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arxiv: 2606.12528 · v1 · pith:IHOIKZD5new · submitted 2026-06-10 · ✦ hep-th · gr-qc

How traversable is a traversable wormhole?

Ben Freivogel , Alessandro Fumagalli , Marija Toma\v{s}evi\'c This is my paper

Pith reviewed 2026-06-27 08:58 UTC · model grok-4.3

classification ✦ hep-th gr-qc
keywords traversable wormholelow-frequency scatteringcharged fermionstransmission probabilityCallan-Rubakov effectscalar probesMaldacena-Milekhin-Popov wormholemagnetic black holes
0
0 comments X

The pith

Charged massless fermions traverse the traversable wormhole with unit probability at low energies, while scalars are suppressed except at resonances.

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

The paper examines low-frequency scattering of probes through the four-dimensional traversable wormhole constructed by Maldacena, Milekhin, and Popov. It finds that scalar probes experience parametric suppression in transmission at early times, with gradual leakage leading to late-time accumulated transmission of half the black hole absorption cross-section, and perfect transmission at certain resonant frequencies. In contrast, charged massless fermions transmit with essentially unit probability at low energies through a mechanism analogous to the Callan-Rubakov effect. This probe dependence implies that fermions are efficient carriers of information through the wormhole while scalars can highlight its distinct features. A sympathetic reader would care because it quantifies how traversable such wormholes really are for different types of matter.

Core claim

Low-frequency scattering in the Maldacena-Milekhin-Popov wormhole shows that charged massless fermions traverse with transmission probability approaching unity at low energies, realizing a channel analogous to the Callan-Rubakov effect, while scalar probes have time-dependent transmission that is suppressed at short times but reaches half the black hole cross-section at late times, with resonances allowing perfect transmission.

What carries the argument

Low-frequency scattering analysis applied to the traversable wormhole geometry, yielding transmission probabilities for different probes.

If this is right

  • Transmission for scalars is time-scale dependent, suppressed initially but accumulating over time to half the black hole absorption cross-section.
  • Resonant frequencies permit perfect transmission for scalars.
  • Fermions exhibit unit transmission due to the same mechanism as efficient absorption by magnetic black holes.
  • Scalar probes best reveal distinct wormhole features; fermions best for information transfer.

Where Pith is reading between the lines

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

  • The analogy to monopole scattering suggests wormhole traversability could be tested via similar fermion dynamics in other curved spacetimes.
  • This may imply that in quantum gravity, information transfer through wormholes favors fermionic degrees of freedom over bosonic ones.
  • Extensions to other probe types or geometries could check whether the fermion transmission advantage is generic.

Load-bearing premise

The geometry and fields are precisely those of the Maldacena-Milekhin-Popov traversable wormhole and the low-frequency approximation holds without quantum gravity corrections.

What would settle it

A direct computation of the transmission probability for low-energy charged massless fermions showing it is significantly below one would falsify the unit probability claim.

read the original abstract

To answer the above question, we study low-frequency scattering in the four-dimensional traversable wormhole of Maldacena, Milekhin, and Popov. The resulting transmission probabilities reveal that wormhole traversability depends strongly on the nature of the probe. For scalar probes, both neutral and charged, traversability depends on the time scale. On time scales of order the light-crossing time after sending in a signal, the transmission is parametrically suppressed, with most of the incoming signal reflected or temporarily trapped inside the wormhole throat. As time progresses, the trapped signal gradually leaks out, so that at late times the accumulated transmission cross-section approaches one half of the corresponding black hole absorption cross-section. Despite this generic suppression at low frequencies, the transmission spectrum also exhibits resonant frequencies at which transmission becomes perfect. Charged massless fermions tell a very different story. Unlike scalars, they traverse the wormhole with essentially unit probability at low energies. The same mechanism underlies their efficient absorption by magnetic black holes and realizes a channel closely analogous to the Callan-Rubakov effect, revealing unexpected connections with monopole-fermion scattering. Putting everything together, we conclude that scalar probes are best suited for uncovering distinct features of these magnetic wormholes, while charged massless fermions are the ideal carriers of information through them.

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

0 major / 2 minor

Summary. The manuscript performs low-frequency scattering calculations for probes in the four-dimensional traversable wormhole background of Maldacena, Milekhin, and Popov. For scalar fields (neutral or charged), transmission is parametrically suppressed on light-crossing timescales, with most signal reflected or trapped before gradually leaking at late times such that the accumulated transmission cross-section approaches half the corresponding black-hole absorption cross-section; resonant frequencies allow perfect transmission. Charged massless fermions, by contrast, exhibit near-unit transmission probability at low energies through a zero-mode mechanism that also accounts for efficient absorption by magnetic black holes and is analogous to the Callan-Rubakov effect.

Significance. If the scattering results hold, the work supplies concrete, probe-dependent transmission probabilities in a fixed traversable-wormhole geometry and establishes an explicit link between wormhole traversability and monopole-fermion scattering. The explicit low-frequency analysis on the MMP background, without reduction to fitted parameters, is a strength that yields falsifiable predictions for transmission spectra.

minor comments (2)
  1. The abstract states the fermion transmission probability approaches unity but does not reference the specific Dirac-equation solution or boundary conditions used; adding a brief pointer to the relevant section or equation would improve readability.
  2. The comparison of the late-time scalar transmission cross-section to half the black-hole value would benefit from an explicit statement of the normalization convention for the cross-sections.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive evaluation of the manuscript and for recommending minor revision. The assessment correctly captures the probe-dependent nature of traversability in the MMP background. No specific major comments were enumerated in the report.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper takes the MMP traversable wormhole geometry as an externally cited fixed background and performs new explicit low-frequency scattering calculations by solving the relevant wave equations (scalar and Dirac) in that geometry. Transmission probabilities and cross-sections are obtained directly from the solutions without parameter fitting, self-referential definitions, or load-bearing self-citations; the Callan-Rubakov analogy is invoked only as an interpretive connection after the computation. The derivation chain is therefore self-contained and independent of its inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Only the abstract is available; no explicit free parameters, invented entities, or non-standard axioms are stated. The work relies on standard QFT on curved space and the MMP background metric.

axioms (2)
  • standard math Quantum field theory on a fixed curved background
    Used to compute scattering and transmission probabilities
  • domain assumption The four-dimensional traversable wormhole metric and magnetic fields of Maldacena, Milekhin, and Popov
    Taken as the background geometry for all calculations

pith-pipeline@v0.9.1-grok · 5765 in / 1238 out tokens · 21406 ms · 2026-06-27T08:58:10.319973+00:00 · methodology

discussion (0)

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Reference graph

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