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February 19, 20260 citationsOpen Access

On the Possible Cosmological Evolution of the MOND Acceleration Scale

AFAustin Friedrich

Key Points

  • To investigate whether the MOND acceleration scale is influenced by cosmic horizon rather than being a fundamental constant.
  • Analyzed the relationship between the MOND acceleration scale and cosmic parameters.
  • Explored redshift scaling of the acceleration scale based on horizon thermodynamics.
  • Developed predictions for MOND acceleration at different redshifts, particularly z = 2.
  • Identified that MOND acceleration a₀ is close to cH₀/(2π), suggesting a mathematical relationship.
  • Predicted a threefold increase in a₀ at redshift z = 2.
  • Proposed that confirming this prediction could link galaxy dynamics to cosmic expansion.

Abstract

The MOND acceleration scale a₀ ≈ 1.2 × 10⁻¹⁰ m/s² is empirically required to fit galaxy rotation curves. We note that this value is numerically close to cH₀/(2π) ≈ 1.08 × 10⁻¹⁰ m/s², within observational uncertainties. Motivated by horizon thermodynamics, we explore the hypothesis that a₀ is not a fundamental constant but rather set by the cosmic horizon. Under this hypothesis, a₀(z) = cH(z)/(2π), predicting that a₀ should scale with the Hubble parameter. This yields an increase by a factor ∼3 at redshift z = 2, testable with JWST rotation curves of high-redshift galaxies. Confirmation would establish a link between galaxy dynamics and cosmic expansion.

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Cite This Study

Austin Friedrich (2026) studied this question.

synapsesocial.com/papers/6996a82decb39a600b3ee934https://doi.org/10.5281/zenodo.18657125
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