Spacetime interval Definition and 52 Threads

Hi, I was wondering if there was a way to prove the invariance of the space-time interval just from postulating a constant speed of light and an isotropic space-time. Most arguments go "from the Lorentz transformations it can be seen that the interval is invariant." Can we show the...

I got this formula for calculating the distance between spacetime intervals at Wikipedia: ds^2 = c^2dt^2 - dx^2 - dy^2 - dz^2 Now first I thought the d was supposed to be the Greek delta which my physics teacher uses to indicate a difference of the following variable, instead of just...