MOND laws of galactic dynamics

Abstract

MOND predicts a number of laws that galactic systems should obey irrespective of their complicated, haphazard, and mostly unknowable histories -- as Kepler's laws are obeyed by planetary systems. The main purpose of this work is to show how, and to what extent, these MOND laws follow from only the paradigm's basic tenets: departure from standard dynamics at accelerations a<~a0, and space-time scale invariance in the limit a<<a0. Such predictions will be shared by all MOND theories that embody these premises. This is important because we do not know which of the existing MOND theories, if any, is a step in the right direction. In the Newtonian-dynamics-plus-dark-matter paradigm, the validity of such clear-cut laws -- which tightly constrain baryons, `dark matter', and their mutual relations -- is contrary to expectations.

25 pages, Material changes regarding space-time-scale-, and space-dilatation-invariance, and the deep-MOND limit. Version to be published in the Monthly Notices of the Royal Astronomical Society

References in corpus (14)

• Avoiding Dark Energy with 1/R Modifications of Gravity
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• Evolution of spiral galaxies in modified gravity
• Andromeda Dwarfs in Light of MOND. II. Testing Prior Predictions
• Milky Way potentials in CDM and MOND. Is the Large Magellanic Cloud on a bound orbit?
• Andromeda Dwarfs in Light of MOND
• Rings and shells of "dark matter" as MOND artifacts
• Testing the MOND Paradigm of Modified Dynamics with Galaxy-Galaxy Gravitational Lensing
• Testing MOND Over a Wide Acceleration Range in X-Ray Ellipticals
• Polar ring galaxies as tests of gravity
• Unifying all mass discrepancies with one effective gravity law?
• Modified Newtonian Dynamics, an Introductory Review
• General virial theorem for modified-gravity MOND
• Global Deep-MOND Parameter as a Theory Discriminant

Cited by in corpus (62)

• Emergent Gravity and the Dark Universe
• Sterile Neutrino Dark Matter
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• MOND theory
• Galactic rotation curves, the baryon-to-dark-halo-mass relation and space-time scale invariance
• Predictions and Outcomes for the Dynamics of Rotating Galaxies
• Probing the Early Universe with Axion Physics and Gravitational Waves
• MOND simulation suggests the origin of some peculiarities in the Local Group
• Universal MOND relation between the baryonic and `dynamical' central surface densities of disc galaxies
• Effective Fluid Description of the Dark Universe
• MOND vs. dark matter in light of historical parallels
• The Milky Way Tomography with SDSS. V. Mapping the Dark Matter Halo
• MOND Prediction for the Velocity Dispersion of the `Feeble Giant' Crater II
• The Third Law of Galactic Rotation
• Dark matter in galaxies
• MOND in galaxy groups: a superior sample
• Noncovariance at low accelerations as a route to MOND
• Testing modified Newtonian dynamics in the Milky Way
• Cosmological variation of the MOND constant: secular effects on galactic systems
• Models of modified-inertia formulation of MOND
• Numerical Solutions of the External Field Effect on the Radial Acceleration in Disk Galaxies
• Probing the radial acceleration relation and the strong equivalence principle with the Coma cluster ultra-diffuse galaxies
• Gravitational waves in bimetric MOND
• The Hydra I cluster core - II. Kinematic complexity in a rising velocity dispersion profile around the cD galaxy NGC 3311
• General virial theorem for modified-gravity MOND
• Scale-Invariant Dynamics of Galaxies, MOND, Dark Matter, and the Dwarf Spheroidals
• Searching for a cosmological preferred direction with 147 rotationally supported galaxies
• Tripotential MOND theories
• Mond - a review
• Study of gravitational fields and globular cluster systems of early-type galaxies
• Tests For Maximum Force and Maximum Power
• The difficulty of measuring the local dark matter density
• Generalizations of Quasilinear MOND (QUMOND)
• The road to MOND--a novel perspective
• Searching for a possible dipole anisotropy on acceleration scale with 147 rotationally supported galaxies
• Discussing the first velocity dispersion profile of an ultra-diffuse galaxy in MOND
• MOND as a peculiar case of the SIV theory
• MOND in galaxy groups
• How Close Dark Matter Halos and MOND Are to Each Other: Three-Dimensional Tests Based on Gaia DR2
• Imprint of the galactic acceleration scale on globular cluster systems
• Towards an explanation of orbits in the extreme trans-Neptunian region: The effect of Milgromian dynamics
• A new scale in the quasi-static limit of Aether Scalar Tensor Theory
• MOND fiducial specific angular momentum of disc galaxies
• MOND implications for spectral line profiles of shell galaxies: shell formation history and mass-velocity scaling relations
• Central-surface-densities correlation in general MOND theories
• Broader view of bimetric MOND
• The $a_0$ -- cosmology connection in MOND
• Elucidating the Dark Energy and Dark Matter Phenomena Within the Scale-Invariant Vacuum (SIV) Paradigm
• Scale Invariance at low accelerations (aka MOND) and the dynamical anomalies in the Universe
• Finite symmetry groups in physics
• Potential applications of modular representation theory to quantum mechanics
• Dark matter effect attributed to the inherent structure of cosmic space
• Low-mass disc galaxies and the issue of stability: MOND vs dark matter
• Is MOND necessarily nonlinear?
• Peculiar dark matter halos inferred from gravitational lensing as a manifestation of modified gravity
• Central MONDian spike in spherically symmetric systems
• Searching for MOND in scalar-tensor theories of gravity
• The MOND phenomenology
• MOND and its bimetric formulation
• A Suggestion for MOND
• Possible uses of the binary icosahedral group in grand unified theories
• Bimetric MOND as a framework for variable-$G$ theories -- local systems and cosmology