On the complexification of Minkowski spacetime

Abstract

It is well known that any two arbitrary observers S and S moving
relative to each other with a speed v < c in isotropic space see a 4-
dimensional real spacetime. We demonstrate that the two observers
should naturally see the spacetime as a complexified 4-dimensional
manifold described by the Kähler manifold commonly studied in string
theory. Such a complex spacetime has, on large scales, been
demonstrated to be a natural consequence of special relativity when
quantum effects are included in relativistic mechanics and are thus of
much significance in quantum gravity, quantum super string theory,
particle physics and cosmology