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The theory of Cantorian spacetime and high energy particle physics (an informal review)

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  • El Naschie, M.S.

Abstract

The paper gives a rather detailed introduction and up to date review of the main concepts and ideas upon which the theory of fractal-Cantorian spacetime is based.

Suggested Citation

  • El Naschie, M.S., 2009. "The theory of Cantorian spacetime and high energy particle physics (an informal review)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2635-2646.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2635-2646
    DOI: 10.1016/j.chaos.2008.09.059
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    1. Crasmareanu, Mircea & Hreţcanu, Cristina-Elena, 2008. "Golden differential geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1229-1238.
    2. El Naschie, M.S., 2008. "Yang–Mills instanton via exceptional Lie symmetry groups and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 925-927.
    3. El Naschie, M.S., 2008. "Average exceptional Lie and Coxeter group hierarchies with special reference to the standard model of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 662-668.
    4. Elnaschie, M.S., 2008. "From classical gauge theory back to Weyl scaling via E-Infinity spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 980-985.
    5. El Naschie, M.S., 2008. "P-Adic unification of the fundamental forces and the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1011-1012.
    6. El Naschie, M.S., 2008. "The internal dynamics of the exceptional Lie symmetry groups hierarchy and the coupling constants of unification," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1031-1038.
    7. El Naschie, M.S., 2009. "An irreducibly simple derivation of the Hausdorff dimension of spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1902-1904.
    8. El Naschie, M.S., 2009. "Deriving the curvature of fractal-Cantorian spacetime from first principles," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2259-2261.
    9. El Naschie, M.S., 2008. "Quasi exceptional E12 Lie symmetry group with 685 dimensions, KAC-Moody algebra and E-infinity Cantorian spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 990-992.
    10. El Naschie, M.S., 2008. "Towards a quantum field theory without Gribov copies and similar problems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 936-938.
    11. El Naschie, M.S., 2008. "Anomalies free E-infinity from von Neumann’s continuous geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1318-1322.
    12. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    13. Marek-Crnjac, L., 2009. "A short history of fractal-Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2697-2705.
    14. Munroe, Ray, 2009. "Symplectic tiling, hypercolour and hyperflavor E12," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2135-2138.
    15. El Naschie, M.S., 2009. "The crystallographic space groups and Heterotic string theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2282-2284.
    16. El Naschie, M.S., 2009. "BPS states, dualities and determining the mass of elementary particles," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1263-1265.
    17. Munroe, Ray, 2009. "The MSSM, E8, Hyperflavor E12 and E∞ TOE’s compared and contrasted," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1557-1560.
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    Cited by:

    1. Marek-Crnjac, L. & Iovane, G. & Nada, S.I. & Zhong, Ting, 2009. "The mathematical theory of finite and infinite dimensional topological spaces and its relevance to quantum gravity," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1974-1979.
    2. Wu, Guo-Cheng & He, Ji-Huan, 2009. "On the Menger–Urysohn theory of Cantorian manifolds and transfinite dimensions in physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 781-783.
    3. Nada, S.I., 2009. "On the mathematical theory of transfinite dimensions and its application in physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 530-531.
    4. Nada, S.I., 2009. "Density manifolds, geometric measures and high-energy physics in transfinite dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1539-1541.
    5. Esmaeili, M. & Gulliver, T.A. & Kakhbod, A., 2009. "The Golden mean, Fibonacci matrices and partial weakly super-increasing sources," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 435-440.
    6. Marek-Crnjac, L., 2009. "Partially ordered sets, transfinite topology and the dimension of Cantorian-fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1796-1799.
    7. Iovane, G., 2009. "From Menger–Urysohn to Hausdorff dimensions in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2338-2341.
    8. Elokaby, A., 2009. "On the deep connection between instantons and string states encoder in Klein’s modular space," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 303-305.
    9. Zhong, Ting, 2009. "From the numerics of dynamics to the dynamics of numerics and visa versa in high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1780-1783.

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