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

M.S. El Naschie

Chaos, Solitons & Fractals, 2007, vol. 32, issue 2, 468-470

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.

Date: 2007
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Citations: View citations in EconPapers (22)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:2:p:468-470

DOI: 10.1016/j.chaos.2006.08.011

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