Photons Scattering And Entropy

The general genus of a Rayleigh scattering, is a genus of scattering -- in which the resultant adjacent eigenindices that had just been scattered, are to then work to bear an odd chirality.  When light is scattered out of order, the general genus of scattering that is to here occur, is of a Rayleigh scattering. Any electromagnetic energy that has just been annharmonically scattered, is to bear a resultant set of eigenstates -- to where the adjacent eigenindices of such eigenstates, are to work to bear an odd chirality.  It is this general genus of the annharmonic scattering of light or electromagnetic energy -- that is one of the main facets, by which the entropy of the multiverse is to thence be caused by.  Therefore, it is the Rayleigh scattering of light -- that is one of the main "things," of which is to here, to work at helping form the Ward-Caucy-based entropy of the multiverse.

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

Electrons And Spatial Dimensions

Let us here, consider the motion of a given arbitrary mass-bearing superstring of discrete energy permittivity -- that is of an electron.  The individually taken mass-bearing superstrings of an electron, exist in what may be termed of as a d-field.  A d-field, over any respective given arbitrary Fourier Transformation, exists in a minimum of six spatial dimensions, plus time.  The mass-bearing superstrings of an electron tend to be Yau-Exact, to where such individually taken superstrings of discrete energy permittivity, are to here be an eigenstate of a Calabi-Yau manifold.  Over the course of any respective given arbitrary iteration of BRST, that involves the individually taken mass-bearing superstring of an electron, the drive of the angular momentum of the topological stratum of the holonomic substrate of such eigenstates of a Calabi-Yau manifold, are to here be of the general genus of the directorial-based Hamiltonian operand, -- of what amounts to as being of the mean Lagrangian path, that may be subtended from being basically right in-between the direction that is in the path in which the correlative annulus of that superstring's core-field-density is pointing in, &, the direction that the topological substrate of the external fringes of the core-field-density of the said superstring is pointing in.  This general genus of the motion of a mass-bearing superstring, along such a so-stated mean Lagrangian path, works to help at forming a harmonic tendency of a homotopic-based torsion, of which is to here help at working to help cause the respective torsional eigenindices of such a general genus of discrete energy permittivity, to tend to bear a hermitian wave-tug, that is again, of a Yau-Exact nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Nucleons And Spatial Dimensions

The individually taken mass-bearing superstrings of discrete energy permittivity, that work to make-up the nucleons of an atom -- tend to exist in what may be termed of as f-fields.  F-Fields exist in a minimum of four spatial dimensions plus time.  The holomorphic direction of such mass-bearing superstrings,  tends to be in the direction of the topological stratum of the external fringes of the core-field-density of those individually taken superstrings, that work in so as to help comprise the eigenstates of an f-field.  This would then work to help indicate, part of the condition as to why, orbifolds that are comprised of f-fields tend to exist in Fourier Transforms that work to include less spatial dimensions than either a neutrino, a photon, or an electron.  Since this would, as well, work to elude to the condition -- that the mass-bearing superstrings of discrete energy permittivity, that work to comprise a nucleon, act in so as to tend to move in the general direction of their width, -- then, this works to elude to the condition, when it comes to the correlative Fourier-Transforms that operate as is according to a Noether-based flow,  that the motion of the internal reference-frame of a nucleon will tend to be less aerodynamic than the motion of the internal reference-frame of a photon, over time.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Photons And Spatial Dimensions

A photon exists in a general Ward-Caucy-based field, that may be considered to be what is known of as a p-field.  A p-field is a Ward-Caucy-based field, that exists in a minimum of ten spatial dimensions plus time -- over the course of any successive set of two or more consecutive iterations of group-related instanton.  Part of as to why a photon exists in such a "p-field," is because, during the course of any individually taken iteration of BRST, in which an individual superstring that is to here act as a photon, this process will happen to where the said superstring will then work to bear its angular momentum in the general direction of its anuulus.  This may be reverse-fractaled-out to the Ward-Caucy condition, that any orbifold eigenset, that is to here work to involve one or more quantized photons, during such a said iteration of BRST, -- is to tend to bear its angular momentum in the general direction of its anuulus.  Yet, when you think about it, this will then work to mean that photons are to then move in a relatively acute manner, that is to then be significantly more "aerodynamic," in a substringular-based manner, than another comparable discrete quantum of energy, that is to instead to work to bear the holomorphic direction of its angular momentum, in the general direction of the topological stratum of the fringe of its external core-field-density.  This would then help at working to explain, a little as to both the why and the how, that light always tends to act in as straight of a line as is feasible, -- when this is given the considerations as to the medium that such light is moving through, as well as when this takes into consideration the innate and proximal localized bending of space-time-fabric over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To Holomorphic Direction And Spatial Dimensional Parameters

If any one given arbitrary respective discrete quantum of energy, is to bear an angular momentum in the general direction of the  anuulus of its directly corresponding bosonic superstring of discrete energy permittivity, during its correlative iteration of BRST, -- then, it is more likely to be tugged into more spatial dimensions, than another relatively equivalent respective given arbitrary discrete quantum of energy, in which its directly corresponding bosonic superstring of discrete energy permittiivity, is to instead, to bear an angular momentum, that is in the general direction of the topological fringe of the external topological substrate of its core-field-density.  This is due to the manner by which the said bosonic supertrings of discrete energy permittivity, are to ensue in so as to  move upon the eminent norm-state-projections, that are to tend to be in the way of their Lagrangian-based path, as any of such individually taken superstrings are to be brought, in a kinematic manner, into the Ward-Caucy bounds of such projections, over the course of the correlative eigenmetric of the Regge Action, that is to happen after the so-eluded-to general iteration of each individually taken increment of BRST.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

As To Dissipated Kinetic Energy

Kinetic energy that is dissipated, tends to be converted into one of the following "things," as long as it is not frayed.:  This said kinetic energy tends to either be converted into:  Electromagnetic energy, via the Fujikawa Coupling, as is according to the Green Function;  or, it is converted into a mass-bearing superstring of discrete energy permittivity; or, it will make an indistinguishabley different perturbation in its reference frame of Hamiltonian operation; or else it will tend to be recycled in its Ward-Caucy-based conditions, into a certain Hodge-based holonomic substrate -- that is of a given arbitrary scalar amplitude of norm-state-projection(s).  I will continue with the suspense later! To Be Continued!  Sincerely, Sam Roach.

As To Neutrinos And Direction Of Motion

Neutrinos tend to oscillate, in an isotropic manner, over the course of the correlative Regge Action -- in such a way, that works to cycle between the Fourier-based translation of oscillating in the direction of its homotopic annulus, into then oscillating in the direction of its homotopic edge.  This is part of the reason, as to why neutrinos tend to move in a minimum of 12 spatial dimensions plus time.  This is one given arbitrary example of the behavior of a mass-bearing superstring, and, mass-bearing superstrings tend to bear a Calabi-Yau manifold.  The orbifolds of neutrinos, that iterate over the course of BRST, behave in such a way, to where their angular momentum tend to be in the direction of their annulus.   Over the course of such an individually taken iteration of BRST, the edges of the external topological substrate of each correlative component superstring of a neutrino, is to then "spraw" in such a manner -- to where, via the dual action of the given arbitrary manner of the Bette Action and the Polyakov Action of such an arbitrary case, will happen, to where the core-field-density of such a field is to then to work to "attempt" to start to change into a Calabi-Yau manifold.  This is part of why neutrinos tend to move as a set of superstrings, that each act as interdependent eigenstates of a Calabi-Yau manifold.  If a neutrino is not at those set of iterations of instanton, in which its component superstrings of discrete energy permittivity would otherwise be Gliosis to the Kahler-Metric, then, the so-eluded-to component superstrings of discrete energy permittivity will tend to then form their correlative Calabi-Yau fields, during the correlative ensuing Regge Action eigenstate. I will continue with the suspense later!  To Be Continued!  Sam Roach.

As To The Gravity And The Fischler-Suskind-Mechanism

The more tightly-knit that the Majorana-Weyl-Invariant-Mode is, of the proximal localized Kahler-Metric eigenstates -- that are Yukawa to the directly associated discrete energy quanta, that are Gliosis to the directly corresponding Klein Bottle eigenstates, that are pushed invertly via the Fischler-Suskind-Mechanism -- by the directly corresponding Higgs Boson eigenstates (that are shaped like what may here be termed of as "isoelliptabelianoid" eigenstates), -- the more that such a said proximal locus is to then here, to be associated with the directly corresponding Rarita Structure eigenstates.  This would then work to make such a so-stated proximal locus to then bear a higher scalar amplitude of gravity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To The Kahler-Metric And The Polyakov Action

In any given arbitrary case -- the tendency is, to where, given that there is the same scalar amplitude or the same scalar magnitude of the Polyakov Action for one bosonic superstring of discrete energy permittivity, when taken versus another of such individually taken bosonic superstrings of discrete energy permittivity -- the condition exists, to where the more that the Kahler-Metric is Yukawa to any of such a said respective given arbitrary superstring, -- the more that the tendency is, to where there is to then be more of a scalar amplitude of mini-stringular segmentation, that is to be thus fed into the proximal locus of the field of such a so-stated respective superstring, over the course of any single respective given arbitrary iteration of BRST, in which such dual Ward-Caucy conditions are to be thus compared.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Schwinger-Indices And Gauge-Bosons

During any one respective given arbitrary iteration of BRST, -- the more that a gauge-boson is to slide across the topological stratum of a correlative second-order light-cone-gauge eigenstate, instead of such a given arbitrary respective gauge-boson to act in so as to twitch upon the said second-order light-cone-gauge eigenstate of such a case -- the more that the resultant Schwinger-Index that is to then be formed as a tense of being a gravity wave, will then tend to work to bear a relatively higher period and a lower frequency -- than another Schwinger-Index that acts as a gravity wave, that is to instead to twitch upon such a said light-cone-gauge eigenstate to more of a scalar amplitude than it is to slide across such a second-order light-cone-gauge eigenstate.  Furthermore, -- the more that a gauge-boson is to twitch upon the topological substrate of any said given arbitrary second-order light-cone-gauge eigenstate, instead of such a given arbitrary respective gauge-boson to act in so as to slide across the said second-order light-cone-gauge eigenstate -- the more that the resultant Schwinger-Index that is to then be formed as a tense of being a gravity wave, will then tend to bear a relatively higher frequency and a lower period -- than another Schwinger-Index that acts as a gravity wave, that is to instead to slide across the topological stratum of a such a correlative eigenstate to more of a scalar amplitude than it is to twitch upon such a respective eigenstate.  The higher that the scalar amplitude of the correlative Polyakov Action eigenstate is -- the more that the correlative gauge-bosons will tend to bear a higher scalar amplitude of tending to slide upon the topological stratum of the correlative light-cone-gauge eigenstate.  Furthermore -- the lower that the scalar amplitude of the correlative Polyakov Action eigenstate is -- the more that the correlative gauge-bosons will tend to bear a higher scalar amplitude of tending to twitch upon the said topological stratum instead of sliding upon it, -- during the course of any respective given arbitrary iteration of one duration of BRST.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two Of Schwinger-Indices And De-Broglie Waves

Let us initially consider one given arbitrary superstring, that works to bear a maximized Lorentz-Four-Contraction, over the course of one respective iteration of BRST -- which will here, work to help cause the directly corresponding effectual Polyakov Action eigenstate of such a case, to then be minimized.  This will then work to help cause there to be a relatively minimal scalar amplitude of mini-stringular segmentation, to be fed into the correlative second-order light-cone-gauge eigenstates of such a case, -- during the respective given arbitrary Ward-Caucy-based condition of the here correlative iteration of BRST.  This will then work to cause there to be the condition of those consequently formed correlative Schwinger-Indices, that are thence formed, to bear a relatively small period, along with these to then work to bear a relatively large frequency.  This makes sense, due to the condition -- that when any respective object that has mass, is to be moving at just under light-speed, -- the object of such a given arbitrary respective case, will both notice relatively little time go by, as well as the said object of such a given arbitrary respective case, to here bear a higher tense of tending to bear a certain scalar amplitude of De-Broglie wave-based characteristics -- over the duration in which such a said object is to then be traveling at just under light speed.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Schwinger-Indices And De-Broglie Waves

The greater that the level is, of the scalar amplitude of the correlative Polyakov Action eigenstate upon a discrete quantum of energy -- the greater that the level is, that the scalar amplitude will tend to be -- of the augmentation of the period of the here resultant Schwinger-Indices, that are to thence be formed by the "plucking" activity of the correlative gauge-bosons, upon the directly corresponding second-order light-cone-gauge eigenstates.  Under the same genus of a case -- the greater that the level of the scalar amplitude will tend to be of the Polyakov Action eigenstate, the situation will be to where the frequency of the here resultant Schwinger-Indices, that are to as well thence be formed by the same "plucking" activity of the correlative gauge-bosons upon the second-order light-cone-gauge eigenstates, will be of a relatively small scalar amplitude.  This will thereby mean, that the slower that the terrestrial-based rate will be, of the velocity of an object, that is to here be moving in relationship to both the existence and the motion of light -- the more time that will appear to exist in its correlative reference frame, -- as is according to its special case of relativity.  And, this same relatively slow-moving terrestrial-based phenomenon, will thereby tend to work to bear a slower holonomic substrate-based frequency, and this relatively static object that is moving in this general case -- with a relatively small velocity, will as well tend to bear a relatively neglegiable  tense of acting as a De-Broglie-wave, and/or a relatively neglegiable tense of acting as a set of De-Broglie waves.Sam Roach.

The Light-Cone-Gauge And Space-Time-Fabric

Let us initially consider an individually taken bosonic superstring of discrete energy permittivity -- as it is undergoing the Polyakov Action, over the course of one given arbitrary respective iteration of BRST.  Let us next consider that there is to here be a Lorentz-Four-Contraction, that is Yukawa to the said respective individually taken discrete quantum of energy, that is of zero effectual direct physical parametric compactification of spatial proportionality, -- which would here mean that the correlative Polyakov Action, that is respective to this given arbitrary case, is to be maximized here, which means that the scalar amplitude of the level of the directly pertinent correlative decompactification of the length of the directly corresponding superstring, is to be decompactified in this case by a factor of 3*10^8.  Let us now consider that this is to be, during the directly corresponding iteration of the Polyakov Action eigenstate of this particular case, during its correlative iteration of BRST, a hyperbollic-related taken Clifford Expansion of the correlative second-order light-cone-gauge eigenstates -- that are to here work to comprise the overall light-cone-gauge of the directly pertinent superstring of discrete energy quantum of this case, that will work here in so as to help involve an euler-based feeding-in of mini-stringular segmentation into the core-field-density of the directly affiliated discrete quantum of energy, in so as to work to allow for the here needed expansion of the core-field eigenindices, that are to be decompactified during the said iteration of BRST, -- so that the mechanism of special relativity may be able to be made Yukawa upon the so-stated discrete increment of energy, in a directly viable manner.  As the mini-stringular segmentation is being fed-into the core-field-density of the interactive holonomic substrate of the said light-cone-gauge eigenstate -- that is to here be temporarily expanded in a hyperbollic manner, the correlative gauge-bosons that are to "pluck" the correlative set of second-order light-cone-gauge eigenstates, in so as to help in the formation of gravity waves, are to both slide and twitch upon the topological stratum of the Gliosis-based field of the here decopactified kinematic-based holonomic substrate of the euler-related iterative manifold of the wave-functionability of the discrete energy impedance of the correlative discrete energy quantum.  As the said gauge-bosons, act in so as to both twitch and slide upon such eigenstates of a Gliosis-based topological stratum in a multi-parametric-based manner, this tightly-knit Fourier translation, that is as a gauge-metric from within one iteration of instanton, will then act in so as to then help in the formation of wave-modulae, that are transferred as a kinematic wave translation, that works to flow across the Rarita Structure as Schwinger-Indices -- that are to thence act as the holonomic substrate of gravity waves.  As such gravity waves interact interdependently, such  motion works to form that multiplicit tense of a wave modulus -- that acts as that general reverberation, that helps to act as the underlying presence of the fabric of space parameterization, which is here to be interactive over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Four Of Light-Cone-Gauge Quantization And Gravity

When a Rham-based cohomology is to work to bear the spontaneous Ward-Caucy-based conditions of any respective given arbitrary case of perturbation, via an antiholomorphic Kahler condition, then, thereupon as to the respective and viable alteration in the initial relative holomorphic direction of the correlative cohomological flow of those eigenindices -- that had just worked to form the initial mappable-tracing of the discrete physical memory of the trajectory, of what would here be the proximal local immediate effect of the motion of the so-eluded-to Fourier differentiable orbifold eigenset, that was initially of the kinematic transference of a Rham-based cohomology, is to now be of the kinematic transference of a Doubolt-based cohomology.  Now, if the directly corresponding gravitational field that is Yukawa to the holomorphic flow of an initially Rham cohomology, is to bear an isomorphic core-field-density from right before the so-eluded-to Lagrangian-based Chern-Simons singularity had happened, that had helped to work to reverse what was here to be the relative forward-holomorphic direction, -- to right after the just mentoined genus of perturbation that had happened to the propagation of the Lagrangian-based eigenindices, that were involved with the respective initial Rham-based cohomology that had then transformed into a Doubolt cohomology, then, those gravitational-based eigenindices -- that had acted as the respective Schwinger-Indices that had acted as the respective gravity waves, will as well, tend to bear at least some sort of alteration in the Lagrangian-based propagation of the quantific wave-modulae, that is to here be directly related to a perturbation in the directoral-based translation of the cohomological-based mappable-tracing of the correlative Rarita Structure-based eigenstates, that are to here be proximal local to the cite of the here rebounding metrical-gauge-based Hamiltonian operator, that had been in the form of an orbifold eigenset that had basically made a reversal in the general direction of the flow of its correlative Hamiltonian operand.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Three Of Light-Cone-Gauge Quantization And Gravity

Let us initially consider a set of orbifold eigensets -- that go from having a steady-state gravitational force, that is to here be correlative between them -- in a manner that is both covariant, codifferentiable, and codeterminable among them, to then going into what entails of as subsequently having an anharmonic gravitational force, that is to here be correlative between them in a manner that is both covariant, codifferentiable, and codeterminable among them, to then going back into having a relatively steady-state gravitational force that is of the so-eluded-to relatively tightly-knit tense of a Majorana-Weyl-Invariant-Mode.  This will consequently be of a tense, of what would initially work to form as a Reimman-based scattering, that is later to be anharmonically perturbated into a Rayleigh-based scattering, that is to then later be harmonically perturbated back into a tense of a Reimman-based scattering.  Let us next consider, that the region that is to be proximal localized to the general spot, where such a basic sequential series of gravitational perturbation is to occur, is of the same internally covariant, codeterminable, and codifferentiable reference frame.  This will then tend to mean, that the adjacent eigenindices, that are to here to have been scattered -- via the so-eluded-to basic sequential series of gravitational-based perturbative translation, will go from bearing what will in reality be of an indistinguishably different state of a set of eigenstates, that will go from bearing a multiplicit proximal localized chirality -- that is made to be relatively homogeneous in an even manner, to then subsequently bearing a multiplicit proximal localized chirality -- that is made to be relatively homogeneous in an odd manner, to then subsequently bearing a multiplicity proximal localized chirality -- that is made to be relatively homogeneous in an even manner, and so on, -- via the so-eluded-to sequential series that I had earlier implied of as happening.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two Of Light-Cone-Gauge Quantization And Gravity

Let us initially consider one given arbitrary orbifold eigenset.  Let us now consider more specifically, the basically wave-based functional Hamiltonian operator, that is of the discrete energy impedance, that is to here work to help in the formation of the discrete quantum of the wave-based energy impedance of the said orbifold eigenset -- of which is to here be the physical overall light-cone-gauge eigenstate of the so-stated orbifold eigenset, as a whole.  let us now say, that there are to here be a relatively small set of such orbifold eigensets -- of which are to here work to bear a quantized metrical-gauge-based Hamiltonian operation of light-cone-gauge eigenstates.  Let us next consider, that such a set of the so-eluded-to Ward-Caucy-based conditions, will work to tend to help allow for a relatively quantized set of Schwinger-Indices, -- of which are to here act as a relatively quantized set of gravity waves.  Let us next consider, that such a quantized tense of gravity waves, will here work to form an initially steady-state tense of a conformally invariant gravitational field -- as is appertaining to the general Ward-Caucy set of conditions that I had basically mentioned in the last post.  Now -- what if there was to be a Cevita-based metrical-gauge-based Hamiltonian operator, that was to act as a general ghost-based inhibitor -- that was to here bear a Yukawa-related wave-tug, upon the cohomological-based mappable-tracing of the topological stratum of the world-sheet-related holonomic substrate, that is of the inter-play of the said relatively small set of orbifold eigensets, that are to here to be of a relatively eigen nature to the so-stated Hamiltonian operation of the given correlative steady-state-based proximal Fourier-related locus, by which the relatively limited Hodge-Index of the relevant sets of discrete energy quantum of this case, are to here be initially of a gravitational mode -- that is of a relatively tight tense of a Majorana-Weyl-Invariant-Mode?  If such a kinematic-based presence, that is of such a ghost-based-inhibitor -- were to be of an effectual Yukawa-based nature to the so-eluded-to initial set of a relatively limited Hodge-Index of orbifold eigensets, over a sequential series of group-related instantons, by such a so-stated inhibitor, is to here be of a Gaussian-based nature to the sequential gauge-metrical Hamiltonian operator, that is of the translation of the correlative cohomological mappable-tracing -- then, in this physical case, this situation will tend to help to form a Rayleigh scattering of the proximal local gravitational force, that was initially of a steady-state nature, -- which will thereby act in so as to scatter, in an anharmonic manner, the so-eluded-to gravitational force, that was initially under a tense of conformal invariance.  Such a resultant anharmonic scattering, will cause the correlative adjacent eigenindices that had just been scattered -- to bear an odd chirality.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Part One Of Light-Cone-Gauge Quantization And Gravity

Let us initially consider a set of discrete quanta of energy -- that work together interdependently, in so as to form one given arbitrary orbifold eigenset.  Let us now consider the inter-play of the light-cone-gauge eigenstates that come together, in so as to help in the formation of the basically wave-based functioning -- of the here proximal local discrete energy impedance, that is of the said orbifold eigenset. Let us next consider that the third-order Schwinger-Indices, that are thence formed by the plucking action of the directly corresponding second-order light-cone-gauge eigenstates by the correlative gauge-bosons, will here tend to work in such a harmonic-based manner -- to where the resultant gravitational-based force that is to here be formed by those Schwinger-Indices that are to here act as gravity-waves, will here be of a relatively steady-state nature.  This will then mean, that the overall gravitational push, that is to be applied to that physical holonomic substrate, will then tend to act with a Ward-Caucy-based tense of a relative state of conformal invariance.  This will then tend to mean that the here directly corresponding tense of the Majorana-Weyl-Invariance, will be of a relative tightly-bound nature.  This will as well, tend to mean that that Wess-Zumino-based activity that works to here bring the correlative topological stratum of the here directly corresponding light-cone-gauge eigenstates into a tense of quantization -- will have been a gauge-metrical Hamiltonian-based operation, that was of the nature of a Reimman-based scattering. This tendency may be varified by the Ward-Caucy-based condition, that those eigenindices that were to have here been brought together in a harmonic manner -- will to have the condition of working to bear adjacent eigenstates, that are of an even chirality.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Indistinguishable Or Distinguishable Differences In Gravitational Flow

When a tense of a gravitational condition, is said to be basically maintained in a relatively exact manner, from a vantage-point that is of a terrestrial-based manner or of a vantage-point that is relatively macroscopic from the substringular realm, then, one may say that the sequential series of the alterations that are here to be made, in the continual re-delineations that are of the eigenstates that are of the Rarita Structure-based phenomenology, are here to be of a relatively indistinguishably different manner -- at a given arbitrary respective Ward-Caucy-based set of conditions, that are here to be Poincare to the substringular level.  One may then say, that such a relatively maintained gravitational condition, is here to be of a relatively tight Majorana-Weyl-Invariant-Mode.  Yet, when a tense of a gravitational condition, is said to be basically of a free-flowing manner, from a vantage-point that is of a terrestrial-based manner or of a vantage-point that is relatively macroscopic from the substringular realm, then, one may then say that the sequential series of the alterations that are here to be made, in the continual re-delineations that are of the eigenstates that are of the Rarita Structure-based phenomenology, are here to be a relatively perturbative manner -- at a given arbitrary respective Ward-Caucy-based set of conditions, that are here to be Poincare to the substringular level.  One may then say that such a relatively loose gravitational condition, is here to be of a relatively loose Majorana-Weyl-Invariant-Mode.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Delineations of Rarita Struture Eigenstates

Discrete energy quanta are constantly re-positioned and re-delineated -- per each succeeding iteration of group-related instanton.  This will, in turn, help at working to cause the directly corresponding Schwinger-Indices, that are to here act as gravity waves, to be both re-positioned and re-delineated -- per each succeeding iteration of group-related instanton.  This just mentioned general tendency, will then work at helping to cause the directly corresponding Rarita Structure eigenstates, that are multiplicit in their delineation per each succeeding instanton, to be both re-positioned and re-delineated, over the course of just about any correlative group-related metric, -- in which one is to here take any directly pertinent sequential series of instantons, that are to here directly involve the mapping-out of any correlative cohomological tracings, that are to tend here to involve the extrapolation of the consequent mapping-out -- of what is to here the mappable tracings of the said Rarita Structure eigenstates.

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

Antiholomorphic Kahler Conditions And Gravity Waves

Often, a gravity wave -- of which is here to be that general multiplicit category of physical phenomenology, that exists as the kinematic expression of what may be deemed of here as Schwinger-Indices -- may be propagated in a back-and-forth manner along the topological-based stratum of the holonomic substrate of a compactified "collage" of mini-stringular segmentation, over the course of a set of metrical-based activity, that may be gauged here, as a Ward-Caucy-based example of a spontaneous Fourier-related activity of a substringular reverberation.  Let's take this from the "top."  A set of second-order light-cone-gauge eigenstates -- that are of the integrative plausible inter-relationship of the quantific characteristic of the overall light-cone-gauge eigenmatrix, that is of one discrete orbifold eigenset, are "plucked" like a harp by the directly corresponding gauge-boson eigenstates, in so as to help at working to form a discrete quantum-based characteristic of the correlative integration of the directly corresponding Schwinger-Indices, in so as to then act as those correlative interdependent set of gravity waves -- of which are to here be propagated along the proximal localized Rarita Structure eigenstates, in so as to help at working to allow for the basic Ward-Caucy-related condition, of physical phenomenology, to be able to then be able to work to bear a general multiplicit Yukawa-based coupling with other of such general physical-based phenomenology, over a sequential series of group-related instantons.  Let us next, consider that general condition, of a given arbitrary respective orbifold eigenset, of which is to reverberate in a back-and-forth manner, in so as to pushed from one general relative forward-holomorphic-based direction, into then being pushed into then going into the opposite general holomorphic direction, while then being pushed back into the initially said relative forward-holomorphic direction, while then being pushed back into the relative reverse-holomorphic direction, and so on.  Each time that what was here to be considered as a reversal in what is to then be the forward-holomorphic direction, there is to then be a series of ensuing antiholomorphic Kahler conditions.  This will then work to help at forming an ensuing series of what is to tend to here be a closely-knit tense of Kahler-Metric eigenstates.  As the said respective orbifold eigenset is to reverberate, in so as to help at working to form what will here be a sequential series of Kahler-Metric eigenstates, -- the resultant effect that this is to then occur upon the holonomic substrate of the proximal localized Rarita Structure eigenstates, will then tend to form a tense of one or more reverberation-based rippling effects, upon a set of one or more compactified eigenstates of mini-stringular  segmentation, in so as to help at working to form a back-and-forth set of Fourier-related vibrational oscillations, that will then act as gravity waves -- that are to be propagated between the ends of the holonomic substrate of two different topological stratum.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Schwinger-Indices And Mini-Stringular Segmentation

Let us initially consider one given arbitrary relatively compactified "collage" of mini-stringular segmentation -- that is to here be vibrating as one discrete metrical-gauge-based Hamiltonian operator, in which that specific example of an initial disturbance in space, that had must been enacted upon the so-stated integrative conglomeration of mini-stringular segmentation, in so as to help in working to form a tense of that general genus of a Ward-Caucy-based vibrational oscillation, that could be described of as being gravity waves in such a case, may then be thought of as a propagation of Schwinger-Indices, that are to here, ripple -- from the time-based locus as to when the so-eluded-to covariant, codifferentiable, and codeterminable "collage" of mini-stringular segmentation had absorbed the earlier mentioned disturbance in space, in a Fourier-based manner as a kinematic Hamiltonian operand, that as well will here act as a Hamiltonian operator, due to the here exasperative fluctuation of wave-based eigenstates, that are to here be perturbated, due to the metrical activity of the initial said disturbance -- up to the latter positioned holonomic substrate, that in of that ensuing Lagrangian-based Hamiltonian operand, in which that holonomic substrate-based phenomenology that is to here act as the then remaining gauge-attraction eigenindices, that are to here be in the process of being used-up or elliminated, via the process of these said eigenindices being put into such a Ward-Caucy-based condition, by which these will be allowed to then run-out their course, by such eigenindices to have then been fully degenenerated by being depreciated of their directly corresponding fractals of the eigenindices of the here correlative gauge-based attraction, that is to here be directly related to that initial disturbance in space, that had acted as those Schwinger-Indices that had behaved as the gravity waves that were initially formed by the "plucking" of the here correlative light-cone-gauge eigenstates by their correlative gauge-boson eigenstates, that had happened to the directly corresponding Rarita Structure, at an earlier tense of a gauge-based metric.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Schwinger-Indices And A Common Node

Let us initially consider two different given arbitrary respective Schwinger-Indices -- of which are to here be in the process of being propagated as gravity waves, across the Hamiltonian operand of two different distinct segments of mini-stringular topological stratum -- over the course of a relatively transient sequential series of group-related instantons.  Let us next consider, that the two distinct so-eluded-to wave modulae -- that are to here be transmitted across a discrete Lagrangian path -- are to work to bear two different distinct and respective oscillation-based patterns, over the so-eluded-to group-metric, -- to where, the resultant dual vibrational oscillations, are to here be working to form a set of two general disturbances in space, of which are angled toward a common node-based singularity in space, due to the condition that the directly corresponding holonomic substrate of the two so-eluded-to distinct segments of mini-stringular topological stratum, are to here be subtended from one another in such a manner, in so as to form a binding point, that is positioned in a Laplacian-based manner, that is positioned further along in the relative forward holomorphic direction from the initial dual disturbance in space, by which the two said respective Schwinger-Indices of this case had been initially propagated towards a common node in time and space.  When one is to, as well, work to consider both the manner of the angling of the two respective mini-stringular segmentations that are to be vibrating towards one another, along with the Ward-Caucy conditions of the eigenfunction-based Hamiltonian operation of the performance of the correlative Schwinger-Indices, as these are being oscillated as a "domino-effect" towards the so-stated common node -- that is to here be positioned in a Laplacian manner at a spot that is "further-up" in the relative forward holomorphic direction, then, the integration of these eigen-related conditions, when this set of conditions is coupled with the parameter-based conditions as to the Gaussian-based additions that are to be made Yukawa by the coupling of the two so-eluded-to wave modulae, that are to here be coming together, this will then work to help at working to form the resultant eigenstate of the then singularized discrete unitary Schwinger-Index, that is to then be of one integrative vibrational oscillation, that is to then act as one discrete metrical-gauge-based Hamiltonian operator, that is to then act as a gravity wave-based pattern, that is to here be imbued upon the topological stratum of one inter-bound eigenstate of mini-stringular segmentation.  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

Additive Schwinger-Indices

Let us initially take into consideration, two different Schwinger-Indices -- that are to here be in the process of being propagated along the topological surface of the holonomic substrate of two different respective given arbitrary segments of mini-stringular topology, -- over one directly corresponding duration of group-related metric.  Let us next consider, that the relative covariant velocity of both of the respective correlative  Schwinger-Indices is to be the same, and in the same general direction -- via the vantage-point of a central conipoint, -- over the course of that group-metric, in which the so-stated Schwinger-Indices are to be in the process of being propagated in a relative general manner, towards each other.  Let us next consider, that both of the so-stated Schwinger-Indices are to strike each other in a Gliosis-based manner, at a node that is to exist further-up in the holomorphic direction from the initially considered point of perspective, in which the initial stipulations were implied.  At this point, the behavior of the resultant Schwinger-index -- will then tend to be of an additive nature, from the nature of the two initially so-eluded-to wave-based disturbances in space, that the two initial Schwinger-Indices happened to respectively be, at the start of this case scenario.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.