Milgrom's revision of Newton's laws  Dynamical and cosmological consequences
Abstract
Milgrom's (1983) recent revision of Newtonian dynamics was introduced to eliminate the inference that large quantities of invisible mass exist in galaxies. It is shown by simple examples that a Milgrom acceleration, in the form presented so far, implies other farreaching changes in dynamics. The momentum of an isolated system is not conserved, and the usual theorem for centerofmass motion of any system does not hold. Naive applications require extreme caution. The model fails to provide a complete description of particle dynamics and should be thought of as a revision of Kepler's laws rather than Newton's. The Milgrom acceleration also implies fundamental changes in cosmology. A quasiNewtonian calculation adapted from Newtonian cosmology suggests that a 'Milgrom universe' will recollapse even if the classical closure parameter Omega is much less than unity. The solution, however, fails to satisfy the cosmological principle. Reasons for the breakdown of this calculation are examined. A new theory of gravitation will be needed before the behavior of a Milgrom universe can be predicted.
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1984
 DOI:
 10.1086/162569
 Bibcode:
 1984ApJ...286....3F
 Keywords:

 Big Bang Cosmology;
 Galactic Clusters;
 Kepler Laws;
 Newton Theory;
 Stellar Motions;
 Energy Conservation;
 Kinetic Energy;
 Mass Distribution;
 Universe;
 Astrophysics