Ghost-Inhibitors And Ward-Polarization

Let us initially consider a set of both cohomological eigenstates and a set of cohomological eigenindices, that are here to be formed by the Fourier translation of the Lagrangian-based path of an orbifold eigenset over time.  Let us say that there is then to be a set of relatively reverse-holomorphic norm-state-projections, that are here to work to bear a Gliosis-based contact upon the so-eluded-to ghost-based indices of both the said cohomological eigenstates and the said cohomological eigenindices -- that I had earlier mentioned to have just been formed over time.  Let us next say that such a said contact is to bear an eminent tense of Ward-Polarization -- that is Poincare to the topological surfaces of the cohomological states that are here to be struck in a relatively reverse-holomorphic-related manner, -- over the so-eluded-to proscribed evenly-gauged Hamiltonian eigenmetric.  Such a said activity will here tend to work to form a Rayleigh scattering of the implied ghost anomalies that had just been formed -- of which will then tend to annhamonically work to scatter such ghosts out of order in the process.  Such a set of relatively reverse-holomorphic norm-state-projections, will, in this particular general genus of a case -- act as ghost-based inhibitors.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

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.

Knotting And Instanton

If the absolute value of the respective Betti number, that is here to be displayed right before any one given arbitrary iteration of instanton -- as this may here be applicable to any one respective given arbitrary superstring of discrete energy permittivity -- is to here to not be equal to the correlative absolute value of the respective Betti number, that is here to be displayed during the directly corresponding duration of the Regge Action that is here to happen just after BRST (just after a vast majority of the duration of the so-eluded-to iteration of instanton), then, the said superstring of discrete energy permittivity will here work to bear indices of cohomology that are here to bear a higher scalar amplitude of knotting -- during the said directly corresponding duration of the Regge Action, --  than the amount of a scalar amplitude of knotting that such a said index-related tense of cohomology that is produced by a superstring of discrete energy permittivity, had then to have displayed from the cohomology that it had produced from right before the said directly correlative iteration of BRST.  This is directly associated with the condition, if this is here to be a case of a superstring that is directly in the process of Noether Flow -- that a superstring of discrete energy permittivity, that is to be in the process of working to alter in the scalar magnitude of the number of spatial dimensions that it is here to display, will compactify in dimensionality right before instanton, -- while such a said superstring will decompactify in dimensnionality during the directly corresponding duration of the Regge Action. (This is in consideration of the Ward-Cauchy-related condition, that the Regge Action happens right at the end of any one respective given arbitrary iteration of instanton).
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Cohomology, Fields, And Knotting

When the general field that any one given arbitrary superstring is to be acting to exhibit, is to alter in its general genus -- to where it is to go from a relatively high spatial dimensional-based field to a relatively lower spatial dimensional-based field over time -- the correlative thence formed cohomological eigenstates and the correlative thence formed cohomological eigenindices, will then be of such a nature -- to where these will then tend to bear a tense of being potentially less tightly "knit" than these were, from the general duration that was here to transpire from before the perturbation in which these were here to be of a higher intrinsic spatial dimensionality, to the general duration in which such a superstring is to then to be of a lower intrinsic spatial dimensionality.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Dimensionality And Cohomology

The higher that the intrinsic spatial dimensionality of a substringular field is -- since this means here, that the correlative knotting of the directly corresponding superstrings of such a case are here to tend to be of a higher power -- the more that those respective cohomological eigenstates and those respective cohomological eigenindices, that are thence to be formed by the interaction of the said superstrings with their point commutative environment, will potentially bear a tighter knitting than those superstrings, that are of Ward-Cauchy-related fields that are of an intrinsically lower spatial dimensionality.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Dimensionality Of Fields And Knotting

The higher that the intrinsic spatial dimensionality is to be -- of the substringular field of any one given arbitrary superstring of discrete energy permittivity -- the higher that the intrinsic power will be, of the knotting that is to tend to be most directly associated with the Ward-Cauchy-related torsioning, that is of the said respective superstring of discrete energy permittivity.  Since all of the superstrings of discrete energy permittivity, that are of any one given arbitrary orbifold eigenset, will bear the same general substringular field -- and thus, will as well, be bearing the same general tense and manner of knotting -- such a just mentioned tendency will work to reverse-fractal-out to the behavior of the said orbifold eigenset over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Orbifold Eigensets, Fields, And Knotting

Each of the respective superstrings of discrete energy permittivity, that work to comprise any one given arbitrary orbifold eigenset -- all work to display both the same general manner and the same general tense of a knotting genus, -- in so long as such so-eluded-to individually taken superstrings of discrete energy permittivity, are to remain in so as to still work to comprise such a said specifically respective orbifold eigenset over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Next As To Fields And Knotting

If one were to have a certain given arbitrary combination of different general genre of substringular fields to interact with each other in a Yukawa-based manner, that is both of one general manner and of one general tense of a collision -- particularly if such a respective interaction were to be of a Gliosis-related manner, -- then, this will here tend to form a general genus of both the composition and the development of both a set of correlative cohomological eigenstates, as well as a set of correlative cohomological eigenindices, over time.  Yet, if one were to now, instead, to have a different given arbitrary combination of different general genre of substringular fields, to interact with each other in a Yukawa-based manner, that is here to be of the one general manner and of the one general tense of a collision that is otherwise similar to both the earlier so-stated general manner and the earlier so-stated general tense of such a Yukawa interaction -- particularly if such a respective interaction were to be of a Gliosis-related manner, -- then, this will then tend to form, what will here be a different general genus of both the composition and the development of both a set of correlative cohomological eigenstates, as well as  a set of correlative cohomological eigenindices, over time, than what the other combination of colliding general genre of substringular fields would thence work to form.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Fields And Knotting

As both the manner and the tense of the correlative knotting of a superstring of discrete energy permittivity is to change in time and space, as the general genus of its respective field is to alter over time -- both the correlative and the respective construction and development of both its directly corresponding cohomological eigenstates and its directly corresponding cohomological eigenindices is to respectively alter, as well, over time.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Fields and Knotting

As the genus of the field that any one given arbitrary superstring of discrete energy permittivity is to exhibit, is to change over time -- both the manner and the tense of its knotting in time and space during each successive iteration of instanton is to alter respectively, under the Fourier-related processes of such a set of these so-eluded-to perturbative Ward-Cauchy-related conditions.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Conservation Of Homotopic Residue

Let us initially consider a non-perturbative proximal locus, that is of a Lagrangian-based discrete energy, that is at a relatively tight instance.  Take a certain general genus of a differential equation, that is here to be relatively Laplacian-based -- that is here to be in terms of two different spatial parameters that are to be signified by two different respective variables.  Let's say that the said differential equation here, is to at least partially represent the quantific condition of both the loss and/or the gain of homotopic residue,--  that is to be present at a "snapshot" of extrapolation.  Solve one of the parameters, in terms of the other -- while then solving for the main variable, that is of this special general genus of a case.  Set this just extrapolated differential solution to the following two different things.:
1)  The inverse hyperbolic cotangent -- in order to work to determine the convergent homotopic residue.
2)  The inverse hyperbolic tangent -- in order to work to determine the divergent homotopic residue.

If this so-eluded-to differential equation, is of an evenly-gauged tense of a relatively Laplacian-based set of Ward-Cauchy conditions, then, the net resultant Reimman-related component of the said homotopic residue, when this is to be determined by subtracting the divergent homotopic residue from the convergent homotopic residue -- will be either of the nature of being 1, 0, or -1.
Take both the correlative Reimman-based angle that is to be derived from the said inverse hyperbolic cotangent as well as the correlative Reimman-based angle that is to be derived from the said inverse hyperbolic tangent.  Next -- subtract the latter angle from the first angle.  The resultant angle should tend to either be of the nature of being either 90 degrees, 0 degrees, or -90 degrees.

Also, if this so-eluded-to differential equation, is of an evenly-gauged tense of a relatively Laplacian-based set of Ward-Cauchy conditions, then, the net resultant Nijenhuis-related component of the said homotopic residue, when this is to be determined by subtracting the divergent homotopic residue from the convergent homotopic residue -- will be either of the nature of being i, 0, or -i.
Take both the correlative Nijenhuis-based angle that is to be derived from the said inverse hyperbolic cotangent as well as the Nijenhuis-based angle that is to be derived from the said inverse hyperbolic tangent.  Next -- subtract the latter angle from the first angle.  The resultant angle should tend to either be of the nature of being either 90i degrees, 0 degrees, or -90i degrees.

One may then call such an extrapolation of evidence, as being of the nature of the Conservation Of Homotopic Residue.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Strengthening Or Weakening Of Gravitational Force

The following is an ansantz (meaning that it is very simple and obvious), yet, I thought that it is needed here -- just to be mentioned as a fundamental basis for discussion.  As we all know, gravity comes in waves. Waves may bear wave cancellation.  Waves may bear wave reinforcement.  More often than not -- any given region will tend to bear both a certain amount of both gravity wave cancellation, And a certain amount of gravity wave reinforcement.  A region of space that works to bear relatively little net gravity, will tend to bear more gravity wave cancellation.  However, a region of space that works to bear an extreme amount of net gravity, will tend to bear more gravity wave reinforcement.  Near black-holes then, there tends to be a a tremendous amount of gravity wave reinforcement. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some More Stuff As To Scattering Of E.M. And Gravity

The higher that the density is, of the presence of electromagnetic energy scattering over time -- the more rapidly that there will tend to be the presence of phenomenology, that is of the externalized core-field-density of light-cone-gauge eigenstates -- that will be struck in a Gliosis-based manner by photons, per any evenly-gauged Hamiltonian eigenmetric, that may be extrapolated as an indepednant metrical-related factor.  Furthermore, the more rapidly that there will tend to be presence of phenomenology, that is of the externalized core-field-density of light-cone-gauge egienstates -- that will be struck in a Gliosis-based manner by photons per time, -- the more Schwinger-Indices that will then work to bear the tendency of being both produced and propagated, over the course of the same so-stated evenly-gauged Hamiltonian eigenmetric.  The more Schwinger-Indices that will then work to bear the tendency of being both produced and propagated over time -- the more likely that there will then be a relatively high quantum of such indices -- that are then to be produced, that are here to move in both a transversal and in a perpendicular manner over time.  Gravity is comprised of a quantum of integrable Schwinger-Indices, that are here to move together -- in both a transversal and in a perpendicular manner.  Therefore, whenever that there is to be a relatively high scalar amplitude of electromagnetic energy scattering -- there is then to tend to be a relatively hightened scalar amplitude -- in the amount or in the quantum of the gravitational force, that is here to then to tend to be present.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Cool Stuff As To Calabi-Based Interactions

Whenever a photon is to scatter upon another discrete quantum of energy -- the relatively forward-holomorphic end of the initially stated photon, is to react in a Cevita-related manner -- to a Gliosis-related strike, that is to be translated upon the externalized core-field-density of the light-cone-gauge topology (note, not a head-on strike), of that respective discrete quantum of energy -- that it is here to have scattered upon. Yet, when a photon is, instead, to quantize with another discrete quantum of electromagnetic energy -- a relatively Nijenhuis-to-holomorphic end of the said photon, is here to coalesce with a relatively Nijenhuis-to-holomorphic end -- of that discrete quantum of electromagnetic energy that it is to quantize with.  The scattering of phenomenology with electromagnetic energy, is a general genus of an interaction -- that is eventually to tend to happen to any Calabi-related manifold over time.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Holomorphic Direction And Light Scattering

When an individually taken photon is to scatter upon another discrete quantum of energy, not only will the photon alter here in its holomorphic direction, once it is to become scattered into an entropic phenomenon -- it will temporarily alter in its holomorphic tendencies, until it is here to become re-quantized into a beam of electromagnetic energy.  You see, every different general genus of Ward-Cauchy-related phenomenology, works to bear its own set of holomorphic tendencies.  A discrete quantum of energy that is of a d-field is to work to bear a different set of holomorphic tendencies than a discrete quantum of energy that is of an f-field - whereas, a discrete quantum of energy that is of a p-field is to work to bear a different set of holomorphic tendencies than a discrete quantum of energy that is of either a d-field or of an f-field.  Furthermore, -- a discrete quantum of energy that is of a scattered photon as it is of an entropic state, is here to work to bear a different set of holomorphic tendencies than those of an unscattered photon that is not of an entropic state.  This is due to the basic general condition, -- that both the wave and the particle-based characteristics of a discrete quantum of energy, that are of a given arbitrary general genus of a Ward-Cauchy-related field -- are going to vary, when that said general genus of a field is to alter -- which is here going to mean, that the wave-tug/wave-push of such a field is going to then to tend to be inherently exhibited differently.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Some Stuff As To Matter Versus Antimatter

Matter works to obey a tense of the Anti-De-Sitter/De-Sitter-related gravitational mode.  Antimatter, however, works to obey a tense of the De-Sitter/Anti-De-Sitter gravitational mode.  What the said Anti-De-Sitter/De-Sitter gravitational mode amounts to, is, is that the directly corresponding multiplicit bonding cite -- that is here to involve the kinematic activity of mesons, is here going to tend to initially work to organize the proximal local field of the binding cite -- while then ensuing to act in so as to apply the actual activity of that bonding, that is here to be done by the multiplicit meson that is here to work to attach those subatomic particles together -- that are here of a necessity, in so as to work to form the essential phenomenology -- that work to form any one given arbitrary atom.  Whereas, -- what the said De-Sitter/Anti-De-Sitter gravitational mode amounts to, is, is that the directly corresponding multiplicit boding cite, that is here to involve the kinematic activity of mesons -- is here to tend to be applied, in so as to act to form a tense of a bonding at the respective correlative bonding cite -- while then ensuing to act in so as to work to organize the proximal local field of the said correlative bonding cite.  It is more likely for subatomic phenomena to both successfully become created and sustained, if the bonding cite in which such said subatomic particles are created, is to initially to bear an organized bonding field before it is brought into existence by the kinematic activity of mesons -- than if otherwise, to where a situation were to occur to where the bonding cite is tugged together, before the field of the bonding cite is to become organized.  Matter is formed when a relatively Reimman scattering process is to be applied to the bonding field -- before the correlative mesons tug together those subatomic particles, that are essential for the formation of atoms.  Whereas, antimatter is formed when a relatively Rayleigh scattering process is to be applied to the bonding field -- before the correlative mesons tug together those subatomic particles, that are to form such said antimatter.  An organized bonding field, before the bonding activity of the activity of mesons is to happen -- works to facilitate the formation of the correlative subatomic particles.  This is the main reason why matter won-out over antimatter.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Gravity And Warped Light-Cone-Gauge Eigenstates

High amounts of gravitational force, will often act in so as to work at warping the topological stratum of those light-cone-gauge eigenstates -- that are proximal local to such a high application of gravitational force.  Whereas -- high amounts of anti gravitational force, will often act in so as to work to reverse such an earlier mentioned warping of the topological stratum of light-cone-gauge eigenstates -- that are proximal local to such a high application of the said anti gravitational force.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

E(6)XE(6) Strings And Oscillation-Based Tendencies

Just as the oscillation-based tendency of the multiplicit E(8)XE(8) string works, in so as to help in the structural integrity of its respective orbifold eigenset -- the oscillation-based tendency of the multiplicit E(6)XE(6) string works, in so as to help in the structural integrity of its respective light-cone-gauge eigenstate.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Orbifold Density And Singularities

The greater that the Lorentz-Four-Contraction that is to happen to any one given arbitrary orbifold eigenset over time -- the more dense that the said orbifold eigenset is then to tend to become, over the process.  This just mentioned increase in a respective orbifold-related density, is then to work to increase the relativistic pulse of the said eigenset, as it is acting in a Fourier-related manner as a propagating holonomic substrate -- to where it is then to tend to work to bear a set of one or more metrical-based Chern-Simons singularities, just as such a so-stated orbifold eigenset is to act in so as to increase in its pulse -- relative to both the motion and the presence of electromagnetic energy, over a relatively covariant inter-relationship of an evenly-gauged Hamiltonian eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cotangent Bundle And Polyakov Action

The greater that the Lorentz-Four-Contraction that is here to happen to an orbifold eigenset, that is here to be comprised of mass-bearing superstrings of discrete energy permittivity -- the more that there is to be a greater quantity of the respective mass-bearing strings, that are then to be existent from within the Ward-Cauchy-related bounds of the here mentioned orbifold eigenset, -- since such a said eigenset is to then to work to bear a greater quantum of mass, and mass is a form of energy, as well as the obvious and the fundamental condition that energy is comprised of by superstrings.  Yet, over the course of the same activity that is here to be directly associated with such an increase in the respective Lorentz-Four-Contraction that is of the said orbifold eigenset -- the individually taken superstrings that are here to work to comprise the said eigenset, are to then to contract as is as according to the just stated mode of a contraction, and the time that is here to be experienced by the said orbifold eigenset is to be slower than the time that would otherwise be experienced by a terrestrial observer.  Furthermore -- the greater that the Lorentz-Four-Contraction that is here to happen to a mass-bearing superstring of discrete energy permittivity -- the less mini-stringular segmentation that is then to tend to be fed into the proximal locus of the Ward-Cauchy-bounds of the so-eluded-to cotangent bundle of the said superstring of such a case, in and of itself, over a respective directly covariant eigenmetric, since the individually taken superstring that is here to be being discussed in this particular given arbitrary case, is to then to be experiencing a lower tense of a Polyakov Action egienstate.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Dimensional Compactification And Chern-Simons Singularities

The more compactified that the dimensionality of a superstring of discrete energy permittivity is to become, over time -- the more amplified that its directly corresponding Hamiltonian-related pulse will then have tended to become, since it will then become of such a nature to where it will tend to be tugged through space more "aerodynamically"  -- which will then tend to result in one or more metrical-based Chern-Simons singularities, that will here tend to be situated at the proximal locus at which it has to have then to become of a more compactified dimension, which will then result in the externalized propagation of a relatively ellongated pulse, that is here to be conveyed outward from the said string over time.

Gauge-Tranformations And The Light-Cone-Gauge

Whenever electromagnetic energy scatters upon another phenomenon -- one or more photons is each (each photon), individually taken, acting in so as to strike the externalized core-field-density of the light-cone-gauge topology of another discrete quantum of energy.  So, whenever electromagnetic energy is to scatter upon anything in a Noether-related manner, over time -- the resultant Gaussian Transformation that is correlative to the Kahler-Metric, that is here in a Gliosis-related manner, may be called a gauge-transformation.  It is the Fourier-based activity of gauge-bosons -- acting in so as to "pluck" the correlative and respective second-order light-cone-gauge eigenstates, -- that works to form those Schwinger-Indices, that move in so as to flow about the Rarita Structure,  in so as to work to influence as to what genus of force is to be displayed at where, in the Ward-Cauchy realm of the substringular.  When such Schwinger-Indices come together, in so as to work to form a wave-based holonomic substrate -- that is to travel in both a transversal and in a perpendicular manner over time -- this works to form gravitational waves.  When such Schwinger-Indices work to help at localizing a multiplicit quantum of discrete energy per cohomological generation over time, -- this works to then help at forming a basis for the electromotive force.  When such Schwinger-Indices work to form a centralized knotting of eigenstates along the multiplicit Rarita Structure eigenstates -- this works to help at forming the strong force.  Furthermore, when such Schwinger-Indices work to destabilize the strong force indirectly at various loci, -- this works to help at forming the weak force.  Metaphorically think of the Rarita Structure as like the "veins" and the "arteries," in a way, in the general tense of a perception, that is over the sequential series of instantons that occur during the generally noticed duration of Ultimon Flow.  Next, -- metaphorically think of the Schwinger-Indices as the "blood" that works to help at carrying nutrients to the multiplicit array of living cells, -- by the condition that this is symbolic of the condition that the Fourier-related activity of the multiplicit Schwinger-Indices, works along the Rarita Structure, in so as to help to provide for the enactment of the basic forces that exist in nature.
 I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As The Euler Of The Del Of The Ricci Flow

Here is something else that I have mathematically thought of.:

The lower that (e^(the del of the Ricci Flow)) is, the greater that (1/(e^(del of the Ricci Flow))) will then be -- to where, in and of itself, the higher that the metric-gauge-related pulsation will then tend to be.  This is if one is to be working to consider here, what the metric-gauge-related pulsation is to be -- between any two respective given arbitrary orbifold eigensets in space and time.

I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Euler Of The Del Of The Ricci Flow

Here is something that I derived, although I lack some confidence as to whether or not this is the case.  Please indicate as to whether or not, that I derived the following right.:

e^(the del of the Ricci Flow) = (the derivative of inverse secant of (e^(the Ricci Flow))).

I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.