Majorana-Weyl-Invariant-Mode And Net Resultant Complex-Roots

Let us initially consider a mass-bearing set of discrete energy quanta, that works here to comprise one given arbitrary orbifold eigenset -- of which is here to exist in a state of a Majorana-Weyl-Invariant-Mode.  Let us next consider the correlative set of those complex-roots -- that are here to be directly associated with the Lagrangian-based Chern-Simons singularities, that are formed in the process of the here latent antiholomorphic Kahler conditions, that are here to be directly associated with the relatively continuous flow of that correlative Ward-Supplemental wave-tug, by which the said orbifold eigenset is here to continuously rebound from within the Ward-Cauchy-related constraints of the said Majorana-Weyl-Invariant-Mode.  Next, let us say that one were here to take the resultant summation of the earlier mentioned complex-roots -- that are here to be directly associated with the earlier mentioned Lagrangian-based Chern-Simons singularities.  Both the scalar amplitude and the directoral-related holomorphicity of those said complex-roots, of such a respective said case, that are not nullified in any one of such a given arbitrary respective case, would here work to indicate to a certain extent -- the eigenindices of both the relative direction and the scalar amplitude of the resultant vibrational oscillations, that are of the resultant relatively superconformally invariant orbifold eigenset, that is of such a given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Majorana-Weyl-Invariant-Mode And Complex Roots

Let us consider an initial situation -- in which one is here to be considering a set of mass-bearing superstrings, that are here to be existent under a condition of a tightly-knit Ward-Cauchy-based state of Majorana-Weyl-Invariance.  Let us next consider the condition, that there is here to be a constant state of a reiterative set of antiholomorphic Kahler conditions -- in which there is to be a relatively continuous state of the formation of Lagrangian-related Chern-Simons singularities.  The relatively tighter that the scalar amplitude is -- as to the condition of the correlative Majorana-Weyl-Invariant-Mode -- the more that there is to be the tendency, of those complex-roots that are thence to be indicatively formed by the earlier mentioned Lagrangian-related Chern-Simons singularities, to add-up to a resultant of basically zero, -- at the reference-frame of the proximal locus of the Ward-Cauchy-based region, of which is at the Poincare level to the external shell of so-eluded-to mass-bearing orbifold eigensets, of which are here to be undergoing that correlative Fourier Tranformation, in which the so-eluded-to set of discrete energy quanta have here to be going through the general activity of a Ward-Cauchy-based condition of a substringular-related "homoestasis" over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little As To Chern-Simons Cusps

Let's consider an orbifold eigenset, that is here being translated as a discrete metrical-gauge-based Hamiltonian operator -- that is here to transcribe a discrete Lagrangian path of concavity, that is primarily of a concave-up nature, -- to where such a transcription of a cohomological mappable-tracing of a discrete Lagrangian path, is here to be hermitian along such a so-eluded-to gauged-metric, when this is taken in both a Lagrangian-based manner, as well as also in a metrical-based manner, too.  This will then work to mean that such a translation of cohomology at this point in spanned duration, will work to bear no Chern-Simons singularities.  At some point along the projected trajectory of the orbifold, -- as the said orbifold eigenset is here to be mapping-out a primarily generative cohomology, that is here to be smooth in both its euclidean-based and in its homotopic-based torsional eigenindices, -- the discrete Lagrangian-based concavity, that is here to be consequently transcribed, will then be spontaneously perturbated into a Lagrangian-based spike, that will here work to cause the so-stated orbifold eigenset to then change in more derivatives than the number of spatital dimensions that it is moving through.  This eminent Ward-Cauchy-based condition -- of a set of consequent Lagrangian-based Chern-Simons singularities, will then tend to be proximal local to the holonomic substrate of the correlatve orbifold eigenset -- to where there will also tend to be the simultaneous presence of a set of metrical-based Chern-Simons singularities, -- via the vantage-point of a central conipoint.  The larger the orbifold eigenset is, in terms of the Hodge-Index as to the overall quantum of energy that the said orbifold eigenset is here to be comprised of, -- the more of a potential variety of complex-roots that may possibly be extrapolated by the consequent Chern-Simons-based Fourier Transformation, that is of the then ensuing activity of the said orbifold eigenset, over time.  Such a just mentioned "spike" may be described of as a Chern-Simons-related cusp.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.