Investigation on the superluminality of evanescent modes via quantum Lorentz transformation

TL;DR

This paper explores how evanescent modes in waveguides can exhibit superluminal behavior by modeling photons as massive particles and applying quantum Lorentz transformations, linking quantum tunneling to spacelike propagation.

Contribution

It introduces a novel approach by quantizing Lorentz transformations between quantum and classical frames to explain superluminal evanescent modes.

Findings

Evanescent modes can propagate over spacelike intervals due to quantum effects.

Quantum Lorentz transformations reveal superluminal possibilities for guided photons.

Heisenberg's uncertainty principle enables spacelike propagation of particles.

Abstract

Applying the fact that guided photons inside a waveguide can be treated as massive particles, one can study the superluminality of evanescent modes via showing that a massive particle can propagate over a spacelike interval, which corresponds to quantum tunneling effects. For this purpose, we treat the particle as a quantum reference frame, while attach an inertia observer to a classical reference frame, and then quantize the formulae for the Lorentz transformation between the quantum and classical reference frames, from which we obtain the conclusion that, owing to the Heisenberg's uncertainty relation, the particle can propagate over a spacelike interval.