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arxiv: 2512.00958 · v2 · submitted 2025-11-30 · 🌀 gr-qc

Realistic classical charge from an asymmetric wormhole

Vladimir Dzhunushaliev , Vladimir Folomeev This is my paper

Pith reviewed 2026-05-17 03:12 UTC · model grok-4.3

classification 🌀 gr-qc
keywords asymmetric wormholesEinstein-Dirac-Maxwell theoryspinor fieldsclassical chargemass without masscharge without chargewormhole topology
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The pith

An asymmetric wormhole in Einstein-Dirac-Maxwell theory connects a spacetime with Standard Model particle masses and charges to one with Planck-scale values.

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

The paper constructs a wormhole solution supported by a complex non-phantom spinor field carrying a bare mass near the Planck scale, together with electric and magnetic fields. This geometry forms an asymmetric bridge between two distinct asymptotically flat regions where the measured masses and charges generally differ. Suitable choices of the free parameters make one end reproduce the mass and charge values characteristic of Standard Model particles while the opposite end shows Planck-scale values. A sympathetic reader would care because the construction supplies a concrete classical realization of particles as topological structures that carry spin without relying on pointlike sources.

Core claim

Within Einstein-Dirac-Maxwell theory there exists an asymmetric wormhole solution supported by a complex non-phantom spinor field with bare mass of the order of the Planck mass, an electric field that supplies the charge, and a magnetic field. The solution joins two different asymptotically flat spacetimes in which the observed masses and charges can be adjusted, by choice of the free parameters, to match those of Standard Model particles at one end and Planck values at the other, thereby furnishing a model of classical charge that also possesses intrinsic angular momentum.

What carries the argument

The asymmetric wormhole geometry supported by a complex non-phantom spinor field of Planck-scale bare mass, which supplies both the wormhole topology and intrinsic angular momentum, together with electric and magnetic fields.

If this is right

  • Suitable parameter choices make the observed mass and charge at one asymptotic end match values typical of Standard Model particles.
  • The same solution simultaneously produces Planck-scale mass and charge at the opposite end.
  • The spinor field accounts for the intrinsic angular momentum of the configuration.
  • The overall setup supplies a geometric model for a classical charged spinning particle without point sources.

Where Pith is reading between the lines

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

  • If the solution is stable, it offers a route to viewing elementary particles as scale-bridging topological defects rather than localized field excitations.
  • Numerical evolution of the solution under small perturbations would test whether the two-scale asymptotics persist dynamically.
  • The same construction might be adapted to include additional gauge fields to reproduce further quantum numbers.

Load-bearing premise

A regular solution to the Einstein-Dirac-Maxwell equations exists in which the spinor field threads a wormhole and the free parameters can be chosen to produce different asymptotic masses and charges at the two ends.

What would settle it

An explicit integration of the field equations showing that no real values of the free parameters yield an asymptotically flat solution with unequal masses and charges at the two ends, or that the spinor field develops a singularity, would falsify the existence of the claimed configuration.

Figures

Figures reproduced from arXiv: 2512.00958 by Vladimir Dzhunushaliev, Vladimir Folomeev.

Figure 1
Figure 1. Figure 1: FIG. 1. The typical distributions of lines of force of the dim [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. The masses [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. The ratio of the angular momentum [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
read the original abstract

Within Einstein-Dirac-Maxwell theory, we consider a wormhole solution supported by a complex non-phantom spinor field with a bare mass of the order of the Planck mass (which provides a nontrivial spacetime topology and an intrinsic angular momentum), an electric field (which provides a charge of the system), and a magnetic field. This solution describes an asymmetric wormhole connecting two different asymptotically flat spacetimes (two universes) in which there are in general different observed masses and charges. It is shown that, by suitably adjusting the values of free system parameters, at one end of the wormhole, one can obtain the values of the observed mass and charge typical of the Standard Model particles, whereas at the other end of the wormhole these physical quantities acquire the Planck values. Such a configuration incarnates Wheeler's idea of ``mass without mass'' and ``charge without charge'', and can be thought of as a model of a classical charge possessing a spin.

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 / 1 minor

Summary. The paper claims to construct a solution to the Einstein-Dirac-Maxwell equations describing an asymmetric wormhole supported by a complex non-phantom spinor field of Planck-scale bare mass (providing topology and intrinsic angular momentum), together with electric and magnetic fields. This configuration connects two distinct asymptotically flat regions whose observed ADM masses and charges can be independently tuned, via adjustment of free system parameters, to Standard Model particle values at one end and Planck-scale values at the other, thereby realizing Wheeler's 'mass without mass' and 'charge without charge' as a classical model of a spinning charged particle.

Significance. If the central existence claim holds, the work would furnish a concrete geometric model linking elementary-particle scales to wormhole topology and spinor fields, extending classical geometrodynamics in a manner that could motivate further studies of spinor-supported asymmetric wormholes and their stability. The explicit separation of bare and observed quantities at the two ends is a potentially interesting feature, though its broader significance depends on demonstrating that the required solutions are not artifacts of unconstrained parameter fitting.

major comments (2)
  1. [Abstract] Abstract: the assertion that 'by suitably adjusting the values of free system parameters' one obtains SM-scale mass and charge at one asymptotic end and Planck-scale values at the other does not address the number of independent integration constants remaining after throat regularity and asymptotic flatness are imposed on both sides. The continuity conditions across the throat generically correlate the two asymptotic (M, Q) pairs, so that independent tuning may not be possible while preserving the non-phantom condition.
  2. [Einstein-Dirac-Maxwell equations and numerical construction] The system of nonlinear ODEs obtained from the Einstein-Dirac-Maxwell equations: no explicit count is given of how many free parameters survive after fixing the bare spinor mass to the Planck scale, enforcing regularity at the throat, and requiring asymptotic flatness with independent (M, Q) at each infinity. Without this accounting, the claim that the observed quantities can be matched to SM and Planck values simultaneously remains unverified.
minor comments (1)
  1. The distinction between the complex spinor components and the electromagnetic potentials should be made clearer in the notation to avoid ambiguity when discussing the source of intrinsic angular momentum.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address the major comments point by point below, providing clarifications on the numerical construction and parameter structure. We will revise the manuscript to include an explicit accounting of the surviving free parameters after all constraints are imposed.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the assertion that 'by suitably adjusting the values of free system parameters' one obtains SM-scale mass and charge at one asymptotic end and Planck-scale values at the other does not address the number of independent integration constants remaining after throat regularity and asymptotic flatness are imposed on both sides. The continuity conditions across the throat generically correlate the two asymptotic (M, Q) pairs, so that independent tuning may not be possible while preserving the non-phantom condition.

    Authors: We thank the referee for this observation. In our construction the coordinate is chosen so that the throat lies at the origin, with metric and field functions required to be even or odd as appropriate to enforce regularity and smoothness. This automatically satisfies continuity across the throat. With the bare spinor mass fixed at the Planck scale, the remaining adjustable quantities are the central amplitude of the complex spinor and the strengths of the electric and magnetic fields. Asymptotic flatness at each end then determines the observed ADM mass and charge from the leading fall-off coefficients. Our numerical integrations demonstrate that these parameters can be varied independently within the range that preserves the non-phantom character of the spinor, yielding solutions in which one asymptotic region exhibits Standard-Model-scale values while the other exhibits Planck-scale values. We will revise the abstract and add a clarifying sentence on this tuning procedure. revision: yes

  2. Referee: [Einstein-Dirac-Maxwell equations and numerical construction] The system of nonlinear ODEs obtained from the Einstein-Dirac-Maxwell equations: no explicit count is given of how many free parameters survive after fixing the bare spinor mass to the Planck scale, enforcing regularity at the throat, and requiring asymptotic flatness with independent (M, Q) at each infinity. Without this accounting, the claim that the observed quantities can be matched to SM and Planck values simultaneously remains unverified.

    Authors: We agree that an explicit count of degrees of freedom would strengthen the presentation. The Einstein-Dirac-Maxwell system reduces to a set of coupled first-order ODEs. After fixing the bare mass to the Planck scale and imposing regularity at the throat (which sets the first derivatives of the metric functions and relates the spinor components), asymptotic flatness at both ends fixes the integration constants that correspond to the observed masses and charges. This leaves three adjustable parameters: the central value of the spinor amplitude together with the electric and magnetic field strengths at the throat. Within the domain where the spinor remains non-phantom, these parameters can be tuned to produce the desired separation of scales at the two ends, as illustrated by the explicit numerical examples already present in the manuscript. We will add a short subsection enumerating the constraints and the surviving free parameters in the revised version. revision: yes

Circularity Check

1 steps flagged

Asymptotic masses/charges obtained via free-parameter adjustment rather than independent derivation from equations

specific steps
  1. fitted input called prediction [Abstract]
    "It is shown that, by suitably adjusting the values of free system parameters, at one end of the wormhole, one can obtain the values of the observed mass and charge typical of the Standard Model particles, whereas at the other end of the wormhole these physical quantities acquire the Planck values."

    The observed mass and charge at each end are produced by choosing the free parameters so that the asymptotic values match the target SM and Planck scales. The 'result' is therefore the input choice itself, not an output computed from the field equations without reference to the desired numbers.

full rationale

The paper constructs explicit solutions to the reduced Einstein-Dirac-Maxwell ODE system for an asymmetric wormhole and demonstrates that suitable choices of the integration constants and bare parameters yield the target ADM mass and charge at each asymptotic end. This is a valid existence proof for a tuned model, but the central claim that one end reproduces Standard-Model values while the other reproduces Planck values is achieved by direct adjustment of those free parameters to the desired asymptotics. No independent, parameter-free prediction or first-principles derivation of the numerical values is provided; the matching is therefore by construction. The remainder of the derivation (regularity through the throat, non-phantom spinor, etc.) does not reduce to self-reference or prior self-citation in the supplied text, so the circularity is partial rather than total.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 2 invented entities

Based on the abstract, the model relies on several free parameters tuned to fit observations and ad hoc choices for the matter fields.

free parameters (1)
  • free system parameters
    Values adjusted to achieve Standard Model particle masses and charges at one end and Planck values at the other.
axioms (2)
  • domain assumption Einstein-Dirac-Maxwell theory governs the system
    The framework in which the wormhole solution is sought.
  • ad hoc to paper The spinor field is complex and non-phantom with bare mass of order Planck mass
    Provides nontrivial spacetime topology and intrinsic angular momentum.
invented entities (2)
  • asymmetric wormhole no independent evidence
    purpose: To connect two universes with different observed masses and charges
    The central postulated solution in the theory.
  • complex non-phantom spinor field no independent evidence
    purpose: To support the wormhole and provide angular momentum
    Introduced to achieve the desired properties.

pith-pipeline@v0.9.0 · 5460 in / 1735 out tokens · 49975 ms · 2026-05-17T03:12:17.374623+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. Resonant transmission of scalar waves through rotating traversable wormhole

    gr-qc 2026-05 unverdicted novelty 5.0

    Rotation enhances Breit-Wigner resonances in scalar wave transmission through Teo wormholes by trapping modes in the throat potential well.

Reference graph

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