Photon angular momentum near Planck scale

TL;DR

This paper investigates how Planck-scale minimal length effects modify the angular momentum structure of gauge fields within a Lorentz covariant RGUP framework, revealing preserved conservation laws and higher-order corrections.

Contribution

It derives the gauge field angular momentum tensors and demonstrates their conservation under Planck-scale modifications, extending understanding of fundamental symmetries at high energies.

Findings

Conservation laws hold despite Planck-scale corrections.

RGUP introduces higher-order angular momentum contributions.

Modified Poynting vector with Maxwell limit recovery.

Abstract

We study the angular momentum structure of the gauge field in Lorentz covariant relativistic generalized uncertainty principle (RGUP) framework incorporating Planck scale minimal length effects. Using Noether's theorem for higher derivative RGUP-modified gauge field Lagrangian, we obtain the canonical and symmetric (Belinfante) energy-momentum tensors and the corresponding gauge spin and orbital angular momentum currents. We show that the canonical and Belinfante-Rosenfeld angular-momentum tensors continue to satisfy the standard conservation law in the presence of Planck-scale corrections. %These results support the stability of fundamental conservation laws under high-energy modifications. The RGUP corrections introduce higher-order contributions to the angular momentum density and momentum flow, yielding a modified Poynting vector, with the Maxwell limit recovered for vanishing RGUP parameter.