Inner row selection and the slope start radius change SPARC cusp exclusions under the tested expanded errors

A public SPARC test excluded spherical halos with nonincreasing radius times density in three galaxies after it allowed distance and inclination errors and added 5 km/s to speed errors in quadrature. We test which rows and radial conditions require those exclusions. We keep the prior selection of 141 galaxies and 2688 rows. Free nonnegative inner mass removes all three exclusions at an interval multiplier of three in both tested mass ranges. With listed errors and fixed geometry, exclusions fall from 16 to 6. The precision cut omits inner source rows in 98 of the 141 galaxies. We therefore restore all source rows for the three main targets. ESO563-G021 and IC4202 then fail the exterior slope test in both mass ranges; UGC11455 passes. We next keep all source rows but start the slope condition at the former first retained radius. ESO563-G021 passes in both mass ranges. IC4202 passes only in the wide range. The base-range IC4202 failure already follows from its minimum baryon force. Thus both row selection and the radial scope of the slope condition affect the exclusions. A separate control requires density to be nonincreasing everywhere and bounds the radial release of the slope condition. The tests do not establish NFW fits, true density profiles, or measured core radii. The package contains source data, code, figures, and 1058 exact fit or exclusion certificates.

SPARC · dark matter · rotation curves · cusp-core problem · inner boundary condition · linear programming · exact certificates

Admitted 2026-11-09 17:21 UTC2 citing publications

References

usesSixteen of 141 SPARC curves exclude the NFW halo family at three listed errors with fixed geometry and bounded masses sci:sha256:807ce8944814a5c0858e53ffeed42914a1ad7bcbb005bde08069204f4dd87ab5
We reuse its public data, code, selection, nuisance bounds, reference scores, and exact cusp-class certificates. We change the inner condition and add a physical transition test.
usesFour of 141 SPARC curves exclude spherical halos with density that does not increase at three listed errors with fixed geometry and bounded masses sci:sha256:6e6c8b7ae7a2a0b3aeeab8a398368b0acdd984893339dfa45adcb422ab771255
Its rational finite-shell method and physical audit form the basis of the code. Its decreasing-density class is the limiting physical control.
usesdoi:10.3847/0004-6256/152/6/157
SPARC source measurements, component mass models, distance, inclination, and quality data.
usesdoi:10.5281/zenodo.16284118
The unchanged source files match this versioned CC BY 4.0 data record.
doi:10.1086/304888
doi:10.1086/320262
doi:10.1086/496912
doi:10.1086/506177
doi:10.3847/1538-4365/ab700e

Cited by

2 publications

Public catalog entries on Sciscape.

NFW acceleration conditions exclude six more of 141 SPARC curves at three listed errors with fixed geometry and bounded baryon masses
This related audit shows that the three prior relaxed conflicts depend on inner mass and slope assumptions and on retained-row selection. We retain the original radial scope.
A single spherical NFW halo fails for 33 of 141 SPARC curves with bounded baryon masses at three listed errors and fixed geometry
Its related audit shows that the three earlier expanded conflicts depend on inner radial scope. We state this limit when interpreting the present exclusions.