Figure 5. Minkowski diagram showing how the space and time axes in moving systems (primed) relate to the corresponding axes in a stationary system xτ. Spacetime points (xi, 0) transform as hyperbolas (red) for increasing relativistic velocities, and which coincide with the hyperbolic spacetime trajectories for particles in constant proper acceleration. Time shown by a clock moving along such a hyperbolic spacetime trajectory will thus appear slowed-down or even frozen to a stationary observer. Light is the special limiting case when xi = 0 (blue). Then all points (x, x) of the light ray in the stationary system coalesce into one point (0, 0) in the co-moving system – thus making quantum entanglement understandable even between entangled photons separated by large distances in the stationary system as illustrated in Figure 6 : Apparent Superluminal Speeds in Evanescent Fields, Quantum Tunnelling and Quantum Entanglement : Science and Education Publishing

Figure 5. Minkowski diagram showing how the space and time axes in moving systems (primed) relate to the corresponding axes in a stationary system xτ. Spacetime points (x_i, 0) transform as hyperbolas (red) for increasing relativistic velocities, and which coincide with the hyperbolic spacetime trajectories for particles in constant proper acceleration. Time shown by a clock moving along such a hyperbolic spacetime trajectory will thus appear slowed-down or even frozen to a stationary observer. Light is the special limiting case when x_i = 0 (blue). Then all points (x, x) of the light ray in the stationary system coalesce into one point (0, 0) in the co-moving system – thus making quantum entanglement understandable even between entangled photons separated by large distances in the stationary system as illustrated in Figure 6

International Journal of Physics. 2015, 3(1), 40-44 doi:10.12691/ijp-3-1-7