A Fractal Rindler-Regge Triangulation in the Hyperbolic Plane and Cosmic de Sitter Accelerated Expansion

• 作者: Mohamed S. El Naschie
• 来源期刊: 量子信息科学期刊(英文)
• 学科: 数学
• 关键词: 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
• 年，卷（期）: 2015,（1）
• 页码范围: 24-31
• 页数: 8页
• 分类号: O1

摘要

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.