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Open AccessArticle

A Theory of Inertia Based on Mach’s Principle

by Volkmar Putz
Institute for General Secondary Education, University College of Teacher Education Vienna (PH Wien), 1100 Vienna, Austria
Current address: Grenzackerstrasse 18, A-1100 Vienna, Austria.
Universe 2019, 5(8), 188; https://doi.org/10.3390/universe5080188
Received: 8 July 2019 / Revised: 12 August 2019 / Accepted: 12 August 2019 / Published: 16 August 2019
(This article belongs to the Special Issue Rotation Effects in Relativity)
A non-relativistic theory of inertia based on Mach’s principle is presented as has been envisaged, but not achieved, by Ernst Mach in 1872. The central feature is a space-dependent, anisotropic, symmetric inert mass tensor. The contribution of a mass element d m to the inertia of a particle m 0 experiencing an acceleration from rest is proportional to cos 2 α , where α is the angle between the line connecting m 0 and d m and the direction of the acceleration. Apsidal precession for planets circling around a central star is not a consequence of this theory, thereby avoiding the prediction of an apsidal precession with the wrong sign as is done by Mach-like theories with isotropic inert mass. View Full-Text
Keywords: inertia; Mach’s principle; history of physics inertia; Mach’s principle; history of physics
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Putz, V. A Theory of Inertia Based on Mach’s Principle. Universe 2019, 5, 188.

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