Pith. sign in

REVIEW 2 cited by

The $a_0$ -- cosmology connection in MOND

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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

classification astro-ph.GAgr-qchep-ph
keywords mondcosmologicalconstantlambdaaccelerationcoincidenceequalitylength
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
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'.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Seesaw relation between the cosmological constant and the Higgs mass

    gr-qc 2024-12 reject novelty 3.0 of 10

    The paper suggests the Higgs mass is the geometric mean of the dark energy scale and the inflation scale, but the relation is fitted rather than independently derived.

Pith tools