Complexification of Mink owskian Spacetime

Abstract

It is well known that any two arbitrary observers Sand 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 Kahler 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 ill quantum gravity, quantum super string theory, particle physics and cosmology.