A note about the quantum of area in a non-commutative space

TL;DR

This paper demonstrates that in a two-dimensional non-commutative space, the area operator is quantized, and compares this result with similar findings from Loop Quantum Gravity methods.

Contribution

It establishes the quantization of the area operator in a non-commutative space and relates it to Loop Quantum Gravity results.

Findings

Area operator is quantized in 2D non-commutative space

Comparison with Loop Quantum Gravity results

Highlights similarities between different quantum gravity approaches

Abstract

In this note we show that in a two-dimensional non-commutative space the area operator is quantized, this outcome is compared with the result obtained by Loop Quantum Gravity methods.