Figure 2. Lorentz contraction of the one-dimensional rod moving in four alternative directions, each time positioned perpendicularly to the respective direction of motion. Red and green colors mark the same rod – contracted and uncontracted, respectively. The result of Lorentz contraction does not depend on the direction in which the rod moves in the observer’s frame (isotropy). Since the rod is assumed one-dimensional, so there’s no visible effect of the Lorentz contraction. The perpendicular position remains unchanged after contraction

From

Collapse of Special Relativity in the Two-dimensional Space

Maciej Rybicki

International Journal of Physics. 2025, 13(2), 30-40 doi:10.12691/ijp-13-2-2