Dimensional Compactification And Twining

The higher the dimensional compactification that is here to happen to a superstring of discrete energy permittivity over time is to be, the lower that the correlative scalar amplitude of the correlative knotting that is here to tend to happen to the directly corresponding cohomological eigenstates and the directly corresponding cohomological eigenindices over that said reference frame of time.  Furthermore -- the lower the dimensional compactification is here to happen to a superstring of discrete energy permittivity over time is to be, the higher that the correlative scalar amplitude of the correlative knotting that is here to tend to happen to the directly corresponding cohomological eigenstates and the directly corresponding cohomological eigenindices over that said reference frame of time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Majorana-Weyl-Invariance And Resonant Vibration

Let's say that one were here to be dealing with mass-bearing discrete quanta of energy.  The higher that the Majorana-Weyl-Invariant-Mode is -- at the reference frame of the proximal locus of the directly corresponding orbifold eigensets, that are here to work to be comprised of by the respective given arbitrary mass-bearing discrete quanta of energy of such a given case -- the higher that the directly corresponding resonant vibration will tend to be of that mass, that is here to work to be comprised of by the said respective correlative orbifold eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Orbifold Eigensets -- Different Reference Frames

Let us initially consider a set of superstrings, that operate in so as to form one specific function -- as what is here to be the eminent presence of one given arbitrary orbifold eigenset.  Let us consider that the respective orbifold eigenset of this case, is to bear a relatively high scalar amplitude of a tense of Majorana-Weyl-Invariance -- when this is taken at an internally-bearing of a Ward-Cauchy-based reference frame.  Next, let us say that the orbifold eigenset as a whole phenomenon, is to here to be moving in a transversal-based manner -- via a discrete unitary Lagrangian, in such a manner to where the scalar magnitude of the said orbifold eigenset's velocity, as it is traversing its so-eluded-to discrete unitary path, is here to be about cosine(30 degrees)*(the speed of light).  As the said orbifold eigenset is here to be traveling in a relatively "straight" manner at a rate of cosine(30 degrees)*(the speed of light), -- it is here to bear a Lorentz-Four-Contraction upon its internally composite set of superstrings -- that are here to work to make-up the so-stated orbifold eigenset, of a factor of two.  So, as those superstrings that are here to move in a tense of Noether Flow, as these discrete quanta of energy are here to be working to comprise the said orbifold eigenset, -- each of the superstrings of discrete energy permittivity that  work to help at forming the so-stated eigenset, are to then to bear a Lorentz-Four-Contraction of a factor of two. This would as well work to mean, that the here involved Polyakov Action that is to be directly correlative in this case, would then work to bear a scalar amplitude of a factor of 1.5*10^8.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

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.

General Genre Of Cyclic Permutations

I can immediately think of three different general genre of cyclic permutations.:  1)These may be Calabi-based. -- There may be fluctuations in any one respective given arbitrary tense of a Majorana-Weyl-Invariant-Mode, that is Poincare to the so-eluded-to internal reference frame -- that is of the correlative topological stratum of the correlative holonomic substrate.  2)These may be metrical-based. -- There may be an analogous but different relatively proximal local gauging of the directly corresponding group-metrics, that may be effectual to the Gliosis-based topological stratum, that is here of the correlative holonomic substrate at the Poincare level.  &, 3)These may be Lagrangian-based. -- There may be analogous but different relatively proximal local Lagrangian-based paths, that may be attributed to the correlative metrical-gauge-based Hamiltonian activity that may be traversed, -- over the course of a directly corresponding Fourier Transformation, that would here be happening at an internalized gauged reference frame.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Next As To Reverberations

Let us here consider a different general case scenario, as to a reverberating orbifold eigenset -- that is to here, circulate in a basically rectangular Lagrangian-based path, at what is to will here be at a relatively internal-based reference frame, over time.  Let us next say that the here respective given arbitrary orbifold eigenset of such a respective case scenario, is to initially move in a relatively "straight" manner -- in such a way, as to where such a relatively "straight" direction is to here be considered as to be going in what may be here called of as the respective holomorphic direction.  Some time later, the so-stated orbifold eigenset is to turn towards the relative right or in the relative Njenhuis-to-reverse-holomorphic direction.  Let us next say, that some time later -- the said orbifold eigenset is to turn to the relative "right" as such, -- at an initial total of four times -- in so as to be reverberating in the earlier stated rectangular Lagrangian-based path.  Let us now say, that, upon the fourth so-eluded-to completion of such a so-stated "right"-based turn of the said orbifold eigenset -- there is to be a mild perturbation or alteration in the Stoke's-based angling of the directoral-based pulsation of the so-stated orbifold eigenset -- to where the said eigenset is to here be starting in the course of a rectangular reveberation, that is cyclical in permutation, over time.  Let us next say that such a just started iterative course of a rectangular-based reverberation, is to here be reiterative, over a successive series of instantons -- at a relatively internal reference frame.  At a relatively more external reference frame --  the so-stated orbifold egienset is to reverberate from going into the relative "down" or reverse-norm-to-holomorphic direction, into subsequently at a future metric -- going into the relative "up" or forward-norm-to-holomorphic direction.  In this given arbitrary respective case scenario -- that group-attractor, that is to help in working to cause the said relatively "down" motion, is to act in a chiral-based manner upon the said orbifold eigenset, whereas that group-attractor, that is to help in working to cause the said relatively "up" motion, is to act in an antichiral-based manner upon the said orbifold eigenset.  This latter mentioned difference from what was said as to happen in earlier posts, is due to the condition, that, at a relatively internal reference frame of this here differing case scenario -- the respective orbifold eigenset is to bear a tendency of a relatively "right" turning mode instead of bearing a tendency of a relatively "left" turning mode.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.