A note on Non-commutativity and the Zero Point Field

TL;DR

This paper explores the theoretical link between non-commutative spacetime and the zero point field, highlighting how quantum scale effects modify electromagnetic properties and suggest an underlying connection.

Contribution

It proposes a novel theoretical connection between non-commutative geometry and the zero point field, considering Compton scale effects on electromagnetic tensors.

Findings

Electromagnetic field tensor is modified at the Compton scale.

Non-commutativity influences the zero point field properties.

The study suggests a fundamental link between spacetime structure and quantum vacuum fluctuations.

Abstract

In this paper we endeavour to find a connection between the non-commutative nature of space time and the {\it zero point field}. We observe that extra effects come into play when we take into account the Compton scale effects in such a space-time and the electromagnetic field tensor and the current density get modified. This defines an underlying connection between non-commutativity and the {\it zero point field}.