The physical implications of multidimensional geometries and measurement

Abstract. Non-Abelian gauge groups for real and complex amended Maxwell’s equations in a complex 8-Dimensional Minkowski space are developed to describe nonlocality in quantum theory and Relativity which has quantum gravitational implications. Mapping between the twistor algebra of the complex 8-space and the spinor calculus of 5D Kaluza-Klein geometry attempts to unify Gravitational and EM theory. Solving the Schrödinger equation in complex 8D geometry yields coherent collective state phenomena with soliton wave solutions. The model shows that standard quantum theory is a linear approximation to a higher Dimensional complex space allowing nonlinear systems to be defined with in conventional quantum theory expressed in a hyper-geometric space