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REVIEW 3 major objections 2 minor 83 references

Traversable Wormhole Solutions in massive $F(T)$ gravity

T0 review · 3 major / 2 minor · reviewed 2026-08-05 · deepseek-v4-flash

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Pith's one-line read The graviton-mass term supplies the anisotropic pressure that holds a wormhole throat open, so traversable wormholes exist in massive $F(T)$ gravity without explicitly exotic matter.

desk verdict Plausible new combination, honest abstract, but the unreadable full text and an unstated perturbative hierarchy keep me from endorsing the central claim. read the letter →

arxiv 2508.06290 v3 pith:U4YQUPTH submitted 2025-08-08 gr-qc hep-thmath-phmath.MP

Alexandre Landry , Yassine Sekhmani , Sunil K Maurya , Akram Ali , Emmanuel N. Saridakis This is my paper
classification gr-qchep-thmath-phmath.MP
keywords traversablewormholesmassivegravitydRGTgravitonmassF(T)teleparallelMorris-Thornemetricenergyconditionsanisotropicpressureexactsolutions
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

The paper tries to show that traversable wormholes—passable shortcuts through spacetime—can exist in massive $F(T)$ gravity without the usual requirement of exotic matter with negative energy density. The key idea is that the dRGT graviton-mass term, treated perturbatively on top of torsion-based $F(T)$ gravity, contributes an anisotropic pressure that can satisfy the Morris-Thorne flaring-out condition. For three choices of redshift profile—constant, logarithmic, and power-law—the paper constructs exact, horizonless, asymptotically flat solutions. The effective matter content respects the standard energy conditions or only mildly violates them in controlled parameter windows, and the vanishing-mass limit reproduces ordinary $F(T)$ wormholes. If true, this gives a concrete physical mechanism for building traversable wormholes without exotic matter.

What carries the argument

The carrying mechanism is the split of the effective energy-momentum tensor into a torsional contribution from $F(T)$ gravity and a massive contribution from the dRGT term. The anisotropic pressure of the massive contribution is what can satisfy the Morris-Thorne flaring-out condition at the throat, $b'(r_0) < 1$, without demanding negative energy density in the visible matter; the redshift profile and the massive-sector realization then fix the exact solution.

What would settle it

Compute, for the reported exact solutions, the ratio of the dRGT mass-term stress to the leading $F(T)$ stress at the throat. If satisfying the flaring-out condition forces this ratio to be of order one, the perturbative truncation is invalid and the construction collapses. A second concrete check is to evaluate the dominant energy condition at the throat: finding a parameter window where the effective energy density is negative would falsify the 'without exotic matter' claim.

Watch

Extended reading notes

Core claim

The paper's central claim is that in massive $F(T)$ gravity the dRGT graviton-mass term is not a passive correction but the active ingredient that can keep the throat open: its anisotropic pressure enters the effective energy-momentum tensor alongside the torsional part and can satisfy the flaring-out condition even when the ordinary matter sector avoids negative energy density. Exact horizonless, asymptotically flat Morris-Thorne solutions are obtained for constant, logarithmic, and power-law redshift profiles, in both the general massive sector and the uniform-pressure specialization. In the limit of vanishing graviton mass the solutions reduce smoothly to standard $F(T)$ wormholes, which

Load-bearing premise

The construction assumes the graviton-mass term stays small enough for a perturbative treatment while still being large enough to provide the anisotropic pressure that keeps the wormhole throat open; if these two requirements cannot be met in the same parameter window, the solutions fail.

Editorial extensions

If this is right

  • If correct, traversable wormholes are legitimate solutions of massive $F(T)$ gravity, with the graviton mass itself supplying the throat-sustaining pressure.
  • The vanishing-mass limit connects the new solutions continuously to standard $F(T)$ wormholes, so the massive models are a deformation of an already-known family rather than a disconnected construction.
  • The three redshift profiles provide distinct exact families, so the framework accommodates different lapse behaviors while preserving asymptotic flatness and the absence of horizons.
  • Because the effective matter sector satisfies or only mildly violates standard energy conditions in controlled parameter windows, these solutions are candidates for physically sourced wormholes rather than purely formal ones.

Reading between the lines

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

  • Editorial inference: the perturbative treatment of the graviton-mass term is the main consistency risk—if the mass value needed to satisfy the flaring-out condition is not small, the next-order corrections could invalidate the exact solutions; the paper does not quantify this.
  • Editorial inference: the same energy-momentum decomposition could be applied to rotating or time-dependent wormhole geometries; whether the mass-term pressure survives there is an open extension of this paper.
  • Editorial inference: the uniform-pressure specialization looks well suited to junction and thin-shell constructions, so a natural next step is a radial-stability analysis under linear perturbations of these exact throats.
  • Editorial inference: because the solutions are asymptotically flat and horizonless, lensing and photon-ring calculations could distinguish a massive-$F(T)$ wormhole from a black hole of the same mass; the paper itself does not perform those observations.
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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 / 2 minor

Summary. The manuscript proposes traversable wormhole solutions in F(T) teleparallel gravity augmented by a de Rham-Gabadadze-Tolley (dRGT) graviton-mass term, described as perturbative. The abstract reports that, for a static spherically symmetric Morris-Thorne ansatz, the authors derive the field and conservation equations, decompose the effective energy-momentum tensor into torsional and massive contributions, and construct exact, horizonless, asymptotically flat solutions for three redshift profiles (constant, logarithmic, power-law) and two massive-sector realizations. It claims the solutions satisfy the Morris-Thorne flaring-out condition and that the effective matter sector respects or only mildly violates the standard energy conditions in controlled parameter ranges, with the dRGT term providing the anisotropic pressure that sustains the throat. The supplied full text, however, is mojibake and embeds a header fragment from arXiv:2508.06292v1 [cs.LG], so the field equations, flaring-out check, asymptotic-flatness proof, tables, and parameter windows cannot be inspected.

Significance. If the claimed construction is correct, exact asymptotically flat traversable wormholes whose ordinary matter respects or mildly violates energy conditions would be a useful addition to the modified-gravity wormhole literature, especially because the mechanism is attributed to the massive sector. The paper also promises a smooth vanishing-mass limit to standard F(T) wormholes, which is a desirable consistency check. However, the key conceptual tension in the abstract—between treating the dRGT term as perturbative and using it to supply the O(1) anisotropic pressure needed at the throat—is unresolved, and the unreadable submitted text prevents verification of the field equations, energy-condition tables, and asymptotic-flatness derivation. No machine-checked proofs, reproducible code, or parameter-free derivations are present to offset these gaps.

major comments (3)
  1. [Abstract, first and final sentences] The dRGT term is introduced as 'perturbative' but is then assigned the load-bearing role of supplying the anisotropic pressure that sustains the throat. No dimensionless small parameter or hierarchy is stated to show that the massive-sector terms can be simultaneously O(1) relative to the F(T) terms at the throat (needed to satisfy flaring-out and energy conditions) and small enough to justify a perturbative truncation. If the field equations are solved with the full mass term, 'perturbative' is vacuous and the smooth m→0 limit is a trivial continuity statement; if only first-order mass terms are kept, a first-order backreaction cannot change the zeroth-order energy-condition verdict except at O(ε). This internal-consistency gap is central to the paper's main claim.
  2. [Abstract, energy-condition claim] Because the Morris-Thorne metric functions are chosen first and the matter sector is then solved algebraically from the field equations, the statement that the matter sector 'either respects the standard energy conditions or only mildly violates them within controlled parameter ranges' is a selection over free functions and parameters, not a falsifiable prediction. The abstract does not demonstrate that the chosen windows are generic, nor does it exclude that the energy conditions are satisfied only by rearranging stress-energy contributions between torsional and massive sectors. The full text needed to check the parameter windows is unreadable.
  3. [Full text (all sections)] The supplied full text is corrupted mojibake and includes a header fragment from arXiv:2508.06292v1 [cs.LG]. Consequently the field equations, conservation equations, flaring-out check, asymptotic-flatness proof, the three redshift-profile solutions, and all tables and parameter windows cannot be inspected. This is not a minor typographical issue; none of the paper's central claims is verifiable from the submitted source, and a clean version is required before any substantive technical evaluation is possible.
minor comments (2)
  1. [Abstract] The term 'perturbative' needs a precise meaning: introduce an explicit small parameter or state that the mass term is retained to all orders. Otherwise the reader cannot tell whether the solutions are exact in the massive theory or first-order approximations.
  2. [Title/Abstract] Spell out 'dRGT' at first mention and define what 'uniform-pressure specialization' means before using it as a class of solutions.
Assumptions & free parameters 5 free parameters · 5 assumptions · 0 invented entities

The paper inherits the standard F(T) teleparallel and dRGT massive-gravity frameworks from the prior literature; the abstract does not define the F(T) function, the shape function, or the dRGT couplings, so the specific free parameters could not be enumerated from the supplied text. No new physical entity is introduced: the anisotropic pressure is a decomposition of existing torsion and graviton-mass terms, not a new particle or force.

free parameters (5)
  • Redshift profile functions and their constants (constant, logarithmic, power-law) = unknown (full text unreadable)
    Three redshift profiles are chosen by hand; each carries constants that set the clock function. These are model inputs, not derived.
  • Shape function and throat radius r0 = unknown
    The Morris-Thorne ansatz requires a chosen shape function; the flaring-out condition is then checked for the chosen family.
  • F(T) model parameters (e.g., coefficient of a T^2 term) = unknown
    The torsional stress contribution depends on the unspecified form of F(T); the abstract does not state the model function.
  • dRGT graviton mass and coupling parameters = unknown
    The massive sector parameters set the anisotropic pressure that is claimed to sustain the throat.
  • 'Controlled parameter ranges' for energy conditions = selected window of parameter space
    The abstract states that energy conditions hold or are only mildly violated in restricted ranges, so the headline claim is contingent on this selection.
assumptions (5)
  • domain assumption F(T) teleparallel field equations with a dRGT mass term are the correct starting action.
    The entire derivation begins from this action, per the abstract's first sentence.
  • domain assumption Static, spherically symmetric Morris-Thorne metric ansatz.
    The abstract states this ansatz is adopted; it reduces the problem to two unknown functions of radius.
  • ad hoc to paper The dRGT term can be treated perturbatively while still contributing the pressure that supports the throat.
    The abstract calls the mass term 'perturbative' yet assigns it a structurally important role; the consistency of this double role is not argued in the abstract.
  • domain assumption Asymptotic flatness can be imposed at large radius.
    The solutions are claimed asymptotically flat, which requires boundary conditions compatible with the chosen redshift and shape functions.
  • domain assumption Applying standard energy conditions to the 'effective matter sector' is the physically relevant test.
    The 'no exotic matter' claim depends on this bookkeeping choice; the abstract does not report the energy-condition status of the total effective stress-energy tensor.

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Cite this review

Pith. "Pith review of Traversable Wormhole Solutions in massive $F(T)$ gravity." pith.science (2026). https://pith.science/paper/U4YQUPTH

@misc{pith2026250806290,
  author       = {Pith},
  title        = {Pith review of: Traversable Wormhole Solutions in massive $F(T)$ gravity},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/U4YQUPTH}},
  note         = {Machine review of arXiv:2508.06290}
}
abstract

We study traversable wormhole geometries in an $F(T)$ teleparallel framework augmented by a perturbative de Rham-Gabadadze-Tolley (dRGT) graviton-mass term. Adopting the static, spherically symmetric Morris-Thorne ansatz, we derive the field and conservation equations and decompose the effective energy-momentum tensor into torsional and massive contributions. Focusing on three representative redshift profiles, namely, constant, logarithmic, and power-law, together with two realizations of the massive sector (the general case and a uniform-pressure specialization), we construct exact, horizonless solutions that satisfy the Morris-Thorne flaring-out condition and are asymptotically flat. The effective matter sector either respects the standard energy conditions or only mildly violates them within controlled parameter ranges. Crucially, the dRGT term supplies an additional anisotropic pressure that can sustain the throat without invoking explicitly exotic matter; in the vanishing-mass limit, the configurations reduce smoothly to standard $F(T)$ wormholes, confirming the internal consistency of the framework.

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