The Fundamental Nature of Complexified Minkowski Space in Theoretical and Applied Physics
Elizabeth A. Rauscher & RICHARD L. AMOROSO
Noetic Advanced Studies Institute
608 Jean St. Oakland, CA 94610-1422 USA
Abstract. A Calabi-Yau dual/mirror symmetry topology occupies a central role in the spinor, twistor and quaternionic formulations of the M-Theory vacuum . This topology appears to be ubiquitous in astrophysical and cosmological phenomena and is predicted by the U4 bubble of the affine connection in certain solutions to Einsteinís field equations. The geometric structure of complexified Minkowski space is associated with the twistor algebra, spinor calculus, and the SUn -SL groups of the quaternionic formalism. Hence quantum theory and relativity are related mathematically through Kahler manifolds like dual Calabi-Yau 3-folds. Utilizing the spinor approach, electromagnetic and gravitational metrics are mappable through Riemann sheets utilizing the twistor algebra, which corresponds to the complexified Minkowski space. Quaternion transformations relate to spin and rotation and also are shown to make correspondence to the twistor analysis.
Keywords: Calabi -Yau manifolds, Quaternions, Spinors, Spacetime, Twistors