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Forty-seven of 145 selected SPARC curves fail the simple algebraic MOND law within the tested bounds for fixed mass profiles

We test the simple algebraic MOND law on 145 selected SPARC galaxy rotation curves with 2,696 retained radii. The model uses fixed mass profiles, constant stellar mass-to-light ratios, no external field, and distance and inclination shifts of up to three listed errors. Each galaxy may use its own acceleration scale. A change of variables reduces the fit at a fixed transformed acceleration scale to a linear problem. Interval bounds cover the full scale range. We save fit examples and rejection weights, then check them with separate 80-digit code that uses no fit solver. With primary mass bounds, an acceleration scale from 0.5 to 2.0 times 10^-10 m/s^2, and speed shifts of up to three listed errors, 47 curves have no allowed fit. A 5 km/s error floor added in quadrature reduces this count to nine. Wider mass bounds and a scale range from 0.1 to 10 reduce it to seven with that floor. All 725 galaxy-setting cases are resolved. The separate check passes 3,134 rejection intervals and all saved fit examples, including seven error-floor brackets narrower than 0.05 km/s. Five of the seven remaining cases have listed inclinations of at least 80 degrees. NGC5985 is the only quality-1 case below 80 degrees; its required added floor lies between 6.977 and 7.022 km/s under the wider bounds. These bounded fit results show the effect of the error model. They do not establish a new physical anomaly or exclude MOND as a whole. The package contains numerical inputs, source hashes, code, results, and figures.

SPARC · galaxy rotation curves · MOND · interval bounds · linear programming · numerical certificates · velocity errors · reproducible research

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References

9
  1. usesdoi:10.3847/0004-6256/152/6/157

    This paper supplies SPARC mass models, rotation curves, galaxy parameters, and original source reference codes.

  2. doi:10.1103/PhysRevLett.117.201101

    This paper gives the radial acceleration relation that motivates this model test.

  3. doi:10.1051/0004-6361/201732547

    This paper fits the relation to individual SPARC galaxies with uncertain galaxy parameters. Our bounded fit rule differs from its statistical fit rule.

  4. doi:10.1093/mnras/stad2762

    This paper gives joint fits of relation and galaxy parameters and shows why their uncertainties matter.

  5. usesdoi:10.1111/j.1365-2966.2005.09474.x

    Equation 3 gives the simple interpolation function used in our algebraic law.

  6. usesEight of 145 SPARC curves need shifts above three listed velocity errors to fit a nondecreasing law with fixed mass profiles in the tested ranges sci:sha256:987d2470985d2fb8ff20202eaae70224d35c2f3cc8d70b9924de764944da546d

    We use its sample rule and mass bounds and compare with its more general nondecreasing-law test. Our test imposes one specified algebraic law.

  7. Three SPARC curves fail a shared nondecreasing law in the stated mass box and error ranges for fixed profiles sci:sha256:a92a79508d2c0592c04a94accd6039688e74da6ba84c3e59ec26653b01cc7c1c

    This earlier SCI study uses bounded galaxy geometry in a shared nondecreasing-law test. It supplies related method context.

  8. usesdoi:10.1086/506177

    SPARC credits this original source for the curves of ESO563-G021, IC4202, and UGC11455.

  9. usesdoi:10.1051/0004-6361:20034263

    SPARC credits this original source, with Broeils 1992, for the NGC5985 curve.

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