Different geometries for special relativity

Crabbe, A., 2004. Different geometries for special relativity. Physics Essays, 17 (2), pp. 166-176. ISSN 0836-1398

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Abstract

This paper introduces a different time-measuring convention for special relativity (SR), where a time interval t can be measured by dc, the distance traveled from an origin by the spherical wave-front of a light pulse c. Adoption of this convention leads to a Euclidean geometry for SR, different from the Euclidean geometry already proposed by Montanus. The present geometry is governed by the functions of the circle, rather than the hyperbola, and the spherical wave-front of a light pulse provides both a fourth set t of frame-dependent coordinate points and a parameter w for measuring intervals that are invariant between reference frames. Since sine values under the circle range from 1 to 0, rather than 1 to ¥, the new model does not allow, for a reference frame velocity » c, any interval to have length » ¥. Furthermore, the form of the new model excludes any notion of “travel” with respect to time.

Item Type: Journal article
Publication Title: Physics Essays
Creators: Crabbe, A.
Publisher: Physics Essays Publication through the American Institute of Physics
Place of Publication: Melville, NY, USA
Date: 2004
Volume: 17
Number: 2
ISSN: 0836-1398
Rights: © 2004 Physics Essays Publication
Divisions: Schools > School of Art and Design
Depositing User: EPrints Services
Date Added: 09 Oct 2015 11:00
Last Modified: 19 Oct 2015 14:40
URI: http://irep.ntu.ac.uk/id/eprint/21308

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