{ "id": "0711.4716", "version": "v2", "published": "2007-11-29T13:42:22.000Z", "updated": "2008-03-03T12:31:20.000Z", "title": "The Theory of Kairons", "authors": [ "Arkadiusz Jadczyk" ], "comment": "Latex, 21 pages, 1 figure, several misprints from the previous version corrected", "journal": "Advances in Applied Clifford Algebras, Volume 19, Issue 1 , 2009, pp 63-82", "doi": "10.1007/s00006-008-0119-2", "categories": [ "math-ph", "gr-qc", "math.MP", "quant-ph" ], "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.", "revisions": [ { "version": "v2", "updated": "2008-03-03T12:31:20.000Z" } ], "analyses": { "keywords": [ "relativistic quantum mechanics wave functions", "initial data", "particles satisfy field equations", "dual field theory", "general relativistic framework" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "inspire": 769014, "adsabs": "2007arXiv0711.4716J" } } }