From fractal - Cantorian classical music to the symphony of the standard model of high energy particles physics

  • Leila Marek-Crnjac Technical School Center of Maribor, Maribor, Slovenia
  • M. S. El Naschie Distinguished Professor Department of Physics Faculty of Science, Faculty of Science, Alexandria University, Alexandria, Egypt
Keywords: fractal - Cantorian


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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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