From fractal - Cantorian classical music to the symphony of the standard model of high energy particles physics
Keywords:
fractal - Cantorian
Abstract
We report in this short letter on what we think is a major finding which could remove forever the schism that exists between Science and Art in an unprecedented way. In particular we believe that we were able to uncover an entire spectrum of scale invariant fractal Cantorian space-time manifolds starting from Einstein's D = 4 space-time and continuing via Kaluza-Klein D = 5, Superstring D = 10, Witten's M-theory D = 11 and Vafa's F-theory D = 12 to reach some tantalizing connections to the standard model of high energy particle physics as well as Arnold Schoenberg's twelve tone music. Our quantitative mathematical analysis depends in a crucial way on the golden mean number system of E-Infinity theory which implies not only a real possibility of a theory of everything unifying all fundamental forces, but goes also far beyond that, suggesting a unification of facts and values i.e. Science and Art, encompassing music, poetry and philosophy.
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References
[1] El Naschie, M.S., 2004. A review of E-Infinity theory and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals, 19(1), pp.209-236.
[2] El Naschie, M.S., 1998. Superstrings, Knots, and Non-commutative geometry in E-infinity space. International Journal of Theoretical Physics, 37(12), pp.2935-2951.
[3] El Naschie, M.S., 2009. The theory of Cantorian space-time and high energy particle physics (an informal review). Chaos, Solitons & Fractals, 41(5), pp.2635-2646.
[4] A Helal, M., Marek-Crnjac, L. and He, J.H., 2013. The three page guide to the most important results of M. S. El Naschie's research in E-Infinity quantum physics and cosmology. Open Journal of Microphysics, 3, pp.141-145.
[5] El Naschie, M.S., 2016. On a fractal version of Witten's M-theory. International Journal of Astronomy and Astrophysics, 6, pp.135-144.
[6] Marek-Crnjac, L. and He, J., 2013. An Invitation to El Naschie. International Journal of Astronomy and Astrophysics, 3(4), pp.464-471.
[7] Marek-Crnjac, L., El Naschie, M.S. and He, J.H., 2013. Chaotic fractals at the root of relativistic quantum physics and cosmology. International Journal of Modern Nonlinear Theory and Application, 2(1), pp.78-88.
[8] Mukhamedov, A.M., 2007. E-infinity as a fiber bundle and its thermodynamics. Chaos, Solitons & Fractals, 33(3), pp.717-724.
[9] Marek-Crnjac, L., 2015. On El Naschie’s fractal-Cantorian space-time and dark energy-A tutorial review. Natural Science, 7(13), pp.581-598.
[10] El Naschie, M.S., Olsen, S., He, J.H., Nada, S., Marek-Crnjac, L. and Helal, A., 2012. On the need for fractal logic in high energy quantum physics. International Journal of Modern Nonlinear Theory and Application, 1(3), pp.84-92.
[11] El Naschie, M.S., 2017. Elements of a new set theory based quantum mechanics with applications in high energy quantum physics and cosmology. International Journal of High Energy Physics, 4, pp.65-74.
[12] El Naschie, M.S., 2014. Electromagnetic—Pure gravity connection via Hardy’s quantum entanglement. Journal of Electromagnetic Analysis and Applications, 6(9), pp.233-237.
[13] El Naschie, M.S., 2015. An Exact mathematical picture of quantum space-time. Advances in Pure Mathematics, 5, pp.560-570.
[14] Dariescu, M.A., Dariescu,C. and Pighie, A.C., 2009.Mass spectrum in 5D warped Einstein and El Naschie's quantum golden field theory; Chaos, Solitons & Fractals, vol. 42, issue 1, pp.247-252.
[15] El Naschie, M.S., 2017. The Aether of space-time physics is the empty set of pure mathematics. Natural Science, 9(9), pp.289-292.
[16] Gottlieb, I. and Agop, M., 2007. El Naschie’s ε (∞) theory and an alternative to gauged space-time scale relativity theory. Chaos, Solitons & Fractals, 34(4), pp.1025-1029.
[17] El Naschie, M.S., 2015. Three quantum particles Hardy entanglement from the topology of Cantorian-fractal space-time and the Casimir effect as dark energy- A great opportunity for nanotechnology. American Journal of Nano Research and Applications, 3(1), pp.1-5.
[18] El Naschie, M.S., 2018. Symmetria Massima of the fractal M-theory via the golden mean number system- A new language for a deep dialogue between man and nature. International Journal of Artificial Intelligence and Mechatronics, 7(3), pp.11-14.
[19] Marek-Crnjac, L., 2011. The Hausdorff dimension of the Penrose universe. Physics Research International, September 2011,pp.1-4.
[20] Zhong, T., 2009. From the numerics of dynamics to the dynamics of numerics and vise versa in high energy particle physics. Chaos, Solitons & Fractals, 42(3), pp.1780-1783.
[21] He, J.H., Zhong, T., Xu, L., Marek-Crnjac, L., Nada, S.I. and Helal, M.A., 2011. The importance of the empty set and non-commutative geometry in underpinning the foundations of quantum physics. Nonlinear Science Letters B, 1(1), Chaos, Fractal & Synchronization, pp.14-23.
[22] El Naschie, M.S., 2016. Completing Einstein's space-time. Journal of Modern Physics, 7, pp.1972-1994.
[23] El Naschie, M.S., 2013, August. Electromagnetic and Gravitational Origin of dark energy in Kaluza-Klein D= 5 Space-time. In PIERS Proceedings. pp. 94-98.
[24] ElNaschie, M.S., 2018. Super quantization of a Cantorian electromagnetic field and the cosmic dark energy density of the universe. International Journal of Innovation in Science & Mathematics, 6(1), pp. 33-37.
[25] El Naschie, M.S., 2018. From Nikolay Umov E= kmc2 via Albert Einstein's E= ymc2 to the dark energy density of the cosmos E=(21/22) mc2. World Journal of Mechanics, 8, pp.73-81.
[26] El Naschie, M.S., 2018. NASA’s EM Drive Thrust from the forces of the quantum vacuum of space-time. Technology, 3, pp.1-9.
[27] Sommer, H., 2006, June. A toy-world that satisfies some principles of` El Naschie's E-Infinity theory. In Computing Anticipatory Systems: CASYS'05,Vol. 839, pp. 212-221).
[28] El Naschie, M.S., 2018. QED Cosmic Dark Energy Density Using Schwinger-Fredkin and E-Infinity Theory. Journal of Applied Mathematics and Physics, 6, pp.621-627.
[29] El Naschie, M.S., 2018.World formula interpretation of E = mc2 . International Journal of Applied Science and Mathematics, Vol.5(1), pp. 67-75
[30] El Naschie, M.S. and Marek-Crnjac, L., 2018. Set theoretical foundation of quantum mechanics. NASA's EM drive technology and minimal surface interpretation of the state vector reduction of the quantum wave collapse. Chaos and Complexity Letters, 12(2), pp.85-100.
[31] El Naschie, M.S., 2019, Spinoza’s God, Leibniz’s monadology and the universal music of Einstein’s Cantorian nature. International Journal of Innovation in Science and Mathematics, Volume 7, Issue 1. pp.33-39.
[32] El Naschie, M.S., 2019. Simulating the quantum Universe via the golden mean number expert-like -system, International Journal of Artificial Intelligence and Mechatronics, Volume 7, Issue 4, ISSN 2320 – 5121. pp.15-18.
[33] El Naschie, M.S., 2016. Computational Fractal Logic for Quantum Physics and Cosmology. American Journal of Astronomy and Astrophysics, Volume 4, Issue 4, July 2016, pp. 42-53
[34] El Naschie, M.S., 2018. Why we live in a Penrose fractal pointless non-commutative multi-universe: A simple proof using the bijection formula of E-Infinity Cantorian space-time. International Journal of Engineering Innovation & Research, 7(5), pp.249-253.
[35] El Naschie, M.S., 2019. Gravity looks like electro-magnetism when seen through fractal logic glasses. International Journal of Innovation in Science and Mathematics. Volume 7, Issue 4, ISSN (Online): 2347–9051. pp. 180-185.
[36] El Naschie, M.S., 1998. Von Neumann geometry and E-Infinity quantum space-time. Chaos, Solitons & Fractals, vol. 9, issue 1, pp.2023-2030.
[37] El Naschie, M.S., 1998. Penrose Universe and Cantorian space-time as a model for non-commutative quantum geometry. vol. 9, issue 6, pp. 931-933.
[38] Iovane, G., 2004. Varying G, accelerating Universe, and other relevant consequences of a stochastic self-similar and fractal Universe. Chaos, Solitons & Fractals, 20(4), pp.657-667.
[39] Connes, A., 1994. Non-commutative Geometry. Academic Press, San Diego.
[40] El Naschie, M.S., 2006. On an eleven dimensional E-infinity fractal space-time theory. International Journal of Nonlinear Sciences and Numerical Simulation, 7(4), pp.407-409.
[41] El Naschie, M.S., 2013. Nash embedding of Witten’s M-theory and the Hawking-Hartle quantum wave of dark energy. Journal of Modern Physics, 4(10), pp.1417-1428.
[42] El Naschie, M.S., 2016. High energy physics and cosmology as computation. American Journal of Computational Mathematics, 6(03), pp.185-199
[43] Ashby, A., 2001. Schoenberg, Boulez, and twelve-tone composition as “Ideal Type”. Journal of the American Musicological Society, 54(3), pp.585-625. Published by University of California press on behalf of the American Musicological Society, Oakland-CA,2001.
[44] Vafa, C., 1996. Evidence for F-theory. Nuclear Physics B, 469(3), pp.403-415.
[45] El-Okaby, A.A., 2008. The exceptional E-infinity theory holographic boundary, F-theory and the number of particles in the standard model. Chaos, Solitons & Fractals, 38(5), pp.1286-1291.
[46] Stakhov, A., Olsen, S., 2009. The mathematics of harmony. World Scientific. Singapore.
[47] Olsen, S., 2006. The golden section: nature's greatest secret. Wooden Books, Bloomsbury Publishing USA.
[48] El Naschie, M.S., 1999. The golden mean in quantum geometry, knot theory and related topics. Chaos, Solitons & Fractals, 10(8), pp.1303-1307.
[49] Bras-Amorós, M., 2017. Tempered Monoids of Real Numbers, the Golden Fractal Monoid, and the Well-Tempered Harmonic Semigroup. arXiv preprint arXiv:1703.01077.
[2] El Naschie, M.S., 1998. Superstrings, Knots, and Non-commutative geometry in E-infinity space. International Journal of Theoretical Physics, 37(12), pp.2935-2951.
[3] El Naschie, M.S., 2009. The theory of Cantorian space-time and high energy particle physics (an informal review). Chaos, Solitons & Fractals, 41(5), pp.2635-2646.
[4] A Helal, M., Marek-Crnjac, L. and He, J.H., 2013. The three page guide to the most important results of M. S. El Naschie's research in E-Infinity quantum physics and cosmology. Open Journal of Microphysics, 3, pp.141-145.
[5] El Naschie, M.S., 2016. On a fractal version of Witten's M-theory. International Journal of Astronomy and Astrophysics, 6, pp.135-144.
[6] Marek-Crnjac, L. and He, J., 2013. An Invitation to El Naschie. International Journal of Astronomy and Astrophysics, 3(4), pp.464-471.
[7] Marek-Crnjac, L., El Naschie, M.S. and He, J.H., 2013. Chaotic fractals at the root of relativistic quantum physics and cosmology. International Journal of Modern Nonlinear Theory and Application, 2(1), pp.78-88.
[8] Mukhamedov, A.M., 2007. E-infinity as a fiber bundle and its thermodynamics. Chaos, Solitons & Fractals, 33(3), pp.717-724.
[9] Marek-Crnjac, L., 2015. On El Naschie’s fractal-Cantorian space-time and dark energy-A tutorial review. Natural Science, 7(13), pp.581-598.
[10] El Naschie, M.S., Olsen, S., He, J.H., Nada, S., Marek-Crnjac, L. and Helal, A., 2012. On the need for fractal logic in high energy quantum physics. International Journal of Modern Nonlinear Theory and Application, 1(3), pp.84-92.
[11] El Naschie, M.S., 2017. Elements of a new set theory based quantum mechanics with applications in high energy quantum physics and cosmology. International Journal of High Energy Physics, 4, pp.65-74.
[12] El Naschie, M.S., 2014. Electromagnetic—Pure gravity connection via Hardy’s quantum entanglement. Journal of Electromagnetic Analysis and Applications, 6(9), pp.233-237.
[13] El Naschie, M.S., 2015. An Exact mathematical picture of quantum space-time. Advances in Pure Mathematics, 5, pp.560-570.
[14] Dariescu, M.A., Dariescu,C. and Pighie, A.C., 2009.Mass spectrum in 5D warped Einstein and El Naschie's quantum golden field theory; Chaos, Solitons & Fractals, vol. 42, issue 1, pp.247-252.
[15] El Naschie, M.S., 2017. The Aether of space-time physics is the empty set of pure mathematics. Natural Science, 9(9), pp.289-292.
[16] Gottlieb, I. and Agop, M., 2007. El Naschie’s ε (∞) theory and an alternative to gauged space-time scale relativity theory. Chaos, Solitons & Fractals, 34(4), pp.1025-1029.
[17] El Naschie, M.S., 2015. Three quantum particles Hardy entanglement from the topology of Cantorian-fractal space-time and the Casimir effect as dark energy- A great opportunity for nanotechnology. American Journal of Nano Research and Applications, 3(1), pp.1-5.
[18] El Naschie, M.S., 2018. Symmetria Massima of the fractal M-theory via the golden mean number system- A new language for a deep dialogue between man and nature. International Journal of Artificial Intelligence and Mechatronics, 7(3), pp.11-14.
[19] Marek-Crnjac, L., 2011. The Hausdorff dimension of the Penrose universe. Physics Research International, September 2011,pp.1-4.
[20] Zhong, T., 2009. From the numerics of dynamics to the dynamics of numerics and vise versa in high energy particle physics. Chaos, Solitons & Fractals, 42(3), pp.1780-1783.
[21] He, J.H., Zhong, T., Xu, L., Marek-Crnjac, L., Nada, S.I. and Helal, M.A., 2011. The importance of the empty set and non-commutative geometry in underpinning the foundations of quantum physics. Nonlinear Science Letters B, 1(1), Chaos, Fractal & Synchronization, pp.14-23.
[22] El Naschie, M.S., 2016. Completing Einstein's space-time. Journal of Modern Physics, 7, pp.1972-1994.
[23] El Naschie, M.S., 2013, August. Electromagnetic and Gravitational Origin of dark energy in Kaluza-Klein D= 5 Space-time. In PIERS Proceedings. pp. 94-98.
[24] ElNaschie, M.S., 2018. Super quantization of a Cantorian electromagnetic field and the cosmic dark energy density of the universe. International Journal of Innovation in Science & Mathematics, 6(1), pp. 33-37.
[25] El Naschie, M.S., 2018. From Nikolay Umov E= kmc2 via Albert Einstein's E= ymc2 to the dark energy density of the cosmos E=(21/22) mc2. World Journal of Mechanics, 8, pp.73-81.
[26] El Naschie, M.S., 2018. NASA’s EM Drive Thrust from the forces of the quantum vacuum of space-time. Technology, 3, pp.1-9.
[27] Sommer, H., 2006, June. A toy-world that satisfies some principles of` El Naschie's E-Infinity theory. In Computing Anticipatory Systems: CASYS'05,Vol. 839, pp. 212-221).
[28] El Naschie, M.S., 2018. QED Cosmic Dark Energy Density Using Schwinger-Fredkin and E-Infinity Theory. Journal of Applied Mathematics and Physics, 6, pp.621-627.
[29] El Naschie, M.S., 2018.World formula interpretation of E = mc2 . International Journal of Applied Science and Mathematics, Vol.5(1), pp. 67-75
[30] El Naschie, M.S. and Marek-Crnjac, L., 2018. Set theoretical foundation of quantum mechanics. NASA's EM drive technology and minimal surface interpretation of the state vector reduction of the quantum wave collapse. Chaos and Complexity Letters, 12(2), pp.85-100.
[31] El Naschie, M.S., 2019, Spinoza’s God, Leibniz’s monadology and the universal music of Einstein’s Cantorian nature. International Journal of Innovation in Science and Mathematics, Volume 7, Issue 1. pp.33-39.
[32] El Naschie, M.S., 2019. Simulating the quantum Universe via the golden mean number expert-like -system, International Journal of Artificial Intelligence and Mechatronics, Volume 7, Issue 4, ISSN 2320 – 5121. pp.15-18.
[33] El Naschie, M.S., 2016. Computational Fractal Logic for Quantum Physics and Cosmology. American Journal of Astronomy and Astrophysics, Volume 4, Issue 4, July 2016, pp. 42-53
[34] El Naschie, M.S., 2018. Why we live in a Penrose fractal pointless non-commutative multi-universe: A simple proof using the bijection formula of E-Infinity Cantorian space-time. International Journal of Engineering Innovation & Research, 7(5), pp.249-253.
[35] El Naschie, M.S., 2019. Gravity looks like electro-magnetism when seen through fractal logic glasses. International Journal of Innovation in Science and Mathematics. Volume 7, Issue 4, ISSN (Online): 2347–9051. pp. 180-185.
[36] El Naschie, M.S., 1998. Von Neumann geometry and E-Infinity quantum space-time. Chaos, Solitons & Fractals, vol. 9, issue 1, pp.2023-2030.
[37] El Naschie, M.S., 1998. Penrose Universe and Cantorian space-time as a model for non-commutative quantum geometry. vol. 9, issue 6, pp. 931-933.
[38] Iovane, G., 2004. Varying G, accelerating Universe, and other relevant consequences of a stochastic self-similar and fractal Universe. Chaos, Solitons & Fractals, 20(4), pp.657-667.
[39] Connes, A., 1994. Non-commutative Geometry. Academic Press, San Diego.
[40] El Naschie, M.S., 2006. On an eleven dimensional E-infinity fractal space-time theory. International Journal of Nonlinear Sciences and Numerical Simulation, 7(4), pp.407-409.
[41] El Naschie, M.S., 2013. Nash embedding of Witten’s M-theory and the Hawking-Hartle quantum wave of dark energy. Journal of Modern Physics, 4(10), pp.1417-1428.
[42] El Naschie, M.S., 2016. High energy physics and cosmology as computation. American Journal of Computational Mathematics, 6(03), pp.185-199
[43] Ashby, A., 2001. Schoenberg, Boulez, and twelve-tone composition as “Ideal Type”. Journal of the American Musicological Society, 54(3), pp.585-625. Published by University of California press on behalf of the American Musicological Society, Oakland-CA,2001.
[44] Vafa, C., 1996. Evidence for F-theory. Nuclear Physics B, 469(3), pp.403-415.
[45] El-Okaby, A.A., 2008. The exceptional E-infinity theory holographic boundary, F-theory and the number of particles in the standard model. Chaos, Solitons & Fractals, 38(5), pp.1286-1291.
[46] Stakhov, A., Olsen, S., 2009. The mathematics of harmony. World Scientific. Singapore.
[47] Olsen, S., 2006. The golden section: nature's greatest secret. Wooden Books, Bloomsbury Publishing USA.
[48] El Naschie, M.S., 1999. The golden mean in quantum geometry, knot theory and related topics. Chaos, Solitons & Fractals, 10(8), pp.1303-1307.
[49] Bras-Amorós, M., 2017. Tempered Monoids of Real Numbers, the Golden Fractal Monoid, and the Well-Tempered Harmonic Semigroup. arXiv preprint arXiv:1703.01077.
Published
2019-11-05
How to Cite
Marek-Crnjac, L., & El Naschie, M. S. (2019). From fractal - Cantorian classical music to the symphony of the standard model of high energy particles physics. Journal of Progressive Research in Mathematics, 15(3), 2700-2710. Retrieved from https://scitecresearch.com/journals/index.php/jprm/article/view/1798
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