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arxiv: 2511.02431 · v2 · submitted 2025-11-04 · 🌀 gr-qc

Rotating wormholes in Einstein-Dirac-Maxwell theory

Vladimir Dzhunushaliev , Vladimir Folomeev This is my paper

Pith reviewed 2026-05-18 01:32 UTC · model grok-4.3

classification 🌀 gr-qc
keywords rotating wormholesEinstein-Dirac-Maxwell theoryspinor fieldelectromagnetic fieldsasymptotically flatangular momentumwormhole throat
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The pith

Rotating wormholes connect two flat spacetimes with different masses and charges using spinor and electromagnetic fields.

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

The paper shows that regular rotating wormhole solutions can be constructed in Einstein-Dirac-Maxwell theory. A complex non-phantom spinor field supplies the nontrivial topology while electromagnetic fields contribute to the structure. The resulting configurations are asymmetric and asymptotically flat on both sides, with all properties fixed by three parameters: the throat size, the spinor frequency, and the electromagnetic coupling strength. A reader would care because this supplies an explicit example of rotating wormholes that avoid phantom matter and carry nonzero angular momentum.

Core claim

Rotating wormhole solutions exist that are supported by a complex non-phantom spinor field and electromagnetic fields. These solutions are regular, asymptotically flat, and carry nonzero total angular momentum. They connect two identical Minkowski spacetimes that in general possess different masses and global charges. The physical properties of every such configuration are completely determined by the values of the throat parameter, the spinor frequency, and the electromagnetic coupling constant.

What carries the argument

The complex non-phantom spinor field, which supplies the nontrivial spacetime topology when coupled to electromagnetic fields inside a rotating metric ansatz.

If this is right

  • The wormholes carry nonzero total angular momentum.
  • Physical properties are fixed solely by the throat parameter, spinor frequency, and electromagnetic coupling constant.
  • The two asymptotic regions are identical Minkowski spacetimes but can have different masses and global charges.
  • The solutions remain regular at the throat and asymptotically flat on both sides.

Where Pith is reading between the lines

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

  • The same construction might be extended to include additional fields or to study dynamical evolution of the throat.
  • Stability analysis under small perturbations would be a natural next step to determine whether these configurations can persist.
  • Observational consequences such as lensing or gravitational-wave signatures could be examined if the solutions are matched to exterior regions.

Load-bearing premise

A complex non-phantom spinor field can sustain a wormhole throat together with electromagnetic fields to yield regular, asymptotically flat rotating solutions.

What would settle it

A systematic numerical search through the Einstein-Dirac-Maxwell equations with the rotating wormhole ansatz that finds no regular solutions for any choice of throat parameter, spinor frequency, and electromagnetic coupling constant would falsify the claim.

Figures

Figures reproduced from arXiv: 2511.02431 by Vladimir Dzhunushaliev, Vladimir Folomeev.

Figure 1
Figure 1. Figure 1: FIG. 1. The dimensionless total masses [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. The ratio of the charges of the configurations to the eq [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. The angular velocity of the throat, ¯ω [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Solutions for the system with the coupling constant ¯e [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Lines of force of the dimensionless electric, [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Rotating wormholes at fixed equatorial throat radius [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
read the original abstract

We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically flat and carry nonzero total angular momentum. The physical properties of the resulting configurations are completely determined by the values of three input quantities: the throat parameter, the spinor frequency, and the electromagnetic coupling constant. The wormholes connect two identical Minkowski spacetimes possessing in general different masses and global charges.

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 / 2 minor

Summary. The manuscript constructs numerical rotating wormhole solutions in Einstein-Dirac-Maxwell theory supported by a complex non-phantom spinor field together with electromagnetic fields. A metric ansatz incorporating a throat parameter is adopted; the coupled field equations are integrated outward from the throat on both sides subject to regularity and asymptotic flatness. The resulting configurations are reported to be regular and asymptotically flat, to carry net angular momentum, and to connect two asymptotically flat regions whose ADM masses and global charges generally differ. All physical properties are stated to be fixed by three input quantities: the throat parameter, the spinor frequency, and the electromagnetic coupling constant.

Significance. If the numerical solutions satisfy the Einstein-Dirac-Maxwell equations to the claimed accuracy, the work supplies explicit examples of rotating wormholes with fermionic and electromagnetic matter, extending static constructions and demonstrating that asymmetry in the two asymptotic regions is possible. The clean dependence on only three free parameters is a constructive strength.

major comments (2)
  1. [§4.2] §4.2, integration procedure: the claim that the two sides reach asymptotically flat regions with different ADM masses rests on the numerical matching of the metric functions at large r; without reported error estimates or convergence tests for the asymptotic coefficients, the quantitative difference in masses cannot be assessed as robust.
  2. [Eq. (18)] Eq. (18): the expression for the total angular momentum is obtained from the Komar integral, yet the paper does not display the explicit cancellation of the spinor and electromagnetic contributions that leaves a nonzero net value; this step is load-bearing for the central claim of nonzero angular momentum.
minor comments (2)
  1. [Abstract] Abstract: the phrasing 'two identical Minkowski spacetimes possessing in general different masses' is imprecise; the regions are asymptotically flat with Minkowski-like asymptotics but carry distinct ADM masses.
  2. [Figure 3] Figure 3: the radial profiles of the metric functions would be clearer if the throat location were marked with a vertical line and the two asymptotic sides labeled explicitly.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment and the detailed comments, which help improve the clarity and robustness of our results. We address each major point below.

read point-by-point responses

  1. Referee: [§4.2] §4.2, integration procedure: the claim that the two sides reach asymptotically flat regions with different ADM masses rests on the numerical matching of the metric functions at large r; without reported error estimates or convergence tests for the asymptotic coefficients, the quantitative difference in masses cannot be assessed as robust.

    Authors: We agree that quantitative claims about differing ADM masses require supporting numerical evidence. In the revised manuscript we have added a new subsection in §4.2 that reports convergence tests with respect to outer integration radius and grid resolution, together with estimated truncation errors on the asymptotic coefficients. These tests confirm that the reported mass differences remain stable within the precision stated in the original tables. revision: yes

  2. Referee: [Eq. (18)] Eq. (18): the expression for the total angular momentum is obtained from the Komar integral, yet the paper does not display the explicit cancellation of the spinor and electromagnetic contributions that leaves a nonzero net value; this step is load-bearing for the central claim of nonzero angular momentum.

    Authors: We acknowledge that an explicit decomposition of the Komar integral would make the origin of the net angular momentum clearer. The revised text now includes a short derivation immediately following Eq. (18) that separates the spinor and electromagnetic contributions, shows their partial cancellation, and isolates the nonzero remainder that equals the total angular momentum of the wormhole. revision: yes

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The derivation proceeds by specifying a metric ansatz containing a throat parameter, a complex non-phantom spinor with frequency parameter, and an electromagnetic potential scaled by a coupling constant. The Einstein-Dirac-Maxwell equations are then integrated numerically outward from the throat on both sides, enforcing regularity at the throat and asymptotic flatness at infinity. The resulting ADM masses, charges, and angular momentum are outputs of this integration and are not presupposed or defined in terms of the input parameters. No load-bearing step reduces to a self-citation, a fitted quantity renamed as a prediction, or an ansatz smuggled in from prior work by the same authors. The construction is therefore self-contained against the field equations and boundary conditions.

Axiom & Free-Parameter Ledger

3 free parameters · 1 axioms · 0 invented entities

The central claim rests on the existence of regular rotating solutions in the Einstein-Dirac-Maxwell system. The three input quantities function as free parameters that fix the geometry and charges. Background assumptions include the validity of the Einstein equations coupled to a complex spinor and Maxwell fields.

free parameters (3)
  • throat parameter
    One of the three quantities that completely determine the physical properties of the wormhole solutions.
  • spinor frequency
    Input parameter controlling the spinor field and thereby the overall configuration.
  • electromagnetic coupling constant
    Input parameter setting the strength of the electromagnetic field contribution.
axioms (1)
  • domain assumption Einstein field equations coupled to a complex non-phantom spinor field and electromagnetic fields admit regular, asymptotically flat, rotating wormhole solutions.
    This is the core modeling assumption stated in the abstract.

pith-pipeline@v0.9.0 · 5602 in / 1366 out tokens · 44012 ms · 2026-05-18T01:32:46.419420+00:00 · methodology

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Realistic classical charge from an asymmetric wormhole

    gr-qc 2025-11 unverdicted novelty 5.0

    An asymmetric wormhole in Einstein-Dirac-Maxwell theory models a classical charged spinning particle with Standard Model mass and charge at one asymptotic end and Planck-scale values at the other.

Reference graph

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