The $a_0$ — cosmology connection in MOND. (arXiv:2001.09729v1 [astro-ph.GA])
<a href="http://arxiv.org/find/astro-ph/1/au:+Milgrom_M/0/1/0/all/0/1">Mordehai Milgrom</a>
I limelight and review a potentially crucial aspect of MOND: The near
equality of the MOND acceleration constant, $a_0$ — as deduced from local,
galactic phenomena — and cosmological parameters. To wit, $a_0sim c H_0sim
c^2Lambda^{1/2}sim c^2/ell_U$, where $H_0$ is the present value of the
Hubble-Lema^{i}tre constant, $Lambda$ is the `cosmological constant’, and
$ell_U$ is a cosmological characteristic length; e.g., the Hubble distance, or
the de Sitter radius associated with $Lambda$. 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’.
I limelight and review a potentially crucial aspect of MOND: The near
equality of the MOND acceleration constant, $a_0$ — as deduced from local,
galactic phenomena — and cosmological parameters. To wit, $a_0sim c H_0sim
c^2Lambda^{1/2}sim c^2/ell_U$, where $H_0$ is the present value of the
Hubble-Lema^{i}tre constant, $Lambda$ is the `cosmological constant’, and
$ell_U$ is a cosmological characteristic length; e.g., the Hubble distance, or
the de Sitter radius associated with $Lambda$. 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’.
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