REVIEW
Can a Wormhole Induce a Monopole?
General Relativity and Quantum Cosmology · Submitted 25 Oct 2026 · 23 references
Pith's verdict: This paper cleanly kills the proposed DS periodic mass-shift signal around Sgr A* with three independent arguments; it is correct and deserves publication.
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Referee report
The paper
The paper claims
A wormhole cannot induce a periodic mass change across its throat.
The reading
What carries the argument
The argument rests on three independent constraints: (1) the worldtube flux-balance law for electric charge (Eq. 2), which makes the observer-end monopole constant without current crossing; (2) the linearized vacuum Einstein equation $\delta G^r_t = 2\dot{b}/r^2$, which forces $\dot{b}=0$ for the mass perturbation (Eq. 5); and (3) the Bondi mass-loss formula (Eq. 6), which prohibits an increase in the Bondi mass at future null infinity. These are each local or asymptotic constraints that do not require detailed throat physics.
Extended reading notes
Core claim
The central claim is that the periodic mass shift proposed by Dai and Stojkovic—arising from treating static solutions with different masses as successive states of an orbiting system—violates both charge conservation (in the Maxwell analogue) and the vacuum Einstein equations (both at first order and nonlinearly). The author demonstrates that the observer-side mass monopole is fixed by initial data, not instantaneous source position; the observer-end Bondi mass cannot increase; and the same conclusion extends to one-ended wormholes in the large-separation limit. Thus the proposed observational signature is absent.
Load-bearing premise
For the Bondi argument, the observer end must be vacuum and asymptotically flat near future null infinity; for the first-order argument, the background must be Schwarzschild and the source mass small.
Editorial extensions
If this is right
- The periodic $1/r^2$ acceleration proposed for Sgr A* star orbits cannot come from a wormhole mass monopole.
- The DS signal must be replaced by higher-multipole effects, primarily quadrupolar, which are suppressed by $(R/r)^2$ and roughly eight orders of magnitude weaker at S2's orbit.
- Searches for wormholes near Sgr A* should instead look for time-varying quadrupole or radiative mass loss, or for resonant excitation of long-lived wormhole modes.
- The Bondi no-increase result applies to any asymptotically flat vacuum wormhole end, regardless of the throat's supporting matter or dynamics.
Reading between the lines
- The no-monopole-change result may also apply to more exotic wormhole geometries, such as those with nontrivial topology or matter, as long as the observer end is vacuum and asymptotically flat.
- The quadrupolar suppression estimate suggests that direct gravitational-wave observations might be more promising than orbital perturbations for detecting wormholes, since quadrupole radiation is not as suppressed.
- The Linet-monopole analogy in the Maxwell case offers a clean test: any wormhole search based on equal asymptotic potentials must face the same conservation-law obstruction.
Original abstract
Could a star orbiting one mouth of a wormhole make the mass seen near the other rise and fall? We show that the periodic mass change proposed for searches around Sgr A* does not occur. The predicted signal comes from treating static solutions with different masses as successive states of the same orbiting system. In the Maxwell analogue, charge measured around a mouth changes only when current crosses the measuring surface. Similarly, in gravity, source motion cannot change the observed Schwarzschild mass at first order. Furthermore, the Bondi mass of a vacuum observer end cannot increase even beyond first order, though gravitational radiation can reduce it. The same observer-side dynamics can be reproduced with both mouths in one exterior at sufficiently large separation.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
Could a star orbiting one mouth of a wormhole make the mass seen near the other rise and fall? We show that the periodic mass change proposed for searches around Sgr A* does not occur. The predicted signal comes from treating static solutions with different masses as successive states of the same orbiting system. In the Maxwell analogue, charge measured around a mouth changes only when current crosses the measuring surface. Similarly, in gravity, source motion cannot change the observed Schwarzschild mass at first order. Furthermore, the Bondi mass of a vacuum observer end cannot increase even beyond first order, though gravitational radiation can reduce it. The same observer-side dynamics can be reproduced with both mouths in one exterior at sufficiently large separation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Could a star orbiting one mouth of a wormhole make the mass seen near the other rise and fall? | background 0.97 | 0.04 | 0.03 | hedged possibility 0.94 |
| s1 | We show that the periodic mass change proposed for searches around Sgr A* does not occur. | result 1.00 | 0.93 | 0.92 | asserted 1.00 |
| s2 | The predicted signal comes from treating static solutions with different masses as successive states of the same orbiting system. | interpretation 0.89 | 0.32 | 0.11 | asserted 0.99 |
| s3 | In the Maxwell analogue, charge measured around a mouth changes only when current crosses the measuring surface. | interpretation 0.41 | 0.21 | 0.05 | asserted 1.00 |
| s4 | Similarly, in gravity, source motion cannot change the observed Schwarzschild mass at first order. | result 0.72 | 0.63 | 0.27 | asserted 0.99 |
| s5 | Furthermore, the Bondi mass of a vacuum observer end cannot increase even beyond first order, though gravitational radiation can reduce it. | result 0.98 | 0.63 | 0.15 | asserted 0.99 |
| s6 | The same observer-side dynamics can be reproduced with both mouths in one exterior at sufficiently large separation. | result 0.67 | 0.71 | 0.06 | asserted 0.75 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
Figures
Figures reproduced from arXiv:2610.35969 by the authors.
References
Discussion
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