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.