(1) Center CAIROS, Institut de Mathématiques de Toulouse, Université Paul Sabatier, 31062 Toulouse Cedex 9, France
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 Poincaré
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.