Course 11 About Orbifolds, Session 12, Part One

Orbifolds of one given arbitrary universe differentiate relative to each other -- both as set manifolds that exist over that mapping that may be extrapolated over a Laplacian Transformation -- as welll as over time.  Orbifolds that appertain to different individual universes relative to one another differentiate relative to the other respective orbifolds that are of their own given arbitrary universes in more of a kinematically influential manner than the degree in which the said orbifolds that are of different universes differentiate with orbifolds that are of the same universe  -- when this is taken over any given arbitrary Fourier Transformation that here involves a covariance of the individual eluded to orbifolds that are of the same universe when taken relative to one another.  Orbifolds of the same universe tend to kinematically differentiate with each other in at least some sort of a direct manner over the course of an individual given arbitrary iteration of Ultimon Flow.  For instance, when the multi-dimensional structures that work to comprise the physical membranes of specific orbifolds interact in a direct manner, then, such physical spaces -- that operate according to a specific given arbitrary function -- that are here described as orbifolds, are said to be directly involved with each other in at least some sort of an abelian manner over those group instantons in which orbifolds are kinematically functional over the Fourier Transformation in which the mentioned orbifolds are covariantly interacting in some sort of codifferntiable codeterminable manner.  Orbifolds that are of different universes that interact over the course of a given arbitray Fourier Transformation do not bear Gliossi interactions that are Poincaire upon the topology of the superstrings that work to comprise the said orbifolds.  Such a tendancy that is of a high expectation value is due to the different genus-formats of the norm-conditions of their respective Fadeev-Popov-Traces, the differences in such norm-conditions of which work to differentiate any of such given arbitrary orbifolds as belonging to different universes over the course of the associated sub-Fourier conditions, which is during those individual iterations of group instantons in which these orbifolds interact in a less direct manner over the integration of the said instantons that forms a successive series of relatively motionless frameworks that works to form the flow of energy that happens over time.  These conditions of differences in norm-based conditions appertains to the general field networking that happens under both the general Laplacian conditions of group instanton, as well as over the integration of the successive series of such delineatory states that works to form the kinematic flow of energy through time.  I will continue with the second part of this session later!  Sincerely, Samuel David Roach.

More About The Njenhuis Characteristics of Point Commutators

As to various given arbitrary point commutators that associate with each other, the different tenses of imagination that is associated with one set of point commutators relative to another -- in terms of two respective sets of point commutators that exist in two different respective universes -- works to allow these point commutators to be oriented in what tends to be an indirect manner, via both any arbitrary given Laplacian manner, as well as via any arbitrary given Fourier Transform that these may be associated with.  This is true in either a respective "snapshot" as to what is going on as well as any consideration of the mentioned point commutators over a transient period of time.  Such a covariant codifferentiation, when in terms of the respective tenses of imagination, being the basis as to why conformal repulsion localities exist in the manner that these exist in.  This works to help cause the general locus of the corresponding tori-sector-ranges that the said sets of point commutators belong to during a relatively limited number of covariant simultaneous instantons, via a Laplacian-based mapping through a centrally-based conipoint, to bear what I term of as an Imaginary Discrepancy.
Any free points -- known of as zero-norm-states -- whose conformal based dimension is zero -- work to allow these point commutators to terminate the what would here be a local tense of superconformal invariance.  This termination works to allow the said point commutators to always -- during the self-same set of group instantons that involve these, to bear condensed oscillation, as the zero-norm-states that these are here existant as -- during the said group metric -- bear inexact and non-linear differential associations both via a Laplacian setting during the individually related instantons as well as over the directly associated relatively very limited Fourier Transformtion that I have here been discussing.  The mentioned conformal repulsion locality recently mentioned works to flush the two mentioned sets of point commutators through different parallel universes aptly, once the said superconformal invariance is spontaneously ended in the mentioned case. This will happen more abruptly when regular magnetism is applied to these, whereas, if reverse magnetism is applied fairly directly to the two covariantly codifferentiable sets of respecitve point commutators that have been mentioned here, then, the general locus of the two sets of said point commutators that are here of two sets of universes will more likely remain in a tense of superconformal invariance for a longer time, and thus, will here tend to remain in their two respective different -- yet relatively close in the substringular -- universes.  The format of the applied magnetism, as well as how it is directed, works to effect the outcome of the delineation and also the re-delineation of the mentioned covariant codifferentiable sets of point commutators that have here worked to allow for the continuation of the static equilibrium of their most directly associated superstrings,these points of which  have here worked to allow superstrings to be continuous at moving through a certain given arbitrary sequential series of instantons.
I will continue with the suspense later!
Sincerely,
Samuel David Roach.