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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Cosmological Evolution of the MOND Acceleration Scale in Substrate Theory

Authors: Reed, Justin;

The Cosmological Evolution of the MOND Acceleration Scale in Substrate Theory

Abstract

Substrate theory distinguishes an infinite, non-gravitating equilibrium substrate (F1) from the finite, observed, perturbed region (F2) bounded by the distance time quanta have propagated since the Big Bang, RH = c/H₀. We show that this single structural feature yields two independent results from the same horizon: the MOND acceleration scale a₀ = cH₀/2π ≈ (1.04–1.13)×10⁻¹⁰ m s⁻², arising when the inertial response length c²/a exceeds the horizon mode; and the dark-energy density ρDE ~ MP²H₀², arising because only the finite F2 gravitates and its energy is holographically bounded — closing the 122-order-of-magnitude cosmological-constant gap. Because both scales are set by the horizon, a₀ must evolve: a₀(z) = cH(z)/2π. We derive this prediction, the implied radial-acceleration-relation (RAR) lift and baryonic Tully–Fisher (bTFR) zero-point shift, and confront them with SPARC, MIGHTEE-HI, and MUSE-DARK III. The data confirm that a₀ rises with redshift (~30σ) — a signature unique to the substrate among live options. A direct shape test of all public a₀(z) measurements finds the substrate’s H(z) scaling consistent with the data (free-exponent fit a₀ ∝ H^{0.78±0.15}, with H¹ acceptable at p-value 0.30); the residual tension is in amplitude rather than shape, and is comparable to the systematic offset between the z≈ 0 and intermediate-z surveys. We further show that wide-binary tests, contrary to common framing, neither support nor exclude the framework: the substrate's modified-inertia external-field-effect boost is degenerate with modified gravity at leading order, and the reported 36-binary anomaly is modeling-dependent (γ = 1.12–1.60). The framework's discriminating power is cosmological, and the parameter-free, normalization-independent bTFR zero-point shift is its cleanest near-term test.

Keywords

Quantum physics, Physical cosmology, Astrophysics, Theoretical physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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