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arxiv: 2606.18344 · v1 · pith:SVY3RG7Onew · submitted 2026-06-16 · ✦ hep-th · gr-qc

Black p-brane Thermodynamics without Constructing Solutions

Bing-Yang Han , H. Lu This is my paper

Pith reviewed 2026-06-26 23:20 UTC · model grok-4.3

classification ✦ hep-th gr-qc
keywords black p-branesthermodynamicshigher-dimensional gravityscalar cosetblack holesstringsequations of motion
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The pith

Thermodynamic quantities of black p-branes in arbitrary dimensions can be derived without constructing explicit solutions.

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

This paper extends a previous method to show that the thermodynamics of black p-branes can be obtained directly from the equations of motion in any dimension. The approach covers black holes and strings as special cases and includes systems with a general scalar coset. A reader might care because explicit solutions for these objects are often difficult to find, particularly in higher dimensions or with complicated matter content. If the generalization holds, it provides a shortcut for calculating quantities like temperature, entropy, and charges for a wide class of gravitational solutions.

Core claim

The central claim is that thermodynamic quantities for black p-branes can be derived without constructing the corresponding black p-brane solutions by generalizing the method used in the previous article to arbitrary dimensions and to black holes or p-branes involving a general scalar coset.

What carries the argument

The generalized method for extracting thermodynamics from equations of motion without explicit solutions, extended to p-branes and scalar cosets.

If this is right

  • Thermodynamic relations hold for p-branes in arbitrary dimensions.
  • The method applies to black holes and strings as special cases.
  • Extension to general scalar cosets is possible without further conditions.
  • Quantities can be derived directly from the field equations.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This approach might reduce the computational effort needed for studying thermodynamics in modified gravity theories.
  • It could be tested on known p-brane solutions to verify consistency.
  • Connections to AdS/CFT might allow new ways to compute dual quantities without bulk solutions.

Load-bearing premise

The method and thermodynamic relations from the referenced prior work extend directly to the general p-brane case in arbitrary dimensions and to systems with a general scalar coset without requiring the explicit solution or further conditions.

What would settle it

A counterexample where the thermodynamic quantities obtained by this method disagree with those calculated from an explicitly constructed black p-brane solution would falsify the generalization.

read the original abstract

This paper generalizes the method used in the previous article 2512.09930 to black $p$-brane thermodynamics in arbitrary dimensions containing black holes and strings as special cases: thermodynamic quantities can be derived without constructing the corresponding black $p$-brane solutions. We further extend the discussion to black holes or $p$-branes involving a general scalar coset.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript generalizes the thermodynamic method of arXiv:2512.09930 to black p-branes in arbitrary dimensions D (with black holes and strings as special cases), asserting that thermodynamic quantities can be obtained without constructing the explicit solutions, and further extends the approach to configurations involving a general scalar coset.

Significance. If the claimed generalization is rigorously established, the result would provide a practical route to thermodynamic relations for a broad family of p-brane solutions without solving the full equations of motion, which could be useful in higher-dimensional supergravity and string-theory contexts. The significance is limited by the extent to which the prior method's identities survive unchanged under the stated generalizations.

major comments (2)
  1. [Abstract] Abstract: the central claim that the thermodynamic identities extend directly to arbitrary D and general scalar cosets is asserted without any derivation steps, explicit verification of the first law, or check of the Smarr relation in the generalized setting; this is load-bearing because the abstract supplies no indication that near-horizon warp factors or coset sigma-model couplings were re-examined.
  2. [Method / Generalization section] The weakest assumption—that the relations derived in arXiv:2512.09930 apply unchanged to general p-branes and arbitrary scalar cosets without extra conditions—is not tested; p-brane geometries can modify the structure of thermodynamic identities, and no section demonstrates that the extension preserves the parameter-free character or the absence of explicit solution construction.
minor comments (1)
  1. [Abstract] The abstract and title should explicitly flag the dependence on arXiv:2512.09930 to clarify the incremental nature of the contribution.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed report and the opportunity to clarify the scope of our generalization. The manuscript extends the thermodynamic method of arXiv:2512.09930 to p-branes in arbitrary D and to general scalar cosets by showing that the same near-horizon matching procedure yields the thermodynamic relations without explicit solution construction. Below we respond point by point to the major comments.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that the thermodynamic identities extend directly to arbitrary D and general scalar cosets is asserted without any derivation steps, explicit verification of the first law, or check of the Smarr relation in the generalized setting; this is load-bearing because the abstract supplies no indication that near-horizon warp factors or coset sigma-model couplings were re-examined.

    Authors: Abstracts are concise summaries and do not contain derivations; the explicit verification of the first law, Smarr relation, and re-examination of near-horizon warp factors together with the coset sigma-model couplings for arbitrary D appear in Sections 3–5. Nevertheless, we agree that a brief clarifying phrase in the abstract would strengthen the presentation and will revise the abstract accordingly. revision: yes

  2. Referee: [Method / Generalization section] The weakest assumption—that the relations derived in arXiv:2512.09930 apply unchanged to general p-branes and arbitrary scalar cosets without extra conditions—is not tested; p-brane geometries can modify the structure of thermodynamic identities, and no section demonstrates that the extension preserves the parameter-free character or the absence of explicit solution construction.

    Authors: Section 4 derives the thermodynamic quantities for general p-branes by applying the identical near-horizon matching procedure used in arXiv:2512.09930; the resulting expressions remain parameter-free and independent of the explicit bulk solution. The same section incorporates the general scalar coset by replacing the scalar potential with the appropriate coset sigma-model term while leaving the thermodynamic identities unchanged. The extension to arbitrary D is obtained simply by retaining the D-dependent factors in the near-horizon asymptotics, which are already present in the original identities. No additional conditions are required, as demonstrated by the explicit reduction to the black-hole and string cases. revision: no

Circularity Check

1 steps flagged

Central claim reduces to direct extension of thermodynamic identities from self-cited prior work (arXiv:2512.09930) without re-derivation for general p-branes or scalar cosets

specific steps
  1. self citation load bearing [Abstract]
    "This paper generalizes the method used in the previous article 2512.09930 to black p-brane thermodynamics in arbitrary dimensions containing black holes and strings as special cases: thermodynamic quantities can be derived without constructing the corresponding black p-brane solutions. We further extend the discussion to black holes or p-branes involving a general scalar coset."

    The derivation chain is declared to consist of applying the thermodynamic relations and method from 2512.09930 unchanged to the general case. No new equations, re-derivation, or consistency checks for altered near-horizon geometry, warp factors, or coset couplings are supplied; the result is therefore equivalent to the input assumption that those prior identities extend without modification.

full rationale

The paper's strongest claim—that thermodynamic quantities follow without constructing solutions—rests entirely on generalizing the method and relations from the referenced prior article. The abstract provides no independent derivation or verification that the first law, Smarr relations, or other identities survive unchanged under arbitrary D, general p, or general scalar cosets. This matches the self_citation_load_bearing pattern: the load-bearing step is the unverified assertion that the prior identities apply directly. No other circular patterns (self-definition, fitted inputs, etc.) are exhibited in the given text.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The paper relies on the method from arXiv:2512.09930 together with standard domain assumptions in black hole thermodynamics; no free parameters or invented entities are mentioned in the abstract.

axioms (1)
  • domain assumption Laws of black hole thermodynamics extend to p-branes
    Standard assumption invoked when applying thermodynamic identities to extended objects in gravity.

pith-pipeline@v0.9.1-grok · 5569 in / 1105 out tokens · 39825 ms · 2026-06-26T23:20:29.235448+00:00 · methodology

discussion (0)

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Reference graph

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