Dimensional Change And Singularities

Let us initially consider that general Ward-Cauchy-related set of conditions, that are appertaining to spatial dimensionality, that is to be considered for one given arbitrary superstring of discrete energy permittivity -- that is Not in consideration of what is to otherwise be in a directly correlative relationship with the Ward-Cauchy-based conditions of Beti numbers, (to where this is not here to be directly considering what happens, right before and right after each of such iterations of BRST) -- but, instead, to where this is to be taken in a directly correlative relationship with the Ward-Cauchy-based conditions that are here to be during each sequential iteration of BRST -- over an evenly-gauged Hamiltonian eigenmetric.  Let us then say, that for the just mentioned superstring of discrete energy permittiivty, over the course of each iteration of BRST that is here to be correlative to the said evenly-gauged Hamiltonian eigenmetric -- that the here mentioned superstring is to oscillate back-and-forth, from being a two-dimensional spatial entity into being a three-dimensional spatial entity.  Let us next say that the general holomorphic direction of the said string, is here to be maintained -- over the set framework of time.  Since the just so-eluded-to back-and-forth alteration in spatial dimensionality, is here to alter the directoral-related flow of the said string's directly corresponding angular momentum eigenindices -- such a back-and-forth alteration in the directly corresponding dimensions of the spatial parameters of the said string, will then tend to alter the dimensional-related direction of the holonomic substrate of the correlative string in and of itself, at the Poincare level to the topological surface of the directly corresponding superstring of discrete energy permittivity, during each succeeding iteration of BRST for such a said string.  Such an alteration of dimensional-related direction for the holonomic substrate of a discrete quantum of energy, will then tend to work to form the presence of metrical-related Chern-Simons singularities over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.