On a Fractal Version of Witten’s M-Theory

作     者：Mohamed S. El Naschie Mohamed S. El Naschie

作者机构：Department of Physics Faculty of Science University of Alexandria Alexandria Egypt 

出 版 物：《International Journal of Astronomy and Astrophysics》 (天文学与天体物理学国际期刊（英文）)

年 卷 期：2016年第6卷第2期

页      面：135-144页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：M-Theory E-Infinity Theory Hardy’s Quantum Entanglement Transfinite Turing Computer Dark Energy Accelerated Cosmic Expansion Noncommutative Geometry Superstring Theory Scale Relativity Cantorian-Fractal Spacetime Witten’s Theory ‘tHooft Renormalon Pure Gravity Penrose Tiling 

摘      要：Starting from Witten’s eleven dimensional M-theory, the present work develops in an analogous way a corresponding dimensional fractal version where . Subsequently, the new fractal formalism is utilized to determine the measured ordinary energy density of the cosmos which turns out to be intimately linked to the new theory’s fractal dimension via non-integer irrational Lorentzian-like factor: where is Hardy’s probability of quantum entanglement. Consequently, the energy density is found from a limiting classical kinetic energy to be Here, is ‘tHooft’s renormalon of dimensional regularization. The immediate logical, mathematical and physical implication of this result is that the dark energy density of the cosmos must be in astounding agreement with cosmic measurements and observations.