Abstract:
Mach's principle links inertia with surrounding masses. After looking at the history of Mach's principle, we will work out a new model of galaxies inspired by the application of Mach’s principle. The new model has no ad hoc parameters: all inputs are from observation. Dark matter (DM) models have ad hoc parameters. The new model f its with observations better than current DM models, and could replace DM in Andromeda between 30 and 350kly as will be shown in section A. With the equivalence principle, only the mass side has been studied with general relativity; the inertial side also gives a force. A previous theoretical paper showed that this force deforms space [1]. This paper is the first applica tion of this force with the corresponding deformation/potential. It could explain the dynamic of Andromeda beyond 350kly as will be shown in section B. This force could also explain other puzzles in the universe. In the last section, the first two parts will be linked to provide a new formulation of Mach’s principle. A test of that new formulation, which can be carried out on Earth, will also be proposed.