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DOE OSTI · 21510003

Electrodynamics with a Future Conformal Horizon

Ibison, Michael
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Abstract

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.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSCOMPATIBILITYCONFORMAL INVARIANCEDIFFERENTIAL EQUATIONSELECTRODYNAMICSEQUATIONSFIELD THEORIESINVARIANCE PRINCIPLESMATHEMATICSMETRICSMIRRORSPARTIAL DIFFERENTIAL EQUATIONSQUANTUM ELECTRODYNAMICSQUANTUM FIELD THEORYSINGULARITYSYMMETRYTOPOLOGYWAVE EQUATIONS

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Ibison, Michael. 2010-12-22. Electrodynamics with a Future Conformal Horizon. https://doi.org/10.1063/1.3536441

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