The Second Part of Session 8 of Course 18

As I have stated before, superstrings of discrete energy permittivity exist in manifolds or membranes, -- known of as orbifolds.  Substringular manifolds, or, orbifolds, work to bear a physical memory -- that exist in the form of respective integrations of ghost-based indices, that work to form what are termed of as cohomologies.  Cohomologies may either exist in the form of an even-handed or a chiral-based symmetry, and/or, cohomologies may exist in the form of an odd-handed or an antichiral-based symmetry, over the successive series of group instantons in which these eluded-to physical memories are formed, over time.  Substringular manifolds that are of a chiral-based nature tend to bear more of a nature of discrete compactification -- than substringular manifolds that are of an antichiral-based nature -- as such eluded-to mappable tracings are formed, over time.  Energy that is of a harmonic oscillitory-based nature tends to be formed by a kinematic display that is reverse-fractaled from a chiral-based cohomological setting.  Energy that is of an annharmonic oscillitory-based nature tends to be formed by a kinematic display that is revere-fractaled from an antichiral-based cohomological setting.  Thus, substringular-based energy that is of a harmonic nature tends to work to form a chiral Kaeler-based manifold, while, substringular-based energy that is of an annharmonic nature tends to work to form an antichiral Kaeler-based manifold --- over the successive series of group instantons in which such eluded-to substringular symmetries are thus formed. Manifolds of cohomolgical-based settings that are not of a Kaeler-based manifold tend to work to not bear a hermitian-based flow of topological homotopic residue over time, in the correlative respective substringular setting -- that is here not of a Kaeler-based manifold, over the group metric of that given arbitrary locus in which there would here be no locally current Kaeler-Metric that is being manifested here.  This latter-mentioned cohomological-based setting would here be of neither a chiral Kaeler-based manifold nor of an antichiral Kaeler-based manifold.  This general genus of a manifold -- that works to bear such a cohomological-based setting -- would not only not tend to be Yau-Exact, yet, the singularities that would here thus be propagated from the kinematic activity of such a manifold of a substringular neighborhood would tend to bear both Lagrangian and/or metrical-based singularities, over the correlative group metric in which such a respective general genus of a substringular region is not actively undergoing a local Kaeler-Metric.  This tends to be the case, whether the superstrings themselves that work to comprise the directly corresponding respective manifolds of such substringular loci are of a Yau-Exact nature or not.
 I will explain this more in detail in my upcoming posts.  To Be Continued!!! Sam Roach.