simplified on the way to a press summary.