The Theory of Kairons

TL;DR

This paper introduces 'Kairons', a novel dual field theory with superluminal propagation, where wave functions are defined on a time-like worldline, contrasting with traditional relativistic quantum mechanics.

Contribution

It proposes a new field theory of 'wavicles' with initial data on a time-like worldline, expanding the framework of relativistic quantum mechanics to include superluminal fields.

Findings

Kairon fields have superluminal propagation.

The theory maintains unitarity with a mass-zero Poincare representation.

Field equations are formulated in a general relativistic setting with torsion.

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.