Can someone kindly explain, in the velocity transformation derivation of Ux' in terms of Ux, why does delta t' tending to zero imply delta t tends to zero?
Look at the transformation of delta t', which depends on delta t and and delta x. If delta t tends to zero, delta x should also tend to zero, because the two events would occur closer to each other if delta t is zero. Thus delta t' shall also tend to zero.
This could also be explained by that, the time interval between the two events, can be written as ∆t = t2'- t1' and then using Lorentz transformation write the values interms of t1 and vx1/c^2 , and after the difference you'll essentially find the ∆t'= gamma∆t So, now you can easily agree with the lecturer's point. PS; this equation can also be used in time dialtion 👍
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Very nice
Very easy to understand.
Can someone kindly explain, in the velocity transformation derivation of Ux' in terms of Ux, why does delta t' tending to zero imply delta t tends to zero?
Look at the transformation of delta t', which depends on delta t and and delta x. If delta t tends to zero, delta x should also tend to zero, because the two events would occur closer to each other if delta t is zero. Thus delta t' shall also tend to zero.
This could also be explained by that, the time interval between the two events, can be written as ∆t = t2'- t1' and then using Lorentz transformation write the values interms of t1 and vx1/c^2 , and after the difference you'll essentially find the ∆t'= gamma∆t
So, now you can easily agree with the lecturer's point.
PS; this equation can also be used in time dialtion 👍
How Can Delta t' -> 0 as delta t-> 0 as expression of delta t' = gamma(●)
Although the discussion is about the speed of light , the lecture is slow.
haha