Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime
American Journal of Astronomy and Astrophysics
Volume 2, Issue 3, May 2014, Pages: 34-37
Received: Jun. 8, 2014; Accepted: Jul. 28, 2014; Published: Aug. 10, 2014
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Author
Mohamed S. El Naschie, Dept. of Physics, University of Alexandria, Alexandria, Egypt
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Abstract
We show how Einstein’s four dimensionality of spacetime arises via a Hardy quantum entanglement form of compactification acting on Veneziano bosonic strings space. In turn this quantum entanglement mechanism is directly connected to the transfinite version of Heterotic string’s dimensional hierarchy, i.e. 26, 16, 10, 6, 4 and leads directly to ‘tHooft-Veltman-Wilson fractal spacetime of dimensional renormalization from which the missing 95.5% dark energy density of the cosmos may be accurately determined. Furthermore we predict the existence of a quasi dimensional regularization quasi particle with a topological mass charge equal to twice that of Hardy's entanglement.
Keywords
Quantum Entangled Dimensions, Einstein’s Smooth Space, ‘tHooft’s Fractal Spacetime, Cosmic Expansion, Dark Energy, Feigenbaum Turbulence, New Elementary Particle form Dimensional Regularization, Dimensional Renormalization
To cite this article
Mohamed S. El Naschie, Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime, American Journal of Astronomy and Astrophysics. Vol. 2, No. 3, 2014, pp. 34-37. doi: 10.11648/j.ajaa.20140203.12
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