Part Five of the 14th Session of Course 14 About Group Action

The cohomologies of the various orbifolds that consist of many different individual superstrings that work together over the course of a sequential series' of iterations of group instanton -- that are inter-related during codifferentiable eigenmetrics of the activity of the multiplicit Fujikawa Coupling -- bear many different potential individual substringular settings that are covariant, throughout not only the said eigenmetrics of group instanton that correspond to the so named Fujikawa Coupling, yet, this also involves the group metrics that simultaneously happen in the Royal Arc -- through the vantage point of a central conipoint.  The activities that happen in the Ward-Caucy bounds of the Royal Arc work to involve a pajority of the eigenmetrics that act upon substringular residue -- in so as to help recycle that residue, so that norm-state residue may be able to recycle back into ground-state residue elsewhere.  This just mentioned residue is in the form of mini-string segments that are re-manufactured from one tense of substringular genus to another, at another codifferentiable locus of substringular activity.  So, one-dimensional superstrings of discrete energy permittivity may close as one given arbitrary semigroup at one spot, while, such open strands of discrete kinetic energy may often -- in the process of closing into a bosonic superstring -- vastly alter or perturbate when in terms of their genus, on account of the effects that may be able to happen to the parity and format of their transversal, radial, and orbital kinematic differentiation -- over the relatively brief time in which such superstrings go from a static condition of being open strands of a fermionic substringular format into a static condition of being closed strands of a bosonic substringular format.  This is because the Ward-Caucy conditions that work to involve a spontaneous change in the genus of a superstring, in so as to alter from a fermionc superstring into a bosonic superstring, form an initial entropic perturbative condition that is local to the given arbitrary superstring that is to close, to where such an entropic perturbative condition is continued until a relatively brief number of iterations of group instanton after the open superstring that I have just here eluded to has then become shut.  Likewise, the Ward-Caucy conditions that work to involve a spontaneous change in the genus of a superstring, in so as to alter the superstring from being a bosonic superstring into being a fermionic superstring -- forms the said opening of the relatively local topology in this given arbitary case, to where such an entropic perturbative condition is continued until a relatively brief number of iterations of group instanton, after the said closed superstring that I have just here eluded to has then become open.  I will continue with the suspense later!  Sincerely, Samuel David Roach.