CDN-268: The Mass Floor -- NFW Dark Matter Halos in the Modified Jeans Equation for Dwarf Spheroidals

Tests whether NFW dark-matter halos added to the MOND-like modified Jeans equation can reconcile all 22 dSph velocity dispersions. GCFT+NFW recovers 19/22 within 20% (3 failures are grid-resolution misses). The headline result: GCFT requires ~100x less dark matter than LCDM at dSph scale (geometric mean M200 ratio = 0.01). Fornax and Leo I need zero DM halo -- the coherence field's MOND-like boost alone reproduces their observed dispersions, while LCDM requires halos of ~10^8-9 M_sun for these same systems. Three regimes emerge: no-DM classicals (Fornax, Leo I), modest halos at 10^6-7 M_sun (Sculptor, Carina, Leo II), and DM-dominated ultrafaints at 10^7-8 M_sun (still 50-100x less than LCDM). Results are concentration-insensitive (8/8 classicals at c=10-30). The dSph arc (CDN-256-268) is resolved: GCFT coexists with dark matter, modifying its dynamical signature rather than replacing it. Pre-registers CDN-269 for synthesis and Fornax/Leo I cross-check.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-17
DOI
https://doi.org/10.5281/zenodo.20727628
Primary Topic
Dark Matter and Cosmic Phenomena
Type
article
Field-Weighted Citation Impact
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article

CDN-268: The Mass Floor -- NFW Dark Matter Halos in the Modified Jeans Equation for Dwarf Spheroidals

Nicky Joseph Hubertus Catharina Hacquier
Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
article

CDN-268: The Mass Floor -- NFW Dark Matter Halos in the Modified Jeans Equation for Dwarf Spheroidals

Nicky Joseph Hubertus Catharina Hacquier
article en

Abstract

Tests whether NFW dark-matter halos added to the MOND-like modified Jeans equation can reconcile all 22 dSph velocity dispersions. GCFT+NFW recovers 19/22 within 20% (3 failures are grid-resolution misses). The headline result: GCFT requires ~100x less dark matter than LCDM at dSph scale (geometric mean M200 ratio = 0.01). Fornax and Leo I need zero DM halo -- the coherence field's MOND-like boost alone reproduces their observed dispersions, while LCDM requires halos of ~10^8-9 M_sun for these same systems. Three regimes emerge: no-DM classicals (Fornax, Leo I), modest halos at 10^6-7 M_sun (Sculptor, Carina, Leo II), and DM-dominated ultrafaints at 10^7-8 M_sun (still 50-100x less than LCDM). Results are concentration-insensitive (8/8 classicals at c=10-30). The dSph arc (CDN-256-268) is resolved: GCFT coexists with dark matter, modifying its dynamical signature rather than replacing it. Pre-registers CDN-269 for synthesis and Fornax/Leo I cross-check.

Zenodo (CERN European Organization for Nuclear Research)
Dynamique du noyau (FR)
Openalex Percentile: Top 7%
Dark Matter and Cosmic Phenomena
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