CDN-266: The Jeans Test — Modified Jeans Equation for Dwarf Spheroidals with RAR-Validated Interpolation
Year: 2026
Type: conference-abstract
Abstract: Solves the spherical isotropic Jeans equation for 22 MW dwarf spheroidals using the RAR-validated interpolation function ν(x) = 1/(1−exp(−√x)) from CDN-265. Plummer stellar profile with Abel projection to luminosity-weighted σ_los. Results: Jeans recovers 3/22 within 20% (Fornax 1.06, Leo I 0.99, Leo II 0.82) versus Wolf estimator 0/22. The Jeans integral improves every prediction by 10–15× over Wolf by accumulating ν-enhanced gravity over the full radial profile (effective boosts 6–139× in σ²). MOND simple and RAR ν produce identical σ_Jeans, confirming GCFT = MOND at dSph scale. Remaining gap is luminosity-correlated (1.3× for massive classicals to 57× for faint ultrafaints). The CDN-265 "two-sector" finding is reframed: substantially an estimator artefact, with the residual deficit matching the known MOND dSph problem (external field effect, tidal stripping, anisotropy). Pre-registers CDN-267 for MW external field effect and velocity anisotropy.
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7165020583
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