What question did this study set out to answer?

The research aims to explain the MOND acceleration scale a_0 through cosmic horizon boundary conditions and a scalar field.

April 17, 2026Open Access

A Covariant Scalar-Field Foundation for the Cosmological Scaling of a₀

Puntos clave

The research aims to explain the MOND acceleration scale a_0 through cosmic horizon boundary conditions and a scalar field.
Derived a dynamic expression for the MOND acceleration scale a_0(z) based on cosmic horizon conditions.
Anchored the coupling parameter B6 to first principles with a tracking scalar field.
Unified internal and external field effects under a single informational drag parameter.
Established a relation a_0(z) = B6cH(z) with B6 approximately 0.049 and B1 approximately 0.0555.
Predicted kinematic evolution aligned with the observed high-redshift stability ratio v/C3 approximately 6.0.
Generated a falsifiable prediction for V_{flat} proportional to H(z)^{1/4}, ensuring mass-velocity-size consistency.

Resumen

We derive the MOND acceleration scale a₀ as a dynamic consequence of cosmic horizon boundary conditions, a₀ (z) = c H (z). We demonstrate that the universal coupling 0. 049 is anchored to first principles via a tracking scalar field with slope 0. 0555, determined by the comoving Hubble-radius-to-sound-horizon ratio at recombination. We resolve observed scatter in by unifying internal and external field effects (EFE) under a single informational drag parameter and provide kinematic evolution predictions consistent with the high-redshift v/ 6. 0 stability ratio. A key falsifiable prediction is the V₅₋₀ₓ H (z) ^1/4 scaling, which preserves a redshift-invariant mass-velocity-size manifold.

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Philip Handley

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A Covariant Scalar-Field Foundation for the Cosmological Scaling of a₀

Puntos clave

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