Abstract
This tutorial review is dedicated to the work of the outstanding Egyptian theoretical physicist and engineering scientist Prof. Mohamed El Naschie. Every physics student knows the well-known Einstein’s mass-energy equation, E=mc2, but unfortunately for physics, few know El Naschie’s modification, E(O)=mc2/22, and El Naschie’s dark energy equation E(D)=mc2(21/22) although this new insight has truly far reaching implications. This paper gives a short tutorial review of El Naschie’s fractal-Cantorian space-time as well as dark energy. Emphasis is put on the fundamental concept of Cantor set, fractal dimensions, zero set, empty set, and Casimir effect.
Highlights
Modern theoretical physics has a truly fascinating and marvellous story to tell and teach everyone, physics students, regarding its logical structure and development [1] [2]
Before that we show that ordinary energy is identical to Casimir energy and that the cosmological dark energy is the complimentary energy of the Casimir energy
E-infinity Particle-Wave Duality In E-infinity theory, the pre-quantum particle as well as the pre-quantum wave follows from the fundamental equation fixing the invariants of the noncommutative E-infinity space-time [38]
Summary
Modern theoretical physics has a truly fascinating and marvellous story to tell and teach everyone, physics students, regarding its logical structure and development [1] [2]. Einstein’s theory of relativity, which he designed in a smooth four dimensional space-time, was the first major modern revolution in theoretical physics since Newton and Maxwell [1]. That but the work of Einstein was positioned somehow in many respects between relativity and the revolution, namely quantum mechanics This is so despite Einstein’s reluctance to embrace quantum entanglement [3] and the fundamental changes. L. Marek-Crnjac in our philosophy which this new theory implies [4] [5]. Marek-Crnjac in our philosophy which this new theory implies [4] [5] These fascinating aspects of Einstein’s work and the implication of El Naschie’s extension [6] are the subject of the present tutorial. We included many important references for work related to El Naschie’s E-infinity theory
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