Superluminal behavior and the Minkowski space-time

TL;DR

This paper investigates Bessel beams and their superluminal propagation in Minkowski space-time, revealing a Super-Light Cone that preserves causality despite exceeding the speed of light.

Contribution

It introduces the concept of a Super-Light Cone in Minkowski space-time to explain superluminal Bessel beam behavior without violating relativity.

Findings

Bessel beams can exist within a Super-Light Cone in Minkowski space-time.

Super-Light Cone wraps around the Light Cone, maintaining causality.

Superluminal signal propagation does not alter fundamental relativity laws.

Abstract

Bessel X-waves, or Bessel beams, have been extensively studied in last years, especially with regard to the topic of superluminality in the propagation of a signal. However, in spite of many efforts devoted to this subject, no definite answer has been found, mainly for lack of an exact definition of signal velocity. The purpose of the present work is to investigate the field of existence of Bessel beams in order to overcome the specific question related to the definition of signal velocity. Quite surprisingly, this field of existence can be represented in the Minkowski space-time by a Super-Light Cone which wraps itself around the well-known Light Cone. So, the change in the upper limit of the light velocity does not modify the fundamental low of the relativity and the causal principle.