Electrodynamics with a Future Conformal Horizon
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^{2} = a^{2}(t)(dt^{2}dx^{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 timelike 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 WheelerFeynman 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.
 Publication:

Search for Fundamental Theory: The VII International Symposium Honoring French Mathematical Physicist JeanPierre Vigier
 Pub Date:
 December 2010
 DOI:
 10.1063/1.3536441
 arXiv:
 arXiv:1010.3074
 Bibcode:
 2010AIPC.1316...28I
 Keywords:

 quantum electrodynamics;
 singularly perturbed systems;
 wave equations;
 conformal symmetry;
 12.20.Ds;
 02.40.Xx;
 03.65.Pm;
 11.25.Hf;
 Specific calculations;
 Singularity theory;
 Relativistic wave equations;
 Conformal field theory algebraic structures;
 Physics  General Physics
 EPrint:
 Article to be published in 7th International Vigier Symposium: The Search for Fundamental Theory