Mach’s principle deeply influenced Einstein’s General Relativity, and following attempts to extend gravity theories. It’s implications and ideas are explained in relation to relative acceleration, inertial forces, Newton’s bucket of water experiment, and the gravitational constant, as an introduction to theories of modified inertia such as MOND.
Mach’s principle: introduction to MOND and modified inertia Read More »
The lack of a phenomenological explanation of Modified Newtonian Dynamics and its falling short in galaxy clusters suggest that MOND is an approximation of a more fundamental theory of modified gravity or inertia. There is strong evidence for Mach’s principle and the relativity of inertia to be behind MOND, explaining dark matter effects in galaxies. A classical Machian theory implementing the relativity of inertia has been presented. A Machian explanation of MOND is in progress.
Milgrom’s Modified Newtonian Dynamics (MOND) correction to Newtonian gravity is shown to be equivalent to a more fundamental transformation between a non-inertial local reference frame and the fixed background of the observable universe, complying with Mach’s principle. This Machian MOND approximation is a necessary feature of a nonlinear phenomenological theory of modified inertia or modified gravity which incorporates Mach’s principle in agreement with galaxy rotation curves.
MOND correctly predicts galaxy rotation curves, but fails in galaxy clusters and other evidence for dark matter. Does this mean that MOND is incorrect? The original author of MOND suggested that MOND should come from modified inertia, but a phenomenological explanation of MOND has never been found. There are many proposals of modifiying inertia based on Mach’s principle and the relativity of acceleration, but shouldn’t these approximate to MOND’s formulation?
Does MOND work? and the origin of inertia Read More »