Dynamical Fractal 3-Space and the Generalised Schrodinger Equation: Equivalence Principle and Vorticity Effects
Reginald T. Cahill (Flinders University)

TL;DR
This paper introduces a dynamical 3-space theory with fractal properties, generalizes the Schrödinger equation to include 3-space effects, and derives the equivalence principle and vorticity influences on matter, linking theory with experimental observations.
Contribution
It presents a new dynamical 3-space model, derives a generalized Schrödinger equation, and connects quantum effects with gravitational phenomena and experimental data.
Findings
Detection of fractal gravitational wave structures
Derivation of the equivalence principle as a quantum effect
Prediction of vorticity effects on matter observable by Gravity Probe B
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…
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Taxonomy
TopicsQuantum Mechanics and Applications · Advanced Mathematical Theories and Applications · Relativity and Gravitational Theory
