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.
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El Naschie, M.S. (2014) On a New Elementary Particle from the Disintegration of the Symplectic ’t Hooft-Veltman-Wilson Fractal Spacetime. World Journal of Nuclear Science and Technology, 4, 216-221. http://dx.doi.org/10.4236/wjnst.2014.44027
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El Naschie, M.S. (2014) From E = mc2 to E = mc2/22—A Short Account of the Most Famous Equation in Physics and Its Hidden Quantum Entangled Origin. Journal of Quantum Information Science, 4, 284-291. http://dx.doi.org/10.4236/jqis.2014.44023
