{
  "abstract": "We present the analysis of a non-parametric estimator of the fuzzy (wave) dark matter (FDM) boson mass based on local hydrostatic equilibrium: the classical gravitational acceleration must be balanced by the gradient of the quantum potential of the Schrödinger-Poisson-Madelung system. We apply this condition, without assuming a soliton or any other parametric profile, to the non-parametric density and enclosed mass posteriors from pyGravSphere of the nine Milky Way dwarf spheroidal (dSph) galaxies. For each posterior realization we solve, in a least squares sense over a fixed radial window, for the boson mass that best balances the two terms, which yields a posterior distribution of mass for each galaxy. The per galaxy medians span $m\\sim(0.8$-$4.6)\\times10^{-20}\\,\\mathrm{eV}$, with Draco and Ursa Minor the lightest and Carina and Sextans the heaviest. A weighted mass estimate gives $m=(1.3\\pm3.5)\\times10^{-20}$ eV, dominated by Draco and Ursa Minor. We characterize the systematics in detail.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21722",
  "author_total": 2,
  "authors": [
    {
      "name": "Samrat Mitra"
    },
    {
      "name": "Koushik Dutta"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7a3c2npe4p1gy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21722",
  "fulltext_url": null,
  "id": "7a3c2npe4p1gy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21722",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.CO"
    ],
    [
      "openalex",
      "3106|Dark Matter and Cosmic Phenomena"
    ]
  ],
  "openalex": "W7222758066",
  "pdf_url": "https://arxiv.org/pdf/2610.21722",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7a3c2npe4p1gy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.21722",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21722"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    }
  ],
  "title": "Hydrostatic Equilibrium Constraints on the Fuzzy Dark Matter Mass from Dwarf Spheroidals: Method, Systematics, and Robustness",
  "title_text": "Hydrostatic Equilibrium Constraints on the Fuzzy Dark Matter Mass from Dwarf Spheroidals: Method, Systematics, and Robustness",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/7a3c2npe4p1gy",
  "venue": "arXiv",
  "versions": []
}