1
$\begingroup$

So the Lorentz Transformation formation equation are $$x′=\gamma(x−vt),$$

  1. Does $x′$ and t represent time and position at one event(one instance) or do they represent two events- meaning is $x'$ actually $x_2-x_1$
  2. I am rather confused on when to use the Lorentz equation for solving problems? Can't I just use the time dilation and length contraction formulas depending on the problem's constraints?
Improve this question
$\endgroup$

1 Answer 1

Reset to default
2
$\begingroup$

The equation you've given is not the full Lorentz transformation. There is also a transformation giving t'.

Does x' and t represent time and position at one event(one instance) or do they represent two events- meaning is x′ actually x2−x1

It works for either purpose.

Can't I just use the time dilation and length contraction formulas depending on the problem's constraints?

No. If length contraction and time dilation were all there was, then it would be equivalent to simply changing the units used for time and distance. The Lorentz transformation also says that different observers don't agree on whether events happened in the same place (also true for Galilean relativity) and that they don't agree on whether events happened at the same time.

Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.