What question did this study set out to answer?

This research aims to establish a framework that correlates galactic acceleration with dark energy density, providing predictions about its evolution over cosmic time.

June 19, 2026Open Access

Dark Energy Sets the Galaxy Acceleration Scale: A Parameter-Free a0(z) Test LCDM Cannot Take

Key Points

This research aims to establish a framework that correlates galactic acceleration with dark energy density, providing predictions about its evolution over cosmic time.
Analyzes the relationship between dark energy density and galactic acceleration using a parameter-free model.
Utilizes data from DESI DR2 to observe evolution of the dark energy equation of state.
Identifies potential tests for the framework's predictions against existing cosmological models.
Predicts a +6% increase in the acceleration scale a0(z) at z ~ 0.41 and a decline to approximately 74% of the current value by z=3.
Estimates rotation velocities 0.033 dex below the local baryonic Tully-Fisher relation at high redshift.
Introduces a falsification test for LCDM models that cannot adapt to an evolving acceleration scale.

Abstract

The de Sitter-MOND framework ties the galactic acceleration scale to the dark-energy density, a0 = c² sqrt (Lambda/32pi) = (c/2) sqrt (G rhoDE). Promoted across cosmic time this becomes a parameter-free SHAPE prediction, a0 (z) /a0 (0) = sqrt (rhoDE (z) /rhoDE (0) ) -- both the coefficient and the MOND interpolation function cancel in the ratio, so the evolution of a0 is fixed entirely by the dark-energy equation of state w (z), with no remaining freedom. (The sqrt (rhoDE) scaling itself is not novel -- it appears in Limbach, Psaltis ELT/HARMONI clean multi-redshift tracking, early-mid 2030s). Kill conditions are stated explicitly. Honesty markers: the value a0 (0) is NOT derived (one free normalization kappa=1/2; only the shape is predicted) ; the w0wa inputs carry DESI's uncertainties and vary across SNe compilations; the covariant lensing sector remains phenomenological as in all relativistic-MOND theories. This is a falsifiable prediction of a gravity/dark-sector effective theory -- not a proven replacement for dark matter, and not a theory of everything yet, as frustrating as it may be.

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