The Emergence of Spacetime from the Quantum in Three Steps  

作　　者：Mohamed S. El Naschie Mohamed S. El Naschie(Department of Physics, Faculty of Science, University of Alexandria, Alexandria, Egypt)

机构地区：[1]Department of Physics, Faculty of Science, University of Alexandria, Alexandria, Egypt

出　　处：《Advances in Pure Mathematics》2016年第6期446-454,共9页理论数学进展（英文）

摘　　要：The paper presents a very simple and straight forward yet pure mathematical derivation of the structure of actual spacetime from quantum set theory. This is achieved by utilizing elements of the topological theory of cobordism and the Menger-Urysohn dimensional theory in conjunction with von Neumann-Connes dimensional function of Klein-Penrose modular holographic boundary of the E8E8 exceptional Lie group bulk of our universe. The final result is a lucid sharp mental picture, namely that the quantum wave is an empty set representing the surface, i.e. boundary of the zero set quantum particle and in turn quantum spacetime is simply the boundary or the surface of the quantum wave empty set. The essential difference of the quantum wave and quantum spacetime is that the wave is a simple empty set while spacetime is a multi-fractal type of infinitely many empty sets with increasing degrees of emptiness.The paper presents a very simple and straight forward yet pure mathematical derivation of the structure of actual spacetime from quantum set theory. This is achieved by utilizing elements of the topological theory of cobordism and the Menger-Urysohn dimensional theory in conjunction with von Neumann-Connes dimensional function of Klein-Penrose modular holographic boundary of the E8E8 exceptional Lie group bulk of our universe. The final result is a lucid sharp mental picture, namely that the quantum wave is an empty set representing the surface, i.e. boundary of the zero set quantum particle and in turn quantum spacetime is simply the boundary or the surface of the quantum wave empty set. The essential difference of the quantum wave and quantum spacetime is that the wave is a simple empty set while spacetime is a multi-fractal type of infinitely many empty sets with increasing degrees of emptiness.

关 键 词：Quantum Spacetime Transfiite Theory Noncommutative Geometry ‘tHooft-Susskind Holography Cantorian Spacetime Penrose-Connes Fractal Universe E-Infinity Theory E8 Exceptional Lie 

分 类 号：O41[理学—理论物理]