Paradox about Relativity — Paradoja sobre relatividad

Francisco Martínez
7 min readJun 9, 2024

Paradox about Relativity

Two identical spaceships cross paths in space, and when their centers align, two wavefronts are created that advance towards the ends of the ships. At the ends of each ship, there are mirrors that reflect the light waves. Observers at the center of each ship see the wavefronts reach the center of each ship simultaneously. However, from the time the waves are produced until they reach the center of each ship, the ships have moved relative to each other and their centers have separated. Nonetheless, the wavefronts reach the center simultaneously in each ship. The observers verify the simultaneity of the wavefronts. However, when analyzing what happens in the other ship, they will say that the rays are not simultaneous for the observer in the other ship. If the wavefronts are unique, what seems to be happening is that a point in space is not uniquely corresponding to the position of the wavefront, meaning that space is not unique, as we are accustomed to reasoning.

ChatGPT reply

What you describe is an interesting example that can be analyzed within the framework of Einstein’s theory of special relativity. Let’s break down the problem and understand how special relativity explains these phenomena.

Context and Problem Statement

  1. Two identical spaceships cross paths in space. When their centers align, wavefronts are emitted towards the ends of the ships.

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