- #1

Arman777

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## Homework Statement

How can we derive Lorentz Transformation using the length contraction and time dilation equations of relativity ?

## Homework Equations

##γ = 1/ (\sqrt{1-u^2/c^2})##

##t = t_0γ##

##L = L_0/γ##

## The Attempt at a Solution

[/B]

In position Lorentz Transformation calculations, simply I thought that the distance will get shorter since theres length contraction.

So in galilean transformation the position transformation is ##x= x_0-ut##. So this "length" will get shorther by the amount of ##γ##.

So we have ##x = γ(x_0-ut)##

For the time part I am kind of stuck. I didnt understand where the ##ux/c^2## comes from.