Part Two Of Session 12 Of Course 19 -- The Klein Bottle And Orbifold Differentiation

As is often the case -- the Gaussian Ward-based conditions of a Yang-Mills-based light-cone-gauge topology may have a habbit of being both antiholomrphic and orphoganal to the Gaussian Ward-based conditions of an adjacent Kaluza-Klein-based light-cone-gauge topology, from within the holononmic substrate of many substringular phenomenology that are to here consist of both orbifolds that are respectively of a non abelian light-cone-gauge topology as well as orbifolds that are of an abelian light-cone-gauge topology.  For instance, let us take a metaphorical look at the composition of an electron, when this may be taken in a Laplacian-based manner of extrapolation.  The mass-bearing superstrings of an electron, such as is the case for any Noether-based mass-bearing superstrings, are of a Kaluza-Klein or of an abelian light-cone-gauge topology.  The Noether-based superstrings of an electron that are purely of a tense of kinetic energy, such as is the case for any superstrings that are purely of a tense of kinetic energy from within the framework of the Ward-Caucy-based constraints of any substringular case scenario -- are of a Yang-Mills or of a non abelian light-cone-gauge topology.  The orbifolds of an electron that are of a mass-bearing nature, work to bear a Gaussian tense that is both antiholomorphic and orphoganal to the Gaussian tense of those orbifolds of an electron, that are purely of a kinetic energy-based nature.  The resultant tendency of a lack of both mini-stringular tension and the lack of both elastic and fractal-based torsion -- that often exists among the substringular eigenmembers that are of a Yang-Mills light-cone-gauge topology -- may often tend to produce a lack of entropy in the framework of the respective orbifold eigenset, of which may often here work to allow for less of a need for what would otherwise be the imminent need for the Kahler-Metric to be interactive among the substringular eigenmembers, that are of the directly correlative substringular region of such a case.  This occasional tendency may often tend to cause a lack of the so-eluded-to imminent substringular local region, that is proximal localized with such a Laplacian-based locus -- to then bear less of a need for the utilization of the holonomic substrate of the correlative Klein Bottle eigenstate with the proxmal localized manifold, that is of the so-eluded-to orbifold eigenset of such a case, that is here of a Yang--Mills light-cone-gauge topology.  I will continue with the suspense later! To Be Continued!
Sincerely, Sam Roach.

Part Two To the Twelth Session of Course 13

Partitions of one-dimensional superstrings of discrete energy permittivity go from just to the Njenhuis right of the general topological mapping of the said format of string to just to the Njenhuis left of the same general topological mapping of the same format of string -- from  the reverse-norm-to-holomorphic end of the said superstring to the forward-norm-to-holomorphic end of the same said superstring..  For two-dimensional superstrings of discrete energy permittivity, the said partitions go from being off of the general topological mapping by being both just to the forward-holomorphic direction and also just to the Njenhuis right of the directly related topological mapping at the same metrical duration To being off of the general mapping by being both just to the reverse-holomorphic direction and also just to the Njenhuis left of the directly related topological mapping at the same metrical duration -- from the forward-norm-to-holomorphic end of the superstring counterclockwise to up to all around the general topological mapping of the said string.  The format of point particles that work to comprise the topology of superstrings most directly are first-ordered point particles -- as I have described in prior posts.  The fabric that works to comprise first-ordered point particles is a holonomic substrate that is comprised of a "yarning" of substringular field -- a yarning of what I term of as mini-string segments.  Such mini-string is a composite of second-ordered point particles that are beaded together in so as to have a cross-sectional thickness of 10^(-129) of one meter thick in the substringular.  Again, the diameter of a first-ordered point particle in the substringular is 10^(-86) in the substringular.  So, even though most phenomena tends to be radially dependent, point particles are dependent more on a basis of their diameter.  The counterstrings of superstrings -- that are here of discrete energy permittivity --  have partitions that are reverse delineated when relative to their directly related superstrings.  The partitions of one-dimensional counterstrings  that are of discrete energy permittivity go from just to the Njenhuis left to just to the Njenhuis right of the topological stratum of the said counterstring -- from the reverse-norm-to-holomorphic end to the forward-norm-to-holomorphic end of the said one-dimensional superstring of discrete energy permittivity.  For the partitions of two-dimensional counterstrings that are of discrete energy permittivity, the format of the directly related partitions goes from both just to the Njenhuis left and to just to the reverse-norm-to-holomorphic side of the general mapping of the topology of the corresponding string to being both just to the Njenhuis right and just to the norm-to-forward-holomorphic side of the general mapping of the topology of the corresponding superstring.  Again, just as with the superstrings that are directly related to the just mentioned counterstrings, the partitions may often be delineated from the norm-to-forward-holomorphic end of the said counterstring all of the way around its topological stratum in the counterclockwise direction of assorted Laplacian-based distribution(s).  I will continue with the third part of this session later!  To Be Continued!  Sincerely, Sam Roach.