Spectra of disc operator for twisted acceleration-enlarged Newton-Hooke space-times

TL;DR

This paper derives the time-dependent spectra of the disc area operator in twisted acceleration-enlarged Newton-Hooke space-times, showing that the area quanta can expand or oscillate over time.

Contribution

It introduces a novel analysis of the spectra of the disc operator in a specific noncommutative space-time framework, revealing dynamic behavior of area quanta.

Findings

Area quanta are expanding over time.

Area quanta oscillate in time.

Spectra depend on the space-time twisting.

Abstract

The time-dependent spectra of disc area operator for twisted acceleration-enlarged Newton-Hooke space-times are derived. It is demonstrated that the corresponding area quanta are expanding or oscillating in time.