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The paper presents a very simpleand straight forward yet pure mathematical derivation of the structure ofactual spacetime from quantum set theory. This is achieved by utilizingelements of the topological theory of cobordism and the Menger-Urysohndimensional theory in conjunction with von Neumann-Connes dimensional functionof Klein-Penrose modular holographic boundary of the E8E8 exceptional Lie groupbulk of our universe. The final result is a lucid sharp mental picture, namelythat the quantum wave is an empty set representing the surface, i.e.boundary of the zero set quantum particle and in turn quantum spacetime issimply the boundary or the surface of the quantum wave empty set. The essentialdifference of the quantum wave and quantum spacetime is that the wave is asimple empty set while spacetime is a multi-fractal type of infinitely manyempty set withincreasing degrees of emptiness.


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

Cite this paper

Naschie, M. 2016 The Emergence of Spacetime from the Quantum in Three Steps. Advances in Pure Mathematics, 6, 446-454. doi: 10.4236-apm.2016.66032.

Autor: Mohamed S. El Naschie



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