Tripathi, Karunesh M.
August 29, 2023
Special Relativity, Relativistic Doppler Effect, Muons, Astrophysics, Cosmology
Special Relativity envisages neither time dilation nor length contraction in isolation, independent of each other; but instead, the two occur simultaneously, in any transformation, with values that together have to mandatorily conform to the Lorentz Transformation Condition. However, if one of them is taken as zero to start with theoretically, the transformation obviously reduces to the other parameter (distance or time) with the non-zero value. Even though such assumed cases are nearly impossible in practice, their results are orchestrated as general laws of nature that exist independently, without any riders. The oft-quoted phenomena like ‘time ticking slower’ and ‘length contraction’ in moving frames are examples. These are quoted as if these happen always, without any conditions, which is incorrect. The reason would be clearer in the discussions ahead.