Besides hermitian-based singularities, with reference to either superstrings, orbifolds, and/or orbifold eignsets, -- there are Chern-Simmons-based singularities with reference to either superstrings, orbifolds, and orbifold eigensets. Any given arbitrary superstring -- that is directly associated with the Yakawa Couplings, of which appertain to a discrete phenomenon of mass -- happens to exist, over time, in a vibrational-based context, that would here be directly associated with a manifold that is known of as a Calabi-Yau manifold. Superstrings of mass bear Yau-Exact singularities. A Calabi-based manifold is an attribute to the ghost-based manifold of any given arbitrary superstring, that here eludes-to the condition of the interaction of electromagnetic energy with that superstring, over time. This is due to the prevaliant fact that all physical phenomena exist, to some extent or another, in relation with both the existence and the motion of electromagnetic energy. So, Calabi-based manifolds elude-to the existence of the scattering of electromagnetic energy upon the multiplicit contextual holonomic substrate of superstringular phenomena of discrete energy. This, then, works to indicate the condition of hermicity, that superstrings of mass show attribute to over time, as a mass that may be arbitrarily considered here, in a given case, to then bear such a conditionality as these then moving through their correlative Lagrangian-based paths -- in whatever kinematic-based format or genus that these may here happen to be differentiating in -- in the directly inferred Fourier-based differentiation. Hermitian-based singularities are smooth in Lagrangian-based translation, over any directly associated mappable tracing in which such an eluded-to kinematic-based superstring is moving through any given arbitrary path, to where there is no spike in the Ward-Caucy-based curvature in which such a so-stated superstring is going through, in any directly associated integrable sequential series of group instanton. Also, if any given arbitrary superstring is of a hermitian-based nature, the pulsation of its vibrational-mode -- when one is to initially compare the gauge-metrics of such a pulse in one iteration of BRST, while then comparing the ensuing genus of gauge-metrical activity of the said given arbitrary superstring over a specific directly affiliated sequential series of iteration of BRST, -- to where the rate of the so-eluded-to pulsation of the holonomic substrate of the correlative eigenstate of Calabi-based manifold is happening -- in a manner that neither accelerates nor decelerates -- over the set metric in which such a specified given arbitrary superstring is kinematically moving in its correlative Lagrangian path over time. Yet, if the rate of the just mentioned pulsation of the said superstring is to abruptly accelerate and/or decelerate over any specifically considered given arbitrary duration of time, then, the so-eluded-to spike in the harmonics of its Gliossi-based vibration will then here be considered to bear what is known of as a spurious condition. This is the basic idea as to what a metrical-based Chern-Simmons singularity is based upon -- in premiss. If a superstring bears any Lagrangian-based singularities or metrical-based singularities -- in any specific time period in which such the directly associated Ward-Caucy bounds of the said superstring is being given consideration -- then, the superstring is said to Not be Yau-Exact at that time. Rham-based cohomologies are Yau-Exact, while, Doubolt cohomologies often bear at least some Chern-Simmons singularities. The exception is a cohomology that is pulled -- in one manner or another -- off of what the relative given arbitrary Real Reimmanian Plane. A cohomology that bears Njenhuis-based Lagrangian and/or Njenhuis-based metrical singularities will be of a Doubolt nature -- even if it is of a Yau-Exact nature.
I will continue with the suspense later! To be Continued! Sincerely, Sam Roach.
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