Quantization of the tachyonic field

TL;DR

This paper proposes a quantization scheme for imaginary-mass fields, ensuring causality through a specific synchronization procedure, and discusses the potential existence of tachyons and a privileged frame of reference resulting from spontaneous symmetry breaking.

Contribution

It introduces a consistent quantization method for tachyonic fields that maintains causality and reveals a privileged frame due to synchronization group breaking.

Findings

A quantization scheme for imaginary-mass fields preserving causality.

Existence of a tachyon privileged frame of reference.

Spontaneous breaking of the synchronization group.

Abstract

A consistent quantization scheme for imaginary-mass field is proposed. It is related to an appriopriate choice of the synchronization procedure (definition of time), which guarantee an absolute causality. In that formulation a possible existence of field exctitations (tachyons) distinguish an inertial frame (tachyon privileged frame of reference) via spontaneous breaking of the so called synchronization group.