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Curvature, Lagrangian and holonomy of Cantorian-fractal spacetime

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  • El Naschie, M.S.

Abstract

The special holonomy of the Cantorian-fractal manifold of spacetime is considered in some detail. The expression for spacetime curvature, energy and the corresponding Lagrangian formulation is given. Numerous special aspects of the theory are discussed.

Suggested Citation

  • El Naschie, M.S., 2009. "Curvature, Lagrangian and holonomy of Cantorian-fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2163-2167.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2163-2167
    DOI: 10.1016/j.chaos.2008.08.015
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    References listed on IDEAS

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    1. El Naschie, M.S., 2008. "On a major exceptional Lie symmetry groups hierarchy and quantum gravity," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 42-44.
    2. El Naschie, M.S., 2008. "Fuzzy knot theory interpretation of Yang–Mills instantons and Witten’s 5-Brane model," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1349-1354.
    3. 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.
    4. El Naschie, M.S., 2008. "One and two-stein space hierarchies in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1189-1190.
    5. 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.
    6. El Naschie, M.S., 2008. "The Exceptional Lie symmetry groups hierarchy and the expected number of Higgs bosons," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 268-273.
    7. El Naschie, M.S., 2008. "An energy balance Eigenvalue equation for determining super strings dimensional hierarchy and coupling constants," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1283-1285.
    8. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    9. Tanaka, Yosuke, 2006. "The mass spectrum of hadrons and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 851-863.
    10. El Naschie, M.S., 2008. "Exceptional Lie groups hierarchy and some fundamental high energy physics equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 82-84.
    11. El Naschie, M.S., 2008. "Fuzzy multi-instanton knots in the fabric of space–time and Dirac’s vacuum fluctuation," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1260-1268.
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    1. El Naschie, M.S., 2009. "Derivation of the Euler characteristic and the curvature of Cantorian-fractal spacetime using Nash Euclidean embedding and the universal Menger sponge," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2394-2398.
    2. El Naschie, M.S., 2009. "On zero-dimensional points curvature in the dynamics of Cantorian-fractal spacetime setting and high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2725-2732.

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