Part Four Of Solitons

If a soliton is here to be acted upon, by a relatively homeomorphic gravitational field (to where this said gravitational field is here to not be confused with a diffeomorphic phenomenology, since such a field is Not a manifold, it is, instead, a kinematic set of interacting eigenstates -- that work, over a given correlative Fourier Transformation, in so as to work to form a smoothly functioning field of pertinent Hamiltonian operators), then, it is more than likely in such a case here, to tend to allow for the said soliton to remain as still being a soliton.  This is, in part, because, if a relatively smoothly functioning set of gravitational eigenstates, are to work to interact upon such a said phenomenology as a soliton, over an evenly-gauged Hamiltonian eigenmetric, -- this, in and of itself, will Not tend to work to alter such a said phenomenology to go into such a process -- in so as to perturbate out of being a complex holographic manifold that is of a flat Ricci curvature that is not compact, -- and it will, as well, Not tend to be relatively prompt at spontaneously altering the said soliton, from allowing its delineation over time, to work to distribute the pertinent eigenstates of a holomorphic vector field over time, that it would here work to distribute in so long as it is still to remain as being a soliton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Three As To Solitons

Let us initially consider one given arbitrary Ward-Cauchy-related phenomenon, that is here to be a soliton.  Let us consider the condition, that, in order for it to be a "soliton," it is to not be compact -- to where it is here to conform to the Ward-Cauchy-related condition, that it is to bear a tense of diffeomorphisrm.  Since the said soliton is to work to bear diffeomorphisrm, it is to bear a manifold, complex here if you will, that is to have both a smooth and an isomorphic homeomorphic topological contour -- to where one could theoretically try to here, act in so as to extrapolate a Laplacian-related cohomological mappable-tracing, along the Minkowski-related plane of its external topological surface, at the Poincare level -- in such a manner, to where there would here be the condition of one to not to have any Lagrangian-based Chern-Simons spurs to be detected.  This would then work to mean here, in this given arbitrary general case,  that the absolute value of the Beti number would not vary, and, in so long as such a soliton is here to be of a Noether-related tense of phenomenology, such a consistent absolute value of the Beti number, would be of the same absolute value of an even integer per group-related instanton, in so long as both the constraints as to being -- that such a said phenomenon is to be a soliton, as well as the constraint, that the said phenomenon does not become tachyonic here at all.  Yet, if the absolute value of the Beti number is to either decrease or to increase spontaneously, then, the soliton will no longer be a soliton -- it will then be of a compact nature, that will to be either losing or to be gaining a certain number of spatial dimensions, spontaneously.  If such an initially stated soliton, that is to change into not being a soliton, in such a manner -- to where there is not only a change in the compactification of its correlative dimensionality, yet also to where -- the topological strands of the said superstring are to expand, in terms of the scalar amplitude of their Ward-Neumman bounds, over a relatively transient evenly-gauged Hamiltonian eigenmetric, -- then, there is then to be a Clifford-Expansion in the size of the core-field-density of such a phenomenon, that is here to have perturbated from being a soliton into Not being a soliton.  Furthermore, if such a change is here to work to convert an initial Legendre homology into a symplectic homology, over time -- then, such a change will almost certainly work to alter the initial complex manifold M, -- into then being of a Real Reimman manifold, instead.  If such an alteration in the type of phenomenon that is being discussed, is to work to bear a set of one or more Laplacian-based Chern-Simons Lagrangian-related topological spurs, then, the said phenomenon is to no longer be of a flat Ricci curvature.  Let us still stay, though, that the flow of such so-eluded-to phenomenon will work to displace a holomorphic vector field.  Such A Change In Ward-Cauchy-Conditions Is One General Manner Of How One Given Arbitrary Eigenstate Of A Nijenhuis Holographic Spacing, May Work To Convert Into A Real Reimman Hilbert Space, Thus Working To Convert The Soliton Into A Cohomological-Based Compact Calabi-Yau Space, Which Is Then No Longer A Soliton.  This may often be able to happen, when there is a significant dissonance of the tendencies of the push and tug of gravitational waves, in such a manner -- to where the "best-fit-curve" as to how such a phenomenon as to what was initially a soliton -- is to behave, is then to bear a perturbative alteration, in both the display and in the scalar amplitude of its "phenotypical" correlative proximal local altering cotangent bundle.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

E.M. Striking Mass-Bearing Superstrings

When a photon is to strike a mass-bearing discrete quantum of energy -- the said photon is then to tend to strike the externalized core-field-density that is of the light-cone-gauge eigenstate that is of that self-said mass-bearing discrete quantum of energy.  Two immediately adjacent superstrings that are of the same universal setting will tend to be orthogonal to one another, in a Ward-Cauchy-related manner.  So, when a photon is to strike a mass-bearing discrete quantum of energy in a viable manner, that is as well of a Gliosis-related manner -- the collision of the said photon with the mass-bearing quantum, is to be of an orthogonal manner, and in the so-eluded-to Ward-Cauchy-based manner over time.  As the said photon is in the process of colliding with the said discrete quantum of mass-bearing energy, the said externalized core-field-density that is of the light-cone-gauge eigenstate that is being struck here (the light-cone-gauge eigenstate of a discrete quantum of energy is the relatively wave-based phenomenology of the discrete energy impedance of the said given arbitrary discrete quantum of energy), -- this so-eluded-to impartation of force that is thus convened, will work to alter the "plucking" activity of the correlative gauge-bosons upon the correlative second-order light-cone-gauge eigenstates -- that are here of the directly corresponding mass-bearing discrete quantum of energy.  This will then often work to alter the scalar amplitude of the resultant implementation of the correlative formation of Schwinger-Indices that are thence formed by the said discrete quantum of mass-bearing energy over time.  As this is happening, the correlative electron -- of which is comprised of the orbifold eigenset that had here to have just contained that superstringular phenomenology that had just been struck -- will drop back-and-forth an energy level, in so as to work to release its residual discrete kinetic energy in the form of a discrete quantum of electromagnetic energy.  When there are a large number of such collisions of photons upon a proximal localized set of mass-bearing quanta of discrete energy -- over a discrete evenly gauged Hamiltonian eigenmetric, those discrete quanta of electromagnetic energy that will tend to be produced, will usually tend to be primarily those photons that are here to be of an infrared or heat-based nature.  Thus, the application of light upon a mass may often work to both increase the heat of the mass, as well as working to effect the proximal local condition of the Ricci Scalar eigenstates that are here to be locally attributed to such a given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two Of Black-Hole "Blow-Torches"

When holonomic substrate from black-hole "blow-torches" exit the apex-like end of an individually taken black-hole, this antimatter is then acted upon, in so as to convert the effectual De-Sitter/Ante-De-Sitter gravitational directoralization that is of its associated Ricci Scalar, into an Ante-De-Sitter/De-Sitter gravitational directoralization that is of its associated Ricci Scalar -- at that general point in time.  Yet, in this case, the illumination of the described "blow-torch" is then to work to form an eminent tense of impedance, upon what may be described of metaphorically as a "jet-stream," to then to work to convert the given antimatter into matter.  Again, the cohomological binding of multiple "blow-torches" may often work to form a supernovae, which, when perturbated upon in a Dirac-like manner, may often work to form a Nebulae.  In either case, some phenomena that is frayed in a black-hole, is tugged-in by the consequent tremendous gravity -- while then being converted into an anti gravitational phenomenon, that is then "spit-out" of any given arbitrary said black-hole.  Disorganized material phenomena that is "spit-out" will then exit the wide end of a black-hole -- while disorganized anti-matter-related phenomena will, instead, exit the apex-like end of a black-hole.  In either case, such "blow-torches" often accumulate -- in so as to work to form supernovas, of which often work to form Nebulae, that redistribute material phenomena through the universe.  This is not the only way supernovas are formed, though.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Part One As To Some Stuff About Black-Hole "Blow-Torches"

Black-Holes are torsioning funnels of gravitational pull, that are formed by collapsed white dwarf stars.  Gravitational force tends to obey g = (MmG/(R^2)).  Here, g means a gravitational force.  "M" means the larger mass that is considered in a given case.  The "m" means the smaller mass that is considered in a given case.  "R^2" is the radius of the larger mass squared.  "G" means the Universal Gravitational Constant.  When a white dwarf collapses into a highly massive relatively pointal distribution of frayed sub-atomic particles, the "R" of "R^2" is of the radius of the larger mass, to where "M" is much larger in radius than "m," and therefore "m" has a much smaller radius than "M."  Such a dense delineation of a relatively small volume, that is frayed, is to then to form a torsioning -- that not even light can escape when it is tugged-in by the kinematic activity of any given arbitrary respective black-hole.  Once a black-hole starts to form, the dense relative "bottom" (the norm-to-reverse-holomorphic end) of the given black-hole, turns into a conical apex of that selfsame black-hole.  Black-Holes fray substringular phenomena, and such a resultant torsioning funnel of strong gravity -- that is consequently formed -- has relatively few ways of being destroyed.  At times, "jet-streams" of frayed phenomena are expelled from the larger opening of a black-hole.  Such "jet-streams" work to become illuminated by the surrounding electromagnetic energy, in so as to add impedance to such "jet-streams," -- in so as to not only keep its velocity under light speed, yet also such impedance works to reverse the De-Sitter/Ante-De-Sitter gravitational directoralization of the given "blow-torches' " genus of the proximal local Ricci Scalar attribution, in so as to work to cause the given "streams" to convert from initially working to bear an anti gravitational flow into a gravitational flow.  Both the Calabi-Yau, the Calabi-Wilson-Gordan, and the Calabi-Calabi interactions of electromagnetic energy -- that are here to work to bear a Gliosis-based contact upon the given "blow-torches," along with the given reversal of the associated genus of the proximal local Ricci Scalar attribute, is then to act in so as to re-assemble the frayed superstringular phenomena, to go back into the consequent formation of discrete unfrayed superstringular quanta-related phenomenolgy -- that are thereby able to interact in a viable manner with other discrete unfrayed superstringular quanta-related phenomenology -- in such a manner in so as to decrease the initial excess relatively proximal local Ward-Cauchy-based permittivity, over time.  The accumulation of such "blow-torches" that have here to have coallesced and differentiated in the general region of such a said black-hole, will sometimes work to form a supernovae, which, when acted upon by a Dirac-like perturbative force that has a relatively large macroscopic scalar amplitude, may sometimes consequently decompactify by thus working to form a Nebulae.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

What Helps To Form Modulae

Let us initially consider a given arbitrary orbifold eigenset -- when this is taken in terms of both its fractal modulus and its elastic modulus.  Determine what works at the substringular level, to help at both the formation of the respective given arbitrary orbifold eigenset's fractal modulus, as well as workling to help in the formation of its elastic modulus.  As an aside, let us think about the general Ward-Caucy-based conditions -- as to the relative Laplacian-based nature (which may also here be thought of as a tightly-knit Fourier-based set of conditions, that exist during the individually taken gauge-metrics during a group-related instanton) of those superstrings of discrete energy permittivity, as well as the conditions of those second-ordered light-cone-gauge eigenstates -- as these are to here exist during the tightly-knit Fourier-based conditions (or, the relatively loose correlative Laplacian-based nature), that are to exist over the self-same duration of group-related instanton, -- as the so-stated superstrings and their substringular counterparts work to form vibrational oscillations at their delineatory placements during BRST, which is during the same general state of that gauge-metrical activity that is to happen, as the said second-ordered light-cone-gauge eigenstates are "plucked" like a harp by their correlative gauge-boson eigenstates -- in so as to form the correlative Schwinger-Indices.  Both the vibrational oscillations of discrete energy permittivity, and the Fourier-related delineation and distribution of Schwinger-Indices -- are kinematically drawn along the directly corresponding Rarita Structure -- in so as to help to form that interdependent activity by which the Rarita Structure is to both form and implement the general proximal localized Ricci Field -- in so as to work to form those inter-connections that are to here exist between discrete quanta of energy and the activity of both gravitons anf gravitinos, over the course of a sequential series of group-related instantons.  For an orbifold eigsenset -- when there is a relatively high scalar amplitude of the immediate resultant of the vibrational oscillations of both superstrings and their correlative superstringular counterstrings, which are the quantum increments of discrete energy permittivity, upon the kinematic translation of wave-like activity along the Rarita Structure -- upon the correlative Ricci Field, then, this will then tend to be an indication as to the existence of a relatively high scalar amplitude of what would here tend to be the bearings of a discrete operation of a fractal modulus.  Yet, for an orbifold eigenset -- when there is a relatively high scalar amplitude of the immediate resultant of the vibrational oscillations of Schwinger-Indices, which would thereby be more pertinent to the workings of the correlative discrete energy impedance upon the kinematic translation of wave-like activity along the Rarita Structure upon the correlative Ricci Field, then, this will tend to be the bearings of a discrete operation of an elastic modulus.  The denser the activity of a given arbitrary tense of a Majorana-Weyl-Invariant-Mode tends to be -- the higher that the tendency is to that either the fractal modulus and/or the elastic modulus of an orbifold will tend to be, on account of this.  The less dense that the activity of a given arbitrary tense of a Majorana-Weyl-Invariant-Mode tends to be -- the lower that the tendency is to that either the fractal modulus and/or the elastic modulus tends to be.
Later, I will convey as to how both fractal and elastic modulae are formed, at more of a reverse "fractal" of physical phenomenology -- or, in other words, I will later convey as to how both fractal and elastic modulae are formed at more of a "macroscopic" level.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Relativity Versus Noether Current

A mass is a discrete quantum of certain substringular Hodge-based indices, that work to inter-relate a respective given arbitrary quantity of the holonomic substrate of a Ward-Caucy-based condition -- that is of a set of one or more proximal localized cites, that are of the centralized knotting of a set of one or more Rarita Structure eigenstates -- that, when this is coupled with the Fourier-based activity of the force of gravity in general, this works to form that condition that one could call weight.  The increased or decreased thrust of an orbifold eigenset, is directly associated with the respective loosening or tightening of the correlative given arbitrary condition of the here proximal local tense of the Majorana-Weyl-Covariance, that is of the correlative specific substringular cite of such a respective region.  As a mass-bearing orbifold eigenset of discrete energy permittivity is to move, via a general directoral-based Lagrangian path -- through a correlative Hamiltonian operand, the resulting speed in a direction of the here pertinent orbifold eigenset, or, in other words, the resultant sequential series of the so-eluded-to delineation-based kinematic activity of the said orbifold eigenset -- as it is being translated spatially via the directly corresponding respective flow of its effective Noether Current -- will tend to form open-looped fermionic superstrings of discrete plain kinetic energy, in general, to the square of the resultant effect of the delineatory index, that is of the so-stated orbifold eigenset -- in its resultant directoral-based wave-tug/wave-push, that is Yukawa upon the Ricci Scalar, as the mass that is moving, is to bear its effect of its centralized knotting, that is upon the here local and pertinent eigenstates of the Rarita Structure.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

As To The Pull Of The Strong Force

Let us here consider one general eigenstate, as to a relatively localized wave-tug/wave-pull of the strong force -- to where this is comprised of one general Hamiltonian operational-based cite as to where a gluonic-based force is either tugging and/or pulling at, in one specific locus, over a relatively transient duration of time.  A gluonic-based force is to exist at a locus that is working to inter-bind a set of two quarks to one lepton -- in so as to bind the said two quarks to the said lepton, in so as to work at making the composition of one respective given arbitrary proton.  The said proton that is held together in part by the so-stated gluonic force, as usual, is relatively centered from within the general Ward-Neumman physical confines of the nucleus of an atom -- to where one is to have a relatively stable hydrogen atom, since the directly corresponding atom in which the respective said proton is to work to form at here -- is of the nature of having both only one proton and only one electron.  The gluonic-based force that is here directly affiliated with the so-stated proton -- that works to form the said electrically stable atom, is of the nature of a centralized knotting of a Rarita Structure eigenstate, to where this respective said "centralized knotting" of a discrete increment of the Rarita Structure -- of which is of a manner by which the strong force, that is of the nature of binding together some of the essential phenomenology of atomic-based holonomic substrate, is then made to be correlative to the nature of the gravitational force -- by the nature of what is here a direct affiliation of the scalar effect of the Ricci Scalar with that general force that works to inter-bind sub-atomic particles that work at forming the phenomenology that is to construct the composition of atoms.  Let us now say that the said gluonic force -- that is correlative to the composition of the proton that is to here exist at the nucleus of the so-stated given arbitrary atom, is to work at bearing both one specific transversal-based Hamiltonian operation, one specific radial-based Hamiltonian operation, and/or one specific spin-orbital-based Hamiltonian operation, in such a manner to where the directoral-based wave-tug/wave-pull of the so-stated gluonic-based force is to then be of the nature of being intrinsically pushed and pulled as according to the scalar magnitude of the angular-affiliated eigenbase of the resultant force of the so-eluded-to implementation of the fractal of the subatomic angular momentum that would then be directly corresponding to the activity of the so-eluded-to wave-tug/wave-pull of the so-stated gluonic force, that is undergoing the eluded-to push and pull that may be extrapolated at its general Majorana-Weyl-Invariant mode, as an eigenstate of the centralized knotting of the Rarita Structure. Such a so-eluded-to sequential series of Laplacian-based steady-state iterations of subatomic activity -- that are of a relatively tightly knit tense of conformal invariance at a relatively set locus -- is to here be of a non-perturbative tense of Fourier-based translation, -- to where the general effect of such an eigenstate of the strong force, will then work to bear a reiterative set of cyclic permutations that will tend to be kept from within a relatively proximal region that is Poincaire to the general abelian operation of the Fourier-based translation of the respective given arbitrary Ward-Caucy-based region, in which the said proton is to be both codifferentiable and codeterminable at, over the so-eluded-to relatively transient duration of time in which such a tense of conformal invariance is of a non-perturbative nature. This so-stated general tense of directoral-based wave-tug/wave-pull will then work to form the general tendency as to the intrinsic activity of the atom that has been implied here -- by which the activity of the external forces that are to be applied to the Ward-Caucy bounds of the so-eluded-to eigenstates of both the respective gluonic-based force and its respective directly corresponding atom that it works at helping to form, will then have a basis as to how the resultant eigenbase of Fourier-related interaction will then be able to transpire -- from that point in group metrical activity to its ensuing sequential series of physical iterations of group-related instantons, over the so-eluded-to duration of time.

Centralized Knotting

The gluons -- of which work to tie together those subatomic particles that come together in so as to work at forming nucleons, act as a centralized knotting of Schwinger-Indices (of the third order) -- along the Rarita Structre -- in so as to work at pulling together those quarks and leptons that are needed to be physically put together -- in so as to form those nucleons, that tend to act as the primary source of gravity.  The specific Schwinger-Indices that are formed by the respective "plucking" of the individual gauge-bosons that exist along -- in an adjacent manner -- the respective directly corresponding topological surface of the correlative second-order light-cone-gauge-eigenstates, act as the specific vibrational oscillations that are formed from within the Ward-Neumman bounds of the said second-order light-cone-gauge eigenstates, in so as to act as the respective given arbitrary discrete Schwinger-Indices.  The overall resultant vibrational oscillation of any given arbitrary first-order light-cone-gauge eigenstate -- acts as what may be termed of as a first-order Schwinger-Index.  The overall resultant vibrational oscillation of any given arbitrary second-order light-cone-gauge eigenstate - acts as what may be termed of as a second-order Schwinger-Index. So, the actual individually taken vibrational oscillation of any specific "pluck" of a sector of a second-order light-cone-gauge eigenstate -- is a discrete eigenstate of such a general genus of a vibrational oscillation -- of which may be termed of as a third-order Schwinger-Index.  The so-mentioned discrete Schwinger-Indices are pulled -- in a propagation-based manner -- in so as to work to inter-connect the activity of discrete energy with both the activity of gravitons and the activity of gravitinos. This happens in so as to act as that general means, of as to how the Ricci Scalar is put into action -- in so as to cause the general force of gravity to exist upon all substringular phenomenology, over time.  Where the said discrete Schwinger-Indices are pulled into the so-stated centralized knotting -- is that location in which one is able to define the multiplicit locus of the strong force.  Ironically, although the strong force is much stronger than the gravitational force -- the multiplilcit locus as to where the gravitational force is centralized in a very overt knotted manner, is where the gluonic force is of its most dimensional-based compactified manner.  This so-stated centralized knotting, then acts in a particle-based manner -- in so as to then be able to act in a kinematic nature, in so as to move in a Fourier-based manner, as a particle that I have mentioned as the gluon.  The motion of such a centralized inter-twining -- that acts in a kinematic manner, that moves both radially, spin-orbitally, and transversally -- works to form the inter-binding of the nature of as to how the gravitational force (that is much weaker than the strong force) is brought into another genus of a nature, in so as to work at forming that Fourier-based activity -- that would here operate as the functional characteristic of the strong force (that is much stronger than the gravitational force).  This inter-bound nature of the so-mentioned knotted Shwinger-Indices -- acts as the driving force that works to show the relationship between the gravitational force and the strong force.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

As To The Appendageing of Singularities

What I meant by the "appendageing" of singularities, in any given arbitrary case, is the specific mini-stringular norm-state projections -- that work to tie into the multivarious superstrings of discrete energy -- in such a manner in so that the here directly corresponding superstrigular phenomenology is perturbated, in either a harmonic and/or in an annharmonic manner.  This happens in so as to work to bear some form or another of a relatively Laplacian-based topological sway, that would here involve some sort of a fractal of an angular momentum-based wave-tug/wave-pull -- that is contingent to a directorial-based Hamiltonian operation, that may here be integrated with the other of such so-stated "appendages" -- to where the resultant cross between the overall fractal of angular momentum and the overall  fractal of spin-orbital momentum, will here work to help define the Ward-Caucy-based Ricci Scalar eigenbase of the so-eluded-to superstring.  This happens, as the said stringular phenomenology is interdependantly interacting with the correlative Rarita Structure eigenstate -- that is of such a respective given arbitrary case.  Such an interdependant interaction, will here work to help cause the said superstring to bear a discrete relationship to its local eigenbase of homotopic structure -- as the said superstring is moving as a Hamiltonian operator, over time, in the correlative respective lattice or manifold that the so-stated superstring is undergoing its kinematic differentiation in, in lu of the said superstring's directly corresponding Majorana-Weyl-Invariant-Mode, over time.
To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

Part Five of Session 2 of Course 19 -- The Klein Bottle and Orbifold Differentiation

The multiplicit light-cone-gauge -- in general -- is pulled by the kinematic differential activity of that multiplilcit Hamiltonian-based pull, that is functional through that multivarious Lagrangian-based Harmiltonian-based operand, that is then here inherent to the multiplicit directoral-based amplitude of the Ricci Scalar, via that substringular fabric that is of the eigenbase of that holonomic substrate, that may here be called the general configuration of the Rarita Structure.  As orbifolds spin and roll -- over a sequential series of group-related instantons -- the multivarious light-cone-gauge eigenstates that work to comprise the quantum eigenbase of the wave-functionability of discrete energy impedance -- multplicitly work to bear each of their individually taken spin and roll-based metrical indices  This happens in such a manner, to where such a so-eluded-to kinematic-based differential activity of this so-stated spinning and rolling is here to happen, in such a manner that is here of a relatively assymetric genus, when these relative characteristics of spin and roll are here to be extrapolated towards those respective given arbitrary multiplicit indices of gravitational force -- that are then here exhibited by the directly corresponding eigenstates of the here proximally local homotopic eigenbase of the Rarita Structure, in such a manner in so that this may here be thought of alagorically as a set of a multiplicit system of substringular gears, that adjacently bear a countering of relative holomorphic spin and roll indices that are of a Fourier-based nature,  over time.
I will continue with the suspense later!  To Be Continued!  Sincerely Sam Roach.

Part Two of Session Two Of Course 19 -- the Klein Bottle and Orbifold Differentiation

Gravitational force is produced by the motion of the coupling activity that is produced by the kinematic activity of both gravitons and gravitinos, working simultaneously through the vantage point of a central conipoint.  Gravitons are the transversel components of what is utilized, in so as to work to produce the gravitational force -- whereas gravitinos are the spin-orbital components of what is utilized, in so as to work to produce the gravitational force.  The gravitational force happens via the Ricci Scalar, through that multiplicit set of eigenstates that work to form that composition -- that is here known of as the Rarita Structure.  Gravitons are formed by the quantum integration of those sub-atomic particles that are known of as dilatons.  Gravitinos are formed by the quantum integration of those sub-atomic particles that are known of as dilatinos.  Dilatons are formed by the transversel scattering of ghost-based indices -- that are pulled via a certain general genus of a Rayleigh-based scattering, off of the relative Real Reimmanian-based Plane, onto a relatively Njenhuis-based plane -- upon which these come together in so as to work to form gravitons.  Dilatinos are formed by the spin-orbital scattering of ghost-based indices -- that are pulled via a certain general genus of a Rayleigh-based scattering, off of the relative Real Reimmanian-based Plane, onto a relatively Njenhuis-based plane -- upon which these come together in so as to work to form gravitinos.  Gravity is the condition of the gravitational-based force.

Part Seven of Session 15 of Course 18 --- The Ricci Scalar and Kaeler Differentiation

Gravitational pull that is applied to a locus that is proximal to a kinematic-based Majorana-Weyl Invariant-based spot, where a respective given arbitrary  superstring of discrete energy permittivity is iterating at, when such a said string is undergoing a tense of superconformal invariance over a sequential series of instantons -- will tend to move the point commutators that are adjacent to the so-stated superstring of discrete energy permittivity at the Poincaire level, away from so-eluded-to indistinguishabley different kinematic-based Majorana-Weyl Invariant-based proximal locus, over time.  For example:  A superstring is differentiating in a Fourier-based manner in a relatively tightly-bound set locus -- in the process of the so-eluded-to superstring existing here in a tense of superconformal invariance, over a sequential series of iterative-based gauge-metrical activity, over time.  There are here, in this case, initially, a set of point commutators that are relatively near the general set locus as to the proximal neighborhood where the here said superstring of discrete energy permittivity is keeping in a Ward-Caucy bounds with -- at the Poincaire level that is here relative to the extrapolation of a Sterling Approximation as to where the so-stated superstring of discrete energy permittivity is differentiating at, in the so-eluded-to Fourier-based manner, over time.  Next, there is a relative increase in the scalar magnitude of the gravitational-based force, that is applied to the initially so-stated superstring of discrete energy permittivity -- to where the directly corresponding Ricci Scalar is increased in its discrete Hodge-based index of scalar-based magnitude.  This relative increase in the amount of gravitational-based force that is here applied to the Poincaire-based core field of the said superstring, that is here undergoing a tense of superconformal invariance -- will tend to pull at least some of the here adjacent point commutators, in the form of the resultant norm-state projections that would here have been in a static equilibrium with the said superstring, in a Majorana-Weyl-based manner, as the so-stated superstring is moving in a relatively tightly-bound region, out of the here so-eluded-to proximal kinematic-based region or substringualr neighorhood.  As the specific point commutators that are here being pulled out of the Poincaire-based substringular neighborhood of the said superstring of discrete energy permittivity, are being pulled away from the said respective given arbitrary kinematic-based proximal locus, there will here tend to be at least some sort of indistinguishablely different replacement of the general format of the condition of either the genus and/or the Hodge-based quantum of the norm-state projections, that will here work to apply at least some sort of a compansation for the literal loss of the so-stated specific norm-state-projection-based quantifiers, over time.  As well, the Rayleigh-based scattering of cohomological-based indices tends to work --- indirectly -- to work in the process of the reconstruction of the general substringular neighborhoods of Fourier-based differentiating superstrings of discrete energy.  The multiplicit lattice changes in the eigenmatrices of substringular phenomena, often results in the Njenjhuis translocation of those norm-state-projections, that are geometrically at the Poincaire level of the so-eluded-to superstrings of discrete energy -- to where the resultant annharmonically scattered ghost-based indices will then be moved further into the process of the recycling of norm-based indices, over time.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

Scattering of Gliossi-Sherk-Olive Ghosts

When either an f-field, a d-field, or a p-field, is formed -- in a tense of superconformal invariance -- the resulting Calabi-Yau manifolds will then here work to bear a cohomological-based index of a mappable tracing, of which may be thought of here as their respective Gliossi-Sherk-Olive ghosts.  The formation of such respective Gliossi-Sherk-Olive ghosts happens as a Reimman scattering, of which will here work to form an even eigenbase of a chirality of scattered eigenmembers -- as a state of what may be here rendered as a relatively harmonic scattering.  Yet, when one or more photons work to interact with the said respective Calabi-Yau manifolds, the resulting cohomological-based indices will be scattered, via a tense or a genus of a form of a Rayleigh scattering -- this so-stated Rayleigh scattering of which may be thought of as an annharmonic scattering.  The annharmonic scattering of any respective given arbitrary Gliossi-Sherk-Olive ghost-based pattern is formed by the result of an interaction of a directly affiliated ghost-inhibitor with the holonomic substrate of a cohomological-based setting -- this said ghost-inhibitor of which works to act as a group attractor, that works to bring-in relatively reverse-holomorphic norm-state-projections -- to where the initially formed physical memories that are thus formed by the projected trajectory of the here directly corresponding superstrings, that will have here initially moved in any of such respective given arbitrary loci of a respective tense of superconformal invariance, will then be annharmonically scattered out of the so-stated general tense of such a given arbitrary loci of static equilibrium -- in so as to scatter the directly corresponding physical memories of both the motion and the existence of the correlative superstrings.  This happens in such a manner in so that the reverse-chiral adjacent eigenmembers of the here former integrative cohomological indices, will then be brought out of the so-stated initial ghost-based structure -- in so as to these said indices then being brought off of the relative Real Reimmanian Plane, into the relatively Njenhuis Plane.  This so-stated relative Njenhuis Plane, in general, is where the relatively correlative gravitational particles, that work to form a subtension to the correlative superstrings of discrete energy permittivity -- via the activity of the correlative local Rarita Structure eigenstate(s), through the existence of the local Ricci Scalar, are present.  This general inter-relationship between Calabi-Yau manifolds and the Rarita Structure, via both gravitons and gravitinos -- due to the existence of the Ricci Scalar -- is the general format of what is to occur, so that gravity is then here able to act upon superstrings of discrete energy permittivity in a viable way, so that there may be a cohesion among discrete energy, so that energy and thus reality may bear at least some form of direct relationship -- so that there may be any sort of viable energy at all.
To Be Continued!  I will continue with the suspense later!!!  Sam Roach.

About the Transference of Third-Ordered Schwinger Indices

So, how do third-ordered Schwinger Indices become taken out of their directly corresponding respective light-cone-gauge eigenstates -- into the general Ward-Caucy bounds of the directly correlative Rarita Structure eigenstates?  Let me start to explain this here.  Initially, the gauge-bosons of the second-ordered light-cone-gauge eigenstates that work to comprise one unique respective given arbitrary first-ordered light-cone-gauge eigenstate "pluck" the here so-eluded-to second-ordered light-cone-gauge eigenstates, in so as to form the three-hundred third-ordered Schwinger Indices that would here be directly corresponding to the operational Hodge-based interplay of the here mentioned and eluded-to first-ordered light-cone-gauge eigenstate, that works to form the wave-functionability of the discrete energy impedance of one discrete unit of energy in time and space.  During the first six hbar increments of one iteration of group instanton -- of which would here directly correspond to the gauge-metrical activity that happens during one unit of BRST -- the so-stated "plucking" of the second-ordered light-cone-gauge eigenstates works to form third-ordered Shwinger Indices that start to vibrate at their general loci along the topology of the holonomic substrate of the said light-cone-gauge eigenstates.   These just eluded-to vibrational oscillations that work to perturbate the just mentioned eigenstates of the wavefunctionability of discrete energy impedance, immediately upon virtual resonation, are pulled by core-field density -- in a general directoral wave-pull, that is directed outward from the general locus of the here respective Ward-Neumman bounds of the directly correlative first-ordered light-cone-gauge, that is directly associated with the substringular holonomic substrate of discrete energy of the so-eluded-to general locus.  Right at the point that the initial 6 hbar increments of Real Reimmanian-based time of the correlative iteration of the corresponding instanton have elapsed, the so-stated third-ordered Schwinger Indices have reached the relative exterior of the Ward-Neumman bounds of the directly corresponding first-ordered light-cone-gauge-based substringular neighborhood.  This is simultaneous -- as is according to the vantage-point of a central conipoint -- to when the very end of BRST has just come to completion.  This is, as well, simultaneous -- as is according to the same just mentioned vantage point (of a central conipoint) -- to the ending of both the Polyakov Action and the Bette Action of the directly corresponding discrete energy of this case, at the so-mentioned specific locus at hand.  So, for the last (2pi-6) hbar increment of Real-based time, for the so-stated third-ordered Schwinger Indices, these vibrational oscillation-based indices are then made to inact a relatively high projected kinematic-based torsioning upon the surrounding Rarita Structure eigenstates -- over the course of the very ending of the directly corresponding duration of such a case of group-instanton -- in so as to work, per each successive iteration of instanton, at forming a sequential series of interactions of discrete energy upon gravitational-based strings, over time.  This is part of as to why we, as humans, tend to only perceive of the instant that happens right at the ending of BRST.  This works in so as to form that scalar attribute of the Rarita Structure eigenstates upon superstrings of discrete energy -- in the process of working to make what is known of as the Ricci Scalar to take effect, so that  there may be a covariant, codeterminable, and a codifferentiable manner as to the relationship between discrete energy and gravity itself.
To Be Continued!  Sam Roach.

Part One of Session Six of Course 18

Superstrings that are unfrayed always exist in a topological-based setting.  Superstrings of discrete energy permittivity work to emit field-density that exists as a fractal of discrete units of magnetic-based force.  Such superstrings act in groups of such discrete units of energy -- that come together to form a specific given arbitrary operational-based kinematic activity, to where such superstrings of discrete energy permittivity always tend to act as individual Hamiltonian operators that integrate, in so as to form the holonomic substrate that I term of as an orbifold.  One or more orbifolds that function in so as to perform an overall specific operation come together in order to form what I term of as an orbifold eigenset.  All orbifolds work to form one or more fractal-based tenses of magnetic-based force -- the superstrings that work to form any given arbitrary orbifold emit spin-orbital-based indices, that come together in so as to form one overall fractal of discrete magnetic force, in so as to form a here respective given arbitrary wave-pull/wave-tug that is necessary in order for substringular phenomena to be both pulled toward any other physical phenomena, and/or to allow for substringular phenomena to be pullled away from any other physical phenomena, over time.  So, any given arbitrary orbifold eigenset works in so as to form a potentially larger eigenstate of a fractal of magnentism -- since an orbifold eigenset consists of one or more orbifolds.  Such a condition of the here being fractals of magnetic-based force are both effected by the activity of electromagnetic energy, as well as being effected by the activity of gravitational-based force.  Gravity is caused by much of the kinematic activity of the Rarita Structure eigenstates, that are both prominent and viable to any given arbitrary scenario.   This is to where the Ricci Scalar acts in so as to cause any relatively local Rarita Structure eigenstates to behave as these do, over time.  Any reversal in the genus of a magnetic condition will tend to reverse the tendency of the Ante-De-Sitter/De-Sitter-based mode of the directly associated gravitational-based pull -- at any multiplicit-based system of Poincaire-based phenomena -- that are local to the scene of the so-eluded-to reversal in magnetic-based genus.  For instance, if one were to immediately change a tense of magnetism to a tense of reverse-magnetism, this will bear more of a potential of forming antigravity. Such a format of activity will always tend to cause the existence of the directly corresponding Wick Action eigenstates -- in so as to initiate a Gaussian Transformation -- since such a reversal in the fractals of a relatively local magnetic-based drive will work to form an antiholomorphic Kaeler condition.  Enough for now!!!Sam.

Part Three of the Fourth Session of Course 18

The actual holonomic substrate that is composed of kinematically re-twining mini-stringular segments, that work to interconnect one given arbitrary superstring with its directly corresponding superstringular counterpart -- is known of as a Bette Manifold.  As the Polyakov Action that directly corresponds to one given arbitrary superstring, is happening during one iteration of BRST, there is mini-stringular fabric that is fed into the core-field-density, that works to comprise one general eigenstate of a Bette Manifold -- as the correlative so-eluded-to example of a Clifford Expansion happens to the directly associated stringular-based field.  As this happens, the field that works to inter-bind the correlative superstring with its directly associated Fadeev-Popov-Trace eigenstate will here alter, by means of a different genus of a Clifford Expansion -- as the directly corresponding gauge-metric of a Polyakov Action eigenmetric is undergoing its proscribed activity.  As the so-eluded-to duration of BRST happens -- as the Polyakov Action and the Bette Action happen to the so-stated given arbitrary superstring of discrete permittivity at the same tense of gauge-metric -- the general topological stratum of core-field-density that works to form each second-ordered light-cone-gauge eigenstate, that works to form the correlative first-ordered light-cone-gauge eigenstate, increases in its correlative Hodge-Index, in such a manner in so that the activity of the correlative gauge-bosons upon the said second-ordered light-cone-gauge eigenstates forms a recoiling activity -- as the directly associated second-ordered Schwinger Indices are then formed.  These just mentioned Schwinger Indices are vibrational-based oscillations that ripple upon the correlative eigenstates of the holonomic substrate of the Rarita Structure -- that is directly affiliated to the given arbitrary superstring of this given arbitrary case.  The result of such a ripple is the affect that the Ricci Scalar has upon the Calabi Manifold that is associated with the said superstring -- that is discussed in this case.  Depending upon the genus of such a vibrational-based oscillation, the directly affiliated gravity will work upon the holonomic substrate of the said given arbitrary superstring in a certain manner.  If the activity of the so-eluded-to Schwinger Indices does not work to interact upon an eigenbase of an antiholomorphic Kaeler condition, then, there will be no tendency of a Wick Action to be thus formed.  Yet, if such an activity of the so-eluded-to Schwinger Indices, instead, works to interact upon an eigenbase of an antiholomorphic Kaeler condition, then, there will actually be a tendency of a Wick Action to be thus formed.  There is an antiholomorphic Kaeler condition formed when the general directoral pull of a substringular locus is reversed in its supplemental wave-tug, over a relatively transient duration of group metric.  Such a reversal in holomorphic delineation works to form the potential need of either an alteration of Lagrangian-based spatial freedom, and/or the need for a re-attainment of those fractals of discrete energy that are needed in order for energy to remain as energy.  The Wick Action works to initiate a Gaussian Transformation eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

The Third Part of Session One of (18) -- The Ricci Scalar and The Kaeler Metric

Mini-String segments tend to always connect certain multivarious given arbitrary respective superstrings to the multivarious other given arbitrary respective superstrings, when one will here consider the multiplicit substringular arena of superstrings that are unfrayed -- in the process of the consistency of those activities that work to maintain homotopy, per each successive iteration and reiterating of group instanton.  The general exception to the multiplicit maintainance of homotopy is those general set of activities that happen, as the space-hole is undergoing those gradual reorganized recombination of mini-string segments -- that work to allow for the needed alterations of the multiple-bound norm-conditions.  This is needed, in so as to allow for the time-wise progression of Gaussian Transformations.  Those mini-string segments that work to connect the multivarious superstrings of discrete energy permittivity to the general eigen-conditions of the activity of gravitational-based substringular particles, are always inter-bound -- via both the existence and the activity of the multplicitly considered Rarita Structure.  Such an inter-bound basis of interdendant interconnection is primarily Majorana-Weyl invariant, during the integrable time-wise state of each instanton, during any given arbitrary successive series of such group instanton.  Those just stated set of eluded-to Ward-Caucy conditions, works to help determine each individually respective ensuing delineation of the here correlative substringular members.  This so-stated "help" of the multiplicit and multivarious respective Rarita Structure eigenstates works to assist superstrings to obtain the here needed genus of both the positioning and the topological sways of the here directly associated superstrings -- via both the Hodge-Index and the positionings of the other substringular spatial Hamiltonian operators, as well as working to help form the modulii  of the here directly associated Rarita Structure eigenstates.  This is to where such a combination of activities works to allow for the so-eluded-to multiplicit Ward-Caucy-bound Ricci Scalar, to be able to form a multiple set of general modulii -- per general substringular basis, that helps work to cause the Ricci Scalar to bear a certain degree of control over the delineatory conditions of both the related discrete energy permittivity and the related discrete energy impedance.
I will continue with the suspense later!!!To Be Continued!!! Sincerely, Sam Roach.

Part Two of Session One of Course 18

Topological entities are held together by other topological entities -- as well as by the here specificaly mentioned Ricci Scalar eigenstates -- as may be extrapolated by the activity of the directly affiliated Rarita Structure eigenstates.  This happens in the process of forming an abridgement that here exists between superstrings of discrete energy permittivity and their correlative Fadeev-Popov-Trace eigenstates, the latter of which works to form discrete energy impedance -- with those gravitational-based particles such as gravitons and gravitinos, of which act in such a manner in so as to form that general affiliation that works to cause the genus of both scalar delineation and scalar distribution, that acts in so as to be the conditional format as to what the Ricci Scalar is.  Those multiplicit general activities of the respective Ricci Scalar eigenstates, work to form both the multivarious and the multiplicit gravitational-based modulii -- that works to form that basically countless multi-based set of spatial integrands, that work to allow for the existence of both the covariant, codeterminable, and codifferentiable set of inter-relations that need to exist in order for any discrete unit of phenomenon -- namely mass -- to be together-like enough, in so that everything will here then not fly totally apart from one another.  Such a general eigenbase of group covariant potential works to guide the multiplicit conditions of integrable group associations, in such a manner in so as to help to determine the distribution-based particular positionings of the world-tubes of the Ultimon -- when such a guided general eigenbase of group-based affiliation works to operate upon every superstring, to one extent or another, per iteration of group instanton, to some extent or another, throughout both the generally noticed and the generally unnoticed metrical durations that are affiliated with of the activity of Ultimon Flow.

Part Two of the Test Solutions to the Last Test of Course 17 -- the Ricci Scalar

6)  Mass-based superstrings have a Yau-Exact eigenbase of Gliossi-Sherk-Olive cohomological index, in those manifolds of superstrings that appertain directly to the topological existence of bearing mass, over time.  Cohomology-based topological manifolds that are of Yau-Exact nature work to bear a more direct influence upon the relative given arbitrary eigenbase of gravity.  Gravity acts via the existence of the Ricci Scalar -- via the physical presence of the Rarita Structure.  Yau-Exact phenomena bear no viable Chern-Simmons singularities in and of themselves -- when this is considered at the Poincaire level of a Majorana-Weyl invariant setting.  This lack of singularity-based instability works to cause superstringular phenomena that are directly of a mass-bearing genus to be most directly influencing and to be most directly influenced by the Ricci Scalar.

7)  Plain energy bears significant Lagrangian and/or metrical-based Chern-Simmons singularities -- when this is taken along the mappable tracing of its Lagrangian-based path.  This general conditionality of a lack of singularity-based stability, works to cause phenomena of plain energy to bear less of a direct influence upon gravity -- than an equal correlative give arbitrary quanta of mass-bearing energy.  Thus, plain energy is relatively less influenced by the Ricci Scalar than mass.

8)  Light is partially hermitian -- when in consideration of those singularities that are produced by the propagation of the said light.  Such eluded-to Chern-Simmons singularities tend to be of a metrical-based tense.  This works to make light to not be of a Yau-Exact nature.  Thus, light is relatively less influenced by the Ricci Scalar than an equal correlative given arbitrary quanta of directly corresponding mass.

9)  Light is partially perturbative, due to the cyclical pulsation of its correlative mass-bearing photons -- that are propagated off of the relative Real Reimmanian plane, over time.  Singularities of a metrical-based nature, that are produced by the propagation of light, are of such a pulsation to where such phenomenology is guided by the fluctuation of its directly corresponding electric field -- via the nature of its respective given arbitrary wavelength.  A partially hermitian eigenbase of singularity-based nature may be described of as partially perturbative.