Machian MOND: A variable a0 in galaxy clusters

2026/07/10 by Manuel Uruena Palomo, Manuel Urueña Palomo, Juan David Santander
Physics and Astronomy · #Acceleration #Astronomy and Astrophysical Research #Cosmological constant #Cosmology and Gravitation Theories #Dark matter #Galaxies: Formation, Evolution, Phenomena #Galaxy #Galaxy cluster #Galaxy rotation curve #Gravitation #Gravitational field #Modified Newtonian dynamics #Scalar field #physics.gen-ph

paper · pdf · doi:10.1142/s0218271826500434

published as Int.J.Mod.Phys.D (2026) S0218271826500434 · 18 pages, 2 figures, 4 graphs, 4 tables, published version in International Journal of Modern Physics D

openalex publication_date 2026/07/10 · openalex created_date 2026/07/11 · openalex updated_date 2026/07/24 · arxiv created 2026/08/05 · arxiv updated 2026/08/06

Abstract

Modified Newtonian Dynamics (MOND) generally resolves the need for dark matter in galaxy rotation curves introducing a single new constant of acceleration [Formula: see text]. It is well known that increasing [Formula: see text] by a factor of a few can alleviate the residual mass discrepancies that MOND leaves in galaxy clusters. Within a parameter-free Machian interpretation of MOND, in which [Formula: see text] arises from the scalar sum of inverse-square distance gravitational mass contributions in the universe, we promote [Formula: see text] to a variable influenced by mass external to a locally enclosed region in the spherically symmetric case. Instead of a boost of [Formula: see text] in terms of gravitational potentials as in EMOND, we show that a boost in terms of this directionless inverse-square field roughly amounts to the boost needed to accommodate the mass discrepancies of MOND in galaxy clusters. We conclude by beginning to generalize the proposed formulation beyond spherical symmetry.

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