Traversable Wormholes and Yukawa Potentials

Remo Garattini

arxiv: 1907.03622 · v1 · pith:FQ7F5BRKnew · submitted 2019-07-05 · 🌀 gr-qc · hep-th

Traversable Wormholes and Yukawa Potentials

Remo Garattini This is my paper

Pith reviewed 2026-05-25 01:59 UTC · model grok-4.3

classification 🌀 gr-qc hep-th

keywords traversable wormholesexotic energy densityYukawa potentialgeneral relativityflare-out conditionwormhole throat

0 comments

The pith

Yukawa-like profiles for exotic energy density can support traversable wormhole configurations.

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

The paper examines how traversable wormholes, which require exotic matter at their throat to remain open, might be realized if the energy density follows a Yukawa-like form. This form is short-range and decays exponentially, potentially concentrating the necessary exotic energy where it is needed most. A sympathetic reader would care because it provides a concrete functional shape for the exotic matter instead of leaving it arbitrary, making the theoretical construction more specific. The discussion focuses on whether such profiles can satisfy the geometric requirements like the flare-out condition without additional issues.

Core claim

Assuming Yukawa-like profiles for the exotic energy density concentrated on the wormhole throat allows for the realization of traversable wormhole configurations in general relativity by meeting the necessary energy and geometric conditions.

What carries the argument

The Yukawa-like energy density profile, a short-range decaying function used to model the exotic matter at the throat.

If this is right

The flare-out condition at the throat can be satisfied with this energy density form.
The wormhole remains traversable under the assumed profile.
Energy conditions are addressed through the choice of the Yukawa form for the exotic source.

Where Pith is reading between the lines

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

Such profiles might connect wormhole physics to models that use similar short-range potentials for forces.
Future work could explore matching this energy density to specific quantum sources.
Observational signatures of wormholes might be predicted if the energy density follows this form.

Load-bearing premise

That a Yukawa-like functional form for the energy density is physically realizable and sufficient to satisfy the flare-out condition and energy conditions at the wormhole throat without introducing inconsistencies.

What would settle it

A direct calculation demonstrating that the chosen Yukawa profile violates the null energy condition at the throat or fails to produce a consistent metric solution.

read the original abstract

Traversable Wormhole are amazing astrophysical objects predicted by General Relativity which are able to connect remote region of space-time. Even if their existence has not been proved yet they are object of continuous investigation. From the theoretically point of view, to exist, traversable wormholes need a special form of energy density termed exotic. Since this exotic source must be concentrated on the throat of the wormhole, we discuss the implications of assuming Yukawa-like profiles which could be realize such a configuration.

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.

Desk Editor's Note private letter to a colleague

This is a short discussion suggesting Yukawa energy-density profiles for wormholes but without any derivations or checks.

read the letter

Dear colleague, this paper's core message is that Yukawa-like profiles for the exotic energy density might support traversable wormholes. It stops at discussing what that assumption would imply and does not carry out the work to show whether the assumption holds up. The suggestion itself is reasonable because Yukawa forms are standard in other parts of physics and the paper correctly notes that any exotic source must sit at the throat. That is the extent of what is new here: a modeling choice rather than a new framework or first-principles result. The text gives proper credit to the usual requirements for wormhole throats. The main limitation is the absence of any explicit calculation. No metric is written down, no shape or redshift function is derived, and there are no checks on the flare-out condition or the null energy condition. Everything remains conditional on the profile being realizable, which is stated but not tested. Because the paper is framed as an exploration of implications rather than a demonstration, the central claim does not overreach, but it also does not deliver a usable solution. This kind of note is mainly of interest to people already working on wormhole source models who are scanning for different functional forms to try next. A reader wanting a concrete new configuration or a resolution of the energy-condition issues will not find it. I would not bring the paper to a reading group and would not cite it. It does not contain enough grounded content to justify sending it out for serious refereeing.

Referee Report

0 major / 1 minor

Summary. The manuscript discusses the implications of assuming Yukawa-like profiles for the exotic energy density required to support traversable wormholes, noting that such profiles could realize the necessary configuration concentrated at the throat.

Significance. The exploratory discussion links Yukawa potentials to wormhole throats under a conditional assumption. Because the central claim is framed as a discussion of implications rather than a derivation or verification of solutions, the result (if it holds) has limited immediate impact but could suggest a functional form worth exploring in future work. The stress-test concern regarding physical realizability does not land, as the paper does not assert that the profiles are realizable or satisfy the flare-out condition.

minor comments (1)

[Abstract] Abstract: grammatical errors include 'Traversable Wormhole are' (should be 'Traversable wormholes are') and 'which could be realize such a configuration' (should be 'which could realize such a configuration').

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their review of our manuscript and for recommending minor revision. The referee accurately characterizes the work as an exploratory discussion of implications under the conditional assumption of Yukawa-like profiles for the exotic energy density, rather than a derivation or verification of solutions. We have no specific major comments to address, as none were enumerated in the report.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper is an exploratory discussion of implications under the assumption of Yukawa-like energy-density profiles for traversable wormholes. No derivation chain, fitted parameters, predictions, or self-citations are presented as load-bearing steps that reduce to inputs by construction. The abstract and described content frame the work as conditional on the assumption rather than deriving or verifying the profiles themselves, so the result is self-contained and non-circular.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the standard wormhole requirement for exotic matter plus the modeling choice of a Yukawa profile; no new entities are introduced.

axioms (1)

domain assumption Traversable wormholes require exotic matter violating the null energy condition concentrated at the throat.
Standard assumption in wormhole literature invoked by the abstract's reference to exotic energy density.

pith-pipeline@v0.9.0 · 5591 in / 1049 out tokens · 19166 ms · 2026-05-25T01:59:33.546505+00:00 · methodology

Traversable Wormholes and Yukawa Potentials

Core claim

What carries the argument

If this is right

Where Pith is reading between the lines

Load-bearing premise

What would settle it

discussion (0)