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- W4255775479 abstract "We all have in mind Einstein's famous thought experiment in the elevator where we observe the free fall of a body and then the trajectory of a light ray. Simply here, in addition to the qualitative aspect, we carry out the exact calculation. We consider a uniformly accelerated reference frame in rectilinear translation and we show that the trajectories of the particles are ellipses centered on the horizon of the events. The frame of reference is non-inertial, the space-time is flat, the metric is non-Minkowskian and the computations are performed within the framework of special relativity. Some experimental consequences are discussed such as trajectory deviation, desynchronization of a falling clock and the Michelson interferometer. The differences, compared to the classical case, are important at large scale and close to the horizon, but they are small in the box where the interest is above all theoretical and pedagogical. The study helps the student to become familiar with the concepts of metric, coordinate velocity, horizon, and, to do the analogy with the black hole." @default.
- W4255775479 created "2022-05-12" @default.
- W4255775479 creator A5064795194 @default.
- W4255775479 date "2021-04-19" @default.
- W4255775479 modified "2023-10-17" @default.
- W4255775479 title "World Lines in Einstein's Elevator" @default.
- W4255775479 doi "https://doi.org/10.20944/preprints202103.0230.v2" @default.
- W4255775479 hasPublicationYear "2021" @default.
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