A distinguished set of modes in an accelerated frame of reference

TL;DR

This paper constructs a special set of energy modes for the Klein-Gordon equation in any accelerated frame in Minkowski space, exploring their potential to define the vacuum state in such frames.

Contribution

It introduces a distinguished set of modes in accelerated frames, extending the understanding of quantum fields beyond inertial reference frames.

Findings

Constructed positive and negative energy modes for accelerated frames.

Highlighted the ambiguity in defining the vacuum in accelerated cavities.

Compared modes in accelerated and inertial frames.

Abstract

We construct a distinguished set of positive and negative energy modes of the Klein-Gordon equation for any Born frame of reference in Minkowski's space-time. Unlike the case of a galilean frame of reference it is unclear whether this set of modes may be an appropriate basis to define the vacuum of a quantized scalar field in an accelerated cavity.