*On a Physical and Mathematical Discontinuity in Relativity Theory*

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."