On the complexification of Minkowski spacetime

Abstract

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