The $a_0$ -- cosmology connection in MOND
Abstract
I limelight and review a potentially crucial aspect of MOND: The near equality of the MOND acceleration constant, -- as deduced from local, galactic phenomena -- and cosmological parameters. To wit, , where is the present value of the Hubble-Lema\^{i}tre constant, is the `cosmological constant', and is a cosmological characteristic length; e.g., the Hubble distance, or the de Sitter radius associated with . In itself, this near equality has some important phenomenological consequences, such as the impossibility of black holes, and of cosmological strong lensing, in the MOND regime. More importantly perhaps, this `coincidence' may be a pointer to the `FUNDAMOND' -- the more basic theory underlying MOND phenomenology. The manners in which such a relation emerges in existing, underlying scheme of MOND are also reviewed, interlaced with examples of similar relations in other physical systems, between apparently-fundamental velocity, length, and acceleration constants. Such analogies may point the way to explanation of the MOND `coincidence'.
Cite
@article{arxiv.2001.09729,
title = {The $a_0$ -- cosmology connection in MOND},
author = {Mordehai Milgrom},
journal= {arXiv preprint arXiv:2001.09729},
year = {2020}
}
Comments
10 pages, 4 figures, Based on a talk at `BonnGravity2019 -- The functioning of galaxies: challenges for Newtonian and Milgromian dynamics', Bonn, September 2019