Time dilation has absurd predictions. So, it may be an illusion. Is it possible that this mistake has its roots far back in 1887, when Michelson did his famous tests? The interpretations of these tests assumed that the mirrors in the equipment define the vector sum of ether wind v and wave vector c. This was a reasoning based on particles, and the mirrors have relevance only in relation to c (but not to v), and the wave model is in conflict. So, time dilation appears to be an illusion, and the Lorentz transform not needed.

Einstein gave support to this idea by postulating that observers in different (but constant) motions all see the same light speed, but Einstein's idea is also absurd.

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