Figure 1. The rod diagonally positioned to the trajectory (green) changes its position (from green to red) due to the Lorentz contraction. The green line can be interpreted either as a position the rod would take if it stops in the observer’s frame (in which it is actually moving) or as a position viewed in the rod rest frame (in which the observer is moving). These two interpretations are equivalent by virtue of the principle of relativity

From

Why and How Special Relativity Fails in the Second Spatial Dimension? An Introduction to the Preferred Frame Theory

Maciej Rybicki

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