Alternative conventions and geometry for special relativity

Crabbe, A, 2004. Alternative conventions and geometry for special relativity. Annales de la Fondation Louis de Broglie, 29 (4), pp. 589-608. ISSN 0182-4295

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Abstract

This paper argues that Einstein’s conventionalist definition of time is sufficient for, but not necessary to the geometric modelling of Special Relativity. A different convention allows that any time interval t, can be measured by dc, the distance travelled from an origin by the spherical wave-front of a light pulse, c. This means that the relationships represented by the hyperbolic geometry of Minkowski can also be represented by circular function geometry (CFG), where the spherical surface of c provides both a fourth set t, of frame-dependent co-ordinate points and a parameter s, for measuring intervals that are invariant between reference frames. However, sine values under the circle range from 1-0, rather than 1-∞. This does not allow that for a reference frame velocity ≈ c, any interval length ≈ ∞. Furthermore, since CFG does not subdivide space-time into past and future zones, it excludes the possibility of backwards time travel for signal velocities > c.

Item Type:	Journal article
Publication Title:	Annales de la Fondation Louis de Broglie
Creators:	Crabbe, A.
Publisher:	Fondation Louis de Broglie
Place of Publication:	Paris
Date:	2004
Volume:	29
Number:	4
ISSN:	0182-4295
Divisions:	Schools > School of Art and Design
Record created by:	EPrints Services
Date Added:	09 Oct 2015 11:04
Last Modified:	19 Oct 2015 14:41
URI:	https://irep.ntu.ac.uk/id/eprint/22442

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