This analysis derives the MOND acceleration scale in cosmology, suggesting a fundamental physical relationship.
We derive the MOND acceleration scale a₀ from first principles using only the cosmological critical density. The Zimmerman Formula states: a₀ = cH₀/5.79 = c√(Gρc)/2, where 5.79 = 2√(8π/3). This explains the long-standing "cosmic coincidence" (a₀ ≈ cH₀) as a necessary physical relationship rather than numerical accident. The formula predicts that a₀ evolves with redshift as a₀(z) = a₀(0)×√(Ωm(1+z)³ + ΩΛ), which is confirmed by JWST observations of high-redshift galaxies. Validated against 452 observational tests with 92% success rate. Provides testable predictions for wide binaries, Baryonic Tully-Fisher evolution, and structure formation.
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Zimmerman Carl (2026) studied this question.
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