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Low-acceleration space-time scale invariant dynamics (SID, Milgrom 2009a)predicts two fundamental correlations known from observational galacticdynamics: the baryonic Tully-Fisher relation (BTFR) and a correlation betweenthe observed mass discrepancy and acceleration (MDA) in the low accelerationregime for disc galaxies. SID corresponds to the deep MOdified NewtonianDynamics (MOND) limit. The MDA data emerging in cold/warm dark matter (C/WDM)cosmological simulations disagree significantly with the tight MDA correlationof the observed galaxies. Therefore, the most modern simulated disc galaxies,which are delicately selected to have a quiet merging history in a standarddark-matter-cosmological model, still do not represent the correct rotationcurves. Also, the observed tight correlation contradicts the postulatedstochastic formation of galaxies in low-mass DM halos. Moreover, we find thatSID predicts a baryonic to apparent virial halo (dark matter) mass relationwhich agrees well with the correlation deduced observationally assumingNewtonian dynamics to be valid, while the baryonic to halo mass relationpredicted from CDM models does not. The distribution of the observed ratios ofdark-matter halo masses to baryonic masses may be empirical evidence for theexternal field effect, which is predicted in SID as a consequence of the forcesacting between two galaxies depending on the position and mass of a thirdgalaxy. Applying the external field effect, we predict the masses of galaxiesin the proximity of the dwarf galaxies in the Miller et al. sample. Classicalnon-relativistic gravitational dynamics is thus best described as beingMilgromian, rather than Newtonian.

Galactic rotation curves, the baryon-to-dark-halo-mass relation and space-time scale invariance