What question did this study set out to answer?

The report aims to extend the MEON R2 V50 master audit to evaluate various benchmark series and their performance against dark-matter halo models.

May 17, 2026Open Access

MEON R2 V50–R86: Extended Master Audit Report on SPARC Rotation Curves, π/16 One-Parameter Benchmarks, Halo Comparisons, and Chainmail Network Tension Tests

Key Points

The report aims to extend the MEON R2 V50 master audit to evaluate various benchmark series and their performance against dark-matter halo models.
Conducted tests on frozen MEON-L0/L1 models and geometrically derived torsion models.
Compared MEON variants to standard halo models using diagnostics like BIC and AIC.
Performed chainmail-network tension tests to analyze baryonic mass networks in galaxies.
MEON models do not replace flexible halo models across the SPARC sample, with halo models favored by BIC.
The π/16 MEON model shows significant improvements over fixed baryonic and RAR-like models, especially in low-mass systems.
Chainmail-network tests yielded negative results, indicating no improvement relative to the simpler π/16 baseline.

Abstract

This release extends the MEON R2 V50–R50 master audit to the R70–R86 benchmark series. The report documents a reproducible sequence of tests on SPARC rotation curves, including frozen MEON-L0/L1 models, globally calibrated variants, geometry-derived torsion models, one-parameter π/16 benchmarks, full halo comparisons, success-class diagnostics, and chainmail-network tension tests. The benchmark compares MEON variants against standard dark-matter halo models including NFW, Burkert, PISO, and Einasto, using BIC, AIC, chi-square, RMS residuals, win fractions, and model-summary diagnostics. The main empirical result is that fully frozen and purely geometry-derived MEON models do not replace flexible halo models across the full SPARC sample. Halo models remain favored globally by BIC. However, the one-parameter π/16 MEON model substantially improves over fixed baryonic and RAR-like baselines and identifies a reproducible success and near-miss class, especially among compact, low-mass, dwarf and late-type systems. The R84 success-class audit shows that this class is not random, but associated with specific galaxy regimes such as lower velocity scale, smaller radial extent, lower baryonic and dynamical mass proxies, and late-type morphology. The later chainmail-network and tip-taper tension tests explore whether the baryonic mass network of a galaxy can act as a deterministic radial tension field. These tests are reported honestly as negative or non-improving relative to the simpler one-parameter π/16 baseline. Thus, this release does not claim that MEON replaces dark matter as a universal curve-fitting model. Instead, it presents MEON as a structured, testable torsion-framework candidate whose π/16 one-parameter form shows localized empirical strength while full halo models remain statistically favored in global SPARC benchmarks. This record is intended as a reproducible technical audit package, including the master report, Colab code, output archives, CSV summaries, and benchmark ZIP files.

Read Full Paperexternally

AI से पूछें

Bookmark

View Full Paper