Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# A Theory of Inertia Based on Mach's Principle

Version 1 : Received: 8 July 2019 / Approved: 9 July 2019 / Online: 9 July 2019 (14:21:44 CEST)

A peer-reviewed article of this Preprint also exists.

Putz, V. A Theory of Inertia Based on Mach’s Principle. Universe 2019, 5, 188. Putz, V. A Theory of Inertia Based on Mach’s Principle. Universe 2019, 5, 188.

Journal reference: Universe 2019, 5, 188
DOI: 10.3390/universe5080188

## Abstract

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. Central feature is a space-dependent, anisotropic, symmetric inert mass tensor. The contribution of a mass element $dm$ to the inertia of a particle $m_0$ experiencing an acceleration from rest is proportional to $\cos^2\alpha$, where $\alpha$ is the angle between the line connecting $m_0$ and $dm$ 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 wrong sign as is done by Mach-like theories with isotropic inert mass.

## Subject Areas

inertia; Mach's principle; history of physics

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