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Eight of 145 SPARC curves need shifts above three listed velocity errors to fit a nondecreasing law with fixed mass profiles in the tested ranges

We test whether public SPARC rotation curves can follow any nondecreasing relation between baryonic and observed acceleration. Each galaxy can use its own function and its own constant mass values. The tabulated mass profile shapes stay fixed. We define T as the smallest maximum velocity change in units of the listed errors. The baseline ranges are gas scale 0.8 to 1.2, disk mass-to-light ratio 0.2 to 0.8, and bulge ratio 0.3 to 1.0, in solar units at 3.6 micrometres. Interval order constraints reduce the mass search to polygon clipping. The baseline sample has 145 galaxies and 2,696 points. Eight curves have T above 3. Joint radius constraints give stronger bounds than any mass-independent pair in six galaxies. For F568-3, the pair bound is 0.126 and the joint bound is 1.207. A combined test adds 5 km/s in quadrature, removes the innermost retained point, and keeps inclination below 80 degrees. None of its 114 galaxies has T above 3. Rational mass geometry, 60-digit event calculations, independent linear programs, and constructed fits pass for all 1,189 galaxy/test cases. The package supplies numerical source facts, source hashes, code, results, figures, and reproduction steps. T is a deterministic interval multiplier, not a statistical significance. The bounds do not account for changes in profile geometry, radial mass gradients, or a full model of measurement systematics. They do not establish a new physical anomaly.

SPARC · galaxy rotation curves · radial acceleration relation · order constraints · reproducible astronomy · mass models

Admitted 5 citing publications

References

8
  1. usesdoi:10.3847/0004-6256/152/6/157

    We use public SPARC rotation curves, unit mass contributions, quality flags, inclinations, and original source codes.

  2. doi:10.1103/PhysRevLett.117.201101

    This paper gives the empirical radial acceleration relation that motivates the order test.

  3. doi:10.3847/1538-4357/836/2/152

    This paper gives prior SPARC sample cuts and the broader acceleration-relation context.

  4. doi:10.1051/0004-6361/201732547

    This paper fits a specified acceleration relation with galaxy parameters. It motivates tests of parameter sensitivity.

  5. doi:10.48550/arXiv.1805.10706

    This paper studies acceleration-track geometry before this study.

  6. doi:10.1093/mnras/stae819

    This paper studies hooks and bends and identifies SPARC hooks. We do not claim that such features are new.

  7. usesdoi:10.1086/506177

    SPARC attributes the ESO563-G021, IC4202, and UGC11455 rotation curves to this source.

  8. usesdoi:10.1086/527543

    SPARC includes this source for the F568-3 and F583-1 curves used to show the joint-constraint effect.

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