This addendum reveals a geometric basis for the MOND acceleration scale a0 in galaxies, indicating a new theoretical insight.
Since 1983, Modified Newtonian Dynamics (MOND) has successfully described galactic rotation curves using a single empirical acceleration scale a₀ ≈ 1.2 × 10⁻¹⁰ m/s². Several authors have noted the suggestive proximity a₀ ~ c H₀, but its theoretical origin has remained an open question. In this Addendum II to the Model H framework, I report a potentially fundamental observation: a geometric parameter (δ = 0.00947), originally derived to address the Hubble tension, mathematically produces the MOND acceleration scale through the chain δ → H₀ → a₀. By applying the formula a₀ = c H₀ / 6, the model yields a value of 1.198 × 10⁻¹⁰ m/s². This reproduces the observed galactic acceleration to 0.2% with zero free parameters. The paper proposes a geometric interpretation for the factor 1/6, suggesting it corresponds to the number of independent deformation directions (± x, ± y, ± z) in a three-dimensional spacetime treated as a superfluid.
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Ivan Soprani (2026) studied this question.
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