Title: Relativistic fictitious forces from the perspective of the accelerated rotating platform

Authors: A. Sfarti

Addresses: University of California, Berkeley, California, USA

Abstract: In the current paper we present the expression of the relativistic fictitious forces as measured in the frame of a non-uniformly rotating platform. The solution is of great interest for real time applications because Earth-bound laboratories are inertial only in approximation. The motivation is that the real life applications include accelerating and rotating frames more often than the idealised case of inertial frames; our daily experiments happen in the laboratories attached to the rotating Earth. The accelerations play an important role in centrifuges ramping up to speed. We will provide a straightforward method of deriving the fictitious forces arising in the rotating frame in their relativistic form. We are also correcting the expression of the Euler force in its classical (non-relativistic) form by correcting an error in its derivation that has persisted for centuries. This paper is dedicated to professors Mikayel Sarian and Eliza Haseganu.

Keywords: general coordinate transformations; uniform rotation; relativistic Coriolis force; relativistic centrifugal force; relativistic Euler force.

DOI: 10.1504/IJNEST.2020.117706

International Journal of Nuclear Energy Science and Technology, 2020 Vol.14 No.4, pp.363 - 370

Received: 26 Dec 2020
Accepted: 20 Jul 2021

Published online: 21 Sep 2021 *

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