Electrodynamics with a Future Conformal Horizon
- Institute for Advanced Studies at Austin, 11855 Research Boulevard, Austin TX 78759 (United States)
We investigate the impact of singularities occurring at future times in the Friedmann equations expressed in conformal coordinates to determine the consequences of extending the time coordinate through the singularity for the physics of matter and radiation occupying just one side. Mostly this involves investigation of the relationship between the metric with line element ds{sup 2} a{sup 2}(t)(dt{sup 2}-dx{sup 2}) and time reversal symmetry within electrodynamics. It turns out compatibility between these two is possible only if there is a singular physical event at the time of the singularity or if the topology is not trivial. In both cases the singularity takes on the appearance of a time-like mirror. We are able to demonstrate a relationship between the broken time symmetry in electrodynamics characterized by retarded radiation and radiation reaction and the absolute conformal time relative to the time of the singularity, i.e. between the Electromagnetic and Cosmological arrows of time. It is determined that the Wheeler-Feynman reasoning but with the future absorber replaced by the Cosmological mirror leads to a conflict with observation unless matter is strongly bound electromagnetically to the environment.
- OSTI ID:
- 21510003
- Journal Information:
- AIP Conference Proceedings, Vol. 1316, Issue 1; Conference: 7. Vigier symposium: International symposium honoring French mathematical physicist Jean-Pierre Vigier, London (United Kingdom), 12-14 Jul 2010; Other Information: DOI: 10.1063/1.3536441; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPATIBILITY
CONFORMAL INVARIANCE
METRICS
MIRRORS
QUANTUM ELECTRODYNAMICS
SINGULARITY
SYMMETRY
TOPOLOGY
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY