Quantum mechanics as demanded by the special theory of relativity

Erkki Brändas

Irving Stein

Abraham Albert Ungar

Special relativity theory stems from the Lorentz transformation of signature (1,3). The incorporation into special relativity of the Lorentz transformations of signature (m,n) for all m,n∈N (n = 3 in physical applications) enriches the theory. The resulting enriched special relativity is a friendly extended special relativity that admits multi-particle entanglement, as demanded by relativistic quantum mechanics. The Lorentz transformation of signature (m,n) admits a novel physical interpretation induced by the intuitively clear interpretation of the Galilei transformation of signature (m,n) for all m,n > 1. In this sense we understand Lorentz utilizing Galilei in m temporal and n spatial dimensions, resulting in the emergence of multi-particle entanglement that the enriched special theory of relativity admits. Remarkably, it turns out that, for any m,n∈ℕ, the group of Lorentz transformations of signature (m,n) is the symmetry group that underlies any multi-particle system that consists of m n - dimensional entangled particles.

Gerhard Grössing

Philip J. Carter

A higher-dimensional spacetime model is proposed, accounting for nonlocal quantum phenomena while embracing Special Relativity as a limiting case. The Aspect and Megidish experiments are explained within this spacetime framework. Time is understood as spatial motion relative to higher dimensions, offering the degrees of freedom demanded by nonlocal effects along with a consistent milieu for Kaluza’s 5-dimensional Einstein-Maxwell theory. Special Relativity and quantum mechanics converge in the higher dimensions to yield the origins of mass while providing a geometrical mechanism relating mass and spacetime curvature (gravity). Part Two introduces a consciousness model within the higherdimensional spacetime framework, integrating elements of physics, psychology, philosophy and metaphysics. Evidence from dreams is shown to correspond to both the physical model and the consciousness model. A theory of perception is presented on the foregoing basis.

Joginder Singh Galsin