Hubble and Planck scale limits on the determination of orbital angular momentum states of light

TL;DR

This paper explores fundamental physical limits on measuring the orbital angular momentum of light, considering the universe's largest and smallest scales, revealing inherent bounds on such measurements.

Contribution

It introduces the concept of universal scale limits affecting the precision of orbital angular momentum measurements of photons, linking quantum optics with cosmological and Planck-scale physics.

Findings

Existence of upper and lower bounds on OAM measurement precision

Hubble radius and Planck length set fundamental measurement limits

Implications for quantum optics and cosmology

Abstract

We review Heisenberg's uncertainty principle for the orbital angular momentum (OAM) of light. By taking into account the largest and smallest scales present in nature, such as the the Hubble radius and the Planck length, we have found that there exist upper and lower physical limits to the determination of the OAM of a photon.