{
  "abstract": "Gallardo et al. [Phys. Rev. Lett. \\textbf{136}, 151002 (2026)] constrain the index of the force law $g\\propto r^{-n}$ with pairwise kinematic Sunyaev--Zeldovich measurements, $n=2.1\\pm0.3$, and exclude the deep-MOND value $n=1$ at $3.3σ$. The exclusion does not follow from their calculation. Their templates for $n\\neq2$ [their Eq.~(8)] raise the pair-averaged Newtonian acceleration to the power $n/2$, whereas the pair average of the pointwise law [their Eq.~(30) for deep MOND] is the average of the transformed field; the step that identifies the two attributes to the three-point function a correction that is of second order and not small. In a Gaussian linear field with linearly biased tracers, Gaussian integration by parts shows that the correctly averaged template is exactly proportional to the Newtonian one, with a constant that the analysis absorbs into the mean optical depth. Gaussian realizations with peak-selected tracers find the same proportionality to within 2\\% (0.5\\% for the fiducial selection), and refitting the data of the Letter with the resulting template gives $χ^2=20.1$--$20.2$, against $20.1$ for the Newtonian template and $33.8$ for Eq.~(8): in every controlled case examined the data do not discriminate between $n=1$ and $n=2$, and the $3.3σ$ exclusion, with the $10σ$ forecast that rescales it, rests on the order in which the average and the power were taken. What a self-consistent MOND cosmology predicts for this observable is a separate question, which the Letter does not address.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34437",
  "author_total": 1,
  "authors": [
    {
      "name": "Alessandro Melchiorri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/53dxzygnsc8pe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34437",
  "fulltext_url": null,
  "id": "53dxzygnsc8pe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34437",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.CO"
    ],
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      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7223881835",
  "pdf_url": "https://arxiv.org/pdf/2610.34437",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/53dxzygnsc8pe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34437",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34437"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    }
  ],
  "title": "Comment on \"Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev--Zeldovich Effect''",
  "title_text": "Comment on \"Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev--Zeldovich Effect''",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/53dxzygnsc8pe",
  "venue": "arXiv",
  "versions": []
}