Difference between revisions of "On a Physical and Mathematical Discontinuity in Relativity Theory"
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==Abstract== | ==Abstract== | ||
| − | An isotropic inertial reference frame ("stationary") is considererd, in which a circular disk of radius <em>R</em> rotates uniformly. The velocity of light [] relative to the rim of the disk is calculated under <em>very general </em>assumptions and found to satisfy []. This [] remains the same if <em>R</em> 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, <em>if</em> the velocity of light is assumed to be <em>c</em> in the latter. Elimination of the discontinuity is shown to imply <em>fos inertial systems</em> a velocity of light [], necessarily equal to that obtained from recently published "inertial transformations." | + | An isotropic inertial reference frame ("stationary") is considererd, in which a circular disk of radius <em>R</em> rotates uniformly. The velocity of light [] relative to the rim of the disk is calculated under <em>very general </em>assumptions and found to satisfy []. This [] remains the same if <em>R</em> 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, <em>if</em> the velocity of light is assumed to be <em>c</em> in the latter. Elimination of the discontinuity is shown to imply <em>fos inertial systems</em> a velocity of light [], necessarily equal to that obtained from recently published "inertial transformations." |
| − | [[Category:Relativity]] | + | [[Category:Scientific Paper|physical mathematical discontinuity relativity theory]] |
| + | |||
| + | [[Category:Relativity|physical mathematical discontinuity relativity theory]] | ||
Latest revision as of 19:46, 1 January 2017
| 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."
