Covariant quantum field theory of tachyons

TL;DR

This paper develops a covariant quantum field theory for tachyons, resolving major misconceptions by expanding the Hilbert space, ensuring Lorentz invariance, and endorsing a two-state interpretation of quantum mechanics.

Contribution

It introduces a covariant quantization scheme for tachyons by enlarging the Hilbert space, addressing previous issues of unbounded energy spectrum and non-covariant rules.

Findings

Resolved the unbounded energy spectrum issue.

Established a Lorentz covariant quantization framework.

Supported the two-state formalism as the preferred interpretation.

Abstract

Three major misconceptions concerning quantized tachyon fields: the energy spectrum unbounded from below, the frame-dependent and unstable vacuum state, and the non-covariant commutation rules, are shown to be a result of misrepresenting the Lorentz group in a too small Hilbert space. By doubling this space we establish an explicitly covariant framework that allows for the proper quantization of the tachyon fields eliminating all of these issues. Our scheme that is derived to maintain the relativistic covariance also singles out the two-state formalism developed by Aharonov et al. [1] as a preferred interpretation of the quantum theory.