Article citationsMore>>

El Naschie, M.S., Olsen, S, He, J-H., Marek-Crnjac, L., Nada, S.I. and Helal, M.A. (2012) On the Need for Fractal Logic in High Energy Quantum Physics. Fractal Spacetime & Noncommutative Geometry in Quantum & High Energy Physics, 2, 80-92.

has been cited by the following article:

• 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.