The discussion centers on the confusion surrounding the application of time dilation and length contraction equations in the context of special relativity. The user initially misapplies the equations t=γ*t0 and L0=γ*t, leading to an incorrect conclusion about velocity. The clarification provided emphasizes the necessity of using the full form of the Lorentz transformation to accurately relate these concepts. Ultimately, the user acknowledges their misunderstanding and expresses gratitude for the assistance received.
PREREQUISITESStudents of physics, educators teaching special relativity, and anyone seeking to clarify concepts of time dilation and length contraction in the context of Lorentz transformations.
Would you please spend some time proof reading your post and editing it to remove all typos and grammatical errors? Also, please make sure your equations are really what you want them to be and it would help if you would define all your variables.andrepd said:I'm confused. If t=γ*to and Lo=γ*t how does the equation x=v*t hold for x0=v*to, for constant velocity (Let to be the time in the stationary reference frame and t the moving frame, the same for length)? Then v would be equal to γ^2*v... Perhaps I'm missing something here.
You are missing the full form of the Lorentz transform: https://en.wikipedia.org/wiki/Lorentz_transformation#Boost_in_the_x-directionandrepd said:If t=γ*to and Lo=γ*t ... Perhaps I'm missing something here.
ghwellsjr said:Would you please spend some time proof reading your post and editing it to remove all typos and grammatical errors? Also, please make sure your equations are really what you want them to be and it would help if you would define all your variables.
DaleSpam said:You are missing the full form of the Lorentz transform: https://en.wikipedia.org/wiki/Lorentz_transformation#Boost_in_the_x-direction
The time dilation and length contraction formulas you wrote are special cases of the Lorentz transforms, not the general case. You need to use the full form.