https://popups.uliege.be/3041-539x/index.php?id=2481 Publications of Auteurs Elizabeth A. Rauscher fr 0 https://popups.uliege.be/3041-539x/index.php?id=3756 We develop a formalism for the Schrôdinger equation in an eight dimensional complex Minkowski space and discuss its relation to the Dirac equation, properties of nonlocality, remote connectedness, Young's double slit experiment, Bell's Theorem, the EPR paradox and anticipatory parameters of spacetime; and also identify an imaginary temporal component as a small nonlinear term and find soliton or solitary wave solutions. These coherent solutions can carry information over long distances, are consistent with Lorentz invariance and appear to provide a fundamental methodology for describing the issue of quantum measurement and a new context for the basis of quantum theory. In the Copenhagen view models of reality are not desirable. However our new approach may enable the redefinition of concepts of reality from a new nonlocal anticipatory quantum theory. Certainly the most desirable consequence of scientific discovery is the ability to redefine our concepts of reality. Thu, 26 Sep 2024 15:14:25 +0200 Tue, 08 Oct 2024 14:19:27 +0200 https://popups.uliege.be/3041-539x/index.php?id=3756 https://popups.uliege.be/3041-539x/index.php?id=3750 The dual torus topology occupies a central role in the spinor, twistor and quaternionic formulation. This topology appears to be ubiquitous in astrophysical and cosmological phenomena and is predicted by the U4 bubble of the affine connection in the Haramein-Rauscher solution to Einstein's field equations. The geometric structure of the complexified Minkowski space is associated with the twistor algebra, spinor calculus, and the SUn groups of the quatemionic formalism. Hence quantum theory and relativity are related mathematically through the dual torus topology. Utilizing the spinor approach, electromagnetic and gravitational metrics are mappable to the twistor algebra, which corresponds to the complexified Minkowski space. Quaternion transformations relate to spin and rotation corresponding to the twistor analysis Thu, 26 Sep 2024 14:31:23 +0200 Tue, 08 Oct 2024 13:17:20 +0200 https://popups.uliege.be/3041-539x/index.php?id=3750 https://popups.uliege.be/3041-539x/index.php?id=3703 We simulate the emergence of 2-branes from the spacetime backcloth utilizing the Discrete lncursive Oscillator (DIO) Thu, 26 Sep 2024 10:48:43 +0200 Tue, 08 Oct 2024 13:20:07 +0200 https://popups.uliege.be/3041-539x/index.php?id=3703 https://popups.uliege.be/3041-539x/index.php?id=2480 We have developed Non-Abelian gauge groups for real and complex amended Maxwell's equations in a complex 8-Dimensional Minkowski space to describe nonlocality in quantum theory and relativity which has quantum gravitational implications. We demonstrate a mapping between the twistor algebra of the complex 8-space and the spinor calculus of 5D Kaluza-Klein geometry which attempts to unify Gravitational and EM theory. Our quantum formalism demonstrates that solving the Schrödinger equation in a 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. Through this formalism we can assess that complex systems can be defined within conventional quantum theory as long as we express that theory in a hyper-geometric space. We utilize our complex dimensional geometry to formulate nonlocal correlated phenomena, including the quantum description of the 1935 EPR paradox formulated with Bell's theorem. Tests by Clauser, Aspect, Gisin have demonstrated that particles emitted with approximde simultaneity at c remain correlated nonlocally over meter and kilometer distances. As Stapp has said, Bell's theorem and its experimental verification is one of the most profound discoveries of the 20th century. We will demonstrate the application of our formalism for complex systems and review the history of our model from 1974. Fri, 23 Aug 2024 13:26:24 +0200 Fri, 23 Aug 2024 13:26:32 +0200 https://popups.uliege.be/3041-539x/index.php?id=2480