Super Unification of Physics and Mathematics
Keywords:
Penrose's fractal tiling universe, Witten's topology, Alain Connes' non-commutative geometry, Feigenbaum's golden mean groups, David Gross' heterotic strings, P-Adic unification, Golden mean number system, Alexandria School of philosophy, El Naschie quantum relativity theory.
Abstract
This short letter proposes to convert physics and mathematics not to classical mathematical physics but to a far more radically different entity. We call this new logical product "wild topology" which is also known as a general kind of topology ramifying into a Cantor set. Thus the work goes far more beyond our older P-Adicunification of physics and mathematics.
In the course of this process, we enhance both understanding as well as computation of not only classical physics but more importantly also quantum physics and cosmology. In particular, we free quantum mechanics from several of the paradoxes and counter intuitive features which has historically plagued it since its very inception.
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References
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[2] M. S. El Naschie. Intermediate prerequisites of E-Infinity theory (further recommended reading in nonlinear dynamics and mathematical physics). C, S & F [2006]. Volume 30 issue 3, year 2006 pp. 622-628.
[3] Scott Olsen, L. Marek Crnjac, J.H.He and M.S. El Naschie. A grand unification of the sciences, art and consciousness: Rediscovering the Pythagorean Plato Golden mean number system. Journal of Progressive Research in Mathematics. Volume 16 No 2 [2929] pp. 2888-2931.
[4] M. S. El Naschie. World formula interpretation of E = mc2. International journal of progressive research in mathematics. Vol. 5, issue 6 [2018] pp 67-75.
[5]R. O. Green, T.H. Painter, D. A. Roberts and J. Dozier. Measuring the expressed abundance in three phases of water with imaging spectrometer over melting snow. Water Resources Research. Vol. 43. [2006] W10402 pp. 1-12.
[6] M. S. El Naschie. Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics. C, S & F [2002] vol. 13 No 9 pp. 1935-1945 [2002].
[7] M. S. El Naschie. Quarks confinement via Kaluza-Klein theory as a topological property of quantum classical space time phase transition. Vol 35 issue 5 pp. 825-829.
[8] M. S. El Naschie. Time symmetry breaking, duality and Cantorian space time. C, S & F vol. 7 issue 4 [1996] pp 499-518.
[9] M. S. El Naschie. On a fuzzy Kähler-like manifold which is consistent with the two slit experiment. International journal of nonlinear sciences and numerical simulations. volume 6 No 2 [2095] pp 95-97.
[10] M. S. El Naschie. Is quantum space time a random cantor set with a golden mean dimension at the core? C, S & F [1194] volume 4 issue 2 pp. 177-179 [1994].
[11] M. S. El Naschie. Elements of a new set theory based quantum mechanics with applications in high energy quantum physics and cosmology. International journal of high energy physics. Vol. 4 issue 6 December 2017 pp 65-74.
[12] L. Marek-Crnjac. The Hausdorff dimension of the Penrose Universe. Physics Research International. Vol. 2011 Article ID874302 pp. 1-4.
[13] B. B. Mandelbrot. The fractal geometry of Nature. Vol. 1. WH Freeman, New York [1982].
[14] M. S. El Naschie. A fractal Menger sponge space time proposal to reconcile measurements and theoretical prediction of cosmic dark energy. International journal of modern nonlinear theory and application. Vol. 2 No (2) [2013] pp 107-122.
[15] Alain Connes. Non-commutative Geometry. Academic Press. San Diego [1994].
[16] A. Connes, MR Douglas and A. Schwartz. Non-commutative geometry and matrix theory. Journal of High Energy Physics. Published 19 February 1998. Vol. (1998) Alain Connes et al JHP0#(1998)003.
[17] Ludwig Wittgenstein. Tractatus Logico-Philosophicus. Routledge [2013] Vancouver, Canada.
[18] JH He. A tutorial review on fractal space time and fractional calculus. International journal of theoretical physics. Vol. 53 issue 11 pp. 3698-3718 [2014].
[19] M. S. El Naschie. Fuzzy Wilson Loops, Witten's topological field theory and golden mean number system theory as the deep roots of Hardy’s entanglement. International journal of innovations in mathematics and science. To be published.
[20] Rene Thom. Structural stability and morphogenetic. S. A. Benjamin’s Inc. Reading (UK), Massachusetts (USA) [1975].
[21] M. S. El Naschie. Chaos and generalized bifurcation in science and engineering: Current advances in mechanical design and production IV Pergamon press. Elsevier [1989] Oxford pp. 369-399.
[22] M. S. El Naschie. An elementary introduction to Catastrophe theory. Chapter (19) in M. S. El Naschie's book: Stress, Stability and Chaos in structural engineering. An energy approach. pp 546-557. published by McGraw-Hill Company (UK) 1990 London.
[23] M. S. El Naschie. P-Adic unification of the fundamental forces and the standard model. C, S & F [2008] vol. 38 issue 4 pp. 1011-1012 [2008].
[24] M. S. El Naschie. P-Adic analysis and the transfinite E8 exceptional Lie symmetry group unification. C, S & F. vol. 38 issue 3 pp. 612-614 [2008].
[25] Leila Marek-Crnjac. Cantorian spacetime theory: The physics of the empty set in connection with quantum entanglement and dark energy. Book published by LAP Lambert Academic Publishing. Saarbrucken Germany, ISBN 978-3-659-12876-9. January 2013.
[26] M. S. El Naschie and L. Marek-Crnjac. Set theoretical foundation of quantum mechanics, NASA EM drive technology and minimal surface interpretation of the state vector reduction of the quantum wave collapse. Chaos Complexity letters 12(2) 2018 pp. 85-100.
[27] M. S. El Naschie, S. Olsen, Ji-Huan He, S. Nada, L. Marek-Crnjac and A. M. Helal. On the need for fractal logic in high energy quantum physics. International Journal of Modern nonlinear theory and applications. Vol 1 No 3 [2012] pp 84-92.
[28] M. A. Helal, AR. Seadawy, RS. Ibrahim. Variational principle for Zakharov-Shabat equation in two dimensions [2013]. Applied Mathematics and computation 219(10) pp. 5635-5648 [2013]. volume 219 No. 10.
[29] Garnet Ord (Guest Editor). Transfinite physics. Treading the path of Cantor and Einstein.)A collection of papers in honor of the Egyptian Engineering scientist and theoretical physicist Mohamed El Naschie. C, S & F volume 25, issue 4. August 2005.
[30] Laurent Nottale. Fractal space-time and Microphysics. World Scientific - Singapore [1995].
[31] Ji-Huan He (Editor-in-chief). International Journal of Electrospan, Nanofibers and applications. Vol. 1 Number 1. January 2017 pp. 81-87 [2017] Publishing Research Science Press (India).
[32] Edward Witten (Editor). Einstein in Alexandria. Published by Bibliotheca Alexandrina. Alexandria Egypt [2006] pp. 1-179.
[33] Peter Weibel, Garnet Ord and Otto Rossler (Editors). Spacetime physics and fractality. Festfhrift in honor of Mohamed El Naschie on the occasion of his 60th birthday. Springer Publishing. Vienna, New York [2005].
[34] Mohamed S. El Naschie, Ji-Huan He and Leila Marek-Crnjac. Topological fluctuation and Dvoretzky's Theorem - Mathematical proofs in the context of the dark energy density of the universe. Journal of Progressive Research in Mathematics. Volume 16 No 3, published 2020-07-10. pp. 2969-2985 [2020]. ISSN: 2395-0218.
[35] He, JH. Fractal calculus and its geometrical explanation. Results in Physics. volume 10 [2018] pp. 272-276. Doi, 10.1016/j. rinp 2018.06.11
[2] M. S. El Naschie. Intermediate prerequisites of E-Infinity theory (further recommended reading in nonlinear dynamics and mathematical physics). C, S & F [2006]. Volume 30 issue 3, year 2006 pp. 622-628.
[3] Scott Olsen, L. Marek Crnjac, J.H.He and M.S. El Naschie. A grand unification of the sciences, art and consciousness: Rediscovering the Pythagorean Plato Golden mean number system. Journal of Progressive Research in Mathematics. Volume 16 No 2 [2929] pp. 2888-2931.
[4] M. S. El Naschie. World formula interpretation of E = mc2. International journal of progressive research in mathematics. Vol. 5, issue 6 [2018] pp 67-75.
[5]R. O. Green, T.H. Painter, D. A. Roberts and J. Dozier. Measuring the expressed abundance in three phases of water with imaging spectrometer over melting snow. Water Resources Research. Vol. 43. [2006] W10402 pp. 1-12.
[6] M. S. El Naschie. Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics. C, S & F [2002] vol. 13 No 9 pp. 1935-1945 [2002].
[7] M. S. El Naschie. Quarks confinement via Kaluza-Klein theory as a topological property of quantum classical space time phase transition. Vol 35 issue 5 pp. 825-829.
[8] M. S. El Naschie. Time symmetry breaking, duality and Cantorian space time. C, S & F vol. 7 issue 4 [1996] pp 499-518.
[9] M. S. El Naschie. On a fuzzy Kähler-like manifold which is consistent with the two slit experiment. International journal of nonlinear sciences and numerical simulations. volume 6 No 2 [2095] pp 95-97.
[10] M. S. El Naschie. Is quantum space time a random cantor set with a golden mean dimension at the core? C, S & F [1194] volume 4 issue 2 pp. 177-179 [1994].
[11] M. S. El Naschie. Elements of a new set theory based quantum mechanics with applications in high energy quantum physics and cosmology. International journal of high energy physics. Vol. 4 issue 6 December 2017 pp 65-74.
[12] L. Marek-Crnjac. The Hausdorff dimension of the Penrose Universe. Physics Research International. Vol. 2011 Article ID874302 pp. 1-4.
[13] B. B. Mandelbrot. The fractal geometry of Nature. Vol. 1. WH Freeman, New York [1982].
[14] M. S. El Naschie. A fractal Menger sponge space time proposal to reconcile measurements and theoretical prediction of cosmic dark energy. International journal of modern nonlinear theory and application. Vol. 2 No (2) [2013] pp 107-122.
[15] Alain Connes. Non-commutative Geometry. Academic Press. San Diego [1994].
[16] A. Connes, MR Douglas and A. Schwartz. Non-commutative geometry and matrix theory. Journal of High Energy Physics. Published 19 February 1998. Vol. (1998) Alain Connes et al JHP0#(1998)003.
[17] Ludwig Wittgenstein. Tractatus Logico-Philosophicus. Routledge [2013] Vancouver, Canada.
[18] JH He. A tutorial review on fractal space time and fractional calculus. International journal of theoretical physics. Vol. 53 issue 11 pp. 3698-3718 [2014].
[19] M. S. El Naschie. Fuzzy Wilson Loops, Witten's topological field theory and golden mean number system theory as the deep roots of Hardy’s entanglement. International journal of innovations in mathematics and science. To be published.
[20] Rene Thom. Structural stability and morphogenetic. S. A. Benjamin’s Inc. Reading (UK), Massachusetts (USA) [1975].
[21] M. S. El Naschie. Chaos and generalized bifurcation in science and engineering: Current advances in mechanical design and production IV Pergamon press. Elsevier [1989] Oxford pp. 369-399.
[22] M. S. El Naschie. An elementary introduction to Catastrophe theory. Chapter (19) in M. S. El Naschie's book: Stress, Stability and Chaos in structural engineering. An energy approach. pp 546-557. published by McGraw-Hill Company (UK) 1990 London.
[23] M. S. El Naschie. P-Adic unification of the fundamental forces and the standard model. C, S & F [2008] vol. 38 issue 4 pp. 1011-1012 [2008].
[24] M. S. El Naschie. P-Adic analysis and the transfinite E8 exceptional Lie symmetry group unification. C, S & F. vol. 38 issue 3 pp. 612-614 [2008].
[25] Leila Marek-Crnjac. Cantorian spacetime theory: The physics of the empty set in connection with quantum entanglement and dark energy. Book published by LAP Lambert Academic Publishing. Saarbrucken Germany, ISBN 978-3-659-12876-9. January 2013.
[26] M. S. El Naschie and L. Marek-Crnjac. Set theoretical foundation of quantum mechanics, NASA EM drive technology and minimal surface interpretation of the state vector reduction of the quantum wave collapse. Chaos Complexity letters 12(2) 2018 pp. 85-100.
[27] M. S. El Naschie, S. Olsen, Ji-Huan He, S. Nada, L. Marek-Crnjac and A. M. Helal. On the need for fractal logic in high energy quantum physics. International Journal of Modern nonlinear theory and applications. Vol 1 No 3 [2012] pp 84-92.
[28] M. A. Helal, AR. Seadawy, RS. Ibrahim. Variational principle for Zakharov-Shabat equation in two dimensions [2013]. Applied Mathematics and computation 219(10) pp. 5635-5648 [2013]. volume 219 No. 10.
[29] Garnet Ord (Guest Editor). Transfinite physics. Treading the path of Cantor and Einstein.)A collection of papers in honor of the Egyptian Engineering scientist and theoretical physicist Mohamed El Naschie. C, S & F volume 25, issue 4. August 2005.
[30] Laurent Nottale. Fractal space-time and Microphysics. World Scientific - Singapore [1995].
[31] Ji-Huan He (Editor-in-chief). International Journal of Electrospan, Nanofibers and applications. Vol. 1 Number 1. January 2017 pp. 81-87 [2017] Publishing Research Science Press (India).
[32] Edward Witten (Editor). Einstein in Alexandria. Published by Bibliotheca Alexandrina. Alexandria Egypt [2006] pp. 1-179.
[33] Peter Weibel, Garnet Ord and Otto Rossler (Editors). Spacetime physics and fractality. Festfhrift in honor of Mohamed El Naschie on the occasion of his 60th birthday. Springer Publishing. Vienna, New York [2005].
[34] Mohamed S. El Naschie, Ji-Huan He and Leila Marek-Crnjac. Topological fluctuation and Dvoretzky's Theorem - Mathematical proofs in the context of the dark energy density of the universe. Journal of Progressive Research in Mathematics. Volume 16 No 3, published 2020-07-10. pp. 2969-2985 [2020]. ISSN: 2395-0218.
[35] He, JH. Fractal calculus and its geometrical explanation. Results in Physics. volume 10 [2018] pp. 272-276. Doi, 10.1016/j. rinp 2018.06.11
Published
2021-09-27
How to Cite
El Naschie, M. S., Helal, M. A., He, J.-H., & Marek-Crnjac, L. (2021). Super Unification of Physics and Mathematics. Journal of Progressive Research in Mathematics, 18(4), 22-27. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/2084
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