Recent content by bookofproofs

cool

Indeed, this is the probably most simple argument, why the perpendicular case is not a loss of generality. Consider a light clock which is sending simultaneously two different light beams to its spherical mirror surface: one which is perpendicular to the direction of movement and one at an...

This is sublime, thank you.

Janus, this is the kind of argument I have been looking for my first question. Could you please provide me with your mathematical proof? Not because I'm still not convinced, but because I would like to use your proof as a "lemma" to complete the mathematical proof of time dilation on my...

My question was "why you can assume any direction you want". Take the relativistic length contraction as an example. It does not happen in "any direction you want" but only in the direction of movement. So I just do not get it, why the direction of movement is important for length contraction (I...

Hi, I'm a (hobby) mathematician and only an amateur physicist, so maybe below there are only trivia questions. Thank you in advance for conversation and clarification. All mathematical proofs of "time dilation" I have looked at so far were based on the Pythagorean theorem. In all such proofs...