Do some modern VORs not spin?
There are no spinning parts in the VOR.

It typically uses 60 antennae in a phased antenna array to steer the beam in a rotating sweep.

The VOR transmits a constant omnidirectional signal.  The phase of the secondary sweeping directional beam is varied in time such that it is out of phase with the constant signal by the same number of degrees from North.  The receiver measures the phase difference between the constant and sweeping signals to determine its bearing from the transmitter.