Premovic, Pavle I.
February 29, 2020
Keywords: Special relativity, Lorentz-Einstein, muon, time dilation, time contraction
The time dilation of Lorentz-Einstein can be readily derived from the classical light clock experiment where the clock is positioned perpendicularly to the direction of its motion. The extent of dilation is given by the Lorentz factor: 1/√1-v2/c2 where v is the relative velocity of the light clock and c is the speed of light.
This type of time dilation is apparently consistent with the muon experiment. Assuming that the Lorentz-Einstein time dilation is relevant to the light clock experiment when the clock is aligned along the direction of motion, the Lorentz-Einstein length contraction is usually then derived. However, if there is no such contraction we then deal with a time dilation of non-Lorentz-Einstein type. The amount of time dilation is now specified by the squared Lorentz factor: 1/1-v2/c2. It appears that this type of time dilation is even much more agreeable with the muon experimental measurements than the Lorentz-Einstein type.