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In the hyperbolic theory of special relativity is space also hyperbolic?

In the hyperbolic theory of special relativity is space also hyperbolic?
In the hyperbolic theory of special relativity is space also hyperbolic?
In the hyperbolic theory of special relativity the space of velocities, the kinematic space, is hyperbolic of radius of negative curvature c the velocity of light. Space itself could be either Euclidean or hyperbolic. Whether space is hyperbolic is an important question for cosmology, philosophy and the axioms of special relativity. This paper considers consequences of it being hyperbolic including an estimate of the deviation from parallelism at terrestrial distances.
Barrett, John F.
693b10c6-b808-45f9-94c0-cc7e6f8470f0
Barrett, John F.
693b10c6-b808-45f9-94c0-cc7e6f8470f0

Barrett, John F. (2011) In the hyperbolic theory of special relativity is space also hyperbolic? Mathematics, Physics and Philosophy in the Interpretations of Relativity Theory, Budapest, Hungary. 04 - 06 Sep 2009. 17 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

In the hyperbolic theory of special relativity the space of velocities, the kinematic space, is hyperbolic of radius of negative curvature c the velocity of light. Space itself could be either Euclidean or hyperbolic. Whether space is hyperbolic is an important question for cosmology, philosophy and the axioms of special relativity. This paper considers consequences of it being hyperbolic including an estimate of the deviation from parallelism at terrestrial distances.

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e-pub ahead of print date: 27 January 2011
Venue - Dates: Mathematics, Physics and Philosophy in the Interpretations of Relativity Theory, Budapest, Hungary, 2009-09-04 - 2009-09-06

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Local EPrints ID: 172655
URI: http://eprints.soton.ac.uk/id/eprint/172655
PURE UUID: 9dec0d68-5ae8-4a82-881e-f5509077bf40

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Date deposited: 31 Jan 2011 08:36
Last modified: 14 Mar 2024 02:29

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Author: John F. Barrett

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