Manner of Norm-Projection Slide

Let us consider a situation in which there are two norm-state-projections that are to here strike, in the shape of a cross.  Let us say, here, that both of these types of norm-state-projections of this given arbitrary case are Hausendorf-Projections.  Let us here initially think in terms of two of such types of the so-stated norm-projections -- in which the concavity of the end-points of such a tense of  phenomenology, that are each here brought together by their respective subtensions of mini-stringular segmentation -- works to bear a condition to where the relatively horizontal-based of such projections, that is moving in a cross-product-based manner, moves through its Lagrangian in such a manner in so that the end-points of what would here act as basically the equivalence of the holonomic substrate of an x axial, would bear the said concavity in which the so-eluded-to phenomenology that works to comprise the said end-points are then here curving away from each other in a non-time-orientable manner.  Now, think in terms of the relative holomorphic direction of the one of such so-stated norm-state-projections, when in covariance with the relative holomorphic direction of the other of such so-stated norm-state-projections -- each of which would here work to bear a tense of a relatively antiholomorphic directoral wave-tug/wave-pull, when one will here consider the Hamiltonian drive of the first of such projections in retrospect to the other.  Let us now call the covariant-mode of the motion of such an implied tense of a Gliossi-based interaction, as in the inward or z to negative z based directorial-based pull (k hat).Then, the tendency of the manner of the resultant torsional-based sliding for the previously mentioned holonomic substrate that would here act as the equivalence of an x axial, would then here work to bear a wave-tug/wave-pull that would tend to be more inclined to veer the so-stated norm-based projections -- to what may be here viewed of as the relative right or the relative left -- or, in what may be here thought of as ether in the x or in the negative x direction (i hat) -- when this is compared to if the horizontally displaced projection that is here moving in either the z or negative z direction were to, instead, bear such an end-point concavity that would angle towards each other.   Now, if instead, the curvature of the concavity of the end-points of the what would here act as basically the equivalence of the holonomic substrate of an x axial, which would here be of the two of such just eluded-to Hausendorf-Projections, is to curve inward, then, the resultant torsional-based sliding would then here work to tend to bear a wave-tug/wave-pull that would be more inclined to veer the so-stated norm-based projections to what may be here viewed of as the relative up or the relative down -- or, in either what may be here thought of as in the relative y or negative y direction (j hat)  -- when this is compared to if these were to instead to bear such an end-point concavity that would angle away from each other.  I will continue with the suspense later!
Sam Roach.

As To Scalar Magnitude of Certain Hamiltonians

When one norm-state-projection strikes another norm-state-projection, the resultant activity that happens on account of the said interaction, is based upon the scalar magnitude of the overall fractal of substringular momenta-based indices -- as this so-stated resultant is based upon the overall interaction of the directly corresponding Hamiltonian operations, these of which would here work to interplay in such a given arbitrary case of retrospection.  Here, let us now consider a certain general given arbitrary case of one relatively reverse-holomorphic norm-state-projection, that is to be extrapolated as annharmonically striking a forwawrd-holomorphic norm-state-projection -- as one set unique metric, that would here locally work to form a partial derivative of a Rayleigh-based scattering, that would, when such a so-eluded-to reverse-derivative of an anharmonic scattering of a ghost anomaly is to happen, work to break down one tense of substringular cohomological index at one respective given arbitrary locus -- where a ghost-based index had previously been formed, over the course of a previous Reimman scattering that had initially worked to form the initial said ghost anomaly.  Let us say, here, that the two approaching norm-state-projections that are to here soon collide, bear a trivially exterial abelian wave-tug/wave-pull, that would be otherwise adding a tense of what may be considered here as an unwanted substringular pulse.  So, then here, the only initial factors that one may thence potentially work to be able to extrapolate -- as the considerations that would here work to determine the resultant action that would result from the collision of the two so-stated assymetrically flowing norm-state-projections, would be the following:  1)The immediate lengths of the covariant gauge-action of the norm-state-projections.  2)  The spots at which the two covariant-based norm-state-projections are to strike in a Gliossi-based manner.  3)  The covariant-based angle of Gliossi-based contact.
4)  The Hodge-Index as to the quantity of a given arbitrary set number of cross-sections of mini-stringular segmentations that are to strike each other, when this is taken per unit Ward-Caucy-based region of Yakawa-based covariant-based interaction, per inter-related group instanton.
5)  The covariant-based inter-related angle of the covariant-based angle of Gliossi-based contact.
6)  Whether the contact is Noether or not.  If not, both the manner and the degree of the correlative tachyonic propulsion that is to be here considered.  7)  The means and the manner of the Lagrangian, in so as to bear the extrapolatable directorals.  8)  The covariant manner of both the transversal and the radial manner of approach.  9)  The type of norm-state-projections that are involved -- and, the specific Ward-Caucy-based conditions that would then here work to describe the manner as to how these directly corresponding norm-state-projections are geometrically designed as.
10)  The shape of the phenomenologies of the so-eluded-to norm-state-projections, that are directly involved with that Gliossi-based contact of which would then here relate to the here discussed general manner of such an extrapolatable collision.  Based upon these conditions, and potentially more, this type of extrapolation may be able to help in working to determine a ground-work in so as to the resultant of the collision of two antiholomorphically colliding norm-state-projections, such a collision in this case of which would then here work to annharmonically scatter a ghost anomaly or a cohomological index -- via a respective given arbitrary Rayleigh scattering, in so as to make room for the further activity of the motion of discrete energy.  To Be Continued!  Sam.

As To The Nature of the Scattering of Ghost Anomalies

When certain given arbitrary relatively reverse-holomorphic norm-based projections act in so as to strike certain loci of cohomological-based-indices, or ghost anomalies, in a Gliossi manner -- in so that the part of the said relative reverse-holomorphic norm-projections that tend to act in so as to hit the here respective ghost-based indices -- that have been eluded-to here, are the subtended mini-stringular segmentation that  would exist here in-between the respective first-ordered point particles, that work to comprise those relatively forward-holomorphic norm-state projections -- these latter mentioned projections of which to make-up the holonomic substrate of the so-stated ghost anomalies or cohomological-based indices.  When that part of the entity of a static-based norm-state-projection -- that works to form the composition of a ghost anomaly -- that is hit by a relatively reverse-holomorphic norm-state-projection, is struck both by mini-stringular segmentation, and, at a certain general locus of its own holonomic substrate of mini-stringualr segmentation, then, the entity of the cohomological-based index -- in the form of that norm-state-projection that is here hit by a relatively reverse-holomorphic norm-state-projection -- will be torsioned in such a manner, in so that it will tend to slide in at least one tense of either a norm-to-forward-holomorphic direction or in a norm-to-reverse-holomorphic direction, away from the directoral-based Hamiltonian flow of the incoming so-stated relatively reverse-holomorphic norm-state-projection, that had here struck at the general field of a here relatively forward-holomorphic norm-state projection -- this of which had initially worked to form an index of a ghost-based cohomological structure. If, instead, the holonomic substrate of the first-ordered point particle eigenbase of one relatively reverse-holomorphic norm-state-projection -- that functions to form a Rayleigh scattering of a ghost anomaly -- works to strike the holonomic substrate of the first-ordered point particle eigenbase of one relatively forward-holomorphic norm-state-projection, that had functioned in so as to form a Reimman scattering that had initially formed the here eluded-to ghost anomaly -- the scalar amplitude of the Hamiltonian-based multiplets that would thence be formed will then tend to be higher, than if, instead, the holonomic substrate of the respective mini-stringular segmentation were to be what had collided, in this case. The Hodge-Index that is related to the density of the mini-stringular structure -- in the form of how many of certain cross-sections of mini-string segmentation per general locus are being struck, by how many of certain respective cross-sections of mini-string segmentation, per general locus, in the opposite general direction, is the general idea as to how to work to determine the resultant effect of the collision of one cohomological index by one ghost-based inhibitor.  This is based upon the condition that first-ordered point particles are formed by a balling together of mini-stringular segmentation. To Be Continued!!! Sam Roach.

Part Two of Session Ten of Course 18, the Ricci Scalar and Kaeler Differentiation

Now, let us consider the Ward-Caucy physical boundary conditions of the dimensionality of one given arbitrary electron -- that is, in the process, orbiting the nucleus of one directly corresponding given arbitrary atom.  The so-stated electron is constantly moving along -- accerllerating around the center of the here respective atom, by both moving along the elliptical Hamiltonian-based path of trajectory of its orbital coniaxial, and, by bearing a tense of a spin-based nature, as well, that is, at this latter based premise, at the Poincaire level of the topological surface of the directly corresponding holonomic substrate, that works to form the Ward-Neumman bounds of that orbifold eigenset that works to form the said electron of this given case scenario.  An electron exists in a minimum of six spatial dimensions plus time -- even in any minimal Fourier-based translation of the integrable Hodge-based indices, these of which work to make-up any respective given arbitrary electron. The Fourier-based translation of an electron happens -- through any delineatory eigenbase of group-related metric, in which the so-stated electron is being redistributed as a kinematic relative group attractor eigenset of superstrings, that move both transversally, radially, and spin-orbit-wise, over a sequential series of instantons.  This six spatially dimension-based field is called a D-field.  the genus of the Calabi-Yau manifold that an electron exists in is known of as a D-manifold, or, a D-brane.  The two additional spatial dimensions, that exist with electrons -- that do not intrinsically exist with nucleons, are two added stretched-out spatial dimensions.  The spin-orbital/radial complex of any respective given arbitrary electron -- that is being delineated and redelineated over time -- works to bear an even function of redistribution function, -- the operation of such a function, of which works to bear the so-eluded-to Fourier-based translation of the codeterminable integrated sum of those eigenmembers that work to comprise the said electron, in such a manner in so that the constant re-directoralization-based perturbation of the Hamiltonian-based angular momenta indices are thence pulled along -- in a manner that will here work to make an electron act as the eigenbase of the translation that here exists between discrete mass, discrete electromagnetic energy, and discrete kinetic energy.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

Part 5 of An Aside to Differential Operators

When any given arbitrary substringular array is pulled equally between two axials, in the course of travelling throughout a unitary Minkowski-based Lagrangian, the manner of determining the appropriate extrapolation of the directly affiliated multiplets that are thence formed by the differential operation of the so-stated substringular array's motion through the so-eluded-t unit slope, is based upon the usage of the Slater Equation.  As an aside, the unit slope is based upon a 45 degree slope that is subtended equally between an arbitrary "x axis" and an arbitrary "y axis."  Now, let us say, instead, that one had a tense of a substringular phenomenology that was of a unitary Lagrangian that was subtended equally between one coniaxion and another coniaxion -- to where the angling that was directly involved with the motion of the so-stated substringular array, in the process of traveling through its pulsation of the Lagrangian of its directly corresponding Hamiltonian operand, was of a 45 degree-based geometric nature.  The resultant tense of the coefficient that is to be multiplied by the initial multiplet, in order to get the actual scalar amplitude of the wanted multiplet -- will here be based on the cosine or the sine of 45 degrees, or, 1/(the square-root of two).  This is if the destination of the so-eluded-to substringular array is at a parabollic-based end-point -- that is circled around the conicenter of the overall binary coniaxion, of this given arbitrary case scenario.  At the so-stated endpoint, the so-stated substringular array will tend to interact with a viable holonomic substrate, that works to bear a significant topological surface that is homotopically sound, in a Gliossi-based manner.  Likewise, from each individual Basis of Light, from the overall Bases of Light, this will, during the duration that is directly related to the "space-hole," cause the activity of the so-eluded-to traversing along the mappable tracing of the said Lagrangian, to work to incorporate a superstringular eigenbase -- for the correlative phenomenology that will here soon ensue to form superstrings of discrete energy permittivity -- to where a coniaxion-based center-state -- that will here work to involve the correlative eigenbase for the superstrings that are to be directly affiliated with that layer of reality that would here directly correspond to the layer of reality that is for each of the correlative Bases of Light that is not predominant -- if this is initially being in the same side of the dual-based world-tube, during the said duration that is here appertaining directly to the metric that is involved with the space-hole, or, if instead, the correlative eigenbase of superstrings of discrete energy permittiivity are of what is here the given arbitrary predominant layer of reality,  the majorization of the so-eluded-to eigenbase of what are to become superstrings of discrete energy permittivity are, during the "space-hole," located immediately in the cross-sectional part of  the dual world-tube construction of the same time-based eigenbase --that is of the same set of parallel universes.  To make things clearer, the predominant eigenbase of superstrings, in terms of the same layer of reality, will be located at the outer permutation of the same time-based dual-associated world-tube of the same set of parallel universes -- immediately to the cross-product-based locus, that is here just to the  exterior of the general center-state of its dual world-sheet of the same Basis of Light.

Part Four of An Aside To Differential Operators

During the Ward-Caucy conditionalities that would here directly appertain to what I term of here as the Bases of Light -- the more relatively norm-based projections of such a case, these of which act as that phenomenology that is to ensue as becoming that multiplicitly holonomic substrate-based entity of the "figure-eight" structures that will follow as working to comprise those Fadeev-Popov-Trace eigenstates, that act as discrete units of energy impedance --will operate as working to construct the holonomic substrate of the "figure-eight" structures of each individually taken respective Basis of Light, -- per each respectively taken layer of reality.  Furthermore, during the same said Ward-Caucy conditionalities, that would here directly appertain to what I term of here as the Bases of Light -- the relatively ground-based projections of such a case, these of which act as that phenomenology that is to ensue as becoming that holonomic substrate-based entity of the "Chi-shaped" structures -- that will follow as working to comprise those Fadeev-Popov-Trace eigenstates that act as discrete units of energy impedance, will operate as working to construct the holonomic substrate of the "Chi-shaped" structures of each individually taken respective Basis of Light, -- per each respectively taken layer of reality.  Thereupon, the Gliossi-based interaction of the "dominoe-efffect" of that general genus of activity that happens when the "space-hole" works to make its molding of reconnections of homotopy -- right after such minor readjustments of homotopic interconnections are topologically re-formed, the so-stated "figure-eight" shape of such respective Basis of Light, and, the correlative "Chi-shape" of each respective Basis of Light, reties -- in so as to provide one of such eluded-to "mini-traces" to be designated to each superstring of energy permittivity, as the discrete units of energy are readjusted to their ensuing delineatory-based positionings -- for the respective ensuing iteration of group instanton.  This includes the retying of each of such "figure-eight" shape of each respective Basis of Light, in so as  to form basically countless "figure-eights" for the respective multiplicitly inferred partial derivative that works to comprise the ensuing Fadeev-Popov-Trace eigenstates, and, the retying of each of such "Chi-shape" of each respective Basis of Light, in so as to form basically countless "Chi-shapes" for the respective multiplicit inferred partial derivatives that work to comprise the ensuing Fadeev-Popov-Trace eigenstates.

Part Three of An Aside To Differential Operators

During that Njenhuis metric that happens during the "space-hole" -- during which metric the Bases of Light are majorized -- the multiplicit activities of the variation of those partitions that are to bear influence upon certain of those conditions that are as to the Lorentz-Four-Contractions of the superstrings of discrete energy permittiivty, that are to be formed and reiterated as increments of discrete energy, during the ensuing group instanton -- which are thence put into operation, the scrambling and the descrambling of that phenomenology that is to make-up the multiplicit holonomic substrate of the so-stated partitions, works to bear a "parallelopiped-tug" upon its directly affiliated mini-stringular segmentation -- due to the Njenhuis wave residue that had been brought here into the substringular neighborhoods of the homotopic-based perturbative scenario of such a case -- in so as to help to work towards forming a general multiplicit twist of the Minkowski-based Mobiaty of the substringular-based fabric, into bearing an overall Hilbert or volume-based tense of the correlative and respective abelian and non-abelian-based geometries of the substringular.  So, as the fractal of pressurized vacuum -- that is directly affiliated with what I term of as the "space-hole" -- is pulled in so as to reorganize the multiplicit homotopy of the substringular fields, that are to here reform into a condition of optimum Gaussian-based rest, there is a resultant multiplicit wave-pull/wave-tug that is applied to the Bases of Light, that works to pull these respective Bases into the multivarious Fadeev-Popov-Trace eigenstates -- that are to each bear a direct eigenbased relationship to each of their correlative superstrings of discrete energy permittivity, during the ensuing iteration of group instanton.  Once the eluded-to wave-pull/wave-tug that I have recently mentioned -- is in the process of bearing a Gliossi-based interaction with the respective Bases of Light, the ensuing instanton-quaternionic-field-impulse-mode is started -- of which brings the ensuing condition of each superstring of discrete energy permittivity, that is directly affiliated with each of their corresponding Fadeev-Popov-Trace eigenstates of discrete energy impedance, via their connection with the light-cone-gauge eigenstates of the Continuum, together -- as one overall unit of discrete energy.  The immediately previous Rarita Structure eigenstates, that would have been generated during the previous instantons, help work toward the fine-tuning of where multiplicit substringular phenomena is to be delineated -- in so as to to work to bear each of the needed respective individual superstrings of discrete energy permittivity to bear a direct correspondance to the needed correlative and respective Fadeev-Popov-Tracve eigenstates, that are here directly associated, per each successive iteration of instanton.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

Part Two to an Aside to Differential Operators

In a given arbitrary scenario that I am describing here, a generally set number of first-ordered point particles, that are directly corresponding to certain given superstrings of discrete energy permittivity, come together at the center state of each respective given arbitrary tori-sector-region -- during the general activity that is directly associated with the Bases of Light, that I have mentioned in my blog before.  (This is right before the general metric of the instanton-quaternionic-field-impulse-mode, during the generally unnoticed portion of the duration of Ultimon Flow.)  These points then get "picked-up" by what may here be termed of as constituent-force-sectors, or, mini-stringular segmentation -- that tend to be in the "line of fire" of the so-stated center-of-state first-ordered point particles, these point particles of which here are directly associated with superstrings that will soon iterate again at the ensuing generally noticed portion of Ultimon Flow -- this generally noticed duration, being the iteration of group instanton.  Once the duration that I term of as the Bases of Light happens (during the "space-hole")  --  in so as to allow for the re-grouping of both the multiplicit array of Fadeev-Popov-Trace eigenstates and the multiplicit array of superstringular phenomenology of discrete energy permittivity to happen, and, in so as to allow for those minor alterations of homotopy to be redelineated, so that the processes of Gaussian Transformations are to be able to happen spontaneously -- the instanton-quaterionin-field-impulse-mode happens, in order for the respective organizations and delineations of superstrings of discrete energy permittivity, along with their correlative Fadeev-Popov-Trace eigenstates, to be able to go to the multiplicit loci where these are to iterate -- at their ensuing positionings of group instantons, so that the generally noticeable portion of instanton may be able to occur.  This is also so that the next frame of space-time-fabric may be able to be re-attained.  As well, every time that the multiplicit array of superstrings are reiterated, in the course of the constantly remolding of the superstringular conditions that must happen during each succeeding series of the increments of BRST, the relative velocity of each superstring will tend to alter in its mode, with respect to both the existence and the motion of electromagnetic energy.  As any given arbitrary superstring of mass is altered in its relationship to the velocity of electromagnetic energy, this will alter its affiliation with the local Lorentz-Four-Contractions, that are locally primed in this respective given arbitrary scenario.  As the Lorentz-Four-Contractions that are here directly appertaining to one given arbitrary superstring of discrete energy permittivity are altered locally, both the degree of the contraction of the said given superstring is changed, and thus, the number of what I term of as partitions -- that are primal to the said superstring --is altered here, as well.  I apologize that I may have been a little unclear as to the relationship of this specific factor before, yet, the idea is a little bit clearer to me now.  Let us say that the bosonic superstring of mass of this case is Lorentz-Four-Contracted by a factor of 3*10^8.  It will then have both one "width-wise" partition and one "thickness-wise" partition, that is directly associated with this.  Now, let us say, instead, that the bosonic superstring of mass of this case that is Lorentz-Four-Contracted is terrestrial-wise stationary, to where the local Contraction is trivially one.  It will then have both 3*10^8 "width-wise" partitions and 3*10^8 "thickness-wise" partitions, that are directly associated with this.  In both cases, though, the conformal dimension of the said given respective superstring of this case will be two, because, both 1+2^(1/10^43) is basically two and 1+2^((3*10^8)/10^43) is basically two -- any number to the zero power is one, and, both 2^(1/10^43) and 2^((3*10^8)/10^43) are basically each respectively to the zero power, or, another words, one. The tricky part is, that what we perceive of as a Lorentz-Four-Contraction is actually the result of the inverse of the activity of the Polyakov Action eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

Part One to an Aside As To Differential Operators

Let us consider certain given arbitrary differential operators, that are based on the extrapolation of exact and linear associations of first-ordered point particles -- that are from within their substringular neighborhoods.  If the so-eluded-to point commutators work to form exact differential associations, in so as to work at making-up the holonomic substrate of superstrings of discrete energy permittivity, and in a Laplacian-based manner -- these tend to be at a minimal distance apart.  This is to where, at least, under the eluded-to premiss of this respective given arbitrary scenario, this situation calls for every three directly correlative first-ordered point particles -- that are here considered in one genera of holomorphic homotopic-based extrapolation,  that will here work to bear a genus of one set length.  If a differential association of such first-ordered point particles is then, indeed, here, of a linear-based nature (this is when such a consideration works to include the natural curvature of space-time-fabric), then, you may say to where one is to extrapolate a "straight" line from one end of the so-stated association -- to the other.  Yet, on account of the condition of space-time-curvature, the linearity of superstringular phenomena does not tend to be of a Wilson-based linearity. This is part of as to why superstrings bear at least some of what may be termed of here as "partitions", or, separations of space that exist from within the Ward-Neumman bounds of the multivarious superstrings, that are prominent on account of the condition just mentioned -- that space-time-curvature is needed in order for gravity to exist in any manner at all.  These partitions also work to cause the condition, that the conformal dimension of any given arbitrary one-dimensional superstring of discrete energy permittivity -- for all practical purposes -- is exactly one, yet, it is not literally exactly one. -- This works to enfold the condition that there is not any perfectly flat subtension of linearity, that has no topological sway in both its side-to-side and in its to-and-fro.  Also, these partitions work to cause the condition that the conformal dimension of any given arbitrary two-dimensional superstring of discrete energy permittivity -- for all practical purposese -- is exactly two, yet, it is not literally exactly two. -- Again, this works to enfold the condition that there is no perfect flat subtension of linearity, that has no topological sway in both its side-to-side and in its to-and-fro.  These so-called "partitions" also work to cause the activity of the manner of topologicl sway, that is inherent in the nature of superstrings, as these said strings undergo the multiplicit conditions of Lorentz-Four-Contractions. -- The higher the contraction, the lower the number of inherent partitions, the more of a tendency of the nature of both the linearity in the correlative one-dimensional superstrings and the smooth-curvedness in the correlative two-dimensional superstrings.  The lower the contraction, the higher the number of inherent partitions, the less of a tendency of the nature of both the linearity in the correlative one-dimensional superstrings and the smooth-curvedness in the correlative two-dimensional superstrings. To Be Continued!  I will continue with the suspense later!  Sam Roach.

A Little Explanation As To the Morphologies

What I mean by the condition that Neilson-Kollosh ghosts bear a "hyperbolically toroidal" shape or morphology, is that the toroidal-based nature of the ghost anomalies that work to comprise any given arbitrary Neilson-Kolosh cohomological-based set of indices, tends to slope either hyperbolically inward -- in a converging genus of mappable tracing -- or, these often may slope hyperbollically outward -- in a diverging genus of mappable tracing, as such a format or genus of a set of cohomological-based indices, that work to comprise any respective given arbitrary Neilson-Kollosh ghost anomaly, that may be traced in a mappable manner, through any given arbitrary Lagrangian-based path -- that the directly corresponding graviton or gravitino, that such a case scenario eludes to -- as such a respective given arbitrary graviton or gravitino is being propagated through, over time.  So, if one is dealing specifically with the Lagrangian-based path of a graviton -- the respective directly corresponding ghost anomaly that works to form the correlative set of cohomological-based indices -- will be formed in so as to make a mappable tracing of simply a given arbitrary toroidal-based configuration, that is either hyperbolically converging or hyperbollically diverging, that is homotopically Hilbert or volume-spaced, with an annulus --  throughout that region in whih such a ghost anomaly is formed, by the physical memory of the mappable tracing of the projection of the trajectory of the directly corresponding graviton, of this given arbitrary case scenario.  Yet, if one is, instead, dealing with the Lagrangian-based path of a gravitino, the respective directly corresponding ghost anomaly that works to form the correlative set of cohomological-based indices -- will be formed, in so as to make a mappable tracing, that may be extrapolated as being the shape of the perimeter of a given arbitrary toroidal-based annulus of a configuration that is either hyperbolically Minkowski or flat-spaced, in either a relatively holomorphic-based converging manner or in a relatively holomorphic-based diverging manner -- throughout that region in which such a ghost anomaly is formed, by the physical memory of the mappable tracing of the projection of the trajectory of the directly corresponding gravitino of this given arbitrary case scenario.  The reason being -- that, any given arbitrary graviton works to bear more of a transversal-based angular Hamiltonian-based fractal of momentum in the substringular, whereas, any given arbitrary gravitino works to bear more of a radial-based Hamiltonian-based fractal of momentum in the substringular.  To Be Continued!  Sam.

Different Formats of Certain Ghost Anomalies

Initially, as I have mentioned before, the ghost anomalies or the  cohomological-based indices, that are formed by the mappable tracings of two-dimensional superstrings of discrete energy permittivity, tend to bear a relatively torroidal tense of morphology -- while, the ghost anomalies or the  cohomological-based indices that are formed by the mappable tracing of one-dimensional superstrings of discrete energy permittivity tend to bear a relatively conical tense of morphology.  So, Gliossi-Sherk-Olive ghosts tend to bear either a torroidal or a conical shape -- via the mappable tracings of their respective trajectory, over time.  Yet, the shape of a Neilson-Kollosh ghost takes a little bit more of an explanation to tell here.  In general, the shape or the morphology of a Neilson-Kollosh cohomological-based mappable tracing (one eigenset of the directly inferred general genus of such indices) will either tend to be the shape of an annulus of either  a converging or a diverging hyperbolically-shaped toroid, or, the shape of a Neilson-Kollosh ghost may often, instead, be of the outer perimeter of the Ward-Neumman bounds of the respective shape of an annulus of either a converging or a diverging hyperbolically-shaped toroid.
I will continue with the suspense later!  Sincerely, Sam Roach.

More As To The Scattering Of Substringular Phenomenology

When one is to here consider that general format of activity that happens in-between those sub-Hamiltonian-based operations that happen from right after group instanton, up until the metric that I have previously mentioned of as the Bases Of Light, this general genus of group metrical activity that is to happen here -- during the generally unnoticed duration of Ultimon Flow -- may be viewed of as a kinematic-based annharmonic scattering, that is here a tense of a Njenhuis-based Rayleigh Scattering.  Yet, when one is to, instead, consider that general format of activity that happens, in so as to produce the organization of the metric-based operation itself, that may here be described of as the Bases Of Light, this genus of a harmonic ordering -- that happens over a very tiny metric of duration -- may be viewed of as a format of a Reimman Scattering.  So, when that organization -- that is directly related to those Ward-Caucy bounds that appertain to what I term of as the Bases Of Light, are temporarily annharmonically scattered -- in so as to allow for superstrings, their counterstrings, their respective Fadeev-Popov-Trace eigenstates, and their correlative light-cone-gauge eigenstates, to be re-delineated into the ensuing multiplicit loci that these are encoded to go to, over the course of their ensuing iteration of group instanton -- this general genus of of an annharmonic-based scattering that happens during the instanton-quaternionic-field-impulse-mode may be viewed of as a Njenhuis format of a Rayleigh scattering.  Once the condition of group instanton is reiterated in the substringular -- in so as to complete the metrical return to the ensuing sequence of the generally noticed part of Ultimon Flow, this general genus of a harmonic-based scattering -- that here acts as a re-grouping and a  re-ordering of substringular indices -- may be viewed of as a relative tense of a Njenhuis subtension of a Reimman-based Scattering.
These just mentioned general genus-based formats of scattering tenses are based on the metrical-based linkage that happens from one iteration of group instanton, to the ensuing iteration of group instanton.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

About the Recycling Of Ghost Anomalies

As I have stated before in certain past blog posts, ghost anomalies are formed by the harmonic scattering of relatively forward-holomorphic norm-state projections -- via a certain format or genus of a Reimman scattering, while, ghost anomalies are vanquished by the annharmonic scattering of relatively reverse-holomorphic norm-state projections -- via a certain format or genus of a Rayleigh scattering.  When Gliossi-Sherk-Olive cohomological indices are annharmonically scattered, the initial residue of such a format of a Rayleigh scattering is subsequently brought out of the relative Real Reimmanian Plane -- into the relative Njenhuis Plane, in so as to work to form the basis of the point commutative template for the ensuing formation of Neilson-Kollosh ghosts.  Once the said residue of the annharmonically scattered Gliossi-Sherk-Olive ghosts is brought into the so-stated relatively Njenhuis Plane, the dilatons and dilatinos thus formed work to form gravitons and gravitinos, respectively.  The relatively forward-holomorphic norm-state projections that are then harmonically scattered by the said gravitons and gravitinos -- via the just eluded-to Reimman-based scattering, works to then form what may be termed of as Neilson-Kollosh ghosts.  Once that the so-stated Neilson-Kollosh ghosts are formed, there will eventually be the activity of certain relatively reverse-holomorphic norm-state projections in the said Njenhuis Plane, that work to annharmonically scatter the initial said Neilson-Kollosh ghosts via another genus of a Rayleigh scattering -- that causes the residue thus formed to be transferred into the prior mentioned initial relatively Real Reimmanian Plane.  The resultant initial existence of that residue of annihilated cohomological indices, that are here initiated from the Njenhuis Plane into the initially stated Real Reimmanian Plane, is of the nature of norm-state projections.  The holonomic substrate-based spatial entities that work to pull the residue of broken-down ghost anomalies into either the respective relative Njenhuis Plane or the respective Real Reimmanian Plane, are a genus of group attractor-based matrices.   The holonomic substrate-based spatial entities that work to pull the residue of broken-down ghost anomalies away from either the respective relative Real Reimmanian-based Plane or the respective relative Njenhuis Plane may be termed of as ghost inhibitor-based matrices.  I will continue with the suspense later!  Sam Roach.

Simply As To Orthogonal

Let us take into consideration two different respective given arbitrary adjacent superstrings of discrete energy permittivity, that are to here iterate over the same group metric -- during one individually taken specific duration of group-related instanton.  Let us here consider the immediate field of both of the said superstrings -- as may be here considered at the Poincaire level of the immediate surroundings of both of the so-stated superstrings, during the said given arbitrary metric of group instanton that is to be conceived of here.  Now, take the eigenbase of both of the respective given arbitrary individually so-stated fields of both of the so-stated individual given arbitrary so-stated superstrings of this case scenario, as a set curvature, that will here either be a strand when in consideration of a one-dimensional superstring, or, a closed-loop when in consideration of a two-dimensional superstring -- when this is taken as two respective individually considered unitary entities of holonomic substrate.  If the so-stated two respective adjacent superstrings that I have just mentioned here are to bear such a covariant eigenbase, in relation to the duality of the codifferentiability that were to exist between their immediately individually taken fields -- to where the partial of the  eigenbase of one of such superstrings of this duality is orthogonal to  the other partial of the eigenbase of the other of such superstrings of this case, with a covariant wobble that is of 1.104735878*10^(-81)i degrees, the one relative to the other, then, this will work to help determine the Ward-Caucy condition that both of these said superstrings are here, over the course of such a respective given arbitrary instanton, of the same universal setting.

To The Effect of Mostly Empty Space

When one is to think of phenomenology that is most tangible to our general framework of reality -- phenomena of mass, such as a chair, a desk, or a book -- one is to probably think of the basic concept of a mass, or, a thing that one is able to touch.  Initially, if one were to not have a scientific background, one would probably think that the phenomenology of mass that we were just mentioning were to be without a lot of empty space.  Yet, when one is to study the rudiments of science,  one will then shortly learn that mass is actually mostly empty space -- molecules are mostly empty space, the atoms that work to comprise the said molecules are mostly empty space, etcetera.  Yet, if one is to think of the concept that we, as humans, are only able to only tend to perceive of those basic phenomena that are comprised by the substringular aspects of those fundamental conditions of phenomenology -- that are of our own universe -- out of the overall multiverse -- then, the degree and the manner as to that amount of phenomenology that we normally perceive of that is mostly empty space is not as sparsely set, as a condition of being empty space, as we would initially conceive it as -- from the time that we initially learn about basic science until we were to learn of this latter mentioned concept.  Phenomenology of our universe work to consist of superstrings that are pertinent to us, that are pretty much exactly orthogonal to each other -- when these are adjacent.  Superstrings that are adjacent that are Not exactly orthogonal, with a covariant wobble of 1.104735878*10^(-81)i degrees -- relative to each other, are not of the same Gaussian-based format, and, are thus not of the same universe.  Superstrings that are not of the same universe are not necessarily directly viable to each other, and thus, may not seem as real to the immediate extrapolation of an observer -- upon an initial attempt at extrapolation.  Please see my other writings.  To Be Continued!  Sam Roach.

Part One of the Tenth Session of Course 18

The nucleus of an atom exists in a set of one or more Calabi-Yau manifolds -- one per each respective nucleon --  that may be described of as a set of one or more respective F-fields.  This just mentioned manifold-based nature here may be described of as a tense of membranous phenomenology -- of which may be considered here as a group of one or more membranes that are made-up of one or more respective orbifold eigensets, that may be thought of as being comprised of what are here termed of as F-branes, or, F-fields, that would here work to comprise a membranous holonomic substrate of the phenomenology that would here work to make-up the specific unique Calabi-Yau-based manifolds -- of which would here, in part, describe the Ward-Neumman dimensional composition of the Laplacian-based differential geometry of the physical make-up of the Majorana-Weyl-based static conditionality of the so-stated nucleons of this here given arbitrary case scenario.  Sub-atomic particles that would here work to involve physical particles, that at a metrical condition of being at relative rest, are intrinsically codeterminable and codifferentiable in a manner that is compliant in a conformally invariant static equilibrium-based tense, in a minimum of four spatial dimensions plus time, over that sequential series of instantons in which the said nucleons -- of which are present in the so-eluded-to nucleus of one unique respective given arbitrary atom, are in the said given eluded-to tense of a general topological sway, that is conformally invariant at a steady-state-based set locus of substringular neighborhood.   This works to bear a relative rest energy, that is relatively non-perturbative in covariant retrospect to the codeterminable activity of the surrounding electrons, of the said directly related atom -- to where the so-stated topological vibrational oscillations of the so-stated F-branes will here then work to form both a covariant and a codifferentiable parity, and a covariant and a codifferentiable chirality -- of both its radial and its spin-orbital orbifold eigenset-based eigenindices, that work to counterbalance the multivarious fluctuations of those individual superstrings, that work to form the said orbifold eigensets that comprise each individual eluded-to nucleus of the so-eluded-to given arbitrary atom, in such a manner in so that the transversel Hamiltonian-based operations of each of the so-stated nucleons will then here remain at a steady-state.  Such a condition of a steady-state set of Calabi-Yau manifolds will then work to bear a tense of conformal invariance of overall Lagrangian-based motion, that will then bear an odd function of delineatory translation -- to where the so-eluded-to nucleons will then not move transverselly in any spontaneous covariant manner, relative to their immediate environment, to where the relative statics of their Majorana-Weyl-Invariant eigenbasis of the said substringular locus will remain stable as such, but may only bear a minimal eigenbasis of either a vibrational and/or an oscillatory-based perturbative cycle, as may be bearing only in either a spin-orbital and/or a radial-based transmittance that is Yakawa to its immediate environment in a directly corresponding manner.
To be continued!  I will continue with the suspense later!  Sam Roach.

Approaching Hyperbollic-Based Cohomological Indices

Let us here consider a situation in which one had two individually taken respective trivially isomorphic hyperbollic propagating cohomological indices, that are initially approaching each other -- in a tangential-based manner -- with the differentially geometric Ward-Neumman bearings of a conicentral-based coniaxion, that is to here be a Laplacian-based codeterminable axial-based centrally divisible region, in which one is to here consider the here so-eluded-to covariant codifferentiable Fourier-based ensuing collision of the two just mentioned propagating cohomological indices of this respective given arbitrary case scenario.  There is one superstring of discrete energy permittivity that is basically assymptotic to a superconformally invariant Majorana-Weyl-based coniaxion, except, at a relatively far-off distance from the said superstring's initial approach, the ghost-based cohomological pattern of the physical memory of the said superstring is to reach the said coniaxion, and this so-eluded-to superstring is to then continue, in a relatively straight and thus supplemental manner -- along the virtually Wilson-based linearity of the just-eluded-to unitary-based Lagrangian path, that acts as the Hamiltonian operand of the activity of the said initial superstring of this case.  At the opposite side of the coniaxial-based assymptote of this case, there will, as well, be a trivially isomorphic-based superstring, that is to also approach the said coniaxion in a tangential mannner as well -- in so as to reach the relatively tangential Lagrangian-based relatively very linear Hamiltonian operand, as to the functionablity of the operation of this second mentioned superstring, as well, at a relatively far-off distance from the initial cite of the propagation of the second said propagating superstring.  This would thereby make the two so-stated hyperbollic paths of the two said relatively assymptotic cohomological indices, that bear the said approach of the two said superstrings of discrete energy permittivity -- act as the two so-stated trivially ismometric cohological-based Hamiltonian operators -- that reach the so-eluded-to central coniaxion, in such a manner in so that these two theoretically formed unitary operating Lagrangian-based Hamiltonian operators will here work to form a dual unitary Hamiltonian operator-based cohomological index -- when one is to here consider the condition that the overall substringular-based momenta of the eluded-to dual state is to here maintain a pretty even keel at the supplemental-based linearity, that one may construe as the discrete path, that only tends to here diverge to the manner of the here natural curvature of the conformally invariant re-delineatory local considerations of the pertinent space-time-fabric that this so-stated dual state moves through, in a granular-based manner.  I will continue with the suspense later!  To Be Continued!  Sam.

Manner of Approach of Substringular Indices

When a set of superstringular indices work to approach any given arbitrary covariant-based set of orbifold eigensets -- this set of orbifold eigensets of which work to form one unique conformally invariant holomorphic substrate of phenomenology, that exists as a set of Calabi-Yau manifolds that exist in a state of static equilibrium -- in such a manner in so that the so-eluded-to strike of the initially mentioned orbifold eigenindices (these eigenindices of which are individually quanatized superstrings of discrete energy permittivity) upon the second mentioned set of conformally invariant orbifold eigensets -- works to form a proximal-based approach that is of a differential geometric hyperbollic motion of both a codeterminable and a codifferentiable manner, then, the impact of the said initial set of superstrings upon the said second set of superstrings will bear a lower scalar magnitude of Hamiltonian-based operation than if the impact were, instead, based upon an approach that were to be of much more of a supplemental nature.  This is due in part to the condition that the cosine of a supplemental angle of one given arbitrary specific venue of delineatory index will bear a higher scalar magnitude than the cosine of a differential arrangement that is of a Cliffold-based nature, that is, instead here, of a comparatively more hyperbollic means of proximal-based Yakawa approach.  As an ansantz, the cosine of zero is one, and, the cotangent of 90 degreees is (0/1), or, 0.  This is, again as an ansantz, even though the so-stated supplemental-based approach is not actually exactly as a purely Wilson linearity, and, even though the so-stated hyperbollic-based approach that I have here mentioned is not literally of a purely tangential-based nature -- since the first case involves a natural curvature of space and time, and, the second case involves at least a certain case of a Gliossi-based Yakawa Coupling.  So, here is a development of this here initial case in mind.  Let us say that one had one Reimman-based scattering that worked to here bear a relatively linear displacement of substringular eigenindices, while, in a respective second given arbitrary case, one had a Rayleigh-based scattering that worked to here involve a relatively Clifford Expansion of substringular eigenindices.  The so-stated Reimman scattering will bear a re-delineatory index that is basically fully affectual by the summed Hodge-Index of the immediately interacting superstrings of discrete energy permittivity, that are to bear a direct Yakawa Coupling with the second mentioned set of orbifold eigensets, while, the so-stated Rayleigh scattering will, instead, bear a re-delineatory index that is basically not fully affectual by the sum of those Hodge-based indices that may be directly interacting as superstrings of discrete energy permittivity, that are even able to bear at least some of a Yakawa Coupling with the second mentioned set of orbifold eigensets -- due to the simple fact that something that bears a direct hit and/or a direct eigenbase of torsioning will tend to bear more of an impact upon one respective given arbitrary phenomenon, than if that same initial source mentioned here were to instead bear a more indirect hit and/or a more indirect egienbase of torsioning upon the same second mentioned tense of phenomenology.  In these said specific cases, we are talking about the basic condition that, the more direct the means of contact that any one given arbitrary holonomic substrate is upon another second given arbitrary holonomic substrate, the more of an impact that the first entity will bear upon the second entity.  To Be Continued!  Sincerely, Sam Roach.

Last Part of Session NIne of Course 18

The light-cone-gauge is "plucked" by gauge-bosons in so as to form Schwinger-Indices.  The discrete vibrational oscillations that are formed by one specific unique gauge-boson that "plucks" one second-ordered light-cone-gauge eigenstate may here be termed of as one unique respective given arbitrary third-ordered Schwinger-Index.  The combined effect of all of the third-ordered Schwinger Indices that are here formed and then transmitted from the respective correlative light-cone-gauge eigenstate, upon the directly corresponding Rarita Structure eigenstate -- may be here considered to be metaphorical to a "tune" that helps to work to encode for one set of specific Gaussian-based conditions of the initially corresponding superstring -- whose correlative light-cone-gauge eigenstate had been the holonomic substrate that had acted as the template of such a so-stated "tune" -- to where both the so-eluded-to compilation of vibrational oscillations that would here work to form here, act as a wave-based commutation of the spin-orbital/radial/transversal supplemental norm-conditions of the discrete energy impedance, that is latent to the phenomenology-based existence of one discrete unit of entity-based energy, over the integration of the effect of the multiplicit Schwinger Index of space-time-fabric, that exist -- as these said indices are translated and re-translated over a sequential series of covariant group instantons. The multiplicit existence of gauge-bosons are brought into their correlative general locus of light-cone-gauge eigenstates, by the condition of their specific and unique tense of being available to those chords of mini-stringular segmentation -- that are attached to their iterative ensuing Hamiltonian-based operands -- via both the degree and the manner as to how the respective instanton-quaternionic-field-impulse pulls such said chord-like mini-stringular segmentation to the directly correlative general substringualr regions, that the directly prior discrete holonomic substrates of certain partial derivatives of the multiplicit activity of the overall Schwinger Index activitiy, that is along the Rarita Structure, had encoded for these to go -- as a general tense of wave functionability, that fluctuates in its specific locus and capacity per each succeeding iteration of successive group instanton.  As such a "symphony" of the propagation of third-ordered Schwinger Indices is played, this will work to encode for both the metrical activity and certain substringular distributional-based indices, in so as to help with both the timing and the differential-geometric manner of the opening of the ensuing inter-relations of the Main Heterotic Stringular Phenomenology, that are encountered by superstrings outside of the main substringular world-tubes, In-Between the individual iterations of the generally noticed durations of Ultimon Flow.

An Interaction of Campbell and Hausendorf Projections

As I have said before, a Campbell norm-state Projection is a holonomic substrate-based trajectory of substringular-based phenomenology, that consists of one respective given arbitrary first-ordered point particle that is connected to a round "plate" or disc of a composite of one or more layers of first-ordered point particles, that are interconnected by mini-stringular segmentation -- in a homotopic manner.  The respective given arbitrary said "plate" or disc of a composite of one or more layers of first-ordered point particles of any given unique case, that I have eluded-to here, tends to lead the so-stated Campbell norm-state Projection in the relative forward-holomorphic direction -- in the course of the kinematic translation of such a so-stated norm-state-projection, from one covariant-based locus to the next of such, over time.  Otherwise, the said general genus of such a projection would spontaneously collapse -- due to the condition that the "plate-like" phenomenology that works to help comprise the said genus of projection bears a significantly higher Hodge-Index of potential Hamiltonian-based operators, in the form of such a partial of the construction as bearing a significantly higher number of first-ordered point particles at the here inferred general Laplacian-based locus of the said genus of projection.  Furthermore, I have mentioned that what may be termed of as a Hausendorf Projection is comprised of two half-shell-like constructions of composites of first-ordered point particles that are distanced and interconnected by mini-stringular segmentation --  the so-stated individually taken half-shell-like constructions here being of a covariant basis of being of a relatively opposite nature of correlative concavity, via the vantage-point of extrapolating along the so-stated Hausendorf-norm-state-Projection in the relative holomorphic direction.  Now, if one were to have a circumstance to where one given arbitrary Campbell Projection were to bear a Gliossi-based pull upon one given arbitrary Hausendorf Projection in the relative holomorphic direction, to where the said Hausendorf Projection were to apply a Gliossi-based push upon either a superstring or a cohomological-based index, over time -- over one respective given arbitrary covariant-based group metric -- the interconnection between the plate-like end of the so-stated Campbell Projection would tend to bear a locus of holonomic substrate, where in which the so-eluded-to activity of the eluded-to binary norm-state-projection-based Hamiltonian operation, that would here involve a topological sway, would work to cause the said Hausendorf Projection to either sway, at its forward-holomorphicic end where it is then interacting in a Yakawa-based manner upon the said superstring or world-sheet, either in the relative reverse-norm-to-holomorphic direction (relative downward), or, in the relative forward-norm-to-holomorphic direction (relative upward).  This is because, for all intensive purposes, any given arbitrary norm-state-projection will not bear linearity that is of a Wilson-based linearity.  A plate or disc-like Gliossi-based contact will tend to bear relatively little slippage, yet, a perimeter of a half-shell-like Gliossi-based contact will tend to bear relatively more slippage.  So, if the push that is here made upon the said respective given arbitrary Hausendorf Projection of this case is at all topologically slanted upward, then, this will work to tend to pull the relatively holomorphic end of the said Hausendorf Projection downward, while, if, instead, the push that is made here upon the said respective given arbitrary  Hausendorf Projectiion of this case is at all topologically slanted downward, then, this will tend to work to pull the relatively holomorphic end of the said Hausendorf  Projection upward.
To Be Continued!  I will continue with the suspense later!  Sam Roach.

Part Two As To Rate of Approach of Proximal Indices

As I had left off before, the more that an orbifold eigenset moves quickly -- in the process of making a collision with another given arbitrary orbifold eigenset, the more likely that the scalar amplitude of the resultant Hamiltonian operation of the so-eluded-to substringular "momentum" will tend to be higher.  The higher that the scalar magnitude of the Hamiltonian operational index is for a collision --that would here exist as a respective given arbitrary Yakawa Coupling that would here work to form a Gliossi interaction between two interdependent sets of orbifold eigensets, the more likely that there will be a certain form or another of a torsioning that would then act upon the here given respective orbifold eigensets -- of which would move in the direction of loosening the Ward-Neumman interconnections that would exist in-between the so-stated orbifold eigensets.  This loosening of the interconnectivity that would here be existent among the Ward-Neumman bounds of the so-stated orbifold eigensets, and also among certain reverse-fractals of such orbifold eigensets, tends to be brought into the capacity of happening -- the faster that there is a rate of approach of the multiplicitly proximal superstringular indices, of which move toward an initially more stable set of orbifold eigensets.  This is due in part to the general manner of the homotopic tying and untying of covariant superstringular eigenindices that are brought toward each other, at a relatively increasing rate of Noether-based propagation.  The higher the rate of such a covariant propagation, that there is of one of such orbifold eigensets -- the one towards the other -- the more likely that there will be at least some form or genus of a torsion that would then potentially exist upon the said orbifold eigensets, of which will bear at least some of a tendency towards the untying of the interconnectivity of either some of the here directly pertanent orbifold eigensets, and/or involving at least some of a tendency towards the untying of the interconnectivity of a reverse-fractal of the manifold of the directly affiliated orbifold eigensets.  To Be Continued!  I will continue with the suspense later!  Sam Roach.

As to the Rate of Approach of Proximal Indices, Part One

When a phenomenon of mass, that is composed -- in this case -- of molecules, is struck by another phenomenon of mass that is, as well, composed of molecules, there is a collision that involves a resultant state of momenta-based indices.  The faster the collision of the directly previous case that I have just mentioned, the more that the scalar magnitude is of the resultant state of momenta-based indices is.  At a much lower level, the basis of momentum is the idea behind the conditions of Hamiltonian operations -- at the substringular level.  The velocity of a phenomenon of mass is based upon the manner in which the indices that work to comprise the said mass, are comprised of orbifold eigensets, that move in such a manner in so that any here given arbitrary mass will be able to approach the speed of light, as the process in which the correlative orbifold eigensets that work to comprise the so-stated mass move in such a manner to where the composite of such said eigensets will here work towards moving in more of a unitary Lagrangian in a Noether-based flow, that will move in this case as one set organized whole at once,  to where it will then here bear an optimum linear-based propagation, that will do this same general pattern of motion up until it at least is able to interact with at least some infrared photons along the way.  The closer that a mass is able to come to doing this format of activity, the closer that the said mass will come to going at the speed of light.  Yet, as I have said before, since a mass as a mass tends to be considered here as having both a Kaluza-Klein light-cone-gauge topology, and as also having Yau-Exact singularities, a mass, when being as such, is not actually able to go at the speed of light or faster - or else it would have all of the mass in the universe.  Yet, if the light-cone-gauge topology of the said mass were to temporarily be translated from having its initial Kaluza-Klein topology to having a Yang-Mills light-cone-gauge topology, while then re-converting back into having a Kaluza-Klein light-cone-gauge topology, then, the so-stated mass will have succeeded at being temporarily translated faster than light as a tachyonic genus of holonomic substrate.  This, though, does not discredit the fact that a vast majority of the speed that is allowed by a worm-hole is caused simply by the contoursioning of space-time-fabric -- since the space-time-continuum involves a granular eigenbase of curvature that is not actually straight.  When something is actually "straight" in the substringular, without the bearings of the normal curvature of time and space, this genus of linear conditionality is called a Wilson Line.  So, when a substringular phenomenon is pulled into the Ward-Neumman bounds of the core-field-density of another substringular phenomenon, the scalar magnitude of the Yakawa Coupling that this is resulted in is higher when the globally distinguishable rate of the here implied collision is high -- whether we are comparing two of such cases that are respectively of a Gliossi-based collision, or whether we are comparing two of such cases that are not Gliossi, but are of the same respective Yakawa-based index of Hamiltonian operation.  To Be Continued!  Sam.

Comparing Hausendorf Projections to Campbell-Hausendorf Projections

A Hausendorf Projection is comprised of two ends of phenomenology that I will soon describe, that are bound in a homotopic manner, via mini-stringular segmentation that works to interconnect the two said ends of the here directly affiliated holonomic substrate of this case scenario -- into a projection that acts as a Hamiltonian operator of a set of first-ordered point particles, that work upon superstrings of discrete energy permittivity, in so as to both help superstrings to commute and to work to form cohomologies out of the physical memories of the so-stated superstrings.  At the two so-stated ends of the said phenomenology of a Hausendorf Projection, there is -- at one of the given arbitrary said ends, the presence of one half-shell-like curved holonomic substrate that is a composite of a given arbitrary number of layers of first-ordered point particles -- that work to comprise the so-stated half-shell-like structure -- the concavity of such a half-shell-like construction working to bear one discrete holomorphicity of concavity, while, at the other given arbitrary said end, there is the presence of one half-shell-like curved holonomic substrate that is a composite of the so-stated half-shell-like structure -- the concavity of such a half-shell-like construction working to bear an asymmetry tense of its holomorphic eigenbase of concavity.  However, the difference between a Campbell-Hausendorf Projection and a Hausendorf Projection is the physical condition that one of the ends of the so-eluded-to projection is a lone first-ordered point particle instead of what would otherwise be the otherwise eluded-to half-shell-like construction.  So, the concavity of what tends to be the relatively holomorphic end of a Campbell-Hausendorf Projection may bear one of two options of holomorphic-oriented eigenbase of concavity.  So, to reach the main point of this discussion -- When a non-collapsing Hausendorf Projection operates in so as to bear a Yakawa Coupling with either a superstring of discrete energy permittivity or a world-sheet, in a Gliossi-based manner, the initial scalar magnitude of the Hamiltonian Hodge-index eigenbase will tend to be relatively higher than that of a Campbell--Hausendorf Projection that were to form such an otherwise similar Gliossi-based Yakawa Coupling -- on account of the added wave tug of the alterior so-stated half-shell-like composite that a Hausendorf Projection is in part comprised of in its Ward-Neumman construction, while, the duration of impact of a Campbell-Hausendorf Projection will tend to be longer in gauge-metrical duration -- on account of the condition that the alterior half-shell-like holonomic substrate that works to form a Hausendorf Projection will tend to pull-off the Gliossi-based interbinding of the said Projection from the respective either superstring or world-sheet that it had formed such a Yakawa Coupling with directly previously, in the substringular, and, the nature of the strand-like structure of that part of a Campbell-Hausendorf Projection that is to the relatively reverse-holomorphic end of the so-stated half-shell-like composite will tend to bear significantly less of a reverberation-based mode than that of a Hausendorf-Projection would.  This is if the genus of both their Lagrangian-based mode and the manner of their abelian geometry are conformally invariant, to the same Majorana-Weyl-Invariant-Index.  To Be Continued!  I will continue with the suspense later!  Sam Roach.

Manner of Norm-State-Projection Strike

The main difference between a Hausendorf norm-state-projection and a Campbell norm-state-projection is that the relative holomorphic-moving end of a Hausendorf projection is of some sort of a half-shell-like-shape, while the relative holomorphic-moving end of a Campbell projection is of a disc or plate-like shape. This works to form the condition, that, when a Hausendorf norm-state-projection works to strike either a superstring or a world-sheet -- over the course of a set sequential series of group-related instantons -- the activity of what may here be deemed in this given arbitrary scenario as the Gliossi-based contact of the said Hausnedorf projection upon the respective superstring or world-sheet, will tend to be of more of a sliding-based torsioning, while, the activity of what may be termed of her in this given arbitrary scenario as the Gliossi-based contact of, instead, a Campbell projection -- upon the respective superstring or world-sheet, will tend to be more of a pulse-based torsioning.  This is due to the innate characteristic as to the difference between the resultant activity of a physical phenomenon being struck by a relatively thin perimeter with a comparitively large annulus, when in comparison to the resultant activity of a physical phenomenon being struck by a plate-like structure that has no annulus.  When a point of contact has a physical composite that bears a shape that one may here describe as a thin perimeter that has a comparatively large annulus, is to directly touch another phenomenon that were to here act as a fret of a relatively taut phenomenology that has an optimum fractal modulus and an optimum elastic modulus, then, as an ansantz, the here direct genus of contact will tend to bear  here a slippage in the process of the kinematic inter-play of the two phenomena-based holonomic substrate-based eigenstates that we are dealing with here.  Yet, if one were, instead, dealing with a point in contact that would here have a physical composite that bears a shape, that one may here describe as a disc or plate-like configuration that would here have no annulus -- that were to here directly touch another phenomenon, this latter mentioned phenomenon of holonomic substrate -- of which were to also act as a fret of a relatively taut phenomenology, ansantz, the here direct genus of contact will tend to bear less of a slippage and more of a pulse, in the process of the direct contact of what is here a Gliossi-based contact and/or some other sort of inter-bound Yakawa Coupling, in the kinematic inter-play of the two phenomena-based holonomic substrate-based eigenstates of this here anterior scenario.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

As to Contorted Norm-Projections

When a norm-projection that strikes any given arbitrary superstring of discrete energy permittivity is not straight -- "straight" here being considered in so as to bear a flush unitary Lagrangian, that is curved in the general manner and to the consequent degree of the innate and local curvature of space-time-fabric -- in the process of forming a Gliossi-based contact with the so-stated superstring, then, since the so-eluded-to Laplacian-based curvature of the here incoming norm-projection is thence of a contorted nature, the Hamiltonian-based operation of the redistribution of the superstring that is struck in this given respective scenario will not be of as much of a scalar magnitude as would be a Gliossi-based contact of such a norm-projection, if, instead, the so-stated norm-projection were to instead be of the earlier said condition as to being "straight" in so as to be considered as to bear a unitary Lagrangian that is curved in the general manner and to the consequent degree of the innate and local curvature of space-time-fabric.  So, the more the contorted the Laplacian-based topological contour is of such a given arbitrary norm-projection, when such a respective alignment of substringular holonomic substrate is to strike any respective given arbitrary superstring of discrete energy permittivity at one given arbitrary velocity, over time -- the less of a discrete wave-tug/wave-pull that the said norm-projection will tend to bear upon the directly related said superstring, over the immediately ensuing iterations of group instanton, in so that this manner and degree of consequent detriment in the enabling of a more viable Gliossi-based contact will thence lower the Hamiltonian-based operation -- when in terms of the scalar magnitude of the genus of such a substringular re-delineation -- that may be here considered over a sequential series of iterations of the here directly ensuing discrete metrical activities of the said instantons.  Yet, also working to effect both the degree and the manner of the scalar magnitude of such a Gliossi-based interaction, is whether or not the genus of such a format of a Yakawa-based coupling is either of a Noether-based flow or of a tachyonic-based flow.  The more tachyonic the basis of such a flow, the higher is the potential tendency of such a norm-projection to bear a higher scalar magnitude of such a here inferred Hamiltonian-based operation of norm-projective pull.  Yet, in general, norm-projections will tend to bear a Noether-based flow in the process of working to bear a Gliossi-based Yakawa Coupling, that is enacted upon any given arbitrary superstring at the Poincaire level.  To Be Continued!  Sam.

As to the Hamiltonian Operation of Certain Hausendorf Norm-Projections

Let us say that one were to initially have a certain genus of a Hausendorf Projection.  This given arbitrary example of such a projection that I am starting to describe here is a holonomic substrate that is comprised of composite of phenomena that is made of a first-ordered point particle, that is linked -- by the interconnection of mini-stringular segmentation -- to an integrated set of first-ordered point particles that work to comprise a half-shell-like phenomenology, that bears its concavity in such a manner in so that the curvature of the half-shell-like holonomic substrate is curved away from the here existent presence of the initially mentioned first-ordered point particle -- that is subtended in the opposite end of the Laplacian-based Majorana-Weyl-Invariant end of the so-stated Hausendorf norm-projection.  If the said Hausendorf Projection is said here to be moving in what may be thought of as the relative forward-holomorphic direction, then, the so-stated half-shell-like partial anti-derivation -- that has here been stated as being part of the overall phenomenology of what would here work to comprise the said Hausendorf Projetion -- will be kinematically stationed at the relatively holomorphic end of the kinematic activity of the Fourier-based translation  of the said genus of norm-based projection, and, the said first-ordered point particle that is here considered to be directly interconnected to the said half-shell-like phenomenology, will be kinematically stationed at the relatively antiholomorphic end of the kinematic activity of the so-stated Fourier-based translation of the said genus of norm-based projection, of this respective given arbitrary case scenario.  If the ordering of the so-eluded-to directoral-based Hamiltonian delineation of the said Hausendorf Projection were to be reversed in the manner of its holomorphic indices, then, the so-stated genus of a Hausendorf Projection would spontaneously lose its innate fractal modulus, and would thereby collapse from its bearings of its here so-eluded-to kinematic-based Majorana-Weyl format of homotopic abelian-based Ward-Neumman physical extension.  Yet, if the holomorphic indices that are here to be of the initially so-stated format of directoral-based kinematic differential orientation, then, the said Hausendorf Projection will work to remain as to having a spontaneous and relatively strong abelian-based homotopic index.  This just discussed  condition of such a Hausendorf Projection -- as having a strong genus of such a homotopic index, will then work to fascillitate the tendency of such a norm-projection to bear a relatively higher potential of being able to work toward interacting with either a superstring and/or a cohomological-based set of Hodge-Indices in a Gliossi-based manner, over a discrete group eigenmetric.  I will continue with the suspense later!
Sam.

As to the Effect of Certain Nonabelian Norm-Projections

When a norm projection interacts with a cohomological-based index -- such as a world-sheet that is here at a relatively limited given arbitrary locus, over a transient metric that would here involve a relatively static and proximally local Lagrangian eigenbase -- that would here be a condition of such a so-stated world-sheet iterating at a tense of superconformal invariance -- to where the differential geometry of such an eluded-to Yakawa-based interaction that is here Gliossi, at the Poincaire level of the interior Ward-Neumman bounds of the holonomic substrate of the so-eluded-to topological surfaces -- that are then here in direct physical contact, is of a non abelian nature, then, the sum of the Hamiltonian-based Hodge-Indices that are acting as having more of an abelian-based interaction -- of the immediately correlative first-ordered point particles of the said norm-projection that are most Gliossi at the point of contact -- toward the immediatley correlative first-ordered point particle of the said world-sheet, that are most Gliossi at the point of contact -- when the differential trigonometric sum of the directly affiliated resultant dot-product that is most associated with the relative  Hamiltonian-based response of the activity of the said  norm-projection when struck, with the differential trigonometric sum of the directly affiliated resultant cross-product that is most associated with the relative Hamiltonian-based response of the activity of the said world-sheet when struck -- will work to help determine the manner and the degree of the resultant alteration or perturbation of the kinematic eigenbase of the ensuing activity of the so-stated world-sheet.  So, if the overall coniaxial that works to define the eigenbase of the line integral that works to form the initial stability of the Majorana-Weyl-Invariant mode of the so-state initial condition of superconformal invariance that the said world-sheet that is here being discussed, is altered from one orientation of a unified set of directoral-based axions that act as one discrete unit to another orientation of a unified set of directoral-based axions that act another discrete unit, then, the manner and the existence of the resultant activity of both the world-sheet and the directly corresponding norm-projection of this case scenario will alter -- as is according to the here respective topological sway that may be eluded-to by so-stated aleration of the directoral-based orientation -- as is according to the resultant differences that would here be most directly associated with the change in the sum of the respective said given arbitrary Hamiltonian-based Hodge-Indices that would then be of a different differential geometry that before, as I have here indicated.  To Be Continued!  Sam Roach.

As To A Genus of Multiplicit Interaction

We have recently discussed the general concept of a norm-state projection that acts through the directly affiliated Hamiltonian operand via a unitary Lagrangian, interacting with the cohomological eigenbase of a world-sheet -- in such a manner in so as to work to displace the so-eluded-to holonomic substrate of the said world-sheet, as is according to the lay-out of the overall spatial and directoral-based orientation of the coniaxial eigenbase that would here work to form the here respective given arbitrary line integral that would thence here traverse, in a flush manner, across the topological surface of the so-eluded-to Minkowski-based holonomic substrate of the said world-sheet of any directly relevent correlative case scenario.  Now, let us say that we are, instead, dealing with either a binary, a tritiary, or a multiplicitly norm-state projection -- that is being applied, via an abelian-based geometric wave-tug/wave-pull, in a Yakawa manner that is here of a Gliossi-based manner -- in so as to work to form an alteration or a perturbation of any given arbitrary world-sheet, that is initially residing at a set unique Majorana-Weyl-Invariant eigenlocus, in a manner that is, as an ansantz, of the so-eluded-to initially based conformally invariant or superconformally invariant mode of a relative condition of static equilibrium.  The genus of the substringular manifold of the initial cohomology that we are dealing with here is either of a Calabi-Yau, a Calabi-Wilson-Gordon, or of a Calabi-Calabi-based manifold.  The resultant net alteration of the delineatory eigenbase -- that is reflected by the alteration of the manner in which the kinematic activity of the so-stated world-sheet changes in the mode of its activity, will then here be based upon the geometric-based resultant tensor that one may work to determine as is being applied to the so-stated world-sheet -- as is taken by averaging the Slater-based Real-Reimmanian-based directoral indices of the overall Real-based Lagrangian tensors, and coupling this format of extrapolation with an averaging of the Slater-based Njenhuis-based directoral indices of the overall Imaginary-based Lagrangian tensor.  This is not, though, considering the net effect of the holonomic substrate of those indices that may work to bear certain Chern-Simmons singularities that could work to take effect.  We may discuss that issue later.  Now, when such an overall extrapolation works to consider the overall directoral-based orientation of the coniaxial that is here working to form the line integral that we have here been considering as being traversed upon the Minkowski-based topological surface of the holonomic substrate that here operates and exists as a world-sheet, this will then result in an ability to bear at least some knowledge as to the transiently future kinematic outcome of the ensuing activity of the cohomological index of the said world-sheet.  This is a further application of Stokes Theorem.  Sam.

In Relation to Stokes Theorem

Here is a general concept of string theory that is in relation to Stokes Theorem.  Let us say that one were to here be innately dealing with the homotopic existence of a world-sheet that is delineated at a given arbitrary general locus.  Let us then say that there is a line integral that one may consider here to be placed in a flush manner across the topological surface -- of what may here be considered to be the center of the holonomic substrate, that works to comprise the here said cohomological-based world-sheet.  Furthermore, let us now say that some given arbitrary Hamiltonian-based force is applied to the said world-sheet -- as an abelian norm-state projection, that acts upon the so-stated world-sheet in a manner, in so that the direct application of the so-stated norm-state projection upon the said world-sheet acts through its respective Hamiltonian operand via a unitary Lagrangian.  Depending upon the directoral-based orientation of the overall coniaxial that is then here directly associated with the delineation of the earlier so-stated line integral that one may here then consider as going through the topological surface of the Minkowski-based holonomic surface, of the so-stated cohomological-based world-sheet, this condition of Ward-Caucy-based parameter will then work to determine the manner in which such a Yakawa-based interaction of the so-stated norm-state projection will kinematically move the said world-sheet, upon the immediately following instantons after the here implied Gliossi-based collision happens, of this here respective given arbitrary case.  So, depending upon whatever the alteration or perturbation of the here so-eluded-to coniaxials -- that one may deem as existent in so as to work to form the existence of the line integral that would then here exist along the said Minkowski topological surface of the said cohomological-based entity of world-sheet that I have mentioned here, this general genus of perturbation will then, likewise, work to alter the manner of the ensuing kinematic distributions and redistributions of the Ward-Neumman bounds of the holonomic substrate of the earlier so-stated world-sheet, in so as to work to determine the unique and specific changes in the manner that the said cohomological surface will alter in its covariant-based mode to the here Gliossi-based interaction -- that it is here involved with with the said norm-state projection that is applied to it through the here proscribed unitary Lagrangian.  I will continue with the suspense later!  Sam.

Part Two as to The Fractal of Magnetic Field

When there is an application of a relatively small quantum of reverse magnetism that is pulled into any given arbitrary substringular-based region in which there are superstrings of discrete energy permittivity -- that are Gliossi to the here directly corresponding Hamiltonian operands, the arrangement of those wave-based propagations hat are pulled into one sort or another of either a euclidean and/or a Clifford-based Expansion of the directly associated fractals of magnetism, in the form of core-field-density that is pulled and/or tugged around by the here so-eluded-to surrounding core-field-density of the surrounding substringular phenomena of the general region, in which such so-stated reverse magnetism is being delineated at, over the directly affiliated group associated metric -- that are subtended from the just mentioned and eluded-to superstrings and their counterstrings -- the initial genus of arrangement of the wave-functionability of discrete energy permittivity that had here initially corresponded to the arrangement of the pointal-based-functionabiligy of the correlative discrete energy permittivity, will tend to alter or perturbate in the general format of its so-eluded-to genus, over that ensuing sequential series of group-based instantons in which such an application of reverse-based magnetism is pulled into the here so-stated substringular neighborhood in which the so-stated superstrings and their corresponding counterstrings had been initially iterating at per instanton -- given the degree and/or manner of both the correlative covariant-based mode, its correlative codetermination, and, its correlative codifferentiation, over that time frame in which such a respective given arbitrary application is brought into the Ward-Caucy bounds of the Poincaire-based field that is Gliossi to the said core-field-density of the initially so-stated superstringular scenario.  Yet, if the region of interaction of such a case, as a whole, is not, in general, covariantly expanded into a divergent propagation of indical singularities that are then obviously not initially piecewise continuous, such a genus of a Rayleigh-based scattering of subtended wave-based delineations will here tend to not bring about annhilation-based tensors into the here so-eluded-to Gliossi-based field structure of the resultant region of substringular neighborhood, due to the conditions that, what may be here viewed of as unpropagated variant geometric configurations will, at the relative exterior of the so-eluded-to perturbation of a fractal of magnetic-based eigenindices, tend to diverge in its multidirectoral-based Lagrangian-based expansion of eigenstates -- to where the so-eluded-to Majorana-Weyl-Invariant mode at the so-stated perimeter of such an interaction will then tend to be inculcated by the node/antinodal "sheathe", that will then surround the relatively furthest extension of such an interaction, thereby bringing in an ensuing relatively local condition of a potentially piecewise continuous mode of  interactive eigenindices  -- slowing the resultant perturbated mode of such an eluded-to multiplicit Hamiltonian operator-like eigenstate -- that is of an altered spin-orbital-based Hamiltonian operation of superstrings, into a settled tense of covariant-based superstrings, that will then here tend to reattain more of a general tense of conformal invariance.
I will continue with course 18 next!  Sincerely, Sam.  To Be Continued!

As to the Fractal of Magnetic Fields, Part One

Here is some of a heads-up as to the nature of the fractal of magnetic fields -- when one is to here consider some of the phenomenology that happens in the substringular.  Initially, the basis of the fractal of magnetic fields in the substringular is based, in part, on the multivarious conditions of the inter-relations of Fock Space.  This is due, in part, to the condition as to that -- the individual eigenstates of the wave-functionability of discrete energy permittivity is most directly associated with those individually taken eigenstates of superstringular counterparts that iterate just to the relative holomorphic side of the here multiplicitly taken eigenmembers of that holomorphic substrate, that acts as those superstrings of discrete energy permittivity that would here behave as the basis of the pointal-based conditionalilty of such a multiplicitly taken condition of discrete energy.  Just as the fractal of discrete electric field in the substringlar is based in part upon the angular momenta-based Hamiltonian-based operations of superstrings of discrete energy permittivity -- that of which may be here considered as being the fractal of discrete magnetic field in the substringular is based in part upon the spin-orbital-based Hamiltonian-based operations of superstrings of discrete energy permititivity.  So, since there are by far many more wave-like mini-stringular-based segments of core-field-density that are extended from that phenomenology that acts as the holonomic substrate of the counterparts of superstrings of discretely-based energy -- such a so-eluded-to Ward-Neumman-based physical bounds of the here multiplicitly taken counterstringular phenomenology may be then here considered to bear more of a shell-based piecewise continuous-based nature than that phenomenology that may be, instead, extrapolated upon a physical consideration of the Ward-Neumman-based physical bounds of the here multiplicitly taken superstringular phenomenology that I have here recently eluded-to as being the pointal basis of discrete energy permittivity.  So, the literal superstrings of discrete energy permititivity act more like a particle, and, the directly corresponding counterstrings -- of which iterate just to the relatively holomorphic side of these so-stated superstrings -- act more as waves (in comparison).  Since the counterparts of superstrings work in so as to behave in more of a shell-like manner -- in a direct comparison to the here so-mentioned particle-based holonomic substrate-based phenomenology of discrete energy permittivity -- the resultant Clifford-based Expansion that would thence be propagated from the kinematic and Laplacian-based extensions of such waves, that would then be protruded, over the projection of there exterialized trajectory, will inevitably tend to reach an assymptotic substringular Ward-Caucy bounds, work to form at least some sort of a homogenous slope, of which would eventually indirectly work to cause part of the reason as to the activity of the space-hole, this "space-hole" of which is what I term of as that general  activity that happens to the discretely ensuing kinematic superstrings and counterstrings of discrete energy permittivity -- during the majorization of what I term of as the Bases  of Light, in which the ultimate fractal of pressurized vacuum that exists in-between the superstrings and their correlative counterstrings works to cause those minute homotopic changes right before the quaternionic-instanton-field-impulse, that are needed in order for the holonomic substrate-based conditionalities of norm-based conditions to be able to change.  To Be Continued!  Sam.

Part Three of Session 9 of Course 18

When one is dealing with first-ordered point particles in the substringular, one is dealing with condensed oscillation of mini-string or condensed oscillation of core-substringular-field-density -- that would here come together in a form that one may say acts like a  "ball of yarn" of the just-mentioned condensed oscillation -- in so as to form a given arbitrary degree of a compactification of the so-stated local multiplicitly torsioned core-field density, in so as to form one immediate eigenmember basis of what may be either termed of as a point commutator that would here work to form a superstring, or as a point commutator that would here work to form a superstringular counterpart.  So, when one is dealing with the extension of mini-stringular segments that are jutted-out from any given first-ordered point particle, that would here work to form a ground-based superstring of discrete energy permittivity -- besides those other given arbitrary mini-string segments that jut-out from the so-stated first-ordered point particle, in so as to work to interconnect the said point commutator to both the adjacent first-ordered point particles that work to form the same respective directly associated given arbitrary superstring, and, to the most adjacent first-ordered point particle of the directly corresponding counterstring of discrete energy permittiivity -- one is then  here working with only one of such jutted-out mini-stringular segments.  Yet, when one is, instead, dealing with the extension of mini-stringular segments that are jutted-out from any given arbitrary first-ordered point particle, that would here work to form a Fock-based superstringular counterpart of the wave-functionablitiy of discrete energy permittivity -- besides those other given arbitrary mini-string segments that jut-out form the so-stated first-ordered point particle, in so as to work to interconnect the said point commutator to both the adjacent first-ordered point partictles that work to form the same respective directly associated given arbitrary counterstring, and, to the most adjacent first-ordered point particle of the directly associated superstring of discrete energy permititivity  -- one is then here working with many of such jutted-out mini-stringular segments.  The orientation of any given arbitrary first-ordered point particle to its surroundings, where it is positioned in its neighborhood, and, the pointal localization of the said point -- when this is taken relative to its environment -- is the basis for a respective fractal of electric field.  The coordinates that make it a field are the single wave propagations that are extended from the just so-eluded-to substringular neighborhoods.  To Be Continued!  Sam.

About the Transference of Third-Ordered Schwinger Indices

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