Jun 21, 2012
Rest-mass Nonconservation in Special Relativity’s Equivalence principle and Ehrenfest Disk (Minipaper)
Posted by Otto E. Rössler in categories: existential risks, particle physics
by Otto E. Rössler, Faculty of Science, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
Abstract: An unfamiliar result in special relativity is presented: non-conservation of rest mass. It implies as a corollary a resolution of the Ehrenfest paradox. The new result is inherited by general relativity. It changes the properties of black holes. (June 21, 2012)
Rest mass is conserved in special relativity in the absence of acceleration. Under this condition, the well-known relativistic increase of total mass with speed is entirely due to the momentum part of the total-mass formula, so rest mass stays invariant as is well known. However, the presence of acceleration changes the picture. Two cases in point are the constant-acceleration rocketship of Einstein’s equivalence principle of 1907, and the rotating disk of Einstein’s friend Ehrenfest 5 years later.
First the Einstein rocket: