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On the topological ground state of E-infinity spacetime and the super string connection

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  • El Naschie, M.S.

Abstract

There are at present a huge number of valid super string ground states, making the one corresponding to our own universe extremely hard to determine. Therefore it may come as quite a surprise that it is a rather simple undertaking to determine the exact topological ground state of E-infinity Cantorian spacetime theory. Similar to the ground state of the Higgs for E-infinity, the expectation value of the topological ground state is non-zero and negative. Its value is given exactly by ∑o-∞n(1/ϕ)n=-(4+ϕ3) where ϕ=(5-1)/2 and n represents an integer Menger–Uhryson dimension running from n=0 to n=−∞. Recalling that the average dimension of ε(∞) is given by ∼〈n〉=4+ϕ3, one could interpret this result as saying that our E-infinity spacetime may be viewed as an in itself closed manifold given by the remarkable equation:〈D(topological vacuum)〉+〈D(Hausdorff of spacetime)〉=zeroThus in a manner of speaking, the universe could have spontaneously tunnelled into existence from virtual nothingness.

Suggested Citation

  • El Naschie, M.S., 2007. "On the topological ground state of E-infinity spacetime and the super string connection," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 468-470.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:468-470
    DOI: 10.1016/j.chaos.2006.08.011
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    Cited by:

    1. El Naschie, M.S., 2007. "On gauge invariance, dissipative quantum mechanics and self-adjoint sets," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 271-273.
    2. Kocer, E. Gokcen & Tuglu, Naim & Stakhov, Alexey, 2009. "On the m-extension of the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1890-1906.
    3. El Naschie, M.S., 2007. "Feigenbaum scenario for turbulence and Cantorian E-infinity theory of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 911-915.
    4. Gottlieb, I. & Agop, M. & Enache, V., 2009. "Games with Cantor’s dust," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 940-945.
    5. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    6. Ekici, Erdal, 2008. "Generalization of weakly clopen and strongly θ-b-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 79-88.
    7. Allam, A.A. & Bakeir, M.Y. & Abo-Tabl, E.A., 2009. "Product space and the digital plane via relations," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 764-771.
    8. Khrennikov, Andrei Yu., 2009. "Gene expression from polynomial dynamics in the 2-adic information space," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 341-347.
    9. Agop, M. & Paun, V. & Harabagiu, Anca, 2008. "El Naschie’s ε(∞) theory and effects of nanoparticle clustering on the heat transport in nanofluids," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1269-1278.
    10. El Naschie, M.S., 2007. "Estimating the experimental value of the electromagnetic fine structure constant α¯0=1/137.036 using the Leech lattice in conjunction with the monster group and Spher’s kissing number in 24 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 383-387.
    11. Kılıç, Emrah, 2009. "The generalized Pell (p,i)-numbers and their Binet formulas, combinatorial representations, sums," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2047-2063.
    12. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Design and characterizations of a class of orthogonal multiple vector-valued wavelets with 4-scale," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 91-102.
    13. Dai, Meifeng & Tian, Lixin, 2008. "On the intersection of an m-part uniform Cantor set with its rational translation," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 962-969.
    14. Liu, Cheng-shi, 2009. "Nonsymmetric entropy and maximum nonsymmetric entropy principle," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2469-2474.
    15. Elmali, Ceren Sultan & Uğur, Tamer, 2009. "Fan-Gottesman compactification of some specific spaces is Wallman-type compactification," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 17-19.
    16. He, Ji-Huan & Xu, Lan & Zhang, Li-Na & Wu, Xu-Hong, 2007. "Twenty-six dimensional polytope and high energy spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 5-13.
    17. Kilic, E. & Stakhov, A.P., 2009. "On the Fibonacci and Lucas p-numbers, their sums, families of bipartite graphs and permanents of certain matrices," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2210-2221.
    18. Ekici, Erdal & Noiri, Takashi, 2009. "Decompositions of continuity, α-continuity and AB-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2055-2061.
    19. Akbulak, Mehmet & Bozkurt, Durmuş, 2009. "On the order-m generalized Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1347-1355.
    20. Agop, M. & Chicos, Liliana & Nica, P., 2009. "Transport phenomena in nanostructures and non-differentiable space–time," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 803-814.
    21. Ekici, Erdal, 2009. "A note on almost β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1010-1013.
    22. Agop, M. & Murgulet, C., 2007. "Ball lightning as a self-organizing process of a plasma–plasma interface and El Naschie’s ε(∞) space–time," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 754-769.

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