And by eliminating x and x’, we get t and t’— and writing them all out
And by eliminating x and x’, we get t and t’— and writing them all out
the Lorentz transformation.
We see the non-invariance of simultaneity explicitly, and that time intervals will differ by a factor ?? also that space intervals are affected:
“time dilation” for the moving clock
“length contraction” for moving rule
Of course these transforms give the right answers, but they are prone to the generation of so-called “paradoxes” if the reasoning is not closely followed, so use invariant quantities if you can.