The Theory of Kairons
Abstract
In relativistic quantum mechanics wave functions of particles satisfy field equations that have initial data on a space--like hypersurface. We propose a dual field theory of ``wavicles'' that have their initial data on a time--like worldline. Propagation of such fields is superluminal, even though the Hilbert space of the solutions carries a unitary representation of the Poincare group of mass zero. We call the objects described by these field equations ``Kairons''. The paper builds the field equations in a general relativistic framework, allowing for a torsion. Kairon fields are section of a vector bundle over space-time. The bundle has infinite--dimensional fibres.
Cite
@article{arxiv.0711.4716,
title = {The Theory of Kairons},
author = {Arkadiusz Jadczyk},
journal= {arXiv preprint arXiv:0711.4716},
year = {2014}
}
Comments
Latex, 21 pages, 1 figure, several misprints from the previous version corrected