For a future blog post I’m working on, I would like to show how the Lorentz transformations are derived. To remind you, the Lorentz transformations tell us how variables change when we go from one reference frame to another one that is moving relative to the first.
We start in a reference frame S, in which there is only one spatial dimension, $x$. Now compare S with a reference frame S’ moving with velocity $v$ in a positive $x$ direction. How do we relate $x$ and $t$ in S to their equivalents $x’$ and $t’$ in S’?
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