Part Four Of Session 2 Of Course 20 -- Calabi Manifolds And Calabi Interactions

Do you remember me mentioning the two sets of zero-norm-state-projections that work upon that discrete quantum of kinetic energy permittivity, in order to allow for that process that may be called the Fujikawa Coupling via the Green Function?  This involves one of such sets of zero-norm-state-projections, that is to here act upon the pointal-based quantum of discrete kinetic energy permittivity (the respective given arbitrary superstring) -- and one of such sets of zero-norm-state-projections, that is to here act upon the wave-based quantum of discrete kinetic energy permittivity (the correlative respective given arbitrary counterstring).  The angle that exists in-between the locus of Gliosis-based contact, in which the initially so-stated set of zero-norm-stated projections is to be working to form an abelian-related Fourier-based Yukawa Coupling upon the said superstring of discrete pointal-based kinetic energy permittivity, in so as to undergo a successive set of iterations of group-related instantons, in so as to work to allow for the correlative activity of the Fujikawa Coupling via the Green Function -- in so as to help the said discrete quantum of kinetic energy permittivty to subsequently work to form a photon -- and the Laplacian-based position-based iterative delineation at which the correlative respective Fadeev-Popov-Trace eigenstate is to here be in the process of being "tagged-along," is of a Ward-Caucy-based inter-relation of 22.5 degrees. As well, the angle that exists in-between the locus of Gliosis-based contact, in which the secondly so-stated set of zero-norm-state-projections is to be working to form an abelian-related Fourier-based Yukawa Coupling upon the said counterstring of discrete wave-based kinetic energy permittivity, in so as to undergo a successive set of iterations of group-related instantons in so as to work to allow for the correlative activity of the Fujikawa Coupling via the Green Function -- in so as to help the said discrete quantum of kinetic energy permittivity to subsequently work to form the counterstring of a photon -- and the Laplacian-related position-based iterative delineations at which the correlative respective superstring that is of the pointal-based nature of discrete kinetic energy permittivity, is to to here be in the process of being "tagged-along," is of a Ward-Caucy-based inter-relation of 22.5 degrees.  Due to the trivially isomorphic assymetry that is to here exist, in both of these two said general cases, of a proximal localized Ward-Caucy-based torsioning, that -- due to the just mentioned manner of assymetry -- works to form an abelian eigenbase of a general Fourier-related activity, in spite of the non-abelian nature of the Laplacian-related delineation of such a respective torsioning.  In both the case of the superstring, and in the case of the counterstring -- the correlative individually taken set of zero-norm-state-projections, will then work to form the equivalence of a supplemental-based wave-tug upon the Gliosis-based locus as to where the so-eluded-to discrete quantum of kinetic energy permittivity is to bear its so-eluded-to Yukawa Coupling, as to the ensuing activity of what is here to be the activity of the said Fujikawa Coupling, to where, in spite of the so-stated angling of the Laplacian-based Hamiltonian curvature that is to here be pushed at an angle that is not actually supplemental, -- the resultant Hamiltonian-based operation of the wave-tug that is to be applied in both of the eluded-to cases of a Yukawa-based thrust -- will then work to form a propagation that is to here happen to both the superstring and to its counterstring simultaneously via the vantage-point of a central conipoint, that is of a relative Wilson linearity to, what would be in both cases, in the relative forward-holomorphic direction as to the directoral tug of the then forming photon and its correlative counterstring.  I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.