Yau-Exact Nature And Conservation Of Homotopic Residue

In order for a mass-bearing orbifold eigenset, to be able to evenly generate as much cohomology as it is here to degenerate over time, -- it needs to be able to bear a conservation of its homotopic residue.  As any one said mass-bearing orbifold eigenset is to move faster, when in its relationship to electromagnetic energy over time, -- it is then to bear a quicker process, as to its directly corresponding time-wise process of evenly generating as much cohomology as it is here to degenerate.  As the so-eluded-to increased rate, as to the process in which any one given arbitrary mass-bearing orbifold eigenset, is to bear an accelerated tendency of the exhibition of its Yau-Exact nature, is here to happen, (which is as the said respective said orbifold eigenset, is here to be accelerating in its rate of speed -- when this is in its relationship to electromagnetic energy)  -- those individually taken mass-bearing superstrings of discrete energy permittivity, that work to comprise the said orbifold eigenset, will then consequently require less partition-based discrepancies, over the course of the inferred increase in the rate of the velocity of the so-stated eigenset, as such an eigenset is here to be in the process of increasing in its correlative Lorentz-Four-Contraction in the meanwhile.  Thereby, in order for such a said orbifold eigenset to then to be in such a "position" -- in so as to be able to maintain a conservation in its homotopic residue, over the course of any of such a respective general course of activity, -- such an orbifold eigenset must then increase in the number of its mass-bearing superstrings of discrete energy permittivity, that work to comprise the so-stated eigenset, in such a proportion to that decrease in the number of partition-based discrepancies, that work to be existent in those respective directly composite strings that work to comprise such a said orbifold eigenset, in order to work to allow for the here needed conservation of homotopic residue to be able to occur, -- from within the Ward-Cauchy-related bounds of the physical constraints of such a said given arbitrary respective set of discrete energy, that works to perform one specific function over time.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Pulsation And Gravitational Wave-Tug

Let us consider two different sets of dual orbifold eigensets, that are here to be in such a situation, to where these will both incur a certain scalar amplitude of gravitational force, the one of such a dual state upon the other -- to where, this is a case in which one is to have two different comparative cases -- in which one orbifold eigenset is to be working to bear a scalar amplitude of gravitational force upon another orbifold eigenset.  Let us next say that all four so-eluded-to orbifold eigensets are to bear the same number of discrete quanta of energy, as well as that all four of such said orbifold eigensets are to here to behave in such a Ward-Cauchy-related manner -- to where all of these said eigensets are here to be exhibiting a tense of superconformal invariance, at the internal reference- frames of all four of such individually taken just mentioned eigensets.  Everything else basically the same, that one set of dual orbifold eigensets, which is here to be exhibiting a higher metric-gauge-related pulsation -- the one to the other -- will then tend to be the one set of the two, that will more than likely work to bear a higher gravitational wave-tug, as to the force of gravity that will work to inter-bind the two said eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Inter-Meshed Orbifold Eigensets

Orbifold eigensets that are of different universal settings, tend to inter-mesh amongst each other -- in such a manner that does not tend to work to allow for any operational infringement upon one another, from within their correlative Ward-Cauchy-based substringular boundaries.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Superconformal Invariance And Lorentz-Four-Contractions

Let us initially consider a given arbitrary individually taken orbifold eigenset, that is to be in a proximal local state of superconformal invariance -- at a reference frame that is Poincare to the externalized core-field-density of the cohomological shell, that is of the said orbifold eigenset, -- as it is to here be undergoing a Fourier Transformation, over a sequential series of group-related instantons.  The tighter that the tense of superconformal invariance is, of what is here to be of a vibrating orbifold eigenset, that is to be basically remaining in one proximal local Ward-Cauchy-based spot -- the lower that the correlative Lorentz-Four-Contractions will be, upon those superstrings of discrete energy permittivity, that work to comprise the so-stated orbifold eigenset, -- over any correlative extrapolated gauged group-metric, that is here to be of an even function of Hamiltonian operation.  Furthermore, -- the tighter that the tense of superconformal invariance is, of what is here to be of a vibrating orbifold eigenset, that is to be basically remaining in one proximal local Ward-Cauchy-based spot -- the higher that the correlative Polyakov Action eigenstate will be, upon those superstrings of discrete energy permittivity, that work to comprise the so-stated orbifold eigenset, -- over any correlative extrapolated gauged group-metric, that is here to be of an even function of Hamiltonian operation. 
I will continue with the suspense later! To Be Continued!  Sincerely, Sam Roach.

Heat And Gauge-Transformations

The overall process of both the creation of heat energy, along with the Ward-Caucy-related Fourier-based activity of the vibrational oscillations of heat energy -- in the form of both the creation of infrared photons in correlation with their vibrations, over time, as well as the Ward-Caucy-related Fourier-based activity of infrared photons in correlation with their vibrations over time -- works to involve a general genus of gauge-transformation, that helps to work to allow for a plausible tense of a Hilbert-related volume, instead of bearing a Minkowski-related volume, for those directly corresponding atoms, and, at a reverse-fractaled tense, for those directly corresponding molecules, that are to here be correlative to the general tense of such a so-eluded-to manner of space-time-based activity.  Furthermore -- those gauge-transformations that are most correlative to the dual activity of both the formation and the activity of infrared photons over time, acts in part, as that general genus of gauge-tranformation -- that works as part of the process by which the directly correlative orbifolds and orbifold eigensets, that are to here be most Yukawa to such a general tense of activity, -- may then be brought into a Ward-Caucy-related condition of then being more susceptible to bearing less than a purely holographic-based manner of spatial dimensionality.  This is partially due to the general tense of that "shimmering" of those correlative light-cone-gauge eigenstates -- that is to happen, when photons are in part, to scatter upon such eigenstates, in the process of what is here is to be related to the consequent formation of that form of electromagnetic energy, that is known of as infrared photons, or, in other words, of what is known of as heat energy.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Infrared Photons And Heterotic Strings

Infrared photons help E(8)XE(8) strings to both persist and exist -- at the externalized core-field-density of the multiplicit proximal localized cite of both orbifolds and orbifold eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David 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.

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.

Core-Field-Density And Substringular Fields, Part One

Let us initially consider a given arbitrary bosonic superstring of discrete energy permittivity, that is taken at the Poincare level -- that is Gliosis to the topological substrate of the so-stated superstring.  Let us think here, in terms of the density of the topological surface -- that is at this general respective tense of locus.  The density that would exist here, under the Ward-Caucy-based conditions of such a so-eluded-to Laplacian-based transform, of such a so-eluded-to surface -- would approach infinity at the so-stated general proximal considered locus.  Next, let us consider the just mentioned superstring -- to be of a respective given arbitrary orbifold eigenset.  An orbifold eigenset is a set of one or more discrete quanta of energy -- that operate in so as to perform one specific function.  The partial of such a discrete quanta of energy -- that is specifically of basically the pointal-based characteristic of discrete energy permittivity -- is the perverbial superstring or superstrings, that work to comprise such a said orbifold eigenset.  The partial of such a discrete quanta of energy -- that is specifically of basically the wave-based characteristic of discrete energy permittivity -- is the perverbial superstringular counterpart  or superstringular counterparts, that work to comprise such a said orbifold eigenset.  The partial of such a discrete quanta of energy -- that is specifically of basically the pointal-based characteristic of discrete energy impedance -- is the perverbial Fadeev-Popov-Trace eigenstate or Fadeev-Popov-Trace eigenstates, that work to comprise such a said orbifold eigenset.  The partial of such a discrete quanta of energy -- that is specifically of basically the wave-based characteristic of discrete energy impedance -- is the perverbial first-ordered light-cone-gauge eigenstate or first-ordered light-cone-gauge eigenstates, that work to comprise the said orbifold eigenset.  Any given arbitrary discrete quantum of energy, will not be at the exact same relative spot -- over the course of two immediately consecutive iterations of group-related instanton.  Unless a given arbitrary orbifold eigenset is of only one discrete quantum of energy -- such a respective given arbitrary orbifold eigenset, will not work to bear a density that approaches infinity as quickly, as an individually taken superstring that is to be taken at the Poincare level will approach infinity -- when such a density is taken Gliosis to the topological substrate of such a so-stated respective so-eluded-to superstring or substringular eigenmember.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some More As To Energy Density And Cohomologies (Part Three)

Let us say that we are to consider here, a case of two different covariant orbifold eigensets -- over the course of one codeterminable and codifferentiable group-metric.  Let us say that both of the said orbifold eigensets, work to bear the same Ward-Caucy-based "volume."  Let us say that one of the two so-stated eigensets, works to bear twice the rest mass as the other orbifold eigenset -- of such a given arbitrary respective case.  Let us now say that the so-eluded-to orbifold eigenset, that is to here work to bear half of the rest-associated mass-based density than the other said orbifold eigenset, -- is to be traveling at a velocity, that is of twice the relative scalar amplitude of the velocity of the other so-eluded-to orbifold eigenset, of this respective case scenario.  The partial condition of one orbifold eigenset -- as bearing twice the mass-density of the other one, would Theoretically work to cause the so-eluded-to denser orbifold eigenset to be twice as efficient at eliminating its resultant cohomological residue, yet, since the less dense orbifold eigenset of this case, is to be traveling at twice the relative velocity as the other one, -- the less dense of the two so-stated orbifold eigensets will ironically work to bear a scalar amplitude of twice the efficiency at working to eliminate its excessive cohomological residue -- than the slower, yet denser, -- orbifold eigenset of this case.  Although faster orbifold eigensets of the same ulterior nature tend to generate more ghost anomalies -- these said faster eigensets still happen to be more efficient at working to eliminate their ghosts, or, their excessive cohomological residue.  So, the higher the energy density is of an orbifold eigenset is, the more efficient it is at eliminating its cohomological density.  This is although orbifolds of a higher energy density, will tend to generate more cohomological residue -- over time.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

The Second Interim In-Between Sessions 2 and 3 of Clourse 20 -- Calabi Interactions and Calabi Manifolds

Neutrinos are comprised of one general genus of mass-bearing superstrings (and therefore Yau-Exact), that are of discrete energy permittivity.  Neutrinos are thereby comprised of, in part, by a certain type of Calabi-Yau bosonic string -- that is existent in a Gliosis-based manner, from within the Ward-Caucy bounds of the so-eluded-to orbifold eigenset, that works to operate as the manifold of the  said respective individually taken neutrino -- as a genus of a superstring, that is of a p-field that works to alter in its holomorphicity in what would only tend to be in a hermitian manner, over time.  This would then mean, that the mass-bearing superstrings that work to comprise the so-stated neutrino, are closed-loops that act as two-dimensional superstrings of discrete energy permittivity, that are configured to the correlative ten-dimensional spatial environment that the said p-field is to here be going through, over time, in a Yau-Exact manner.  This then means, that the torsional eigenindices of those mass-bearing superstrings -- that work to comprise neutrinos, tend to always bend in a hermitian manner, over the correlative sequential series of instantons by which such a neutrino would be metrically going through.  This would then mean, as well, that if such a string as a neutrino, were to travel through or be propagated through a relatively unitary Lagrangian-based Hamiltonian operand, over time, then, the so-eluded-to neutrino, as an orbifold eigenset, will then tend to not directly bear any Lagrangian-based Chern-Simons singularities -- via any directly corresponding Yukawa-based manner.  This would mean, that, the Real Reimmanian-based propagation of any given arbitrary respective neutrino -- will tend to not work to directly form any spontaneous Doubolt cohomologies of a Njenhuis-based nature, in and of themselves.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The 14th Test Solution To The Last Test Of Course 19

14)  The initial Fourier-based activity that I am to describe of, as to the Klein Bottle eigenstate -- is of appertaining to the holonomic substrate of a said individually taken Klein Bottle eigenstate.  As a respective given arbitrary Higgs Boson eigenstate is working to help move the correlative Klein Bottle eigenstate, into the norm-to-holomorphic direction at the start of the Kahler-Metric, the so-stated Higgs Boson eigenstate is situated at the relative center of the  norm-to-holomorphic end of the said Klein Bottle eigenstate -- as such a so-eluded-to Fourier-based activity is in the process of moving the said Klein Bottle eigenstate, into the relative range of the Real Reimmanian Plane that is here to be directly associated with the Fourier-based activity of those correlative superstrings of discrete energy permittiivty, that are, as eigenindices of the correlative one or more orbifold eigensets that are to here be directly associated, to undergo the so-stated Kahler-Metric.  Once the said Klein Bottle eigenstate has reached the so-stated relative tense of the here local Real Reimmanian Plane, the correlative Higgs Boson eigenstate is to then angle at 22.5 degrees -- in such a manner that is here to be subtended between the relative holomorphic and the relative norm-to-holomorphic direction, by which the so-stated Klein Bottle eigenstate is to ensue upon moving into.  Later on, as the so-stated Klein Bottle eigenstate is to then be moving back into the relative reverse-holomorphic direction, the correlative Higgs Boson eigenstate is to then angle at 22.5 degrees -- in such a manner that is here to be subtended subtended between the relative reverse holomorphic and the relative norm-to-holomrphic direction, by which the so-stated Klein Bottle eigenstate is to ensue upon moving into.  Once that the said Klein Bottle eigenstate has re-reached the initial spot as to the locus of where it had started to move upon the respective relative Real Reimmanian Plane, by which it had started to bear its Gliosis-based relationship to superstrings of discrete energy permittivity -- that were to enter into its Ward-Neumman bounds, in-between the individually taken increments of the here successive correlative iterations of BRST and the Regge Action eigenstates -- the correlative Higgs Boson eigenstate is to then be translated into bearing in the relative reverse-norm-to-holomorphic direction, as this so-stated Higgs Boson eigenstate is to now be located, in a Laplacian-based manner, at the relative reverse-norm-to-holomorphic positioning of the said Klein Bottle eigenstate. The 382nd to the 384th iterations of the correlative Kahler-Metric eigenmetric, work to reposition the Klein Bottle eigenstate, in such a manner by which it may strategically enter its ensuing eigenmetric of the Kahler-Metric.  This general format of activity, works to map-out a cohomological mappable tracing of a relatively deep bag-like bottle, that bears a handle that may be mapped-out at 22.5 degrees in the relative (-ihat, +zhat) direction, as the Klein Bottle is entering the Real Reimmanian Plane of the Kahler-Metric.  And as the correlative Klein Bottle eigenstate is to act in so as to leave this relative Real Reimmanian Plane, this will work to map-out a cohomological mappable tracing of a relatively deep bag-like bottle, that bears a handle that may now be mapped-out at 22.5 degrees in the relative (+ihat, -zhat) direction.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Substringular Reverberation And Cohomological Degeneration

Let us here consider an orbifold eigenset -- that is to go from a set initial position, while then going into the relative forward-holomorphic direction, while then going into a reversal of the initially said holomorphic direction, while then reverting into going back into the initially said relative forward-holomorphic direction, and so forth -- in so as to work to form what may here be considered to be a relative substringular reverberation, that is of an initially so-eluded-to Majorana-Weyl-Invariant-Mode, over a sequential series of iterations of group-related instanton.  Each time that the so-stated orbifold eigenset is to reverse in the delineation of its relative tense of holomorphicity -- there is an antiholomorphic Kahler condition thus formed -- in so as to work to form a tense of a sequence, of what is here to be a series of Kahler-Metric eigenstates, to where the directly corresponding orbifold eigenset that is to be reverberating here, from within the range of a proximal localized set back-and-forth-based Lagrangian path, will then work to act in such a Fourier-based manner of kinematic codifferentiation, to where there will be the resultant cohomological-based tense of an initial Ward-Caucy-based state of a set of ghost-based indices -- that are to be initially generated, while then these just mentioned ghost-based indices are to then be degenerated, while then there being a relatively similar set of ghost-based indices to be formed here that are close to being as the initially so-stated cohomological pattern -- yet in a different specific mappable tracing, as this may here be considered in such a manner as to how one may extrapolate this as happening as is according to Stoke's Theorem.  'This happens, to where this second manner of cohomological mapping-out of ghost-based indices -- is to then be degenerated, as the relative reverse-holomorphic mappable tracing is to be remapped as may be extrapolated by Stoke's Theorem, and so-forth, as this may be implied by the so-eluded-to pattern -- in so as to work to form a continual sequential series of ghost-based generation/ghost-based degeneration, that may be "covalently" mapped-out -- in such a manner, to where each of the re-mapping-out of both general "platitudes" of holomorphic cohomological generation/degeneration, will here work to form a set of potential Minkowski-based integrands of interactive region, as to the specific given arbitrary cites of Fourier-based covariant-based differentiatoin, -- this of which is to take place here, over what would actually transpire as what would here tend to happen -- over a relatively transient sequential series of group-related instantons.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Disturbance In Space

The most primal disturbance in space, works to form what I term of -- as a tense of the strongest fractal of a state of pressurized vacuum. A discrete transversal increment of such a tense of a fractal of a pressurized vacuum, works to form what I term of as a tense of the linkage that exists in-between the individually taken holonomic substrate of the third-ordered point particles in time and space.  The discrete radial-based integration of sub-mini-stringular linkages, works to form those of the smallest volume-based point particles -- that I term of as third-ordered point particles.  Third-Ordered point particles are bound by sub-mini-stringular segmentation -- in so as to form a reverse-fractal of the discrete radial-based integration, that acts in so as to help to form such particles, that come together in so as to work to form that general tense of the volume-based particles -- that I term of as second-ordered point particles.  Second-Ordered point particles are both formed by and are linked by, the here so-stated third-ordered point particles that I have here mentioned.  A "chain" of second-ordered point particles, works to form what I term of as mini-stringular segmentation.  Mini-stringular segmentation, works to form what I term of as the core-field-density eigenindices that exist in the substringular.  It is the just mentioned mini-stringular segmentation, that works in so as to help to form -- that phenomenology that may be described of here, as the pseudo-energy that exists -- even in a complete vacuum.  It is the just mentioned mini-stringular segmentation, that acts as the smallest discrete phenomenology that tends to exist, all by itself.  You won't tend to find any unfrayed phenomenology in the substringular, that is loose -- that is smaller than mini-stringular segmentation.  Mini-Stringular segmentation comes together, in what tends to exist in a spherical-based manner -- in so as to work to form what I term of as first-ordered point particles.  A "chain" of second-ordered point particles that is bound at opposite relative ends, when taken individually, by one first-ordered point particle, that is then neither of the holonomic substrate of a Campbell Projection, nor of a Hausendorf Projection, nor of a Campbell-Hausendorf Projection, is what comes together in so as to form what I term of as a zero-norm-state-projection.  A zero-norm-state-projection is then, basically a segment of mini-stringular segmentation -- that is bound at both ends by a first-ordered point particle.   A set of what amounts to basically act in such a manner, that is to work to form a radial-based tense of an integration of first-ordered point particles -- that undergo the Polyakov Action during BRST, come together, in so as to help to work to form a two-dimensional superstring of discrete energy permittivity.  And, a set of what amounts to basically work to act in such a manner, that is to work to form a linear-based integration of first-ordered point particles -- that undergo the Polyakov Action during BRST, come together, in so as to help to work to form a one-dimensional superstring of discrete energy permittivity.  Superstrings work in groups that I term of as orbifold eigensets, and, orbifold eigensets work to form the holonomic substrate of those particles that are in the arena of the subatomic level.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Part Ten Of The Twelvth Session Of Course 19 -- The Klein Bottle And Orbifold Differentiation

Let me start out with an obvious ansantz -- of which is to here be followed by an explanation of a concept, which will here at that point, be of more of a simpler degree of thought to be understood than otherwise.:  Any given arbitrary imaginary number that is to be multiplied by another given arbitrary imaginary number -- if both of such so-stated imaginary numbers are of a positive imaginary-based nature -- will then result in the computation of what will then be of a negative Real-number-based nature.  Nextly, any given arbitrary Real-number-based value that is to then be multiplied by another given arbitrary Real-number-based value, will then result in the computation of what will here be another value that is of a Real-number-based nature.  Any given arbitrary Kunneth formulation, that would here work to involve the directly corresponding import of a Yukawa-affiliated Yang-Mills light-cone-gauge topology, -- will then result in the Hodge-based adding of the directly associated orbifold eigensets, that are to here be of the so-eluded-to non abelian, or, in other words, of the so-stated Yang-Mills light-cone-gauge topology, to where such a euclidean additive process would then work to acrue to a set of compiled imaginary, or, in other words Njenhuis indices -- since the directly corresponding Yang-Mills symmetry may here be described of as being of an imaginary-norm relation -- to what would here be of a kinematic interaction that is to happen here, towards the directly correlative entropic Real Reimmanian Kaluza-Klein light-cone-gauge-based supersymmetry.  Here.  Let us consider here a set of photons - that, when not scattered, are always to tend to be here of a Yang-Mills light-cone-gauge topology -- that are to quantifically strike and then scatter upon another initially set phenomenology.  The electromagnetic energy, or, in other words, the quantized set of photons -- are to then act in so as to scatter, in what may here be described of as a Calabi-based interaction -- of which will then tend to work in so as to form a Gaussian inter-relation, that is known of as as gauge-transformation. The thus entropic photons, when this is taken immediately after these so-stated photons have been scattered -- will then tend to be perturbated from the initial Yang-Mills topology, into what is to now to be of a Kaluza-Klein light-cone-gauge topology, BUT NOT OF A YAU-EXACT NATURE -- for the initial 384 iterations of group-related instanton, right after the said collision for each individually taken scattered photon is to happen, which is again right after these said photons have acted in so as to bear their correlative Gliosis-based contact, with the multiplicit holonomic substrate that these have collided with.  Even though the overall said scatterered quanta of electromagnetic energy is slowed-up, when it strikes a medium other than a vacuum -- the initially entropic photons are to here initially be sped-up in a flow that is not of a Noether-based nature -- during the said initial 384 iterations of group-related instanton, after these have collided with a metrical-gauge-based Hamiltonian operator, in a Gliosis-based manner.    Immediately after the said 384 initial instantons in which these entropic photons had just sped-up, these respective photons are to then slow-down to a greater scalar amplitude than these had initially sped-up.  Yet, the process of the directly correlative orbifold eigenset -- being put into a "position" in so as to need to "catch-up" with the said entropic photons, as these said scattered photons are being multidirectorally scattered -- works to tend to involve the ironic condition, due in part to the means of the activity of this said "catching-up,"  that scattered light that strikes any medium other than a vacuum will always tend to go slower than light would otherwise travel at, as it is traveling through any of such a medium other than a vacuum, -- as is according to Snell's Law.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

An Accelerating Mass-Bearing Superstring

Le us here consider a given arbitrary mass-bearing superstring of discrete energy permittivity, that is accelerating -- as the said superstring is moving through its correlative Hamiltonian operand, through what may be mapped-out as a phenomenon that is going through a relatively discrete unitary Lagrangian, over time.  Let us next consider the condition as to that the so-stated mass-bearing superstring that is being discussed in this case, is accelerating at a smooth rate, that, in a correlative metric-based manner, does not work to include the Fourier-based activity of any jerks in the process of the here existent-based manner of the said acceleration of the so-stated discrete quantum of energy permittivity, that is functioning in so as to perform one specific operation over a sequential series of instantons.  So, in this particular case, the respective given arbitrary superstring that we are here discussing, is to then act as an orbifold eigenset -- in and of itself, in so as to act as one discrete metrical-gauge-based Hamiltonian operator.  This would then work to result in the condition, that the Lorentz-Four-Contractions that may then be applicable to what will then happen to the Ward-Caucy-based bounds as to the mass, the length, and the time of the physical phenomenology of the so-stated superstring of this case that is being accelerated smoothly through an otherwise discrete unitary Lagrangian -- will increase upon the topological holonomic stratum of the phenomenology of the directly corresponding superstring of discrete energy permittivitiy in a homogeneous manner, over the directly so-eluded-to metrical duration that may be gauged here.  This would then mean that the Laplacian-based activity of the gradual delineation of the slope that may be mapped-out here by the Laplacian-based condition of an ever increasing Lorentz-Four-Contraction that is being applied to the said respective superstring -- will be in this case of a euclidean-based nature, -- since the reverse-expansion of the Laplacian-based decrementing slope that is directly correlative here, is not of an exponential-base manner.  So, since the so-stated reverse-expansion that may be mapped-out in a Laplacian-based manner -- at the two ends of the correlative superstring, as it is being contracted smoothly over time, is not of an exponential manner, the said reverse-epansion is not of an inverse Clifford Expansion, -- it is of an inverse euclidean expansion.  (I hope that this post explains things a little bit better.)
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

The Effect Of Added Dimensions Upon The Force Of Gravity

When one has an isomorphism that is comprised of multiple superstrings that are relatively separated from being in the same general locus, yet, such superstrings are all within an Angstrom of each other, then, one has to consider the condition as to whether or not such extrapolated superstrings, over a time-wise differential association, are under a state of static equilibrium, or, if such a set of superstrings are more along the lines of behaving in both a perturbative and also in a relatively divergent manner. If one has two given arbitrary sets of superstrings that are proximal -- microscopically -- yet, are not of the same general locus, and, if the two said sets of superstrings are under a condition of superconformal invariance, as these said superstrings are non-trivially isomorphic the one set relative to the other, then, these superstrings would need to be acted upon in order to become diverged away from the eluded to condition of static equilibrium. If there happened to be a ghost inhibitor that acted as a buffer in-between the two eluded to general loci of each set of such superstrings that are here of the same universe, then, if some sort of norm-state projection that were to act upon both of the said sets of superstrings via the holonomic substrate of the said ghost inhibitor that were to be in-between the two eluded to orbifolds (physically-based spaces) were able to possibly work to produce an alteration or a perturbation in the said condition of static equilibrium that was here to initially be kinematic in-between the two said sets of superstrings that are in this case initially in a symmetry of non-trivial isomorphism, then, this would then make it possible to end the eluded to condition of static equilibrium. Such an alteration from what was here a given arbitrary case of superconformal invariance would tend to diverge the two sets of superstrings in such a manner in so that the directoral-based wave-tug/wave-pull of each individual set of superstrings would reverse in terms of their holomorphic permittivity. Such a reverse in directoral flow would then here indirectly cause the production of a Wick Action eigenstate, which would consequently cause the activity of a Gaussian Transformation that would act upon the general locus of part of the initial region in which the orbifolds, or, the physical spaces, that are here represented by the two sets of superstrings, so stated, that here work to perform two different functions that are Gliossi upon the holonomic substrate of the same universe. This is a general example as to that activity that may often work to allow for the need for the changes in certain norm-based conditions. Again, norm-conditions need to change often in order for room to be made for the essential operations of space-time-fabric.

Back-To-Back Changes In General Genus Of Expansion

Let us say that there was an initial substringular activity, that were to then work to cause a relatively chaotic substringular-based Rayleigh-scattering-associated implosion, that would here happen to an initially relatively organized grouping of what would here be a set of orbifold eigensets -- that were then initially harmonic in their relative delineations, as individually taken eigenindices that worked to form an initially Reimman configuration of a Majorana-Weyl-Invariant-based mode in time and space.  The ensuing so-stated Rayleigh-based implosion, that would then happen as an annharmonic scattering of an initially ordered Reimman set of orbifold eigensets -- of which, although the said annharmonic scattering were to work to pull the eigenindices of the said set of orbifold eigensets closer together, as an overall proximal localized set of Hamiltonian operators that had been put into a relative scalar magnitude of entropy, such an annharmonic scattering would tend to cause the adjacent of such so-eluded-to eigenindices to bear an odd chirality -- after the so-stated chaotic activity were to here occur.  Let us then say that there was to next off be a binary tense of a mode, as to the ensuing expansion of the Poincare-based locus of the correlative eigenmembers that had just been pulled inward in a chaotic manner -- to where this cross-product-based resulting outward thrust would be a sequence of what would first be a Clifford Expansion as to the mode of the proximal delineations of the original eigenmembers of the orbifold eigensets, of which would then move into a euclidean expansion of the so-stated original eigenmembers of the self-same orbifold eigensets, to where this works to become a back-and-forth successive series as to the mode of the expansion of what were initially the Yukawa-based existence of the eigenmembers of the said set of orbifold eigensets, by which the earlier mentioned tense of activity that had happened in so as to be caused by the chaotic implosion of the initially harmonic ordering of the eigenmembers that were of the so-stated set of orbifold eigensets, would subsequently -- via the gauge-metrical Hamiltonian operation of the said general genus -- of what would here be, in this given arbitrary case, the sequential expansion mode -- in so as to work to form what is to here become an asymptotic approach of a Reimman scattering, -- to where, although the whole initial tendency as to the gambit of each of the initially directly corresponding eigenindices of the said set of orbifold eigensets, will here not be able to, by such a said respective given arbitrary means, work to bear all of such said eigenindices to spontaneously, by this method, be able to all bear adjacent eigenmembers that would be of an even chirality -- theoretically, then, the directly correlative Njenhuis spin-orbital tensors that would here act as Li-associated oscillation-based Hamltonian operators, would here approach a closer and closer scalar amplitude as to bearing the desired perfectly even eigencondition of chirality, for all of the correlative respective eigenindices of such a case.  Yet, the covariant activity of external forces would tend to cause an impending Yukawa interaction -- that would then tend to spontaneously cause what I had just said would continue to move in the direction as to be of the given arbitrary respective case, in theory, to instead, change in its mode -- over an ensuing series of group-related instantons, -- particularly if there is a relatively transient duration into which the said set of orbifold eigensets is to be forced into a Gliosis-based contact with the Yukawa-based torsioning of external substringular forces.  I will continue with the suspense later!  To Be Continued!  Sincerely,
Samuel David Roach.

Gliosis-Sherk-Olive Fields Of Different Universal Settings

Let us here initially consider one given arbitrary GSO ghost of an orbifold eigenset -- that is of a Calabi-Yau manifold of a set of bosonic mass-bearing superstrings of discrete energy permittivity.  Let us next consider the Laplacian-based condition of such a cohomological mappable tracing -- as it is existing as a ghost-based pattern of the physical memory of a respective given arbitrary orbifold eigenset, that is of a Majorana-Weyl-Invariant-based mass, that is undergoing a tense of conformal invariance, over a sequential series of iterations of group-related instantons.  Let us say that the universal setting of the initially so-stated mass-bearing Calabi-Yau cohomological stratum, is of our respective universe -- as a set of superstrings that operate in so as to perform one specific function, in a state of what may be considered here as a tense of static equilibrium.  As an aside, the holonomic substrate of the topological setting of a bosonic superstring of discrete energy permittivity, is as a vibrating or oscillating hoop of space-bearing disturbance.  The so-stated bosonic-superstring-based orbifold eigenset of this case would have here been brought into a relative tense of conformal invariance by a group-attractor, that would have then acted in a tense of a Wess-Zumion interaction, in so as to form that correlative harmonic perturbation that would have worked to cause the relative optimum relaxation of the Gliosis-based topological stratum of the holonomic substrate of the so-eluded-to set of two dimensional superstrings, in so as to bring it into a relatively static tense of delineatory index -- at a proximal localized setting at the Poincare level of its Yukawa-based Hamiltonian operation.  Let us then say that the field-density of the GSO ghost-based indices that would work here to form the physical memory of the here discussed set of closed-loop bosonic phenomenology, would be, in and of itself, of a set of disc-like abelian differential geometry.  Let us then say that there would then be the Laplacian condition of the existence of a relatively countless set of bosonic superstrings, that would be in the same general state of condition as the so-stated orbifold eigenset of such a case -- yet of countless respective different universal settings -- that are inter-woven into the general proximal locus of what may be thought of here as the "annulus" of the field-density of the initially stated bosonic-related orbifold eigenset. This would then work to make the "appearance" of the field-density of the GSO cohomological setting of each of such orbifold eigensets, to seem as of more of a torroidal-based nature than otherwise. To Be Continued!  Samuel David Roach.

A Different Tense Of Relative Covariance

Let us say that one were to have an orbifold eigenset, that was comprised of a set of smaller orbifolds, of which functioned as Hamiltonian operators from within the Ward-Neumman confines of the initially said orbifold eigenset.  Let us next say that the initially stated orbifold eigenset, was just acted upon by a group-attractor eigenbase -- in so as to go from moving in a divergent tense, via its respective given arbitrary Fourier-based translation, into moving as a Hamiltonian operator that is then put into a state of static equilibrium -- to where the overall orbifold eigenset of such a case, is put into a tense of conformal invariance over the course of a Wess-Zumino interaction -- that would exist here between the group-attractor and the said overall eigenset, over a relatively transient duration of time.  Let us then say that the orbifolds that are here to exist from within the Ward-Neumman bounds of the holonomic substrate of the orbifold eigenset, had here just been perturbated in a harmonic manner -- to where these are differentiating in a Fourier-based manner, over time, in such a manner that is cyclical, in a divergent manner, that is of less of a conformally invariant tense of kinematic motion.  This is to where, ironically enough, the interior-based orbifolds that are of a Ward-Caucy relationship with the overall orbifold eigenset that is of an external Ward-Neumman bounds, are in less of what may here be considered as a tense of static equilibrium, than the initially so-stated orbifold eigenset -- that had just been brought into a higher state or optimum relaxation -- over a sequential series of instantons.  Even though the orbifolds that are of a Ward-Caucy relationship with the externally constructed orbifold eigenset -- that work to contain the Ward-Neumman boundaries of the internally proximal localized orbifolds -- are of a relatively less stable covariant tense of both codetermination and codifferentiation, over time -- the internally proximal localized eigenindices, that are of the internal genre of a multiplicit framework, are of more of an entropic state of Fourier Transformation than the relative state of rest,that is associated instead with the Fourier Transformation of the external framework of codetermination and codifferentiation -- as the initially so-stated orbifold eigenset is oscillating in a tense of what may be here considered as a state of relative static equilibrium.  So -- this means that what would here be an externalized physical framework of Ward-Caucy Hamiltonian operation, is acting as a state of holonomic substrate that is in a  Majorana-Weyl-Invariant-Mode -- even though the action of the so-stated group-attractor that had brought the initially said orbifold eigenset into a Wess-Zumino interaction, in so as to bring the said eigenset into a harmonic perturbation that had then brought it into a tense of conformal invariance, did not simultaneously, through the vantage-point of a central conipoint, work to bear a Wess-Zumino interaction upon the Yukawa-based topology of the holonomic substrate of the internally-based orbifold-related fields that are Gliosis to the Hamiltonian operation of the overall said orbifold eigenset.  To Be Continued!  Sincerely, Sam Roach.