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
References
8- usesdoi:10.3847/0004-6256/152/6/157
We use public SPARC rotation curves, unit mass contributions, quality flags, inclinations, and original source codes.
- doi:10.1103/PhysRevLett.117.201101
This paper gives the empirical radial acceleration relation that motivates the order test.
- doi:10.3847/1538-4357/836/2/152
This paper gives prior SPARC sample cuts and the broader acceleration-relation context.
- doi:10.1051/0004-6361/201732547
This paper fits a specified acceleration relation with galaxy parameters. It motivates tests of parameter sensitivity.
- doi:10.48550/arXiv.1805.10706
This paper studies acceleration-track geometry before this study.
- doi:10.1093/mnras/stae819
This paper studies hooks and bends and identifies SPARC hooks. We do not claim that such features are new.
- usesdoi:10.1086/506177
SPARC attributes the ESO563-G021, IC4202, and UGC11455 rotation curves to this source.
- usesdoi:10.1086/527543
SPARC includes this source for the F568-3 and F583-1 curves used to show the joint-constraint effect.
Cited by
5 publicationsPublic catalog entries on Sciscape.
- usesFour of 141 SPARC curves exclude spherical halos with density that does not increase at three listed errors with fixed geometry and bounded masses
We use its mass ranges as benchmarks and comparable row cuts. We test spatial halo density with a new shell model. We use none of its code or fitted values.
- usesForty-seven of 145 selected SPARC curves fail the simple algebraic MOND law within the tested bounds for fixed mass profiles
We use its sample rule and mass bounds and compare with its more general nondecreasing-law test. Our test imposes one specified algebraic law.
- Sixteen of 141 SPARC curves exclude the NFW halo family at three listed errors with fixed geometry and bounded masses
This earlier acceleration-order study supplies the mass-box benchmark inherited through the halo study. Its tested relation is different.
- usesThree SPARC curves fail a shared nondecreasing law in the stated mass box and error ranges for fixed profiles
We use its data transcription, sample rules, mass box, and MIT code for single curves. We reproduce all 145 thresholds. We then test a shared law for the 137 curves that pass alone.
- usesTwo of 145 SPARC curves need extra speed changes above 10 percent to fit nondecreasing laws with fixed profiles and bounded masses at three error widths
We reuse its numerical SPARC transcription, selection, mass boxes, and interval-order method. We add extra fractional speed bounds and a conditional angle test.