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Partially ordered sets, transfinite topology and the dimension of Cantorian-fractal spacetime

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  • Marek-Crnjac, L.

Abstract

We introduce partially ordered sets and relate them to random Cantor sets of E-infinity theory. Subsequently we derive the dimensionality of Cantorian-fractal spacetime using posets and E-infinity transfinite Cantor sets.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1796-1799
    DOI: 10.1016/j.chaos.2009.03.094
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    References listed on IDEAS

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    1. Dariescu, Marina-Aura & Dariescu, Ciprian & Pîrghie, Ana-Camelia, 2009. "Mass spectrum in 5D Warped Einstein Universe and El Naschie’s quantum golden field theory," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 247-252.
    2. 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.
    3. Nada, S.I. & Hamouda, E.H., 2009. "On the folding of graphs-theory and application," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 669-675.
    4. 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.
    5. Zhong, Ting, 2009. "A family of fractal sets with Hausdorff dimension 0.618," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 316-321.
    6. Marek-Crnjac, L., 2009. "A short history of fractal-Cantorian space-time," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2697-2705.
    7. 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.
    8. 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.
    9. El Naschie, M.S., 2008. "Eliminating gauge anomalies via a “point-less” fractal Yang–Mills theory," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1332-1335.
    10. Ye, Fred Y., 2009. "From chaos to unification: U theory vs. M theory," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 89-93.
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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. Iovane, G., 2009. "From Menger–Urysohn to Hausdorff dimensions in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2338-2341.

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