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REVIEW 3 major objections 3 minor 4 cited by

The Case For Black Hole Remnants: A Review

T0 review · 3 major / 3 minor · reviewed 2026-08-12 · deepseek-v4-flash

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Pith's one-line read The review argues that black hole remnants are not ruled out and remain a viable way to resolve the information paradox, provided the horizon-area entropy is not the whole information content of a black hole.

desk verdict A candid, readable review of remnant scenarios; the conclusion overstates its case, and the cited singularity theorem remains an undischarged objection. read the letter →

arxiv 2412.00322 v2 pith:GP2VGLY7 submitted 2024-11-30 gr-qc

Yen Chin Ong This is my paper · ORCID
classification gr-qc MSC 83C5783C7581T20 PACS 04.70.Dy04.60.-m
keywords blackholeremnantsinformationparadoxHawkingevaporationcentraldogmaBekenstein-Hawkingentropygeneralizeduncertaintyprinciplespeciesproblemprimordialdarkmatter
open problems Quantum Gravity
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This review argues that black hole evaporation need not end in complete disappearance: a stable or long-lived remnant is a live possibility, and none of the standard objections rule it out. If true, this matters because it offers a way out of the information paradox without requiring Hawking radiation to carry information: the infalling information waits inside a large interior and is later released slowly. The review's case rests on showing that the two traditional objections, the species problem and the entropy problem, depend on treating a remnant as an ordinary tiny particle, whereas the interior of a black hole is known to be enormous and to keep growing. The load-bearing assumption, admitted in the text, is that the horizon-area entropy bound is not the whole story about a black hole's information content. A sympathetic reader would take away that remnant scenarios remain a credible physical possibility rather than a proven fact.

What carries the argument

The central object is the black hole interior volume, measured by a coordinate-independent construction that grows linearly with advanced time, roughly $\mathrm{Vol}\sim 3\sqrt{3}\pi M^2 v$ for a Schwarzschild black hole; this makes a remnant “not small” inside despite its Planckian exterior mass. Around that volume the argument turns on the status of the central dogma, the claim that a black hole is a quantum system with $e^{A/4}$ degrees of freedom, and on the distinction between strong-form and weak-form interpretations of the Bekenstein-Hawking entropy. The weak form lets interior states exceed the surface entropy, and the large interior supplies room for long-wavelength soft modes to carry the missing information. This machinery is what dissolves the species and entropy problems in the review.

What would settle it

A concrete falsifier: compute the von Neumann entropy of the full interior state of an evaporating black hole in a candidate quantum gravity theory; if it never exceeds $A/4$ at any stage, the central dogma holds exactly and a Planck-mass remnant cannot hold the missing information, so the remnant resolution of the information paradox is falsified. Observationally, targeted searches for the predicted diffuse long-delayed emission from old remnants, or for the gravitational-wave background from a specific remnant mass window, would test specific remnant models.

Watch

Extended reading notes

Core claim

The review's central claim is that no argument against remnants holds up under scrutiny, so remnants can avoid the information paradox. It surveys routes to remnants: zero-temperature extremal and regular black holes, generalized uncertainty principle modifications that produce a minimum mass, scrambling-time effects that stop evaporation while the black hole is still macroscopic, memory burden stabilization, and quantum transitions from black-hole to white-hole states. Against the traditional objections, it argues that the species problem is not fatal because the number of internal states may be finite and pair-production estimates ignore the remnant's vast interior structure, and that the entropy problem fails if the Bekenstein-Hawking entropy $S=A/4$ counts only surface states. In that weak-form interpretation, a Planck-mass remnant with a huge interior volume can store enormous information in soft, low-energy particles and release it through diffuse emission over a lifetime scaling as $M^4$, preserving unitarity.

Load-bearing premise

The case assumes the central dogma is false: a black hole's information content is not capped by $e^{A/4}$ surface states, so a tiny remnant with a huge interior can store all the information.

Editorial extensions

If this is right

  • If remnants are viable, the information paradox may be resolved without Hawking radiation carrying information, with unitarity restored by a slow eventual release of the stored information.
  • Black holes that stop evaporating after the scrambling time or after the memory burden sets in remain effectively classical and never reach the small, hot stage where the firewall paradox and Planck-scale worries dominate.
  • Primordial black holes could survive below the standard Hawking-evaporation lower bound of about $10^{17}$ grams and serve as dark matter candidates, with mass windows depending on the remnant model.
  • Remnant scenarios are testable: a remnant mass around $5\times 10^5$ grams would produce a cosmological gravitational-wave signal near 100 Hz, and the memory-burden model shifts the allowed primordial black hole mass window.
  • If a remnant carries more entropy than the Bekenstein-Hawking entropy, a singularity theorem implies its end state may still be singular or require quantum gravity, so remnants do not by themselves eliminate cosmic censorship concerns.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The paper leaves implicit that if the central dogma is false, the horizon area is not a fundamental information bound, so holographic entropy counting may be coarse-grained thermodynamic bookkeeping rather than an exhaustive state count.
  • The same large-interior mechanism suggests that even complete evaporation could pinch off the interior as a baby universe carrying information away, making remnants one member of a broader family of information-escape scenarios.
  • A testable extension would be to compare the late-time diffuse emission spectra of different remnant models: white-hole remnants emit after a lifetime of order $M^4$, whereas GUP-based remnants that stop evaporating at the scrambling time would show no such delayed burst.
  • The viability argument implies that searches for Planck-mass relics, delayed photon bursts, or gravitational-wave backgrounds from specific remnant mass windows could distinguish among remnant models even though the general question of whether remnants exist may remain open.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 3 minor

Summary. This review argues that black hole remnants remain a viable end state of Hawking evaporation. It surveys several formation mechanisms: extremal and regular black holes, GUP-modified thermodynamics, loop-quantum-gravity black-to-white hole tunneling, and dimensional-reduction scenarios. It then defends remnants against the two traditional objections, the species problem and the entropy problem, and argues that the information paradox can be resolved if the central dogma is false: the remnant's large interior volume stores information until late diffuse emission. The paper concludes that 'no argument against remnants holds up to close scrutiny' and discusses consequences for primordial black holes and dark matter.

Significance. If its central claim is correct, the review gives a useful entry point to a nontrivial literature and highlights that remnants remain a logically open option. The paper is honest in reporting uncertainties, especially about heuristic GUP derivations and about the need to assume the failure of the central dogma. It does not contain new derivations or machine-checked proofs, so the central conclusion is an assessment of open possibilities rather than a theorem. The review would be valuable to students if it resolves the tension with the singularity theorem cited in Sec. IV.

major comments (3)
  1. [Sec. IV (Discussion), paragraph beginning "In the remnant picture"] The paper cites Bousso and Shahbazi-Moghaddam [107] as proving that a remnant with more entropy than the Bekenstein-Hawking value A/4 leads to a version of a singularity theorem. However, the remnant-based resolution of the information paradox in Sec. III, together with the discussion around footnote 5, requires exactly that the interior store information far exceeding e^{A/4}. The text responds by saying the end state could be a singularity or something requiring quantum gravity, but it does not identify which hypothesis of the cited theorem fails in the remnant scenario. As written, the cited theorem is a direct objection to the object the paper defends, and the response is an acknowledgment of the objection rather than a refutation. Please address this tension explicitly.
  2. [Sec. II, Eqs. (5)-(7)] The paper states that the heuristic GUP derivation of the Hawking temperature 'cannot be sure of its validity', yet it then presents the logarithmic entropy correction in Eq. (7) as giving 'some confidence' in Eq. (5). Since Eq. (7) is obtained by integrating the first law using Eq. (5), it is not independent evidence for that temperature formula. The GUP route to remnants remains open, but the wording overstates the support it receives from the consistency of the logarithmic correction.
  3. [Sec. III, species-problem discussion] The rebuttal of the species problem is suggestive but not quantitative. The paper argues that the reverse process of remnant decay is unlikely, and that a newly formed mini black hole is not the same object as an old remnant, but it does not provide an estimate of the remnant production rate. Since the species problem is one of the two traditional objections the paper claims to refute, a more explicit statement of how the production cross-section is suppressed would be needed to support the strong conclusion that no argument against remnants holds up.
minor comments (3)
  1. [Abstract and Conclusion] The phrase 'no argument against remnants holds up to close scrutiny' is stronger than the body of the paper, which repeatedly emphasizes open possibilities and uncertainties. I suggest softening the conclusion to something like 'no existing argument known to me conclusively rules out remnants'.
  2. [Sec. II, page 3] The word 'confusticated' appears to be a typographical or stylistic error for 'confused'.
  3. [Sec. IV] The paper does not engage the recent Page-curve and island-rule program in detail; a brief remark on why those results do not by themselves settle the central-dogma question would help readers connect the review to the current high-energy literature.

Circularity Check

0 steps flagged · score 0.0 of 10

No circular derivation: the review's viability claim rests on external results and an explicitly disclosed assumption, not on self-referential forcing.

full rationale

This is a review paper rather than a derivation, so the main circularity patterns (fitted inputs renamed predictions, equations reducing to definitions) do not arise. The central claim that remnants remain viable is supported by external results: the large interior volume is sourced to Christodoulou and Rovelli [73], the white-hole remnant scenario to Rovelli and Vidotto [55] and the loop quantum gravity program [48-54], and the state-counting argument to Rovelli [76]. The paper's crucial assumption, that the central dogma fails and a Planck-mass remnant can store more than e^{A/4} states, is explicitly disclosed in footnote 5 as an assumption independent of the existence of remnants: 'one has to assume the failure of the central dogma independently of the existence of the remnant.' This transparency prevents the argument from being self-definitional. The author's self-citations, such as the prior review [1] and the volume-persistence paper [74], are supportive rather than load-bearing; the positive remnant case does not reduce to them. The acknowledged tension in Sec. IV, where [107] is cited to show that a remnant with more entropy than the Bekenstein-Hawking value implies a singularity theorem, is a genuine open objection, but the paper states it explicitly as a possibility rather than disguising it as a derived conclusion. This is a correctness risk, not circularity, and it does not make the argument equivalent to its inputs by construction.

Assumptions & free parameters 1 free parameters · 3 assumptions · 0 invented entities

The central claim rests on standard GR background, on the unproven failure of the central dogma, and on the GUP parameter α whose value is not independently determined in this review. The paper explicitly identifies the central dogma assumption as the heart of the debate. No new entities are introduced by the review.

free parameters (1)
  • GUP parameter α = order unity (taken from heuristic quantum gravity; not fitted in this review)
    Enter the GUP-modified Hawking temperature in Eq. (5) and the minimum remnant mass in Eq. (6). The review does not determine α from independent data and notes that many versions of GUP exist (ref [109]).
assumptions (3)
  • ad hoc to paper The central dogma is false: Bekenstein-Hawking entropy counts only surface states, and the interior can contain vastly more degrees of freedom.
    The review's claim that remnants can store the information and resolve the paradox depends on this. Footnote 5 states that one must assume the failure of the central dogma independently of the existence of the remnant.
  • domain assumption Hawking radiation is information-free even after Page time, so information can remain inside the remnant until late diffuse emission.
    Section IV assumes radiation need not carry information if the central dogma fails. This contradicts the modern Page curve and island picture, which the review does not engage with.
  • domain assumption The large interior volume formula for old black holes (Vol ~ 3 sqrt(3) pi M^2 v) persists to Planck-scale remnants and can store the required entropy.
    Section III uses the Christodoulou-Rovelli volume to argue remnants are not point particles. This is a classical GR result and its extrapolation to the Planck scale is an assumption.

how reviews work

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Cite this review

Pith. "Pith review of The Case For Black Hole Remnants: A Review." pith.science (2026). https://pith.science/paper/GP2VGLY7

@misc{pith2026241200322,
  author       = {Pith},
  title        = {Pith review of: The Case For Black Hole Remnants: A Review},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/GP2VGLY7}},
  note         = {Machine review of arXiv:2412.00322}
}
read the original abstract

It has been almost 40 years since the proposal of the idea that Hawking radiation of black holes does not lead to a complete evaporation but rather a "remnant" state. Though traditionally viewed with great criticisms especially from the high energy physics community, in recent years, various approaches have demonstrated that black hole remnants remain a viable possibility. In this review, which is primarily aimed as an introduction to the subject, we will discuss some possible routes to forming remnants and their respective properties and challenges.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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  2. Black hole thermodynamics and topology

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    The author derives S_RN = 4πM^2 for Reissner-Nordström black holes by adding the inverse temperatures of both horizons, contradicting the standard area law.

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  4. Towards a Non-singular Paradigm of Black Hole Physics

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    This is a review built around a week-long workshop, synthesizing the state and open problems of regular black holes and black hole mimickers as alternatives to singular black holes.

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