Photon angular momentum near Planck scale

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.

💡 Research Summary

The paper investigates how a Lorentz‑covariant implementation of the Generalized Uncertainty Principle (GUP), known as the Relativistic GUP (RGUP), modifies the angular‑momentum structure of the electromagnetic field. Starting from the observation that many approaches to quantum gravity predict a minimal length of order the Planck scale, the authors adopt a deformation of the canonical commutation relations that preserves Lorentz invariance:
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