An alternative transformation factor in the framework of the relativistic aberration of light

TL;DR

This paper introduces a new transformation factor related to relativistic aberration of light, suggesting the possibility of double images of celestial objects and challenging the speed limit imposed by Lorentz transformations.

Contribution

It derives a novel transformation factor in relativistic aberration, providing an alternative to the Lorentz factor with implications for high-speed observations.

Findings

A new transformation factor with two solutions, one matching Lorentz factor.

Potential for double images of celestial objects due to aberration.

No upper speed limit established by the new functional form.

Abstract

In the present study, we analyze in combination the principles of special relativity and the phenomenon of the aberration of light, deriving a system of equations that allows establishing the relationship between the angles commonly involved in this phenomenon. As a consequence, a transformation factor is obtained that generates two solutions, one of them with the same values as the Lorentz factor. This suggests that due to relativistic aberration, an apparent double image of celestial objects could be obtained. On the other hand, its functional form does not establish a limit to the speed of the reference frames with inertial movement.