Validation package evaluates modified gravity for galaxy rotation curves, suggesting potential for early-universe compatibility.
This archive contains the MEON v1.1 / MEON-R2 validation package, including code, numerical outputs, diagnostic plots, and theoretical notes for a modified-gravity field framework designed to address galaxy rotation curves and early-universe clustering requirements without introducing particle dark matter as a separate substance. The late-time MEON v1.1 sector is tested against 165 usable SPARC galaxy rotation curves using bounded per-galaxy stellar mass-to-light nuisance fits. In the fixed MEON v1.1 configuration, with q = 1.25 and e_ext = 0.01, the model reaches a global reduced chi-square of approximately 9.18, compared with approximately 10.10 for the Standard MOND benchmark and approximately 161.5 for a Newtonian baryons-only baseline in the same bounded-disk setup. These results indicate that the fixed MEON v1.1 weak-field response can reproduce galaxy-scale rotation data at least competitively with the MOND reference model under the adopted fitting assumptions. The archive also includes a MEON-R2 theoretical extension. MEON-R2 is formulated as a covariant two-regime ansatz containing a bubble/membrane tension field and a cold effective clustering condensate. The purpose of this extension is to explore whether a high-tension early-universe regime can generate an effective cold clustering sector with Omega_eff h^2 approximately 0.12, while relaxing to negligible late-time interference with the validated galaxy-scale MEON v1.1 regime. A CMB compatibility gate is included as a proxy test. The results show that a naive baryon-only early universe is strongly rejected by the Planck TT acoustic structure, while an effective cold clustering sector near Omega_eff h^2 = 0.12 reproduces the expected Planck-like acoustic behavior in a CAMB proxy implementation. This does not constitute a final first-principles CMB proof. A complete cosmological validation of MEON-R2 still requires a fully covariant action, linear perturbation equations, and implementation in a Boltzmann solver. Overall, this release should be read as an open, reproducible research package: MEON v1.1 is presented as a late-time weak-field galaxy-scale candidate, while MEON-R2 is presented as a mathematically explicit CMB-compatibility prototype requiring further theoretical development.
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Asil Karahan (2026) studied this question.
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