Dynamical Fractal 3-Space and the Generalised Schrodinger Equation: Equivalence Principle and Vorticity Effects

Abstract

The new dynamical `quantum foam' theory of 3-space is described at the classical level by a velocity field. This has been repeatedly detected and for which the dynamical equations are now established. These equations predict 3-space `gravitational wave' effects, and these have been observed, and the 1991 DeWitte data is analysed to reveal the fractal structure of these `gravitational waves'. This velocity field describes the differential motion of 3-space, and the various equations of physics must be generalised to incorporate this 3-space dynamics. Here a new generalised Schrodinger equation is given and analysed. It is shown that from this equation the equivalence principle may be derived as a quantum effect, and that as well this generalised Schr\"{o}dinger equation determines the effects of vorticity of the 3-space flow, or `frame-dragging', on matter, and which is being studied by the Gravity Probe B (GP-B) satellite gyroscope experiment.