Wave Modulae And Rham-Based Cohomologies

Let us say that one is to have an orbifold eigenset -- that is to bear a tense of a wave modulus, that is to basically be of the nature of:  e^(lambda*the wave function), -- at which the "lambda" constant is to basically be zero.  This would then make the directly corresponding wave-based modulus, to be basically of a unitary nature (of the nature as to be appertaining to "one.") This would then work to mean, that the directly corresponding orbifold eigenset, is: 1) To be of a basically pure Rham-based nature.  2) To bear no spurious iterative singularities.  3)  To bear a directly corresponding cohomology, that will tend here to be heuristically Rham. 4)  To tend to bear a relatively high tense of Majorana-Weyl-Invariance -- at the immediately proximal local external-based reference frame, at the Poicare level. & 5)  To tend to neither significantly generate nor to significantly degenerate any cohomological topological stratum.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Second Part of the Aside To Course 16 From Earlier

Harmonic oscillation of a Yau-Exact genus of a Real-based cohomology in world-sheets varies in hermitian eigenstates, per both substringular metric and per iteration.  Such a format of a harmonic oscillation works to obey the conditions of a Chan-Patton basis of factors, that correlate to the operational genus of those given arbitrary superstrings -- that operate in both a Lagrangian and in a metrical manner that is Yau-Exact in function.  This is the case, whether the directly associated world-sheets that work to form the eluded to ghost anomalies in question are created by a one-dimensional superstring of discrete energy permttivity, or, if the eluded to ghost anomalies in question are created by a two-dimensinonal sueprstring of discrete energy permittivity.  So, any given arbitrary Yau-Exact genus of a Real-based cohomology is going to differentiate both in a Lagrangian manner and in a metrical manner that is purely hermitian -- when in terms of the its directly corresponding harmonic oscillation -- if the eluded to cohomology -- that the eluded to mapping-out of the directly associated ghost anomalies, is of a Rham-based nature.  Yet, if a cohomological tense of a ghost anomaly-based distribution is configured, instead, in a Doubolt-based nature, then, the just eluded to tense of a ghost anomaly-based distribution will tend to at least bear some format and/or genus of a Chern-Simmons-based ghost anomaly-based pattern, that is therefore not Yau-Exact in nature over its delineation-based index over time.  This is always true if the cohomology  that I am here describing is kept as a Real-based cohomology, yet, if one is instead discussing a cohomology that is veered from being an initially considered Real-based cohomology into a Njenhuis-based cohomology -- that would here then bear no given arbitrary Chern-Simmons-based singulaties -- over that metrical and/or Lagrangian set of conditions that work to describe the delineatory indices of an attributed given arbitrary superstring or set of superstrings that are pulled off of the here relatively Real Reimmanian plane, over a sequential series of iterations of group instantaon that may be used to describe the correlative alteration in the directoral pull of the just eluded to motion of the directly associated general substringular format of kinematic flow, then, what may here be being described may here be a cohomological pattern that is kept Yau-Exact, yet, will here convert from being a Real-based cohomology into being a Njenhuis-based cohomology  (that is then of a Doubolt nature instead of a Rham nature). The genus of what I just described as the exception to the just prior mentioned general format, is what the case often is when one has an antiholomorphic Kaeler Metric that is inculcated from within the general spatial premises of a regional substringular locus.  The genus of the operation of the hermitian differential flow that would then here exist -- in the just eluded to general locus -- is a cohomological set of topological-based sways that works to obey a Li Algebra-based Yau-Exact harmonic oscillation, that is pulled off of the relative Real Reimmanian plane with both no Lagrangian-based nor metrical-based spikes or spurs of delineatory singularities -- at the here relevant Poincaire level.  Such a genus of a Yau-Exact-based kinematic motion of superstrings will tend to bear at least some sort of linear format of delineatory perturbation of sway from one locus of consideration where a given arbitrary substrigular flow is existent at at one iteration of group instanton, to the next locus of consideration as to where the said given arbitrary substringular flow is existent at at the next iteration of group instanton.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Orientable & Non-Orientable World-Sheets

When a two-dimensional superstring travels transversely though space as a photon via Noether Flow, it forms a three-dimensional world-sheet that has an annulus in its center. An annulus is a hole that acts as an empty shaft. Such a torroid may travel straight, if in a vacuum, in the direction that it is propagated in. When a superstring bears a world-sheet that is straight, it bears a Rham trajectory. When one Rham world-sheet conjoins upon another Rham world-sheet that is collinear to the first Rham world-sheet, the cohomology formed by this is known as a Rham cohomology. The annulus of a three-dimensional world-sheet is Njenhuis to the world-sheet itself, since it is variant and unacted upon by the trajectory of the associated two-dimensional superstring. When a given superstring differentiates in a conformally invariant manner, yet tending to move in a specific directoralization via the integration of the Fourier Series that defines the initial torroidal structure's relative Laplacian through a Lagrangian that is unitized, the given two-dimensional superstring will then propagate as a unit that obtains a mass index under the speed of light in a Noether manner in a Rham manner to form a Rham world-sheet that exists as a unitized and thus an orientable world-sheet. The difference between the Rham world-sheet produced by the trajectory of a photonic bosonic superstring, and the Rham world-sheet produced by the trajectory of another sub-atomic particle that is a boson traveling just under light speed, is that a photonic bosonically based world-sheet will be a cylinder shaped with an annulus while a very fast (just under light speed) subatomic particle that is not a photon, will travel as an organization of an average of more than one iteration per general transversel locus that is propagated transverselly via a Lagrangian to form a torroid that is shaped like a doughnut, and is an integration of many of such doughnut shapes of such through a specific direntoralization through that Lagrangian. Photons, moving straight and transversely through space, also travel as a Lagrangian through a Lagrangian, yet with more of a flat cylindrical phenomena with an annulus shape instead of a doughnut shape that is propagated with an annulus. When a superstring is orientable, its world-sheet is orientable. When a superstring and its world-sheet is orientable, it travels under light speed Or at light speed, depending on if it is a sub-atomic particle that is Noether other than light OR light in a medium besides a vacuum OR if it is at light speed exactly -- the transversel kinematic differentiation of a photon through a vacuum. When a superstring is tachyonic, it is unorienable. So, when a superstring is tachyonic, it is unorientable. So, when a superstring is tachyonic, its world-sheet is unorientable. This produces (tachyonic flow produces) an Imaginary shift in the relations between world-sheets that are not Real Reimmanian because it skips Noether planes. A skipped Noether plane is possible because superstrings travel through ultimon flow in-between each iteration. Each time a supersting is detected, it has traveled basically around the ultimon.


Iteration Time = (hs+ihs).