As To Group Attractors

I am about to start to explain the idea behind what a group attractor eigenmatrix of directly associated strings is, as such an eigenmatrix acts as one group trait encodement.:  Let us initially say that three superstrings of discrete energy permittivity function as one homotopic-based trait -- as an orbifold -- of which devolves the basis of one particular unique holonomic substrate.  Two of the so-eluded-to strings that are eigen to the directly associated homotopy are one-dimensional, and work to form a cohomology that acts as a dually bound  conical-shaped mappable tracing, that forms a core-field-density that bears a closing of the otherwise open looping, while one of the so-eluded-to strings that are eigen to the directly associated homotopy are two-dimensional -- and works to form a core-field-density that acts as an integration of a large Hodge-Index of  toroidal-based eigenstates of morphology, that, when such eigenstates come together, work to form a shaft-like mappable tracing that may be extrapolated as a shaft-like appendage to the so-eluded-to general homotopic index.  This just mentioned compilation of cohomological indices acts over time, in so as to form a kinematic display that acts as a series of covariant cyclic permutation -- that works to form an eigenbase that may be implemented as a revolution of proximal ordering - when it comes to the nth delineation of what would here involve the kinematic activity of the so-mentioned two-dimensional string, in this given arbitrary case that I am discussing here.  As the so-mentioned eigenbase of homotopic cohomological-based index is being redefined, over the succession of each iterative and reiterative covariant-based occurrance of group instanton, the three so-mentioned superstrings of discrete energy permittivity that I have mentioned here in this case will here involve a discrete genus of overall wave-tug permittivity -- that will work to cause all three of such directly associated superstrings to bear a condition of being detectable as being proximal in the globally distinguishable.  Yet, when the three here mentioned superstrings of such a case scenario are not initially detectable as being proximal in the globally distinguishable -- in such a manner to where such so-stated superstrings will gradually  work to bear a direct Ward-Cauchy kinematic basis of differentiation, that would here involve the same tense of imagination (the directly associated wobbling of the correlative Fadeev-Popov-Trace eigenstates, are to alter, in so as to then be of the same Real Riemannian Gaussian Translation, amongst the three so-eluded-to discrete units of energy, to where all three directly associated strings will then act as three subspaces that are then of the same universal setting) -- the here directly involved superstrings' unique differential clause, in terms of the correlative covariant wave-interaction,  will gradually work to make these so-stated directly associated strings to eventually act as being adjacent in the globally distinguishable, over time.
I will continue with the suspense later!  To be continued!  Sincerely, Sam.

The Kaeler Relationship To Ghost Annhilation

When a Gliossi-Sherk-Olive ghost-based cohomology of any significant scalar magnitude of Hodge-based index is scattered annharmonically by relatively reverse-holomorphic norm-state projections -- there is a correlative Nielson-Kollosh ghost-based cohomololgy of a significant scalar magnitude of Hodge-based index that is, as well, scattered annharmonically by relatively reverse-holomophic norm-state projections, off of the relative Real Reimmanian Plane.  There is, at this general group metrical point in activity, a complementary-based group attractor that works to pull the residue of the so-eluded-to annharmonically scattered Neilson-Kollosh-based cohomological pattern out of the relatively Njenhuis Plane -- from which the so-stated Neilson-Kollosh ghost-based pattern was formed by gravitons and gravitinos -- into the relative Real Reimmanian Plane, where the so-stated Gliossi-Sherk-Olive ghost-based cohomological pattern that I have here eluded-to was initially both formed and scattered into a certain quantum of Fock Space residue.  Likewise, there is, simultaneously, via the vantage-point of a central conipoint, a complementary-based group attractor that works to pull the residue of the so-eluded-to annharmonically scattered Gliossi-Sherk-Olive ghost-based pattern -- out of the relatively Real Reimmanian Plane and into the correlative Njenhuis Plane, where the so-stated Neilson-Kollosh ghost-based cohomological pattern that I have eluded-to was initially both formed and scattered into a certain quantum of Fock Space residue.  It is, in both just eluded-to cases, one covariant, codifferentiable, and codeterminable ghost-inhibitor for each of such so-stated cases, when taken individually, per case, that works to act upon both of the so-eluded-to genus-based formats of group attractor indices -- in so as to cause such an exchange of the residue of the so-stated ghost-based cohomological indices.  When such a significant quantum, as I have here eluded-to, of the residue of ghost-based cohomological indices, is recycled in the manner that I have just mentioned -- this genus of activity will here work to form an antiholomorphic Kaeler conidition -- via the affect that such a genus of activity works to bear upon the relatively local Rarita Structure eigenstates.  This so-stated affect works to involve the Ricci Scalar -- since the Ricci Scalar happens along the topological surface of the activity of the correlative Rarita Structure eigenstates.  Such an eluded-to initialization of an antiholomorphic Kaeler condition works to cause what is known of as the Kaeler Metric -- at the here given arbitrary local substringular neighborhood.  This will then work to initiate the Wick Action -- which will ensue to cause a Gaussian Transformation, in so as to allow for both the continued kinematic differentiation of active superstrings, as well as causing discrete energy to reattain their correlative multiplets of the fractal of such discrete energy.  To Be Continued!  I will continue with the suspense later!  Sam Roach.

About a Special Ghost Inhibitor

When a superstringular-based phenomenon is scattered harmonically, in so as to form a cohomological-based index, the just eluded-to scattering is of a Reimman scattering.  When the just mentioned superstringular-based phenomenon is scattered enharmonically in so as to annihilate the just mentioned cohomological-based index, the just eluded-to scattering is of a Rayleigh scattering.  So, when one substringular entity of relative reverse-holomorphic-based norm-state projection works to involve a Rayleigh-based scattering, in so as to alleviate the eluded-to condition of a mappable tracing of the physical memory of both the existence and the activity of a given arbitrary substringular entity, this activity of such a genus of a Rayleigh-based scattering will tend to trigger a genus of a ghost inhibitor, that acts upon the holonomic substrate of the so-eluded-to ghost-based cohomological-index -- via the pulling in of wave-tug/wave-pull, that is here due to the eminent activity of a certain genus of a group attractor -- in so as to work to exchange the residue of the phenomenology of GSO ghosts with the residue of the phenomenology of Neilson-Kollosh ghosts.  To Be Continued!!! Sam.

A Little Bit About Other Formats of Scattering

Often, a substringular scattering that is acted upon from an outside source involves both a Reimman scattering and a Rayleigh scattering -- at one general given arbitrary locus.  For instance, let us say that one orbifold eigenset were to strike another orbifold eigenset, in such a manner in so that there is an initial Rayleigh-based scattering at the interial Poincaire-based locus of the so-eluded-to scattering, and, to where, there is a latter happening of a Reimman-based scattering at the exterial Poincaire-based locus of the same general genus of the so-eluded-to scattering.  Here, the interial so-mentioned scattering involves an enharmonic scattering of superstrings, and, the exterial so-mentioned scattering involves a harmonic scattering of superstrings.  The so-mentioned enharmonic scattering works to involve adjacent eigenstates of the said re-displacement of superstrings that work to bear an odd chirality of group related metric -- through the tensoric intricacies of the here spewn eigenbase of Lagrangian setting, over time.  This is while the so-mentioned harmonic scattering works to involve adjacent eigenstates of the said re-displacement of superstrings that work to bear an even chirality of group related metric -- through the tensoric intricacies of the here spawn eigenbase of Lagrangian setting, over time.  This may be more pictorially described in this manner:  The enharmonic so-mentioned scattering in this case works to form a chaotic delineation of re-displaced eigenstates -- in the form of a set of re-delineated superstrings that are not evenly redisplaced, or are outside of any particular pattern of re-established positionings -- as the so-mentioned superstrings are pulled out of an initial Ward-Caucy tense of order,  that would have existed here before the so-eluded-to scattering.  On the other hand, the harmonic so-mentioned scattering works to form a tense of a re-convened eigenbase  of delineation of re-displaced eigenstates -- in the form of a set of re-established positionings -- as the so-mentioned superstrings are pulled back into the initial Ward-Caucy tense of order, that, again, would have existed here before the so-eluded-to scattering.  This would only happen if the initial disorder that would here be caused by the Rayleigh scattering was brought back into order by the effects of an exterior-based source -- that acted upon the so-mentioned conditions of chaos, in so as to bring a state of optimum rest, in so as to scatter the so-stated delineations of chaos back into order.  Yet, eventually, such a tense of a chaotic-based scattering being scattered into a more orderly distribution by an outside source, will tend to bear a more heightened aptitude of being brought back into a condition of chaos once again.  For instance, the Big Bang -- when it created the multiverse -- formed an extreme initial degree of chaos, of which eventually was brought into some local tenses of heightened order.  Yet, the tendency of the just mentioned order is in the direction of a heightened capacity to go back into a state of disorder.  So, as long as there is no exterior influence upon an initial scattering in the substringular, the tendency is, rather, to go from an initial Reimman scattering of orderly re-displacement into a latter Rayleigh scattering of a chaotic re-displacement.

The third part of Session 3 of course 18

The tori-sector-ranges -- during the gauge-metric in-between group instantons, in which both the Bases of Light are majorized and the space-hole is in engagement -- are aligned in such a manner in so that what is to be each ensuing predominant layer of reality (predominant tori-sector-range), is in the forward-holomorphic positioning from the vantage point of forward-time-based momenta eigenstates, while, this is in the reverse-holomorphic positioning from the vantage point of backward-time-based momenta eigenstates.  For every one majorization of an eigenbasis of an overall Basis of Light that exists in forward-time-bearing momenta holomorphicity, there is one majorization of an eigenbasis of an overall Basis of Light that exists in backward-time-bearing momenta holomorphicity.  So, there is a tendency to where, for every holomorphic-bearing eigenstate, there is an antiholomorphic-bearing eigenstate -- as such just eluded-to eigenstates are propagated through their correlative Lagrangian-based paths over a successive series of instantons (time).  Forward-moving time, for each individual tori-sector-range -- is directly interconnected to backward-moving time, for each individual tori-sector-range -- via those segments of inter-woven discrete substringular field core-density (an interconnection of organized mini-string) that are Ward-Caucy bound, by both the existence and the activity of the correlative substringular encoders.
Just touching base today!  To Be Continued!!! I will continue with the suspense later!  Sam.

Conical Semi-Groups Versus Torroidal Semi-Groups, Displacements

Let us say that one were to consider one conical-shaped orbifold that holomorphically struck a torroidal-shaped orbifold, at a spot other than at the general locus of its annulus, to where the latter general format of orbifold -- of which were to here be approaching the so-eluded-to conical-shaped orbifold, at the same velocity, while in the process, was moving in the directly antiholomorphic directoral-based Hamiltonian mappable tracing, over time.  Let us, furthermore, say that both the so-stated conical-shaped orbifold and the torroidal-shaped orbifold that I have mentioned here were to bear the same Hodge-Index of Hamiltonian-based composition -- both in terms of the overall intrinsic rest energy quanta, and, also in terms of their intrinsic Lorentz-Four-Contraction, in so that the degree of compactification of both of the orbifolds that I have mentioned here were to be the same -- in terms of the resultant of the Lorentz-Four-Contractions of both of the said orbifolds, as both of the so-eluded-to semi-groups are to here approach each other in a Ward-Caucy manner that relates to a tense of 180 degrees.  So, here, the resultant genus of Polyakov-Action of both of the so-stated orbifolds are to be of the same parity -- as each of the said orbifolds are to here approach each other on a common Real Reimmanian plane, that curves as to the intrinsic curvature of space-time-fabric, and not of a Wilson Line-based plane of binary approach.  Here, the conical-based orbifold structure that I have eluded-to will tend to scatter the torroidal-based orbifold structure in a Rayleigh scattering -- as the two so-eluded-to orbifolds are to here strike each other upon the general gauge-metric, in which the two said semi-groups are to then work to bear a viable Gliossi-based Yakawa Coupling.  Yet, if everything here were to be the same, except that both of the so-eluded-to orbifold eigensets that are to here be involved were to be of a torroidal-based nature, then, the scattering will, instead, be of a Reimman scattering.  To Be Continued!  I will continue with the suspense later!!! Sam.

Some Stough As To Reimman Scattering Versus Rayleigh Scattering

When one given arbitrary substringular phenomenology is scattered harmonically, such an eluded-to semi-group is then here undergoing a Reimman Scattering.  When one given arbitrary substringular phenomenonlogy is, instead, scattered annharmonically, such an eluded-to semi-group is then here undergoing a Rayleigh scattering.  A Reimman Scattering -- in the substringular -- is one in which one given arbitrary group of superstrings that operate to perform one specific function (a given arbitrary  orbifold eigenset) is scattered in such a manner, in so that the adjacent eigenmembers of phenomenolgy that are redistributed by the so-stated scattering will bear an even chirality, as well as that these so-eluded-to eigenmembers that are adjacent are here tending to bear a trivial isomorphism -- as the so-stated given arbitrary orbifold eigenset that is here scattered is re-distributed into a different delineation, over time.  Whereas, a Rayleigh Scattering -- in the substringluar -- is one in which one given arbitrary  group of superstrings that operate to perform one specific function (a given arbitrary orbifold eigenset) is scattered in such a manner in so that the adjacent eigenmembers of phenomenology that are redistributed by the so-stated scattering will bear an odd chirality, as well as that these so-eluded-to eigenmembers that are adjacent are here tending to bear a non-trivial isomorphism. -- as the so-stated given arbitrary orbifold eigenset that is here scattered is re-distributed into a different delineation, over time.  Such just mentioned scatterings (that are either of a Reimman Scattering or that are of a Rayleigh Scattering) may be of either a euclidean-based perturbative genus, or such scatterings may be of a Clifford or euler-based perturbative genus.  A prime example of a general format of a Reimman Scattering, is the process of the formation of cohomolgical projections, over time, by the mappable tracings -- that are multiplicitly pulled into existence by the kinematic activity of substringular activities, in the process of the integration of ghost-based indices, while, a prime example of a general format of a Rayleigh Scattering, is the process of the vanquishment of cohomological projections, over time, by the mappable tracings that are multiplicitly pulled into existence by the kinematic activity of substringular activities, in the process of the reverse-derivation of ghost-based indices.
Next post, the tendencies of scatterings due to both the motion of either torroidal-based morphologies that are kinematically delineated, as redistributed orbifold eigensets that are displaced over time, and/or the motion of conical-based morphologies that are kinematically delineated, as redistributed orbifold eigensets that are displaced over time.
To Be Continued!  I will continue with the suspense later!!! Sam Roach.

A Little About The Displacement of the Substringular

When one considers two semi-groups that collide with an equal velocity upon contact, this of which  acts as two relatively small groups of superstringular phenomenology that are alike -- except for the condition that one of the two just mentioned superstringular semi-groups bears a relatively homeomorphic pattern of Lorentz-Four-Contraction, of which is more compactified, in general, than the other of the two so-eluded-to semi-groups that I have here mentioned -- then, the first of such eluded-to semi-groups of superstringular phenomenology will tend to act as a holonomic substrate that will be able to produce more of a displacement upon the second of such eluded-to semi-groups, again, upon contact, in so long as both of the here mentioned semi-groups work to bear the same differential pattern of general morphology, and, in so long as both of the here mentioned semi-groups are of the same Hodge-based scalar magnitude of Hamiltonian Ward-Neumman-based quanta, and, in so long as both of the here mentioned semi-groups -- that will here act as two colliding respective holonomic substrates, work to bear the same genus and format of conformal invariance, upon contact.  This will then, here, work to indicate that both of the here eluded-to structures of superstringular phenomenology will bear two different resultant tenses of both their Lorentz-Four-Contraction, as well as bearing two different tenses of the scalar magnitude as to the extent of their two distinct respective gauge-metrics, when this is in consideration of the correlative eigenstates of their Polyakov-Action-based activity.  This also only tends to be true if both of the here mentioned semi-groups will here be both approaching each other at the same velocity, in relativistic terms, right before contact -- via the presence of a binary Hamiltonian operand, that acts as the mappable path of a homeomorphic binary-based Lagrangian, as well as both of these so-eluded-to semi-groups striking each other with the same genus of their overall permittivity-based index -- as taken from the vantage-point of a central conipoint.  Such a displacement may either be of a Wess-Zumio manner of metrical scalar genus, or, such a displacement may, instead, be of a more perturbative format -- in so that the displacement will then here scatter the eigenbase of the Hodge-based group index of the original composition of the initial structure of the "weaker" of such holonomic substrates, that here worked to comprise the Hamiltonian operator that acted as the here mentioned semi-group that I had initally eluded-to as being more likely to be overtly displaced -- at the here eluded-to general locus, of what may either be a euclidean or a Clifford-based scattering of one semi-group of phenomenology by another semi-group of phenomenology.  I will continue with the suspense later!  To Be Continued!!! Sam Roach.

Part Two of What may be my Third Session of Course 18

The condition of each individual layer of reality of each set of parallel universes, as existing in a completely diversified manner of delineatory index -- in a granular-based flow of homotopically-based indices, in such a manner in so that each of the so-stated layers of reality of each set of parallel universes -- may be termed of as an extremely staggered tori-sector-range, to where this is related to what is termed of as the Gliossi-Sherk-Olive-Theorem.  Under the just mentioned multiplicit Ward-Caucy conditions, each layer of of reality, or, in other words, each tori-sector-range of each individual set of parallel universes, is intricately woven into the general fabric-based boundary conditions of all of the other parallel universes of a given arbitrary set of parallel universes, in so as to work at forming an inter-relationship of all of the layers of reality of one given arbitrary set of parallel universes, in retrospect to one another -- in an interdependently respective eminent manner.  The general condition of those directly applicable ghost anomalies -- as well as their directly associated cohomological-based projections -- as being formed as the multiplicit mappable tracing of the physical memory of the correlative superstrings of discrete energy permittivity -- is the basis of  what is formed of as a result of this genus of activity,  to where this works to form what are known of as Gliossi-Sherk-Olive ghosts.  The integration of such just-eluded-to ghost-based indices works to form those cohomologica-based entities that are directly related to the extrapolation as to the what, where, and how, those so-stated superstrings of discrete energy permittivity had kinematically differentiated, over a sequential series of group instantons.

Some Additional Help

When one given arbitrary relatively more variant-based substringular motion of superstrings strikes a riven arbitrary relatively more conformally invariant-based substringular motion of superstrings -- over a given arbitrary set sequential series of group instantons -- the so-stated more conformally invariant set of substringular phenomenology will tend to bear more of a potential to be displaced, than the so-stated more variant set of substringular phenomenology.  As this so-eluded-to set of conditions happens over time, the relatively more conformally invariant set of substringular phenomenology that I have just eluded to will tend to bear less of an overall overt basis of Lorentz-Four-Contraction, while, the relatively less conformally invariant set of substringular phenomenology that I have just eluded to will tend to bear more of an overall overt basis of Lorentz-Four-Contraction.

Part One of the Third Session of Course 18 -- The Ricci Scalar and the Kaeler Metric

Any given arbitrary set of superstrings of discrete energy permittivity, that are of one layer of reality -- that would here work to describe all of the superstrings that would then appertain directly to both one layer of reality, that would thus exist, as well, to where this here is  being of the same set of parallel universes --, when one also considers their directly corresponding counterstrings, and their correlative Fadeev-Popov-Trace eigenstates -- that are inextricably bound to their correlative light-cone-gauge eigenstates --, tends to kinematically differentiate, over time, within a realm, that may be physically described of as the Ward-Caucy bounds of their directly associated tori-sector-range.  There then tends to be, when one bases this description as to what I mean by of as a tori-sector-range, as many layers of reality, or tori-sector-ranges, in any of the three respective sets of parallel universes that one may here work to consider, in any given arbitrary case, as there are tenses of reality that differ to at least some sort of extent, from within whatever set of universes that one may directly consider -- in the just-eluded-to genus of an extrapolatory consideration.  There are initially 159,000 layers of reality from within the Ward-Caucy bounds of any specificallly considered set of parallel universes -- from before any fraying of space-time-fabric had started to occur -- before any of the damage that was due to any black-hole had worked upon the here eluded-to set of parallel universes, that one may here be considering, under any given arbitrary extrapolation as to the number of tori-sector-ranges that would then exist at the so-eluded-to genus of consideration.  This is all for now!!! To be continued!  Sam.

Part Eight of the Second Session of Course 18

The tendency that for every holomorphically translated superstring that is subtended from a substringular encoder, there is a relatively antiholomorphically translated superstring that is subtended from a substringular encoder.  This works to elude to the condition that for every holomorphically-based substringular encoder, there is an antiholomorphically-based substringular encoder.   This here, then, likewise, works to elude to the tendency of the condition that, for every holomorphically translated substringular counterpart that is subtended from a substringular encoder, there is a relatively antiholomorphically translated substringular counterpart.  This same general type of principle may be used to describe the basic holomorphic-based tendencies of the nature of the directly correponding Fadeev-Popov-Trace eigenstates -- as well as the condition that this may be used to describe the holomorphic-based tendencies of the nature of the directly corresponding light-cone-gauge eigenstates.  Such a general genus of tendency, as an ansantz, is due to the condition that superstrings of discrete energy permittivity are directly homotopically tied in to both their correlative counterparts, their correlative Fadeev-Popov-Trace eigensates, as well as their correlative light-cone-gauge eigenstates.  Such a general tendency of the holomoprhic-based behavior of the phenomenology that works to comprise discrete energy, is related to what is known of as the Campbell-Baker-Hausendorf Theorem.  This works to elude to the tendency of the condition, that, for every forward-time-bearing-momenta eigenstate, there is a backward-time-bearing-momenta eigenstate.  I will continue with the third session of this course later!  To Be Continued!  Sam.