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Physics
Special and General Relativity
Deriving Lorentz Factor: An Analysis of Jimmy360's Method
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[QUOTE="Ibix, post: 6046320, member: 365269"] There is a mistake in the derivation, yes. It should say ##l=ct'## (i.e. in the frame where the light clock is at rest, it takes time ##t'## for the light pulse to travel one way up the clock) and ##d=ct## (i.e. in the frame where the light clock is moving it takes time ##t## to go up the diagonal distance ##d##) not the other way around. The expression as (incorrectly) derived makes ##t'/t=\gamma##, but the LHS should be the other way up: ##t/t'=\gamma##. If you put the definitions of l and d in correctly the correct answer drops out. An observation I've made about relativity is that it seems to be quite easy to get correct-looking (but wrong) expressions when you make a mistake. [/QUOTE]
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Special and General Relativity
Deriving Lorentz Factor: An Analysis of Jimmy360's Method
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