2016/12/30 by Mordehai Milgrom, Milgrom, Mordehai, R. H. Sanders +1
Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics of Galaxies (astro-ph.GA) #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.1612.09582
openalex publication_date 2016/12/30 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
We highlight phenomenological aspects of Verlinde's recent proposal to\naccount for the mass anomalies in galactic systems without dark matter -- in\nparticular in their relation to MOND. Welcome addition to the MOND lore as it\nis, this approach have reproduced, so far, only a small fraction of MOND\nphenomenology, and is still rather tentative, both in its theoretical\nfoundations and in its phenomenology. What Verlinde has extracted from this\napproach, so far, is a formula -- of rather limited applicability, and with no\nroad to generalization in sight -- for the effective gravitational field of a\nspherical, isolated, static baryonic system. This formula cannot be used to\ncalculate the gravitational field of disk galaxies, with their rich MOND\nphenomenology. Notably, it cannot predict their rotation curves, except\nasymptotically. It does not apply to the few-, or many-body problem; so, it\ncannot give, e.g., the two-body force between two galaxies, or be used to\nconduct N-body calculations of galaxy formation, evolution, and interactions.\nThe formula cannot be applied to the internal dynamics of a system embedded in\nan external field, where MOND predicts important consequences. etc. MOND is\nbacked by full-fledged, Lagrangian theories that can be, and are, routinely\napplied to all the above phenomena, and more. Verlinde's formula, as it now\nstands, strongly conflicts with solar-system and possibly earth-surface\nconstraints, and cannot fully account for the mass anomalies in the cores of\ngalaxy clusters (a standing conundrum in MOND). The recent weak-lensing test of\nthe formula is, in fact, testing a cornerstone prediction of MOND, one that the\nformula does reproduce, and which has been tested before in the very same way.\n