Figures index

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
  • Figure 1. Lorentz contraction of the one-dimensional rod moving in four alternative directions, each time positioned in parallel 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). The rod becomes shorter due to Lorentz contraction, but the parallel position remains unchanged after contraction
  • 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
  • Figure 3. Lorentz contraction of the one-dimensional rod moving in four alternative directions, each time positioned diagonally 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). The rod changes its diagonal position due to the Lorentz contraction. Hence, in this case, the positional dependence gives a visible result
  • Figure 4. The vertical rail (black) and the vertical rod (green) are differently positioned to each one’s direction of motion (black vectors) in the observer’s frame ). Consequently, they differently react to Lorentz contraction along these directions: the rod changes its diagonal position (from green to the red one), while the rail’s perpendicular position remains unchanged. This leads to incompatibility between observations made in the rail and rod frames (adherence), and in the observer’s frame (deviation from the rail). Green vector points direction of the rod’s motion as observed in the rail frame
  • Figure 5. The vertical rail (black) and the diagonal rod (green) are differently positioned to each one’s direction of motion (black vectors) in the observer’s frame ). Consequently, they differently react to Lorentz contraction along these directions: the rod changes its diagonal position (from green to the red one). As a result, it adheres to the rail whose perpendicular position remains unchanged. Like in the previous version, this means incompatibility between observations made in the rail and rod frames (deviation from the rail) and in the observer’s frame (adherence). Green vector indicates direction of the rod’s motion observed in the rail frame