  Some concepts of real and complex projective geometry are applied to the
fundamental physical notions that relate to Minkowski space and the Lorentz
group. In particular, it is shown that the transition from an infinite speed of
propagation for light waves to a finite one entails the replacement of a
hyperplane at infinity with a light cone and the replacement of an affine
hyperplane - or rest space - with a proper time hyperboloid. The transition
from the metric theory of electromagnetism to the pre-metric theory is
discussed in the context of complex projective geometry, and ultimately it is
proposed that the geometrical issues are more general than electromagnetism,
namely, they pertain to the transition from point mechanics to wave mechanics.
