Delineation Of Correlative Flow Of Lorentz-Four-Contraction

 The Fourier-Related-Progression of the i*PI(del) Action, is inversely analogous, to the delineation of the corroborative flow, of the respective Lorentz-Four-Contraction. SINCERELY, SAMUEL ROACH. 

A gauge-invariant symplectic cohomology, tends to exhibit a more resolute cochain complex, than an otherwise analogous symplectic cohomology will, if, instead, it were Not to express the general physical characteristic, of being gauge-invariant.  

A completely hermitian super string-related Hamiltonian Operator, heuristically tends to move, in the relative holomorphic direction,  —  which is here to be considered, to be in the relative “i” direction. The coupling of the physical projection,  of the implicit holonomic manifold,  of the stated Hamiltonian Operator, with its eminently respective metric directional delineation, works to form a gauged action, upon the eminent space-time-fabric, that it is to progressively come into contact with.  The multiplicity of the interface, of the implicitly indicated Fourier-Related-Progression, which is of the eminent interaction, that is to occur, between the Fourier-Related-Progression, of the mentioned Hamiltonian Operator, with the zero-point-energy, that it is to be progressively acting upon, — as the said super string-related phenomenology, is to be spatially transferred, from one spot to another, works to form an equal and opposite gauged reaction, that is here to be enacted, in the opposite direction, of the spatial projection, of the stated super string-related Hamiltonian Operator.  This implicit manifold of a gauged reaction, to the coupling,  between the implicit super string-related discrete energy permittivity, with its metric directional gauging, works to facilitate the formation, of what may be thought of as being, the Lagrangian-Based Manifold.  Cohomology-Related super string-related (mem)brands, are the residual phenomenology, of the projected trajectory of super strings, and this is what works to form the physical basis, for the topological stratum,  of cohomology-related eigenstates.  

Let’s initially consider a two spatial dimensional, symplectic Hamiltonian topological manifold.  The just mentioned Hamiltonian topological manifold, is here to eminently have only one directly corroborative hole. Let us now say, that such a stated manifold, is here to be transferred spatially, through an operand of space-time-fabric, that is of at least four spatial dimensions, plus time. As the earlier mentioned symplectic Hamiltonian topological manifold, is here to incur its eminently related Fourier-Related-Progression, through the earlier stated operand, of four or more spatial dimensions plus time, the directly associated Lagrangian-Based manifold, which is the homology-related phenomenology, that is here to be produced, by the projected trajectory, of the physical motion, of the hereupon implicit Hamiltonian Operator; This will tend to result, in consequently working to bear, more than one hole, in the implicit Lagrangian-Related “Brane,” due to the reductional physical condition, of the implicit state, of the additive spatial dimensions, that are here to be latent, in the inherent space-time-fabric, of which the stated Hamiltonian Operator, is here to be traveling through. In reality, the space-time-fabric, that a Ward-Cauchy-Related phenomenology is to be propagated through, will almost inevitably work to eminently involve, the workings of at least four spatial dimensions plus time.  This is part of why, a symplectic homology-related topological manifold, is almost always eminently going to be exemplified as, a cohomology-related topological manifold.  

The more resolute that the cochain complex, that is of the net cohomology-related topological manifold, of a directly related Hamiltonian Operator, is to be, the more likely, that the eminently associated Ward-Cauchy-Related discrete energy impedance, will tend to work to exhibit, the likings, of an abelian geometric gauging.  

When charge and/or entropy is dissipated, this may often tend to work to incur, a tense, of homotopic dispersion.  

The rippling effect, that is incurred by the kinematic motion of Fadeev-Popov-Trace eigenstates, may often tend to propagate along the Rarita Structure, working to form a reductional genus of a vibrational tense, of which may tend to facilitate the formation, of the frequency of the E(8)XE(8) String-Related-Oscillation-Based-Mode.  

When two zero-point-energy eigenstates are to intermingle, in a Gliossis-Based manner, at the Poincare level, this general respective tense, of a physical operation, may often tend to work to incur, an eminently related torsion, in the respective mini-string-related segmentation. 

When a recursively spinning, transversely moving, Kahler Hamiltonian Operator, that is here to be proximal local, to an anti gravitational field, is here, to be physically effected, by the imparted exhibition, of a strong Slater-Based Incursion, this will often tend to mutually work to enhance, both the spin-orbital momentum, and, the angular momentum, that is eminently associated, with the motion, of the said respective Kahler Hamiltonian Operator.  

The quicker that the flow, of the delineation-related sinusoidal pattern, of the net holomorphic-based reverberating eigenstates, that are here to be eminently associated, with the net gauged-action of a Hamiltonian Operator, is to be exhibited as, the stronger that the consequential pulsation, that the frequency of the said Hamiltonian Operator, will resultantly tend to be expressed as. 

The multiplicity of the Fourier-Related-Progression of neutrino-related frequency, helps to facilitate the general kinematic motion of gauge bosons, in so as to work to help encode, for the eminently associated Schwinger-Related oscillations, to be propagated along the Rarita Structure, in so as to work to help incur the multiplicity of the eminently facilitated force, that is here to be encoded, by the respective neutrino-related frequency.  

When the Ricci Flow, that is here to be eminently associated, with the Fourier-Related-Progression, of a directly associated Kahler Hamiltonian Operator, is to work to bear a relatively strong exhibition, of both spur-free kinematic spatial conveyance, And as well, spur-free metric delineated conveyance, as this is here to be taken, in its eminently associated hermitian physical attribute; It may often tend to resultantly follow, that such a general combined tense of inter-related characteristics, will consequently often tend to work to allow, for the implicitly described Lagrangian-Based-Motion, that is here to be of such a given arbitrary case scenario, to thereby consequently tend to spontaneously result, in working to hereupon express, a relatively heightened probability, of exhibiting a relatively enhanced physical tense, of a demonstrably succinct, Fourier-Related-Progression. Furthermore; If the inhibiting factors, that would otherwise tend to work to accrue superfluous impedance, upon the Fourier-Related-Progression, of the eminently associated Lagrangian-Based Motion, that is of such a Kahler Hamiltonian Operator, is here to directly tie in, with the physical condition, of a spontaneous relative lack, of extraneous incurred externalized impedance, that would otherwise be imparted, upon the holonomic discrete composite increments of energy permittivity, that are here to work to help make-up the net energy permittivity, that is of the concurrent motion, of the hereupon stated Kahler Hamiltonian Operator; It will consequently often tend to spontaneously follow, that the implicit team of mass-bearing energy, will often tend to bear a greater permeability, through the eminently associated space-time-fabric, of which it is here to be in the general process, of concurrently propagating through. 

The more resolute that the Fourier-Related-Progression, of a given arbitrary Kahler Hamiltonian Operator, is to be, the stronger that its eminently associated angular momentum, will consequently often tend to be.  

A kinematically transferred, consistently Dolbeault, Hamiltonian Operator, that works to exhibit, a stable Lagrangian-Based tense of motion, will tend to not spontaneously work to exhibit, an eminent tense, of the Kahler-Metric.  

When the Polyakov Action is to be exhibited as being relatively succinct, the eminently associated i*PI(Del) Action, will consequently tend to be spontaneously exhibited here, as well, as being relatively succinct.  

 

Correlative Flow Of Lorentz-Four-Contraction

 The Fourier of the i*PI(del) Action, is inversely analogous, to the corroborative flow, of the respective Lorentz-Four-Contraction. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. 

For super string-related phenomena, that are moving forward in time, the Ricci Flow may often be tantamount, to (-( (the secant of 45 degrees)^2)).  This amounts to “-2.”

Two different and distinct kinetically propagated covariant Kahler Manifolds, that are relativistically diffeomorphic, when in respect to one another, will often tend to work to bear, a relatively heightened tense of Gaussian Symmetry, over the general course of their eminently associated Fourier-Related-Progression.  

Back To Basics: A Lagrangian, is the actual motion of a system of energy. Any Trace that is mappable, may be represented or shown, as a distribution of a motion that has already happened, to where such a said  "trace," may be indicated, as a flat oscillation, that is inter-dependently related, to the eminently associated presence, of two spatial dimensions, as taken along a planar surface ( a surface, with a height and a width, yet no breath (since it is a "trace.")). A Lagrangian-Based-Trace, is the mappable-trace, of the actual motion of a system of energy, that has just moved through a region, to where the mapping of where it had moved, as it went through this region, may be shown by a representation, of how it had oscillated through that region, via the center of its density, to where this mapped-out path-like trace, is here to be shown, as a chord, that works to connect the flow of the bounds of the path, that the implicit eminently associated energy had happened to have taken, over the general course of its spatial delineation; To where the phenomenology of such a general tense of energy, when taken as a "thing" of topological stratum, is here to be directly appertaining, to the holonomic substrate, of such an inferred Hamiltonian Operator. (The actual "stuff" that works to move, in so as to work to form the stated Lagrangian; To where, the stated Hamiltonian Operator, may be perceived of, as being the "stuff," of the overall energy of a given arbitrary system.).

When the i*PI(Del) Action, operates in so as to exhibit, a relatively succinct flow, in the general process, of its kinematically displayed explication, this may often tend to be eminently associated, with a spontaneously smooth change, in its eminently associated Lorentz-Four-Contraction.  

The kinematic behavior of the Higgs Field, as working to form a mass-like phenomenology, may often tend to be facilitated into generative induction, by the net steady-state gauge-action, of the implicit recursively stable proximal local kinetic energy in equilibrium, that is here to tend to be helped into becoming a mass-like phenomenon, via the Higgs-Landau-Gisner Action. 

Recollecting Reductional Gauge-Invariance

 Here are eight factors, that work to determine, as to whether or not a proximal local set of discrete energy quanta, is to be working to exhibit the display, of the physical condition of reductional gauge-invariance:

1) The Lorentz-Four-Contraction, is to be maintained in such a case, at the same scalar magnitude. 

2) Both the innate tense of the correlative net directoral, and/or, the net scalar amplitude of the directly associated angular momentum, is to be maintained.

3) There is to be no viable perturbation, in the spin-orbital momentum, as this is here to be incurred, upon the holonomic transference of the topological manifold, that is here to be smoothly flowing, in a relatively trivial isometric manner, as proximal local to the Fourier spatial translation, by which such an inferred light-cone-gauge eigenstate, is here to be applying a net cohesive tense of a physical restraint upon this. 

4) There is to be no viable perturbation, in the charge and/or in the entropy, that is here to be incurred, upon the directly associated light-cone-gauge eigenstate.

5) There is to be no viable perturbation, in the heat (as heat is here to be considered, as to be directly corresponding to the nature and behavior, of infrared photons), that is here to be incurred, upon the directly associated light-cone-gauge eigenstate.

6) There is here to be no viable perturbation, in the heuristic gravitational force, that is here to be incurred, upon the directly associated light-cone-gauge eigenstate.

7) There is here to be no viable perturbation, in the anti gravitational force, that is here to be incurred, upon the directly associated light-cone-gauge eigenstate.

8) The symmetric gauged motion of the directly associated light-cone-gauge eigenstate, is here to bear a correlative Fourier-Related general spatial translation, that is here to be innately guided, by the general tense, of a Noether-Based flow. 

I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAMUEL.

Hyperbolic Curvature Of Directly Corresponding Second-Order Light-Cone-Gauge Eigenstates

 For one distinct mass-bearing discrete quantum of energy: 

The greater the Polyakov Action -- The Lesser the Lorentz-Four-Contraction -- the more pronounced the hyperbolic curvature, of the directly corresponding second-order light-cone-gauge eigenstates. (As the motion of such a mass-bearing discrete quantum of energy, is to be Decreasing in its relative speed.)

Furthermore:

The lesser the Polyakov Action -- The greater the Lorentz-Four-Contraction -- the less pronounced the hyperbolic curvature, of the directly corresponding second-order light-cone-gauge eigenstates. (As the motion of such a mass-bearing discrete quantum of energy, is to be Increasing in its relative speed.) (SAM).

Light-Cone-Gauge Eigenstates -- Co-Tangential/ Tangential Flow

 The greater that the scalar amplitude of the net co-tangential flow is to be, that is here to be of the nature of incoming mini-string-related segmentation, that is respectively directed Towards the topological manifold of a given arbitrary light-cone-gauge eigenstate, -- the higher that the scalar amplitude of the directly associated Polyakov Action, of such an inferred discrete quantum of energy, will consequently tend to be. (This will consequently tend to result in corresponding to a lowered Lorentz-Four-Contraction). Furthermore; the greater that the scalar amplitude of the net tangential flow is to be, that is here to be of the nature of outgoing mini-string-related segmentation, that is respectively directed Away from the topological manifold of a given arbitrary light-cone-gauge eigenstate, -- the lower that the scalar amplitude of the directly associated Polyakov Action, of such an inferred discrete quantum of energy, will consequently tend to be. (This will consequently tend to result in corresponding to a heightened Lorentz-Four-Contraction). I will continue with the suspense later! Sincerely, SAMUEL DAVID ROACH. 

Regional Swipe Inhabitation

 Let us say that one were to have two different Noether-based mass-bearing super strings of discrete energy permittivity. Over a given arbitrary Laplacian condition, both of such said strings, are to work to bear the same Lorentz-Four-Contraction; as well as that both of such said strings, are also to work to bear the same general tense of a swivel-like contour. However; one of such super strings of discrete energy permittivity, is to have a higher spatial dimensionality than the other one. Due, in part, to the increase in the tensor-related set of attributes, that are here to be directly corresponding, to the manner by which the correlative partition-based discrepancies, that are here to be appertaining to the string that is exhibiting a higher number of spatial dimensions, is to be delineated — this situation will thereby consequently tend to result, in the general physical Ward-Neumann-related condition, by which both of such said strings, will thereby tend to exhibit basically the same scalar magnitude of “regional-swipe-inhabitation” as each other, — over the thus inferred Laplacian-based physical condition, in which both super strings of discrete energy permittivity, are to be compared, in a manner that is both covariant, co-determinable, and co-differentiable, via the “perspective” of a central coni-point, during the same venue of iteration of the inferred group-related instanton. I will continue with the suspense later! (1989). Sincerely, SAM ROACH.

Consistence Of Holomorphic Direction And Transference Of Mass-Bearing Energy

 The more consistently that a given arbitrary Legendre homology, is to be continuously and kinetically propagated through the same tense of a relatively forward-holomorphic direction -- over a viable span of time; in so as to work to transfer, a correlative given arbitrary mass-bearing cohesive set of discrete energy quanta, over a transversal span of space, -- the quicker that such an indicated mass-bearing cohesive set of discrete energy quanta, will consequently tend to be moved along at an external reference-frame, through the fabric of space and time, via the kinematic facilitation of the kinetic tense of the earlier mentioned Legendre homology; which will consequently, as well, work to allow for such an inferred mass-bearing cohesive set of discrete energy quanta, to tend to bear a greater Lorentz-Four-Contraction, And thereby, to tend to also bear a lower Polyakov Action, over the inferred span of time, in which such a greater rate of a velocity, is here to thereby tend to be consequently achieved. To Be Continued! SAMUEL ROACH.

Decrease In Impedance And Acceleration

 When there is to be the general process, -- in which there is to be a continual decrease in the Gliosis-related impedance, that is here to be imparted upon the Lagrangian-based motion of a Noether-based mass-bearing cohesive set of discrete energy quanta, over a correlative period of time (particularly, when one is to consider, in such a general inferred case, that the net direction of the motion of such a "team" of energy, is here to be continually aimed in the same manner of a net directoral-related framework), there will then consequently tend to be, a directly corresponding continual increase in the correlative velocity, of such a said cohesive set of discrete energy quanta. This will consequently tend to work to allow for both an increased Lorentz-Four-Contraction, as well as a decreased Polyakov Action.  This will thereby tend to be directly associated, in this given arbitrary case, to the viable presence in the Ward-Cauchy-related realm, that is of such a respective scenario, a specific exemplification of the eminent proximal local activity of the i*PI(del) Action. I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

The i*PI(del) Action And The Lorentz-Four-Contraction

Whenever two given arbitrary covariant mass-bearing orbifold eigensets, are to bear the same tense of an i*PI(del) Action -- as this is here to be taken over an evenly-gauged Hamiltonian eigenmetric, that is both codifferentiable and codeterminable, -- both of such said orbifold eigensets of such a respective case, will consequently tend to work to bear the same inferred altering tense of a Lorentz-Four-Contraction, over the so implied duration of a sequential series of group-related instantons -- when such a given arbitrary respective case is here to be considered, via the vantage-point of a central coni-point. I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

The Annuli Of Toroidal-Related Cohomology

Mass-Bearing superstrings of discrete energy permittivity, tend to work to bear toroidal-shaped cohomology-related structures.  Such just stated toroidal-shaped cohomology-related structures, are directly associated -- with what may be termed of as being Gliosis-Sherk-Olive ghosts.  Toroidal-Shaped cohomology-related structures, tend to work to bear the proximal local physical presence of annuli -- that are here to be located at a the relative "center" of the stratum of their directly corresponding holonomic substrate.  As such said mass-bearing superstrings are to be moving at a higher rate, these just mentioned annuli, are to tend to shrink in diameter, in proportion to how the scalar magnitude of the directly corresponding Lorentz-Four-Contraction -- that is here to be effectual upon that multiplicit orbifold eigenset, that is here to be comprised of by those implied composite correlative mass-bearing superstrings of discrete energy, that are here to work to bear the attribute of the said multiplicit annulus at each of their relative centers, -- is here to be acting upon the relativistic Ward-Cauchy-related conditions of such an inferred set of discrete energy, that operate to perform one specific given arbitrary function.    So, if the Lorentz-Four-Contraction -- that is here to be acting upon any one given arbitrary orbifold eigenset, is to be of a scalar magnitude of "2," then, the diameter of each of the annuli of those cohomology-related structures, that are of those individually taken superstrings of discrete energy permittivity, that work to comprise such a said eigenset, -- will  consequently tend to be shrunk by a factor or "2," from the diameter that these would have theoretically had, at a relative terrestrial stand still. Sincerely, Samuel David Roach.

Pulsating Orbifold Eigenset At One Spot

Let us initially consider a Noether-based pulsating mass-bearing orbifold eigenset, that is here to be pulsating at a constant rate, even though such a said eigenset, is here to not be moving in a transversal manner --as this whole general process is here to be happening, over an evenly-gauged Hamiltonian eigenmetric.  Such a said eigenset is consequently to be spinning at a constant rate of acceleration (it is here to be accelerating, because, even though it is here to be spinning at a constant speed, since it is constantly to be changing in its direction, it is here to not be exhibiting a constant velocity), to where it is here to consequently bear partition-based discrepancies, that are here to be delineated in a coniaxial-related manner, in a spatial dimensional relationship that is here to be correlative to the conicenter of its overall axis of spin.  Next, let us say that the pulsation of the said orbifold eigenset, is here to increase in its speed, even though the overall axis of the directly corresponding tense of its spin, is here to maintain in its relativistic covariant distribution.  As the speed of the said spinning is here to increase in its covariant rate, the Lorentz-Four-Contraction due to the correlative increase in speed in relationship to light, is thence to increase in its scalar magnitude.  As this is here to happen, the directly corresponding Polyakov Action is thence to decrease in its scalar magnitude.  As this is here to be happening, the i*PI(del) action of such a given arbitary respective case, is consequently to become eminent in its kinematic activity, -- to where the said orbifold eigenset of such a respective case, is then to work to bear superstrings of discrete energy permittivity, that are then to tend to decrease in the number of their directly corresponding partition-based discrepancies, -- at the general proximal locus of the central axial-region, at which the spin that is to work to form the pulsation of the said orbifold eigenset, is here to be eminent in a kinematic manner. Sincerely, Samuel Roach.

The Polyakov Action And Hyperbolic Approach

The slower that the rate is, of any given arbitrary superstring of discrete energy permittivity, when this is here to be taken in its relationship to the motion of electromagnetic energy, the lower that its directly corresponding Lorentz-Four-Contraction will consequently tend to be.  The lower the Lorentz-Four-Contraction is to be, for any given superstring of discrete energy permittivity -- the higher that its directly corresponding Polyakov Action will then tend to be.  The higher that the respective Polyakov Action will tend to be, for any given superstring of discrete energy permittivity -- the greater that the scalar amplitude will tend to be, of the hyperbolic approach of the correlative respective second-order light-cone-gauge eigenstates, that are of the proximal local self-same discrete quantum of energy, -- as such said respective second-order light-cone-gauge eigenstates, are here to work to interconnect the directly corresponding Fadeev-Popov-Trace eigenstate that is of the self-same discrete quantum of energy, To the initially stated superstring of discrete energy permittivity, of such a particular given arbitrary case scenario.  To Be Continued!  Sincerely, Samuel David Roach.

Even Cotangential Flow

When the Lorentz-Four-Contraction is here to be maintained, for any one given arbitrary superstring of discrete energy permittivity -- consequently, -- those first-order point particles that work to comprise such a said string, are here to work to bear just as much of a net hyperbolic cotangential flow of an ebbing of mini-stringular segmentation, that is here to be converging upon it , over any one proscribed evenly-gauged Hamiltonian eigenmetric, over which such a said Lorentz-Four-Contraction is here to be staying at the same scalar amplitude; as there is here to be a net hyperbolic tangential flow of an ebbing of mini-stringular segmentation, that is here to be diverging from it, over any one proscribed evenly-gauged Hamiltonian eigenmetric, over which such a said Lorentz-Four-Contraction is here to be staying at the same scalar amplitude.  To Be Continued! Samuel David Roach.

When The Polyakov Action Is Not Perturbative

Let us initially consider a given arbitrary orbifold eigenset, of which is here to be comprised of by the presence of mass-bearing superstrings of discrete energy permittivity.  The multiplicit Polyakov Action of these composite superstrings, is here to bear a respective tense, that is currently here (over a correlative evenly-gauged Hamiltonian eigenmetric) to not be of a perturbative nature.  During the course of such an inferred correlative sequential series of group-related instantons (which is here to be over the course of the earlier implied evenly-gauged Hamiltonian eigenmetric), the composite superstrings of discrete energy permittivity -- are here to each, when individually taken, to work to bear an iterative tense of the Polyakov Action, that is here to not be in the process of being perturbated.  Since the correlative tense of the Polyakov Action, that is here to be applied to the covariant fluctuation of the topological statum of such implied strings, is here to be maintained in its scalar amplitude, for the effectual import of the correlative conservation of homotopic residue of this particular case, when this is here to be taken in terms of the directly corresponding attribute, by which the correlative Lorentz-Four-Contraction that is here to be applied to the eminent condition of such said strings, is here to currently be maintained, to where this will consequently work to mean, that the relative motion of these said composite strings, when in their relationship to both the presence and the motion of electromagnetic energy, will consequently work to be maintained.  Furthermore -- this will consequently mean, that the directly corresponding i*PI(Del) Action will then, at this point in codifferentiable duration, act, in so as to tend to Not be eminent in its kinematic translation, over the so-eluded-to proscribed duration of time, in which the said respective tense of the Polyakov Action is here to Not be in the process of altering for these said superstrings of discrete energy permittivity, that are here to work to comprise the earlier mentioned orbifold eigenset of such a given arbitrary case.  To Be Continued!  Sincerely, Samuel David Roach.

Hyperbolic Convergence And The Polyakov Action

The lower the Lorentz-Four-Contraction, the greater the Polyakov Action.  The greater the Polyakov Action, the more hyperbolic the convergent approach that is here to exist -- between any one given arbitrary Fadeev-Popov-Trace eigenstate, and its directly corresponding given arbitrary respective superstring of discrete energy permittivity, -- over the course of any respective correlative iteration of BRST.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Superstrings Of Discrete Energy Permittivity That Are Of One Specific Orbifold Eigenset

Over the course of any one specific given arbitrary iteration of BRST, when after the Polyakov Action -- all of the superstrings of discrete energy permittivity, that work to comprise any one specific given arbitrary orbifold eigenset, -- are to both bear the same number of spatial dimensions, bear the same general shape, bear the same scalar amplitude of Lorentz-Four-Contraction, bear the same number of partition-based discrepancies, as well as each of such inferred strings of discrete energy permittivity, to here be in the process of working to bear both the same general delineation-related spacing of their respective partition-based discrepancies, and the same tendency as to the proximity of such said respective given arbitrary partition-based discrepancies.Samuel David Roach.

The Polyakov Action And The i*PI(del) Action

For Ward-Cauchy-related phenomenology, that is here to be of a Noether Flow; -- The Lower the Polyakov Action, the Greater the Lorentz-Four-Contraction is here to be, as to any one respective given arbitrary mass-bearing orbifold eigenset.  The Greater the respective Lorentz-Four-Contraction is for such a given arbitrary orbifold eigenset, the less partition-based discrepancies that those individually taken superstrings of discrete energy permittivity, that work to comprise such an inferred set of discrete energy, will consequently tend to have. The less partition-based discrepancies that those individually taken superstrings of discrete energy permittivity, that work to comprise the said inferred set of discrete energy will then consequently have -- the more mass-bearing superstrings that the earlier mentioned respective given arbitrary orbifold eigenset will consequently tend to have.  This is on account of the condition, that mass-bearing superstrings of discrete energy permittivity that are of a Noether-based flow tend to be Yau-Exact.  Such Yau-Exact superstring are to generate as much cohomology as these are here to degenerate, in a relatively piecewise continuous manner, over an evenly-gauged Hamiltonian eigenmetric.  In order to be Yau-Exact, a superstring is here to be forced into a situation -- to where the faster that these are to travel in relationship to light -- the faster that the earlier mentioned piecewise continuous manner of such a process, in which just as much cohomology is to be generated as is here to be degenerated, is then to cycle into effect.  The faster that such a general cyclical process is to occur, the less partition-based discrepancies that such individually taken said strings are then to have.  Yet, in order for homotopic residue to be conserved -- the overall number of partition-based discrepancies in a mass-bearing orbifold eigneset is to be maintained.  This  works to help to cause the Relativistic condition -- that, as a mass-bearing orbifold eigenset is to approach the speed of light, it is to work to bear a higher mass.  Furthermore, as the Polyakov Action is decreased (which is as the Lorentz-Four-Contraction is to increase), the superstring is to not only to bear less partition-based discrepancies, yet, it is to be contracted in a manner, that is here to bear a tense of a euclidean proportionality, with the change in the respective number of partition-based discrepancies that are present in these superstrings of discrete energy permittivity, that work to comprise such a said orbifold eigenset.  This general activity, as to the change in the number of partition-based discrepancies, is what I call -- the i*PI(del) Action.To Be Continued!  Sincerely, Samuel David Roach.

The i*PI(del) Action And Relative Change In Motion

Let's initially consider a mass-bearing orbifold eigenset.  When such an orbifold eigenset is to change in its motion in relationship to electromagnetic energy, -- the respective orbifold eigenset will consequently alter in its correlative Lorentz-Four-Contraction.  When this orbifold eigenset is to alter in its correlative Lorentz-Four-Contraction, such a said respective eigenset will consequently work to bear an eminent activity in its directly corresponding i*PI(del) action.  When the course of the directly corresponding i*PI(del) action of the respective orbifold eigenset is to become eminent, then, the regional exhibition -- as to the manner by which the homotopic residue is here to be conserved, at the proximal local Ward-Cauchy-related region in which the said eigenset is here to be altering in its motion, when relative to electromagnetic energy, will consequently alter here.  Sam Roach.

Partition-Based Discrepancies And Relative Length

The faster that the speed of a mass-bearing orbifold eigenset is, when this is taken in relationship to the motion of electromagnetic energy, -- the less partition-based discrepancies that those individually taken superstrings, that work to comprise such a said respective given arbitrary orbifold eigenset, will tend to be exhibited in the process.  (This is in the process of an increased Lorentz-Four-Contraction.)  The less partition-based discrepancies that are thence to be exhibited, by those superstrings that work to comprise any one given arbitrary orbifold eigenset, over time, -- the less mini-stringular segmentation that will thence tend to be fed-into the Ward-Neumman bounds, of the eminent light-cone-gauge-related field, that is of such a set of so-inferred superstrings, over time.  The less mini-stringular segmentation that is thence to tend to be fed-into the Ward-Neumman bounds, of the eminent light-cone-gauge-related field, that is of those superstrings that work to comprise any one respective said given arbitrary orbifold eigenset, over time, (which is over the course of an increased Lorentz-Four-Contraction) -- the lower the scalar amplitude of the directly corresponding Polyakov Action will then tend to be.  The lower that the scalar amplitude of the directly corresponding Polyakov Action will tend to be, -- the shorter that the relative length of the correlative length of such a set of related superstrings will then tend to appear as -- as would be apparent to a terrestrial observer, that would here be at a relative standstill.  The shorter that the relative terrestrial length of those superstrings, that work to comprise any one given arbitrary orbifold eigenset, will appear to be to an observer that is standing still, -- the smaller that the directly corresponding length that such a said respective orbifold eigenset, will then tend to appear to have.
To Be Continued!  Sincerely, Sam Roach.

Some More Information As To Metric-Related Chern-Simons Singularities

Let us initially consider a distinct given arbitrary superstring, that is perturbating over a set metric-based sequential series of instantons -- when in terms of the varying scalar amplitude of its directly corresponding Lorentz-Four-Contraction, that is acting in a Gliosis-based manner, which is here to be at the Poincare level to the topological surface of the holonomic  substrate, that is of the so-stated superstring (of discrete energy permittivity), over time.  Let us next consider, that the said superstring of discrete energy permittivity, is to be differentiating in a Fourier-based manner -- through a given Hamiltonian operand, that is to here to be spanning the space by which this so-eluded-to superstring of Hamiltonian-based operation is to be tugged, while doing so in a kinematic manner, through the set path that is correlative to its directly corresponding discrete Lagrangian, that the so-stated eigenstate of discrete energy per charge is here to be in the process of being moved into -- over the said sequential series of iteration of group-related instanton.  Let us next say that this tense, of the directly appertaining perturbation of the correlative Lorentz-Four-Contraction, that is being directly applied to the Polyakov-based mechanism in a kinematic manner -- whereby the so-stated discrete quantum of energy permittivity is to be of a harmonic-based cyclical manner -- that would here work to form an even tense of a gradual increase in the directly applicable scalar amplitude of the quantum effect, to where this will then involve an increase as to what the linear-based scalar amplitude in velocity that is of a unitary motion, of which is here to be taken in the transversal direction -- is then to effect the gradual increase in the degree as to the amount of a Lorentz-Four-Contraction that is here to be displayed, is then to take-hold upon the so-eluded-to gradual decrease in the scalar amplitude of the directly associated degree of its Polyakov-based action, in which this is to happen over a discrete number of a successive series of group-related instantons, -- to where this self-same superstring of discrete energy permittivity that is of such a case, is to then work to bear an even tense of a gradual decrease in the directly applicable scalar amplitude of the quantum effect, as to how the linear-based decrease in velocity in a unitary transversal motion in a direction, is to effect a gradual decrease in the degree of the amount of a Lorentz-Four-Contraction -- is then to take-hold upon the gradual increase in the scalar amplitude of the directly associated degree of its Polyakov-based action -- is to then happen, over a discrete evenly-gauged Hamiltonian eigenmetric that is of a successive series of group-related instantons.  Such a gradual and even fluctuation of motion, that is of the process by which an initial acceleration -- that is of a linearly-transversal-based tug, that is here to be formed by a superstring -- through the kinematic activity of a discrete unitary Lagrangian, will then tend to form a higher probability, -- as to here to be consequently of such a nature as to be potentially forming hermitian Lagrangian-based singularities -- even though this so-eluded-to acceleration of a superstring, that is here in this case to then to be cyclical in its eventual process of deceleration -- will thence form changes in the metric-related pulsation of the directly associated superstring in question, - to where this cyclical genus of a process, will then tend to consistently work to form metric-based Chern-Simons singularities over time.
I will conitnue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.