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Hubble Scale Dark Energy Meets Nano Scale Casimir Energy and the Rational of Their T-Duality and Mirror Symmetry Equivalence
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作者 M.S.El Naschie 《World Journal of Nano Science and Engineering》 2015年第3期57-67,共11页
We establish that ordinary energy, Casimir energy and dark energy are not only interlinked but are basically the same thing separated merely by scale and topology. Casimir energy is essentially a nano scale spacetime ... We establish that ordinary energy, Casimir energy and dark energy are not only interlinked but are basically the same thing separated merely by scale and topology. Casimir energy is essentially a nano scale spacetime phenomenon produced by the boundary condition of the two Casimir plates constituting the Casimir experimental set up for measuring the Casimir force. By contrast dark energy is the result of the cosmic boundary condition, i.e. the boundary of the universe. This one sided M?bius-like boundary located at vast cosmic distance and was comparable only to the Hubble radius scales of the universe. All the Casimir energy spreads out until the majority of it reaches the vicinity of the edge of the cosmos. According to a famous theorem due to the Ukrainian-Israeli scientist I. Dvoretzky, almost 96% of the total energy will be concentrated at the boundary of the universe, too far away to be measured directly. The rest of the accumulated Casimir energy density is consequently the nearly 4% to 4.5%, the existence of which is confirmed by various sophisticated cosmic measurements and observations. When all is said and done, the work is essentially yet another confirmation of Witten’s T-duality and mirror symmetry bringing nano scale and Hubble scale together in an unexpected magical yet mathematically rigorous way. 展开更多
关键词 Mirror Symmetry casimir energy Dark energy Zero Point Vacuum energy T-DUALITY Nano Scale-Hubble Scale Mobius Holographic Boundary Dvoretzky’s Theorem Banach-Tarski Theorem
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Max Planck Half Quanta as a Natural Explanation for Ordinary and Dark Energy of the Cosmos
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作者 Mohamed S. El Naschie 《Journal of Modern Physics》 2016年第12期1420-1428,共9页
The work gives a natural explanation for the ordinary and dark energy density of the cosmos based on conventional quantum mechanical considerations which dates back as far as the early days of the quantum theory and s... The work gives a natural explanation for the ordinary and dark energy density of the cosmos based on conventional quantum mechanical considerations which dates back as far as the early days of the quantum theory and specifically the work of Max Planck who seems to be the first to propose the possibility of a half quanta corresponding to the ground state, i.e. the energy zero point of the vacuum. Combining these old insights with the relatively new results of Hardy’s quantum entanglement and Witten’s topological quantum field theory as well as the fractal version of M-theory, we find a remarkably simple general theory for dark energy and the Casimir effect. 展开更多
关键词 Half Quanta Dark energy Hardy’s Entanglement casimir energy Topological Quantum Field Witten’s Theory Pointless Geometry Non-Commutative Geometry Fractal Spacetime Dark Matter tHooft Renormalization E-Infinity Theory Cantor Sets
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