TITLE:
A Fractal Rindler-Regge Triangulation in the Hyperbolic Plane and Cosmic de Sitter Accelerated Expansion
AUTHORS:
Mohamed S. El Naschie
KEYWORDS:
Component, Hyperbolic Regge Calculus, Finite Elements in Cosmology, de Sitter Universe, E-Infinity Theory, Transfinite Turing Golden Mean Computer, Rindler Triangulation, Endophysics, Anti-Bethes Poof, Topological Quantum Entanglement, Gauss-Bolyai-Lobachevsky Geometry
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.5 No.1,
March
25,
2015
ABSTRACT: The well
known finite elements Regge calculus is transformed to a triangulation in the
hyperbolic plane using fractal Rindler wedges as tiling elements. The final
result is an expanding de Sitter hyperbolic, i.e. Gauss-Bolyai-Lobachevsky universe with dark energy and
ordinary energy densities in full agreement with cosmic observations and
measurements. In the course of obtaining this vital result, the work addresses
fundamental points connected to a host of subjects, namely Hardy’s quantum
entanglement, an extension of Turing’s machine to a transfinite version, the
phenomenon of measure concentration in the context of Banach-like spaces with
high dimensionality as well as the pioneering work on the relation between
quantum entanglement and computational efficiency.