MOND laws of galactic dynamics

  title={MOND laws of galactic dynamics},
  author={Mordehai Milgrom},
  journal={Monthly Notices of the Royal Astronomical Society},
  • M. Milgrom
  • Published 11 December 2012
  • Physics
  • Monthly Notices of the Royal Astronomical Society
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… 
The failures of the standard model of cosmology require a new paradigm
Cosmological models that invoke warm or cold dark matter cannot explain observed regularities in the properties of dwarf galaxies, their highly anisotropic spatial distributions, nor the correlation
The MOND phenomenology
The Lambda-CDM cosmological model is succesful at reproducing various independent sets of observations concerning the large-scale Universe. This model is however currently, and actually in principle,
MOND vs. dark matter in light of historical parallels
MOND is a paradigm that contends to account for the mass discrepancies in the Universe without invoking `dark' components, such as `dark matter' and `dark energy'. It does so by supplanting Newtonian
Noncovariance at low accelerations as a route to MOND
MOND has limelighted the fact that Newtonian dynamics and general relativity (GR) have not been verified to any accuracy at very low accelerations---at or below the MOND acceleration ${a}_{0}$:
A Suggestion for MOND
Modified Newtonian dynamics (Mond) has had considerable success in describing motions in galaxies. It uses a single force which falls off inversely with the distance at large distances and inversely
Scale Invariance at low accelerations (aka MOND) and the dynamical anomalies in the Universe
Galactic systems, and the Universe at large, exhibit large dynamical anomalies: The observed matter in them falls very short of providing enough gravity to account for their dynamics. The mainstream
The motion of test particles and cosmological interpretations: the role of MOND1
Throughout history, observations of the motions of objects in the Universe have provided the foundation for various cosmological models. In many cases, the invoked causes of the observed motion
A Philosophical Approach to MOND: Assessing the Milgromian Research Program in Cosmology
Dark matter is a fundamental component of the standard cosmological model, but in spite of four decades of increasingly sensitive searches, no-one has yet detected a single dark-matter particle in
Galaxy interactions: dark matter vs. Modified Newtonian dynamics (MOND)
(doctoral thesis of Michal Bilek, finished on June 19, 2015) MOND is an observational rule for predicting the acceleration of stars and galaxies from the distribution of the visible matter. It
Central MONDian spike in spherically symmetric systems
Under a MONDian view, astrophysical systems are expected to follow Newtonian dynamics whenever the local acceleration is above the critical $a_{0}=1.2 \times 10^{-10} m s^{-2}$, and enter a modified


The MOND paradigm
I review briefly different aspects of the MOND paradigm, with emphasis on phenomenology, epitomized here by many MOND laws of galactic motion--analogous to Kepler's laws of planetary motion. I then
Dynamics with a Nonstandard Inertia-Acceleration Relation: An Alternative to Dark Matter in Galactic Systems
Abstract We investigate particle dynamics that is governed by a nonstandard kinetic action of a special form. We are guided by a phenomenological scheme-the modified dynamics (MOND)-that imputes the
Relativistic gravitation theory for the MOND paradigm
The modified newtonian dynamics (MOND) paradigm of Milgrom can boast of a number of successful predictions regarding galactic dynamics; these are made without the assumption that dark matter plays a
Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
It is shown that many of these puzzling observations are predicted by one single relation — Milgrom’s law — involving an acceleration constant a0 on the order of the square-root of the cosmological constant in natural units.
Modified Newtonian Dynamics, an Introductory Review
By the time, in 1937, the Swiss astronomer Zwicky measured the velocity dispersion of the Coma cluster of galaxies, astronomers somehow got acquainted with the idea that the universe is filled by
The stability of cold, flattened, self-gravitating disks obeying other than Newtonian force laws
Three proposed non-Newtonian dynamical theories seem to explain 'naturally' the flat rotation curves of spiral galaxies without assuming the existence of a massive but nonluminous 'dark halo'
The Mond Limit from Spacetime Scale Invariance
The modified Newtonian dynamics (MOND) limit is shown to follow from a requirement of spacetime scale invariance of the equations of motion for nonrelativistic, purely gravitational systems, i.e.,
MOND--particularly as modified inertia
After a succinct review of the MOND paradigm--with its phenomenology, and its various underlying theories--I concentrate on so called modified inertia (MI) formulations of MOND, which have so far
The Modified Newtonian Dynamics Predicts an Absolute Maximum to the Acceleration Produced by “Dark Halos”
We have recently discovered that the modified Newtonian dynamics (MOND) implies some universal upper bound on the acceleration that can be produced by a "dark halo," which, in a Newtonian analysis,
Novel test of modified Newtonian dynamics with gas rich galaxies.
  • S. McGaugh
  • Physics, Medicine
    Physical review letters
  • 2011
A test using gas rich galaxies for which both axes of the BTFR can be measured independently of the theories being tested and without the systematic uncertainty in stellar mass that affects the same test with star dominated spirals is reported.