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The hyperbolic theory of special relativity

The hyperbolic theory of special relativity
The hyperbolic theory of special relativity
The book is based largely on the author's researches presented at conferences in the period 1992 onwards. It is a historically based exposition and an extension of the hyperbolic version of special relativity first proposed by Varićak (1910 etc) and others not long after the appearance of the early papers of Einstein and Minkowski. The book's approach puts emphasis on the concept of hyperbolic velocity (scaled rapidity) and in this respect differs markedly from the gyro theory of Ungar. New formulations are given in optics relating hyperbolic velocity with logarithmic redshift and in dynamics including a reformulation of Newton's 2nd law in terms of hyperbolic acceleration so avoiding velocity-dependent mass. The concept of differential Minkowski space is introduced and related to the hyperbolic theory and to Carathéodory's axiomatic approach to the special theory.
University of Southampton
Barrett, John F.
693b10c6-b808-45f9-94c0-cc7e6f8470f0
Barrett, John F.
693b10c6-b808-45f9-94c0-cc7e6f8470f0

Barrett, John F. (2019) The hyperbolic theory of special relativity , arXiv:1102.0462v2 ed. Southampton. University of Southampton, 90pp.

Record type: Book

Abstract

The book is based largely on the author's researches presented at conferences in the period 1992 onwards. It is a historically based exposition and an extension of the hyperbolic version of special relativity first proposed by Varićak (1910 etc) and others not long after the appearance of the early papers of Einstein and Minkowski. The book's approach puts emphasis on the concept of hyperbolic velocity (scaled rapidity) and in this respect differs markedly from the gyro theory of Ungar. New formulations are given in optics relating hyperbolic velocity with logarithmic redshift and in dynamics including a reformulation of Newton's 2nd law in terms of hyperbolic acceleration so avoiding velocity-dependent mass. The concept of differential Minkowski space is introduced and related to the hyperbolic theory and to Carathéodory's axiomatic approach to the special theory.

Text
1102.0462 - Author's Original
Available under License Other.
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Submitted date: 28 January 2011
e-pub ahead of print date: 16 September 2019

Identifiers

Local EPrints ID: 167693
URI: http://eprints.soton.ac.uk/id/eprint/167693
PURE UUID: 9fb73d76-1caf-4220-b408-55bf75cbe80e

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Date deposited: 01 Feb 2011 09:20
Last modified: 19 Mar 2020 17:35

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