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The $a_0$ -- cosmology connection in MOND

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arxiv 2001.09729 v1 pith:T36INTRF submitted 2020-01-27 astro-ph.GA gr-qchep-ph

classification astro-ph.GAgr-qchep-ph
keywords mondcosmologicalconstantlambdaaccelerationcoincidenceequalitylength
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abstract

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, $a_0\sim c H_0\sim c^2\Lambda^{1/2}\sim c^2/\ell_U$, 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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  1. Machian MOND: a variable $a_0$ in galaxy clusters

    physics.gen-ph 2026-08 conditional novelty 6.0 of 10

    A Machian MOND extension in which the acceleration scale a0 depends on exterior cluster mass reproduces, in toy models, the factor of a few boost needed to explain galaxy cluster mass discrepancies.

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