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arxiv: 2605.09426 · v1 · submitted 2026-05-10 · 🌀 gr-qc

Recognition: 2 theorem links

· Lean Theorem

Resonant transmission of scalar waves through rotating traversable wormhole

Rajesh Karmakar , Bum-Hoon Lee , Wonwoo Lee
Authors on Pith no claims yet

Pith reviewed 2026-05-12 04:29 UTC · model grok-4.3

classification 🌀 gr-qc
keywords traversable wormholesrotating wormholesscalar wavesBreit-Wigner resonancesgreybody factorsTeo metricwave propagationthroat structure
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0 comments X

The pith

Rotation strengthens Breit-Wigner resonances in scalar transmission through Teo wormholes.

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

The paper shows that massless scalar fields traveling through the spacetime of a rotating traversable wormhole given by Teo's metric produce a transmission spectrum filled with sharp resonant peaks. These peaks occur because wave modes become temporarily trapped between potential barriers on either side of the throat. The calculations demonstrate that introducing rotation increases the height and prominence of these peaks relative to the non-rotating case. A reader would care because the resonances offer a concrete, frequency-dependent signature that could help distinguish wormholes from black holes in observations.

Core claim

In the Teo rotating wormhole background, numerical solution of the massless scalar wave equation yields transmission and absorption spectra containing a series of sharp peaks identified as Breit-Wigner resonances; these arise from temporary trapping of modes in the potential well formed by barriers flanking the throat, and the inclusion of rotation enhances the strength of the resonances compared with the static wormhole case.

What carries the argument

The Teo metric for rotating traversable wormholes together with the effective potential it generates for scalar perturbations, whose numerical solution produces frequency-dependent transmission coefficients that display resonance peaks.

If this is right

  • The resonant peaks remain present and become stronger once rotation is added to Teo's wormhole.
  • The peaks correspond to scalar modes that are temporarily confined by the double-barrier potential around the throat.
  • These resonant features in the absorption spectrum serve as characteristic signatures of wormhole geometries.
  • The overall transmission behavior is shaped by the absence of an event horizon and the presence of the throat structure.

Where Pith is reading between the lines

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

  • The same resonance enhancement could appear when other fields or different wormhole families are examined under rotation.
  • Frequency-dependent transmission data from compact-object mergers might eventually be searched for matching peak patterns.
  • The mechanism suggests that rotation generally modulates wave-trapping efficiency near any throat-like structure.

Load-bearing premise

The Teo metric accurately represents a physically stable, traversable rotating wormhole, and the numerical solution of the wave equation faithfully captures the resonant trapping without discretization artifacts or boundary condition sensitivities.

What would settle it

A direct numerical recomputation of the transmission factor for the same Teo metric but with the rotation parameter set to zero, followed by comparison of peak amplitudes, would show whether rotation actually increases resonance strength.

Figures

Figures reproduced from arXiv: 2605.09426 by Bum-Hoon Lee, Rajesh Karmakar, Wonwoo Lee.

Figure 1
Figure 1. Figure 1: FIG. 1. Effective potential of the scalar field in the static [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. The effective potential barrier for the scalar field has been plotted with [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. The effective potential barrier for the scalar field has been plotted with [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Greybody factor for the scalar field in the static [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Greybody factor for the scalar field has been plotted with the frequency [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Greybody factor for the scalar field has been plotted with the frequency [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Total ACS for the scalar has been plotted considering [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Total ACS of the WH has been plotted with respect to the frequency of the scalar field. [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
read the original abstract

The viability of traversable wormholes as exotic compact objects requires the identification of signatures that distinguish them from other compact objects. Given recent advances in observing rotating black hole signatures, identifying characteristic imprints that reflect the absence of an event horizon and the presence of a throat structure is of considerable significance. Motivated by this, in the present work, we analyze the propagation of a massless scalar field in a rotating traversable wormhole spacetime described by Teo's class of solutions. We numerically compute the transmission (greybody) factor and the corresponding absorption spectrum across a broad range of frequencies. The spectrum exhibits a series of sharp peaks in the amplitudes, which we identify as Breit-Wigner-type resonances. The emergence of such peaks can be attributed to the scalar modes temporarily trapped within the potential well formed by barriers on either side of the throat. These resonant features, previously identified in static wormhole backgrounds, persist in the rotating case. In particular, for Teo's class of wormholes, we find that rotation enhances the strength of the resonances. Overall, our results demonstrate the role of rotation in shaping the resonance effect and indicate these features as characteristic signatures of wormhole geometries.

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

1 major / 1 minor

Summary. The manuscript numerically studies the propagation of a massless scalar field through a rotating traversable wormhole described by Teo's metric. It computes the frequency-dependent transmission (greybody) factors and absorption spectrum, identifies a series of sharp peaks as Breit-Wigner-type resonances caused by temporary trapping of modes in the potential barriers flanking the throat, and reports that nonzero rotation enhances the amplitude of these resonances relative to the static limit, proposing the features as characteristic signatures of wormhole geometries.

Significance. If the reported enhancement of resonances with rotation is robust, the work supplies concrete, falsifiable predictions for scalar-wave scattering that could help distinguish rotating wormholes from black holes in future observations. The extension of resonance analyses from static to rotating Teo backgrounds and the direct numerical evaluation of transmission spectra constitute a clear incremental advance in the study of wave propagation on exotic compact-object spacetimes.

major comments (1)
  1. [Numerical computation of transmission factors] The central claim that rotation enhances resonance strength rests on the numerical computation of transmission peak amplitudes (abstract). The manuscript provides no description of the discretization scheme, radial grid resolution, convergence tests with respect to step size or outer boundary location, or error estimates on the reported peak heights. This omission is load-bearing: without such verification, it remains possible that the apparent increase in peak strength is influenced by numerical artifacts rather than the physical modification of the effective potential by the rotation parameter.
minor comments (1)
  1. [Abstract] The abstract states that resonances 'persist in the rotating case' but does not quantify the frequency range or rotation-parameter values explored; adding a brief statement of the parameter domain would improve clarity.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive feedback. We address the major comment below and will revise the manuscript accordingly.

read point-by-point responses

  1. Referee: [Numerical computation of transmission factors] The central claim that rotation enhances resonance strength rests on the numerical computation of transmission peak amplitudes (abstract). The manuscript provides no description of the discretization scheme, radial grid resolution, convergence tests with respect to step size or outer boundary location, or error estimates on the reported peak heights. This omission is load-bearing: without such verification, it remains possible that the apparent increase in peak strength is influenced by numerical artifacts rather than the physical modification of the effective potential by the rotation parameter.

    Authors: We agree that the submitted manuscript does not include a description of the numerical scheme, grid resolution, convergence tests, or error estimates for the transmission factors. This omission weakens the presentation of the central claim. In the revised version we will add a dedicated subsection detailing the discretization method, radial grid parameters, outer boundary placement, convergence tests under variations of step size and boundary location, and numerical error estimates on the reported peak amplitudes. These additions will establish that the enhancement of resonances with rotation originates from the modification of the effective potential. revision: yes

Circularity Check

0 steps flagged

No significant circularity in numerical transmission computation

full rationale

The paper computes the transmission factor and absorption spectrum by direct numerical integration of the massless scalar wave equation on the fixed Teo rotating wormhole background. Resonances are identified as peaks in the resulting spectrum and the enhancement due to rotation is reported as an output of that integration. No parameters are fitted to the resonance amplitudes or transmission values, no self-definitional relations appear in the equations, and the central claim does not reduce to a prior self-citation or ansatz. The derivation chain is therefore an independent numerical experiment rather than a tautological restatement of its inputs.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The analysis rests on the Teo metric family as the background and standard wave propagation in curved spacetime; no new entities are introduced and parameters are varied rather than fitted to the resonance data itself.

free parameters (1)
  • Teo metric parameters including rotation parameter
    The study varies the rotation parameter and other shape functions within Teo's class of solutions to explore their effect on the resonance spectrum.
axioms (2)
  • domain assumption The spacetime is described by Teo's class of rotating traversable wormhole solutions.
    The metric is adopted as the fixed background for solving the wave equation.
  • standard math The scalar field is massless and obeys the Klein-Gordon equation in the given curved spacetime.
    Standard assumption for studying massless scalar propagation in general relativity.

pith-pipeline@v0.9.0 · 5505 in / 1354 out tokens · 53978 ms · 2026-05-12T04:29:22.953090+00:00 · methodology

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Reference graph

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