On a Physical and Mathematical Discontinuity in Relativity Theory

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Scientific Paper
Title On a Physical and Mathematical Discontinuity in Relativity Theory
Author(s) Franco Selleri
Keywords discontinuity, relativity theory, isotropic reference frame, circular disk, radius, velocity of light
Published 1997
Journal None
Pages 69-80

Abstract

An isotropic inertial reference frame ("stationary") is considererd, in which a circular disk of radius R rotates uniformly. The velocity of light [] relative to the rim of the disk is calculated under very general assumptions and found to satisfy []. This [] remains the same if R is increased but the peripheral velocity of the disk is kept constant. Since by so doing any small part of the circumference can be considered (for a short time) better and better at rest in a ("moving") inertial system, there is a discontinuity between accelerated reference frames with arbitrarily small acceleration and inertial frames, if the velocity of light is assumed to be c in the latter. Elimination of the discontinuity is shown to imply fos inertial systems a velocity of light [], necessarily equal to that obtained from recently published "inertial transformations."