Struggling to Understand the Fundamental Role Played by the Golden Mean Number System in Science and Art: Speculation on Penrose’s Fractional Tiling in Art, High Energy Physics and Quantum Cosmology
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- Golden Mean Number System, Unification of Science and Art, Penrose Fractal Tiling L Hardys Quantum Entanglement, A Connes Non-commutative Geometry, Von Neumann Pointless Fractal Geometry, Golden Mean Scaling, Non-super Symmetric Quantum Gravity Couplin
- M. S. El Naschie
- The aim of the present paper is to explain the deep connection between El Naschie’s E-Infinity Cantorian spacetime theory and the work of Sir R. Penrose's fractal tiling universe, Prof. A. Connes’ non-commutative geometry, Von Neumann’s pointless continuous geometry, L. Hardy’s quantum entanglement, Nobel Laureate D. Gross’ Heterotic string theory and Nobel Laureate Gerard t’Hooft’s renormalon. Thus we present here a short but nevertheless comprehensive attempt to comprehend the maze of interrelations between art, science and philosophy wrapped into the mathematical language of the golden mean number system which was developed and flourished in Alexandria-Egypt due to the dedicated work of the luminous stars of the Greco-Egyptian civilization notably Socrates, Pythagoras, Aristotle and Plato.
Full text: IJISM_933_FINAL.pdf [Bibtex]