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Electrodynamics and time orientability
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Hadley, Mark J. (2017) Electrodynamics and time orientability. International Journal of Theoretical Physics, 56 (6). pp. 2007-2018. ISSN 0020-7748.
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Official URL: https://link.springer.com/journal/10773
Abstract
On spacetimes that are not time orientable we construct a U(1) bundle to measure the twisting of the time axis. This single assumption, and simple construction, gives rise to Maxwell's equations of electromagnetism, the Lorentz force law and the Einstein-Maxwell equations for electromagnetism coupled to General relativity. The derivations follow the Kaluza Klein theory, but with the constraints required for connections on a U(1) bundle rather than five spacetime dimensions. The non time orientability is seen to justify and constrain Kaluza Klein theories exactly as required to unify gravitation with electromagnetism. Unlike any other schemes, apparent net electric charges arise naturally because the direction of the electric field reverses along a time reversing path. The boundary of a time reversing region can therefore have a net electric flux and appear exactly as a region containing an electric charge. The treatment is purely classical, but motivated by links between acausal structures and quantum theory.
Item Type: | Journal Article | ||||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||||
Library of Congress Subject Headings (LCSH): | Maxwell equations, Differential equations, Partial, Electromagnetic theory | ||||||||||
Journal or Publication Title: | International Journal of Theoretical Physics | ||||||||||
Publisher: | Springer | ||||||||||
ISSN: | 0020-7748 | ||||||||||
Official Date: | June 2017 | ||||||||||
Dates: |
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Volume: | 56 | ||||||||||
Number: | 6 | ||||||||||
Page Range: | pp. 2007-2018 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||
Date of first compliant deposit: | 8 March 2017 | ||||||||||
Date of first compliant Open Access: | 4 August 2017 |
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