Part Four Of Session 1 Of Course 20 -- Calabi Manifolds And Calabi Interactions

Bosonic superstrings of discrete energy permittivity, work to bear a circumference that is equal in a Laplacian-based manner -- to a scalar amplitude that is of the equivalence to the Planck Length.  For instance, the Laplacian-based length of any respective given arbitrary one-dimensional superstring of discrete energy permittivity, is of the scalar amplitude of one Planck Length.  Whereas, the Laplacian-based circumference of any respective given arbitrary two-dimensional superstring of discrete energy permittivity, is of the same Sterling approximation of scalar amplitude of one Planck Length.   Photons have a circumstance, that is equivalent in scalar amplitude -- to the length of a fully contracted one-dimensional superstring of discrete energy permittivity.  For instance, when any given arbitrary respective one-dimensional superstring of discrete energy permittivity -- that is of the directly corresponding circumstance of a discrete quantum of energy, that is released as the spare energy that is emitted from a photon that has jut dropped an energy level -- has just worked to leave the Ward-Caucy bounds of the physical bounds of the said respective electron, the so-stated one-dimensional superstring works to undergo what may be termed of as the Fujikawa Coupling, via the correlative math that may be extrapolated as what is termed of as the Green Function.  What this entails in general, is that the so-eluded-to open strand of discrete energy permittivity, is to here be propagated from the general Ward-Caucy bounds of the electron, in such a manner to where the directly corresponding end-points of what was the initially considered as of the said one-dinensional string, are to then be pulled together in a hermitian-based manner, -- to where these said endpoints are to here be drawn together In the relative holomorphic direction At the relative reverse-holomorphic side of such a so-eluded-to substringular projection of Hamiltonian-based motion, by which these ends are to then come together, in so as to work to form what is to then become the holonomic substrate of one discrete photon.  It is the holonomic substrate of two covariant, codeterminable, codifferentiable respective given arbitrary zero-norm-state-projections, that are to here act upon both respective individually taken ends of the so-stated initially mentioned one-dimensional superstring of discrete energy permittiivty, that act in so as to work to push these said end points into each other--  in so as to work to form a closed loop from the so-eluded-to initially inferred open-loop, in so as to work to form one discrete quantum of electromagnetic energy permittivity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Three of the "Next Session" Of Course Nine

In the meanwhile, the tri-local substringular encodements converge the region of the locus of the related orbifolds in proportion to the euclidean-based even distributions of their wave propagation and residue.  Those semi-groups that here arbitrarily commute kinematically phenomena-based discharge of those strings -- these superstrings being of one or more of the said orbifolds relative to one another --have spin-symmetries that become covalent via wave co-axials that covaliantly diferentiate thru a multiplicit Lagrangian.  The mentioned multiplicit Lagrangian occurs over an arbitrary Fourier Transform that curves on account of the related Njenhuis wave-tug permittivity eigenforces and the related Njenhuis wave-tug impedance eigenforces.  This basis of curvature happens in such a manner so that the Campbell/Hausendorf/Campbell Hausendorf and Zero-Norm Projections that are formed, on account of this here, arbitrarily forms a hermitian motion via the Greene Function known of as the Fujikawa Couplinlg.  In other related cases, such an activity may form other types of Yakawa Couplings.
I will continue with the rest of Course Nine later!  Sincerely, Samuel David Roach.