-
One can ask that question.
-
So, when we look at that,
-
we'll find out that that's not the case;
-
t^2+x^2 is not invariant.
-
But even before you do that,
-
you should shudder at the prospect of writing something like this. Right?
-
What's wrong with this?
-
Good. Everyone's on top of the units here.
-
So, you cannot add t^2 and x^2.
-
There is no way this can be anything.
-
So, we know how we have to fix that.
-
We've got to have either both coordinates in space-time