Recognition: unknown
GW231123: False Massive Graviton Signatures from Unmodeled Point-Mass Lensing
Pith reviewed 2026-05-10 17:08 UTC · model grok-4.3
The pith
Unmodeled point-mass lensing produces a spurious massive-graviton signal in the GW231123 data.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
In the real GW231123 data, an unlensed IMRPhenomXPHM analysis yields an apparent nonzero graviton mass posterior. We show that this anomaly is naturally explained by unmodeled point-mass lensing: once lensing is included, the apparent graviton mass signal disappears. In GW231123-like injection-recovery tests, a lensed NRSur7dq4 signal with zero graviton mass, recovered with the same unlensed IMRPhenomXPHM template, produces a similarly pronounced spurious graviton mass posterior, whereas lensing-included analyses with IMRPhenomXPHM, IMRPhenomXO4a, and NRSur7dq4 remain mutually consistent with no evidence for nonzero graviton mass. The similarity between the injected and real data posteriors.
What carries the argument
The injection-recovery comparison showing that a point-mass lensed zero-graviton-mass waveform recovered with an unlensed template produces the same biased graviton mass posterior as the real data.
If this is right
- Including lensing in the analysis eliminates the apparent graviton mass signal.
- Lensing-included recoveries with different waveform models are consistent with zero graviton mass.
- Unmodeled lensing can mimic the effects of modified gravitational wave propagation.
- This provides a concrete failure mode for propagation-based tests of gravity on lensed candidates.
Where Pith is reading between the lines
- Analyses of future strong-lensing candidates should jointly fit for lensing and modified-gravity parameters to avoid similar misinterpretations.
- The same bias could appear in other propagation tests such as those for the speed of gravity if lensing is ignored.
- Routine inclusion of point-mass lensing templates in parameter estimation pipelines would reduce false positives in gravity tests.
Load-bearing premise
The lensed NRSur7dq4 injection with zero graviton mass produces a posterior similar enough to the real data when recovered unlensed with IMRPhenomXPHM.
What would settle it
A substantial mismatch between the graviton mass posterior from the real GW231123 data and the posterior from recovering a lensed zero-mass NRSur7dq4 injection with the unlensed IMRPhenomXPHM template would falsify the explanation.
Figures
read the original abstract
GW231123 is the strongest current candidate for a lensed gravitational wave event and a unique case for testing how point-mass lensing affects propagation-based tests of gravity. In the real GW231123 data, an unlensed IMRPhenomXPHM analysis yields an apparent nonzero graviton mass posterior. We show that this anomaly is naturally explained by unmodeled point-mass lensing: once lensing is included, the apparent graviton mass signal disappears. In GW231123-like injection-recovery tests, a lensed NRSur7dq4 signal with zero graviton mass, recovered with the same unlensed IMRPhenomXPHM template, produces a similarly pronounced spurious graviton mass posterior, whereas lensing-included analyses with IMRPhenomXPHM, IMRPhenomXO4a, and NRSur7dq4 remain mutually consistent with no evidence for nonzero graviton mass. The similarity between the injected and real data posteriors shows that unmodeled point-mass lensing can mimic modified gravitational wave propagation. These results identify a concrete failure mode in tests of gravity and strengthen the interpretation of GW231123 as a lensed candidate.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper claims that the apparent nonzero graviton mass posterior obtained from an unlensed IMRPhenomXPHM analysis of the GW231123 event is an artifact induced by unmodeled point-mass lensing. Injection-recovery tests are presented in which a lensed NRSur7dq4 signal (true m_g = 0) recovered with the same unlensed IMRPhenomXPHM template produces a comparably pronounced spurious graviton-mass posterior, while analyses that include lensing (using IMRPhenomXPHM, IMRPhenomXO4a, or NRSur7dq4) remain consistent with zero graviton mass. The similarity of the injected and real-data posteriors is used to argue that unmodeled lensing can mimic modified gravitational-wave propagation.
Significance. If the central claim holds, the work identifies a concrete and previously under-appreciated failure mode in propagation-based tests of gravity with gravitational waves: unmodeled point-mass lensing can induce spurious signals that mimic a massive graviton. The controlled injection tests with known zero graviton mass provide an independent grounding that strengthens the interpretation of GW231123 as a lensed candidate and supplies a cautionary example for future analyses of strong-lensing candidates.
major comments (1)
- The load-bearing step is the asserted quantitative similarity between the spurious graviton-mass posterior recovered from the lensed NRSur7dq4 injection (unlensed IMRPhenomXPHM) and the posterior obtained from the real GW231123 data. The manuscript describes this as 'similarly pronounced' but does not report overlap integrals, Jensen-Shannon divergence, or direct numerical comparison of medians and credible-interval widths. Without such metrics it remains possible that waveform-model mismatch between NRSur7dq4 and IMRPhenomXPHM, rather than lensing, dominates the bias.
minor comments (1)
- The abstract and results sections should explicitly state the prior ranges and sampling settings used for the graviton-mass parameter in all recovery runs to allow direct reproduction of the reported posteriors.
Simulated Author's Rebuttal
We thank the referee for their constructive review and for recognizing the significance of our results. We address the single major comment below.
read point-by-point responses
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Referee: The load-bearing step is the asserted quantitative similarity between the spurious graviton-mass posterior recovered from the lensed NRSur7dq4 injection (unlensed IMRPhenomXPHM) and the posterior obtained from the real GW231123 data. The manuscript describes this as 'similarly pronounced' but does not report overlap integrals, Jensen-Shannon divergence, or direct numerical comparison of medians and credible-interval widths. Without such metrics it remains possible that waveform-model mismatch between NRSur7dq4 and IMRPhenomXPHM, rather than lensing, dominates the bias.
Authors: We agree that the current manuscript presents the similarity between the real-data and injection posteriors only qualitatively. In the revised version we will add quantitative metrics: the medians and 90% credible intervals for the graviton-mass parameter in both cases, together with the Jensen-Shannon divergence between the two one-dimensional posteriors. These additions will appear in the text and in an updated version of the relevant figure. We also note that the recovery template (IMRPhenomXPHM) is identical for the real data and the injection, and that the bias disappears when lensing is modeled with the same waveform family; this isolates the effect to unmodeled lensing rather than model mismatch alone. revision: yes
Circularity Check
No circularity; injection-recovery tests provide independent grounding for the lensing explanation.
full rationale
The paper's central claim rests on controlled injections of lensed NRSur7dq4 signals (true m_g=0) recovered with unlensed IMRPhenomXPHM, which produce a spurious graviton-mass posterior qualitatively similar to the real GW231123 data. This is a standard simulation-based demonstration rather than any self-definitional loop, fitted parameter renamed as prediction, or load-bearing self-citation. The derivation chain compares external data posteriors against known-truth injections and does not reduce the result to its own inputs by construction. No enumerated circularity patterns are present.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Waveform models such as IMRPhenomXPHM and NRSur7dq4 accurately represent the gravitational wave signals under point-mass lensing.
Forward citations
Cited by 1 Pith paper
-
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Reference graph
Works this paper leans on
- [1]
-
[2]
Abbottet al.(LIGO Scientific, VIRGO), Astrophys
R. Abbottet al.(LIGO Scientific, VIRGO), Astrophys. J.923, 14 (2021), arXiv:2105.06384 [gr-qc]
-
[3]
Abbottet al.(LIGO Scientific, KAGRA, VIRGO), Astrophys
R. Abbottet al.(LIGO Scientific, KAGRA, VIRGO), Astrophys. J.970, 191 (2024), arXiv:2304.08393 [gr-qc]
-
[4]
J. Janquartet al., Mon. Not. Roy. Astron. Soc.526, 3832 (2023), arXiv:2306.03827 [gr-qc]
-
[5]
A. Chakraborty and S. Mukherjee, Astrophys. J.990, 68 (2025), arXiv:2503.16281 [gr-qc]
- [6]
- [7]
- [8]
-
[9]
J. Janquart, O. A. Hannuksela, H. K., and C. Van Den Broeck, Mon. Not. Roy. Astron. Soc.506, 5430 (2021), arXiv:2105.04536 [gr-qc]
- [10]
- [11]
-
[12]
Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves
S. Mirshekari, N. Yunes, and C. M. Will, Phys. Rev. D 85, 024041 (2012), arXiv:1110.2720 [gr-qc]
work page Pith review arXiv 2012
-
[13]
LIGO Scientific Collaboration and Virgo Collaboration, Phys. Rev. Lett.116, 221101 (2016), arXiv:1602.03841 [gr-qc]
work page Pith review arXiv 2016
-
[14]
LIGO Scientific Collaboration and Virgo Collaboration, Phys. Rev. D100, 104036 (2019), arXiv:1903.04467 [gr- qc]
work page internal anchor Pith review arXiv 2019
-
[15]
LIGO Scientific Collaboration and Virgo Collaboration, Phys. Rev. D103, 122002 (2021), arXiv:2010.14529 [gr- qc]
work page internal anchor Pith review arXiv 2021
-
[16]
LIGO Scientific Collaboration, Virgo Collaboration, and 6 KAGRA Collaboration, Phys. Rev. D108, 122004 (2023), arXiv:2112.06861 [gr-qc]
work page internal anchor Pith review arXiv 2023
- [17]
-
[18]
G. Prattenet al., Phys. Rev. D103, 104056 (2021), arXiv:2004.06503 [gr-qc]
work page internal anchor Pith review arXiv 2021
- [19]
- [20]
- [22]
-
[23]
P. Christian, S. Vitale, and A. Loeb, Phys. Rev. D98, 103022 (2018), arXiv:1802.02586 [astro-ph.HE]
- [24]
- [25]
- [26]
-
[27]
M. Grespan and M. Biesiada, Universe9, 200 (2023), arXiv:2304.01914 [astro-ph.CO]
-
[28]
T. T. Nakamura, Phys. Rev. Lett.80, 1138 (1998)
1998
-
[29]
T. T. Nakamura and S. Deguchi, Prog. Theor. Phys. Suppl.133, 137 (1999)
1999
-
[30]
R. Takahashi and T. Nakamura, Astrophys. J.595, 1039 (2003), arXiv:astro-ph/0305055
- [31]
-
[32]
GWMAT: Gravitational Wave Microlensing Analysis Tools,
A. Mishra, “GWMAT: Gravitational Wave Microlensing Analysis Tools,” (2022),https://git.ligo.org/anuj. mishra/gwmat
2022
- [33]
- [34]
- [35]
-
[36]
Skilling, inBayesian Inference and Maximum Entropy Methods in Science and Engineering, Vol
J. Skilling, inBayesian Inference and Maximum Entropy Methods in Science and Engineering, Vol. 735 (2004) pp. 395–405
2004
-
[37]
C. M. Biwer, C. D. Capano, S. De, M. Cabero, D. A. Brown, A. H. Nitz, and V. Raymond, Publ. Astron. Soc. Pac.131, 024503 (2019), arXiv:1807.10312 [astro-ph.IM]
work page Pith review arXiv 2019
-
[38]
J. S. Speagle, Mon. Not. R. Astron. Soc.493, 3132 (2020), arXiv:1904.02180 [astro-ph.IM]
work page internal anchor Pith review arXiv 2020
-
[39]
Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
G. Ashton, M. H¨ ubner, P. D. Lasky, C. Talbot, K. Ackley, S. Biscoveanu, Q. Chu, A. Divakarla, P. J. Easter, B. Goncharov, F. Hernandez Vivanco, J. Harms, M. E. Lower, G. D. Meadors, D. Melchor, E. Payne, M. D. Pitkin, J. Powell, N. Sarin, R. J. E. Smith, and E. Thrane, Astrophys. J. Suppl.241, 27 (2019), arXiv:1811.02042 [astro-ph.IM]
work page internal anchor Pith review arXiv 2019
- [40]
- [41]
-
[42]
B. P. Abbottet al., inProceedings of Science, PoS, Vol. GRASS2018 (2020) p. 082
2020
discussion (0)
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