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I am a shool student, who is generally inerested in Physics and especially in Relativity.

So I'm reading a fascinating book about Einstein's theory at this moment (it's in German and it's called Newton, Einstein und die Relativitaetstheorie of Harald Fritzsch).

And I've just learned, that although time and space depend on the relative movement of the observer, one thing (together with c) remains constant in every system. And this is the difference of the square of time- square of space. This is proved in the book with the help of the definition of the gamma factor. One should note that here the v used during this proof is v/c.

Then the book says the exact term of this difference should be (ct)^2 - x^2 .

normaly there is a term for the 3 dimensions. this is the one for the x-Direction

well... my question is: how can one prove that this is also constant? or in other words, why is this term the general one?

I hope you understood my problem

Thank you in advance,

y_stassin