Spacetime from Zitterbewegung

• 作者: Mohamed S. El Naschie
• 来源期刊: 建模与仿真(英文)
• 学科: 物理学
• 关键词: ZITTERBEWEGUNG E-INFINITY Theory Quantum Physics EINSTEIN SPACETIME Fractal SPACETIME WITTEN SPACETIME 'tHooft Cellular AUTOMATON
• 年，卷（期）: 2017,（3）
• 页码范围: 169-173
• 页数: 5页
• 分类号: O4

摘要

Quantum particles are assumed to have a path constituting a random fluctuation super imposed on a classical one resulting in a golden mean spiral propagating in spacetime. Consequently, the dimension of the path of the quantum particle is given by one plus the random Cantor set Zitterbewegung, i.e. 1+Øwhere Øis the golden mean Hausdorff dimension of a random Cantor set. Proceeding in this way, we can derive the basic topological invariants of the corresponding spacetime which turned out to be that of E-infinity spacetime 4+Ø3 as well as a fractal Witten’s M-theory 11+Ø5. Setting Ø3 and Ø5 equal zero, we retrieve Einstein’s spacetime and Witten’s M-theory spacetime respectively where Ø3 is the latent Casimir topological pressure of spacetime and Ø5 is Hardy’s quantum entanglement of the same.