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

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 where 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 + 3, 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.