Part Nine of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

The relatively asymmetric tense of the spin and the roll of any given arbitrary gravitational-based particles (of both gravitons and gravitinos), when this is taken in correlation to the spin and roll of the directly corresponding orbifolds -- works to counter the potential collapsing of space-time-fabric, by its tendency to work at tightening the wave-tug/wave-pull of the here relatively local Rarita Structure eigenstates, when this is homotopically taken in retrospect from the Poincaire-based setting of the correlative gravitational particles so-mentioned, towards the Poincaire-based setting of the said central-based coniaxion of the here respective given arbitrary orbifold eigenstate, -- that has been implied here, in such a given arbitrary case.  The assymetric condition that has been implied here, is caused, in part, by an orthoganal-based torque that is initiated here in this case -- by a certain genus of a Njenhuis-based primed norm-geometric eigenbase, that is here of a relatively low scalar amplitude.  This happens, via the existence of the here local Ricci Scalar eigenstate.  So, when there are an excessive quantity of both gravitons and gravitinos, the relatively Real Reimmanian-based norm-primed geometric condition is aimed in a correlative directoral-based angling -- (that is Njenhuis in tangency to the so-eluded-to Ward-Caucy conditions, that are of the kinematic differentiation of the assymetric tensors that have been implied here) to where such an "angling" is here to happen via the kinematic-based differentiation of the excessive Gaussian-related indices, that are, in effect, a genus of an assortment of norm-state-projections -- that are of the same universal setting as the here so-stated orbifold eigenset that is being effected by the so-eluded-to gravitational eigenbase, of this specific case scenariao -- which works to help cause the directly corresponding Fourier translation that is of those changes in the ensuing related Kaeler Metric-based activity, that is local to the so-stated assymtric spin and roll relationship, that would exist here between the said gravitational particles and their directly corresponding orbifold eigenset, that are of this respective given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

An Aside To Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

What I have been trying to say in my last two posts, is that it is very important to be able to "differentiate"-out the difference between any respective given arbitrary holonomic substrate of a topological-based genus, &, its directly corresponding cohomological-based mappable tracing -- that such an initially mentioned holonomic substrate is to form, over a sequential series of group-related instantons.  When any given arbitrary Kaeler Metric is to be of the general genus of being of a gauge-transformation, then, the cohomologial integration of the here directly corresponding ghost-based indices, will work to form a "handle-like" appendage to the here directly corresponding physical memory, that is of the so-eluded-to Klein Bottle eigenstate -- that may be here taken, in a Laplacian-based format -- from the relative Njenhuis-to forward-holomorphic side of the cohomological-based pattern that is of the here respective given arbitrary Klein Bottle eigenstate, to the relative Njenhuis-to-reverse-holomorphic side that is of the same said cohomological-based pattern of the so-stated respective given arbitrary Klein Bottle eigenstate.  Again, it is well to remember the condition -- that any given arbitrary cohomological-based pattern is going to tend to be of a very different morphology than the directly corresponding holonomic substrate, that is to move -- in order to form the so-stated integration of ghost-based indices, that work to form the said cohomology, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Seven of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

When there is a Gaussian Transformation that is happening during the period in which the Kaeler Metric is going on -- in such a manner in so as to act as a gauge-transformation -- there is one genus of a difference between this general category of a Gaussian-based Transformation and the rest of this general category of a Gaussian-based Transformation.  This one genus of a difference, is that, during a gauge-transformation,  the directly corresponding Klein Bottle eigenstate of any one individual specific respective given arbitrary cite, in which such a Kaeler Metric is undergoing its general format of activity -- will work to bear an additive side-to-side torsioning,  that would here be applied to both the relatively reverse holomorphic end and the relatively forward holomorphic end of such a so-stated respective given arbitrary Klein Bottle eigenstate.  This general genus of activity, will then tend to increase the tendency of a relative lack of such a holonomic substrate as a given arbitrary Klein Bottle eigenstate -- from appearing to  be anything that is even similar in morphology to an open-top parallelepiped, in this case.  So, when one is to work to extrapolate the mappable tracing of any respective given arbitrary Klein Bottle eigenstate, that is here to be undergoing a correlative gauge-transformation -- there will be an additional torsional-based cohomological-based twisting of the here directly corresponding ghost-based indices -- to where the resultant homotopic-based physical memory of both the existence and the activity of such a so-stated Klein Bottle eigenstate, will give the appearance of a somewhat membronous morphology, that, in a way, may appear as looking at the trippy "innards" of a microscopic organism.  Most Gaussian Transformations are gauge-transformations, as I will explain later in the future.  To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.