Apriori -- before taking any of the postulates of special relativity into account -- we might say that the lorentz transformations between two frames K and K', where K' is moving w. speed v along the x-axis of K, is given by
$$\vec{x}' = F(\vec x, t)$$
and
$$t' = G(\vec x, t).$$
Now, i want to conclude that ##y' = y## and ##z'=z## as well as ##x' = F(x,t)##. I believe this follows form homogeniety of space and time, but I do now know exactly how to make the argument.
$$\vec{x}' = F(\vec x, t)$$
and
$$t' = G(\vec x, t).$$
Now, i want to conclude that ##y' = y## and ##z'=z## as well as ##x' = F(x,t)##. I believe this follows form homogeniety of space and time, but I do now know exactly how to make the argument.
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