Einstein’s Elevator: World Lines, Michelson–Morley Experiment and Relativistic Paradox

We all have in mind Einstein’s famous thought experiment the elevator where we observe free fall of a body, and then trajectory light ray. Here, addition to qualitative aspect, exact calculations are carried out, worldlines equations given. A uniformly accelerated reference frame rectilinear translation is considered, it shown that trajectories particles semi-ellipses with center on event horizon. The non-inertial, spacetime flat, computations performed within framework special relativity. Some experimental consequences discussed, especially Michelson–Morley interferometer solved, an experiment, new relativistic paradox appears—a particle matter seems go faster than light—is described. differences, compared classical case, important at large scale close horizon, but they small lift interest above theoretical. concepts metric, coordinated velocity horizon analogy black hole made.