Gradual Dampening Of Dimensional-Related Pulsation

Kahler-based quotients that are only fractionally increased in a piecewise continuous manner, over time -- in terms of the scalar amplitude of the correlative product of that given arbitrary path-related bundle, that is here to be extrapolated, in so as to work to indicate an attenuation of the dimensional-related pulsation of one given arbitrary correlative orbifold eigenset -- is here to work to indicate the presence of what would here tend to be a relatively smoothly dampened metrical-related activity, of those Legendre-based superstrings, that would here work to indicate a dampening of the scalar amplitude of a partial-parametric condition, that is of the flow of that motion that is here to be directly related to the propagation of a respective given arbitrary mass, that is deterred in its energy.
Continued later!  Sam Roach.

Path-Related Bundle And Legendre Homology

Let us initially consider a mass-bearing orbifold eigenset -- which is a set of mass-bearing discrete quanta of energy, that operate in so as to perform one specific function, over a sequential series of group-related instantons -- that may be be described of via a Fourier Transform, that is of an evenly-gauged Hamiltonian eigenmetric.  The directly corresponding mass-bearing superstrings of discrete energy permittivity, that work to comprise the said mass-bearing orbifold eigenset, are each, individually taken, as working to bear a symplectic homology -- which may be described of as being cohomological entities.  The generation of the Lagrangian of such cohomological entities works here, in so as to help in the delineation of superstrings that are here, individually taken, to exhibit a tense of working to bear a Legendre homology.  What I am describing here -- is that the generation of the actual motion of the closed-strings that are of a mass-bearing nature -- works to help here at delineating the proximal local presence of isotropically stable superstrings, that are here of the nature of plain kinetic energy.  The so-eluded-to multi-dimensional delineation of the said Legendre homology, of which is here of the nature of being a tense of plain kinetic energy -- is to work to bear a path-related bundle, that is here to work to involve the proximal local presence of the condition of Chern-Simons Invariants.  Let's next say that each general directoral-related partial function, that is correlative to the said path-related bundle -- is to be expressed in this given arbitrary case -- as one quadratic-based equation.  Let us next say that the said path-related bundle is here to involve the presence of eight covariant, codeterminable, and codifferentiable spatial parameter-related physical dimensions -- that may be expressed in a manner as being of a product of eight of such so-eluded-to directoral-based quadratic equations, -- as to here to be appertaining to working to help at describing the Lagrangian-based path of the earlier-mentioned Legendre homology, that is of a multidimensional open-loop of substringular topological stratum.  If one were to then to consider the product of four of the eight of such directoral-related equations, that are here to help at working to describe the path-related bundle of such a Legendre-related superstring -- as it is to here to be working to exhibit the attributes of the Ward-Cauchy-related conditions of its correlative Chern-Simons Invariants -- and, if one were to then to take the overall expression of the said Chern-Simons Invariants of such a Legendre homology in the said exhibition of the so-eluded-to eight spatial dimensions, and if one were to then to divide this expression by the product of the earlier-mentinioned respective given arbitrary path-related bundle of the respecitve given arbitrary four directoral-related equations, -- this will then tend to indicate, what would here amount to an attenuation of the dimensional-related pulsation of the said correlative Legendre-related homology.  Such an attenuation of dimensional-related pulsation, will then work to form the presence of a set of one or more proximal local metric-based Chern-Simons singularities that are of a dampening nature, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Metric-Gauge-Related Pulsation Bears A Proportionality To This

The metric-gauge-related pulsation, that is to be taken between any two different given arbitrary orbifold eigensets -- is:

(3.026*10^(-32)Kilograms*Meters^3/Seconds^2))
*(e^(Ricci Flow))*(((e^(Ricci Flow))^2)-1)^.5))(In Terms Of Seconds^2/Meters^2)
*(the duration of the correlative Yukawa Coupling, that is here to involve the two different said orbifold eigensets)
*(the angle that is here to be subtended between the two given arbitrary orbifold eigensets).

So, there is a proportionality between "e" taken to the power of the Ricci Flow and
the scalar amplitude of the correlative metric-gauge-related pulsation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homotopy And First-Order Point Particles

A basic idea behind the concept of homotopy, is -- that every first-order point particle has at least a certain amount of mini-stringular segmentation extending from it -- at all times in which it is unfrayed.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Partition-Based Discrepancies And Legendre Homology

The lower that the number of partition-based discrepancies, that are here to exist from within the Ward-Neumman bounds of those individually taken superstrings -- that work to comprise a mass-bearing orbifold eigenset, is to tend to be -- the higher that the spatial dimensionality of the resultant generation of the delineated Legendre-related superstrings, will then tend to be.  Likewise -- the higher that the number of partition-based discrepancies, that are here to exist from within the Ward-Neumman bounds of the individually taken superstrings, that work to comprise a mass-bearing orbifold eigenset, is to tend to be -- the lower that the spatial dimensionality of the resultant generation of the delineated Legendre-related superstrings, will then tend to be.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Lorentz-Four-Contraction And Dimensinoality Of Legendre

The higher that the scalar magnitude is to be, as to the Lorentz-Four-Contraction that is here to be directly affiliated with the velocity of a mass (mass-bearing superstrings of discrete energy permittivity work to bear a symplectic homology) -- whose Lagrangian is to work to help here, at generating the delineation of a set of one or more superstrings of discrete energy permittivity that are here to work to bear a Legendre homology (superstrings of plain kinetic energy permittivity work to bear a Legendre homology over time) -- the more likely then, that the said given arbitrary set of superstrings of discrete energy permittivity -- that are here to work to bear a Legendre homology, will then tend to bear a higher dimensionality than such a Ward-Cauchy-based situation would otherwise entail.
 I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Magnetism And Majorana-Weyl-Invariant-Mode

The higher that the scalar amplitude is, of the tense of the Majorana-Weyl-Invariant-Mode, -- that is here to be taken at an internally coherent reference-frame -- of which is, as well in this case,  to directly appertain to a cohesive set of correlative respective orbifold eigensets that act as one group -- the higher that both the resonant vibration and the scalar amplitude of the magnetism will tend to be in such a said case, as to the nature of such a cohesive set of correlative respective orbifold eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Net Beti Number

Let's initially consider, the algebraic sum of those Beti numbers of one given arbitrary case, that is to here involve one respective instanton -- that is here to be directly associated with, what is here to be both the action of dimensional compactification that is to happen just before BRST, &, the action of dimensional decompactification that is to happen during the correlative ensuing iteration Of that Regge Action eigenmetric, that is to immediately ensue the so-eluded-to given arbitrary iteration of BRST of such a given arbitrary case.  If such a net algebraic sum of Beti numbers is to be positive, then, the said superstring is then said to have compactified -- as a Hamiltonian operator of dimensional-related pulsation.  Yet, instead -- if such a net algebraic sum of Beti numbers, is to be negative, then, the said superstring is then said to have decompactified as a Hamiltonian operator of dimensional-related pulsation.  Either way -- such a so-eluded-to superstring of discrete energy permittivity -- that is here to have altered in its dimensional-related pulsation, will have then to have attributed to it, the tendency as to have the condition -- of then working to bear a metric-related Chern-Simons singularity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

General Genus Of Light-Cone-Gauge Tying

The following is a general concept, as to the basic manner by which a second-order light-cone-gauge eigenstate is to be interdependently interconnected with a superstring of discrete energy permittiivty.  At the multiplicit general locus, at which a second-order light-cone-gauge eigenstate is to be tied with a superstring of discrete energy permittivity -- the chord-like phenomenology of the mini-stringular segmentation of any one given arbitrary second-order light-cone-gauge eigenstate, is here to be tied together with mini-stringular segmentation -- that is here to exist in-between two different first-order point particles that have here worked to help comprise the construction of the earlier mentioned superstring of discrete energy permittvity.  Such a tying is here to take into consideration, the general Ward-Cauchy-based condition -- that mini-stringular segmentation is to be fed into and out of the proximal locus of discrete energy during instanton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Light-Cone-Gauge And Homotopy

In so long as there is no fraying involved in the directly pertinent substringular fabric of which I am about to describe, -- whenever  any given arbitrary first-order light-cone-gauge eigenstate is to act, in so as to be in the process of retying its second-order eigenstates -- this of which happens as the general genus of the homology that is of the directly corresponding superstring of discrete energy permittivity, is to either go from being of a Legendre homology into a symplectic homology, or, vice-versa -- then, such a general genus of a Ward-Cauchy-related activity, is to happen with a maintenance of homotopy in the process of such a perturbative interaction.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Homology And The Light-Cone-Gauge

When a superstring that works to bear an initially considered Legendre homology, is to tie its ends together, in so as to work to form a superstring that instead is to work to bear a symplectic homology -- the five chord-like phenomenology that had worked to form the respective second-order light-cone-gauge eigenstates that had worked to form the primarily wave-based operation of the discrete energy impedance for the directly corresponding discrete quantum of energy -- will, in the process of the correlative Legendre homology being converted into a symplectic homology, retie the mini-stringular segmentation  that had worked in so as to help at forming the so-stated chord-like phenomenology of the so-eluded-to second-order light-cone-gauge eigenstates, -- into ten chord-like phenomenology of mini-stringular segmentation, of which will then work to help at forming those second-order light-cone-gauge eigenstates that will here be used in order to help comprise the correlative first-order light-cone-gauge eigenstate of the said discrete quantum of energy of this given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

General Genus Of Homology And The Light-Cone-Gauge

If the general genus of a given arbitrary homology-related superstring of discrete energy permittivity  is of a Legendre homology, then, the first-order light-cone-gauge eigenstate that it is here to work to bear -- will tend to be comprised of by five second-order light-cone-gauge eigenstates.  However, -- if the general genus of a given arbitrary homology-related superstring of discrete energy permittivity is of a symplectic homology, then, the first-order light-cone-gauge eigenstate that it is here to work to bear -- will tend to be comprised of, by ten second-order light-cone-gauge eigenstates.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Another Tense Of Translation

A Legendre homology -- that has just been generated and delineated -- may be utilized, via an evenly-gauged Hamiltonian eigenmetric, -- in the process of helping to facilitate the Fourier-related Lagrangian, of an ulterior homology, that is of a symplectic homology-related nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Translation Of A Certain General Genus Of A Lagrangian

The Fourier-related translation of the Lagrangian of a symplectic homology, may often be utilized over an evenly-gauged Hamiltonian eigenmetric, to generate the delineation of a Legendre homology.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Motion Of Symplectic Homology

The multiplicit motion of symplectic homology, often works to generate the delineation of Legendrian homology.  Both mass-bearing superstrings of discrete energy permittivity, and superstrings of discrete electromagnetic energy permittivity -- are of a symplectic nature.  (These last two mentioned general genre of superstrings, tend to be of a closed-looped nature.)  Kinetic energy is of a Legendrian nature.  (This latter mentioned general genre of superstrings, may often be of either an open-strand nature or of an open-looped nature -- depending upon various interdependent influences.)  Both the motion of mass-bearing superstringular stratum, &, the motion of electromagnetic stratum, -- often work to generate the delineation of kinetic energy.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Kinetic Energy And Isotropic Stability

Plain kinetic energy that is generated by the activity of mass-bearing superstrings, that are of discrete energy permittivity, tends to be stable in its isotropism, whereas -- plain kinetic energy that is generated by the activity of superstrings of discrete electromagnetic energy, tends to be unstable in its isotropism.  This then means, -- that superstrings of discrete plain kinetic energy permittivity -- that are generated from the motion of mass-bearing superstrings of discrete energy permittivity, will tend to be isotropically stable, whereas, superstrings of discrete plain kinetic energy permittivity -- that are generated from the motion of superstrings of discrete electromagnetic energy, will tend to be isotropically unstable.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Legendre Versus Symplectic Homological Settings

Let us initially consider an open-looped superstring of discrete energy permittivity, that is here not to work to bear any tense of having what may be termed of as Majorana-Weyl-Invariant Spinors.  It has two distinct ends -- so it thereby has a discrete isotropic behavior, -- as being either of a Floer homology (to where such a resultant homology is to be stable in an isotropic manner), or of a Heggaerd homology (to where such a resultant homology is to be unstable in an isotropic manner).  When one is here to be talking about an open-looped superstring of discrete energy permittivity, that is here to be either of a Floer homological setting or of a Heggaerd homological setting -- one is then to have what may be termed of here as a Legendre homological setting.  However, when one is to have a superstring of discrete energy permittivity, that is to be of a closed-looped setting -- that is thereby of a bosonic-stringular nature, one is then said to have what may be termed of as a symplectic homological setting.  A superstring that is of a symplectic homological setting, is said to work to bear what is known of as a cohomological setting.  Superstrings that are of a cotangent bundle that is symplectic, have no specific distinct end-points, to where there is not to be a definitive isotopic behavior -- such as one is to have with a Legendre homological setting.  However, both a Floer homology and an symplectic cohomology may often generate as much homological indices as these degenerate, over an evenly-gauged Hamiltonian eigenmetric.  Most superstrings of discrete energy permittivity are of a closed-looped nature, and are thereby of a symplectic nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Another Perspective On Homotopic Residue

Homotopic residue, in general, may be thought of as the codifferentiable, codeterminable, and covariant multiplicit Ward-Cauchy interplay,  of the condition of holonomic spur -- that is here to exist, along the topological surface of a superstring/counter string of discrete energy permittivity, over time.  Whereas -- the i*PI(del) Action, is the multiplicit gauge-action, by which such a codifferentiable, codeterminable, and a covariant multiplicit Ward-Cauchy interplay of the condition of holonomic spur, that is to be extrapolated along the topological surface of a superstring/counter string of discrete energy permittivity, over time, is to happen, -- when this said gauge-action is to be considered over a Fourier Transformation -- to where such a Fourier-Transformation may be considered here, over an evenly-gauged Hamiltonian eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Special Action

So -- what about the "i*PI(del) Action?"  The "i*PI" discussed here, has to to do with the condition, that there is here to be a Laplacian-based back-and-forth toggling of partition-based discrepancies -- that are delineated from the relative holomorphic positioning(s) at the first placement of such partition-based discrepancies, to the relative reverse-holomorphic positioning(s) at the next placement of such discrepancies, and so-on.  This is taken the other way around, for the respective directly corresponding counter string.  (From relative reverse-holomorphic positioning(s) to relative holomorphic positioning(s).)  Such general tendencies are then to  happen, until all of the delineations of those partition-based discrepancies may then be accounted for -- along the topological curvature of the general superstring and its counterstring.  By far, most superstrings are bosonic.  Let's say that we were to call the relative forward motion of a superstring to be the relative forward-holomorphic direction.  If 0 PI is here to be an "origin" at the centrally Nijenhuis-to-reverse-holomorphic side of the topology of a superstring -- if one were to trace around the said circle, in both a holomorphic and in a reverse-holomorphic manner at the same time, one would then end-up at the relative positioning of PI.  The "i" has to do with the earlier mentioned back-and-forth Laplacian-based toggling, that is of the said respective partition-based discrepancies.  The just mentioned discrepancies are a relative-motion-related phenomenology of holonomic spur, as taken along the topological delineation of the general Laplacian-related vibrational curvature, that is of the central core-field-density of the cohomological mappable-tracing -- that is of the GSO-based coniaxial of any one given arbitrary superstring of discrete energy permittivity during BRST. The exchange of such partition-based discrepancies is the condition of homotopic residue.  The kinetic action of homotopic residue is thence the "i*PI(del) Action."
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Annharmonically Scattered Orbifold Eigenset

Let us initially consider an orbifold eigenset, that is undergoing a Majorana-Weyl-Invariant-Mode.  It is thus, at the moment here, under the Ward-Cauchy constraints of a tense of conformal invariance, or, in this case, of a tense of superconformal invariance -- at an internal reference-frame, that is Poincare to the topological stratum of the said orbifold eigenset. Such a superconformally invariant orbifold eigenset, is here to tend to be exhibiting a De Rham cohomology.  It is then to be scattered, via a Rayleigh scattering, of which is of an annharmonic scattering.  This will then tend to mean, that the orbifold eigenset that is of such a case -- will tend to be perturbated out of its initially stated De Rham cohomology, into a Doubolt cohomology, at least initially -- in the process of being scattered  out of such a tense of a Majorana-Weyl-Invariant-Mode.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Oscillation Of Wave-Based Discrete Energy Impedance

Individually taken light-cone-gauge-eigenstates -- are wave-based discrete increments of energy impedance.  The vibrational oscillations of light-cone-gauge eigenstates, are propagated along the Rarita Structure, in order to work to form those Schwinger-Indices -- that not only come together in so as to work to form the phenomenology of gravitational waves, yet, such thus formed Schwinger-Indices are also produced, in order to operate in so as to work to effect the condition of which general genus of force is to be implemented at what locus, over the course of that incurred multiplicit eigenmetric -- in which such forces in the substringular are to both be produced and functional over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Stuff As To Charge Generation

Positive charge generation tends to move things Into the relative forward-holomorphic direction From the relatively reverse-holomorphic direction.  Negative charge generation tends to move things Into the relative reverse-holomorphic direction From the relatively forward-holomorphic direction.  Adjacent charge generation -- that works to bear a trivially isometric tense of reverse-chirality -- will tend to push each other towards one another.  This is part of what happens when opposite charges attract each other. Here.  Picture yourself at the center of an atom.  (Remember -- forward-holomorphicity is to the relative left, and reverse-holomorphicity is to the relative right.)  The center of the atom is positively charged, while the electrons that work to surround the nucleus of the atom are negatively charged.  Next -- let's consider the constraint that, from the centerpoint of the so-eluded-to action, one is to bear a consideration of left-handedness.  The protons at the nucleus will be attracted to the electrons that surround it, and thereby, these said protons will have an inherent wave-tug towards the relative left.  Furthermore -- the electrons at the outskirts of the atom will be attracted to the protons that are at the nucleus, and thereby, these said electrons will have an inherent wave-tug towards the relative right.  This is why I have here arbitrarily eluded-to, that protons have a tendency of "wanting" to go into the relative holomorphic direction from the relative reverse-holomorphic direction -- while electrons have a tendency of "wanting" to go into the relative reverse-holomorphic direction from the relative holomorphic direction.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Velocity And Flow Of Homotopic Residue

Let us initially consider an orbifold eigenset -- that is to here to work to bear one specific theoretical rest mass.  The faster that the velocity of the said orbifold eigenset is to be -- the less partition-based discrepancies that will then exist from within the confines of the individually taken superstrings of discrete energy permittivity that work to comprise the said eigenset, yet, there will tend to here be, as well, a proportional increase in the number of mass-bearing strings that will then be existent from within the confines of the said orbifold eigenset -- so, as the said orbifold eigenset is to increase in its relative speed over a set duration, -- the said eigenset is then to become denser in discrete energy, since mass tends to increase as such a said mass is to increase in its velocity relative to light.  So, even though homotopic residue tends to flow out of the individually taken superstrings of an orbifold eigenset as it approaches light speed -- homotopic residue still tends to be conserved for the said orbifold eigenset, -- since there is here to be a proportional increase in the number of superstrings that work to comprise such a said eigenset.  (Mass increases as speed increases.  Mass is a form of energy.  Therefore, as an orbifold eigenset is to increase in its velocity relative to light -- the number of strings that work to comprise such a said eigenset is to increase in number.)
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Direction Of Most Conformal Invariance

The higher that the Polyakov Action is to be, for any one superstring of discrete energy permittivity -- the more partition-based discrepancies that such a said respective superstring will then tend to have.  The higher that the relative scalar amplitude is -- of the tense of the Majorana-Weyl-Invariant-Mode, for any discrete quantum or for any discrete quanta of energy -- the more partition-based discrepancies that the respective superstrings that work to comprise the respective phenomenon, that is of such a said tense a Majorana-Weyl-Invariant-Mode, will then tend to have.  Homotopic residue is of the exchange of what I have here described of as being partition-based discrepancies, which is here to be at the substringular level.  This will then tend to mean, that partition-based discrepancies tend to be exchanged to a higher scalar magnitude -- towards superstrings that are of a higher scalar amplitude of the Polyakov Action.  This will then tend to mean, that homotopic residue tends to flow towards those superstrings, that work to comprise those respective orbifold eigensets, that are here to work to bear a relatively high tense of conformal invariance.  Homotopic residue tends to "move" in the direction of the most conformal invariance.  The lower that the velocity is -- of an orbifold eigenset that is taken at an internal reference-frame -- the more that homotopic residue will then tend to flow into those superstrings of discrete energy permittivity, that work to comprise such a said composite orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Preparing For The Polyakov Action

Any one specific superstring of discrete energy permittivity, in general, is to tend to gain partition-based discrepancies as it is going into BRST (as it is to tend to be compactified in its spatial dimensionality) -- since such a respective given arbitrary superstring is here to prepare for the immediately ensuing Polyakov Action eigenmetric. Furthermore -- any one specific superstring of discrete energy  permittivity, in general, is to tend to lose partition-based discrepancies as it is going into the directly corresponding Regge Action eigenmetric (as it is to tend to be decompactified in its spatial dimensionality) -- since such a respective given arbitrary superstring, is here to prepare for the immediately ensuing generally unnoticed duration of Ultimon Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Electricity And Partition-Based Discrepancies

With electricity, there is energy per charge before there is charge per time.  Voltage happens before there is amperage.  Voltage is more in reference to the magnetic field, while amperage is more in reference to the electric field.  Per instanton, the just mentioned tendency fractals down to the condition, that an orbifold eigenset of electromagnetic energy is to gain partition-based discrepancies before it is to lose the exact same number of such said partition-based discrepancies.  The magnetic field is thus indicative of that fluctuation in electromagnetic energy, that is due to an increase in the Hodge-Index of the holonomic substrate of discrete homotopic residue, in the form of a transient gain of partition-related discrepancies, -- while the electric field is indicative of that fluctuation in electromagnetic energy, that is due to a decrease in the Hodge-Index of the holonomic substrate of homotopic residue, in the form of a transient loss of partition-related discrepancies.  The Fourier-related integration of such a generation/degeneration of partition-related discrepancies, is what is here to work to form what here may be thought of as the correlative respective magnetic field eigenstates & the correlative respective electric field eigenstates.  Just as the condition that electromagnetic energy is reverse-fractaled as electromagnetic wavelengths, both magnetic and electric field eigenstates are, in a way, a reverse-fractal of the flow of the exchange of partition-based discrepancies.  The manner by which magnetic field eigenstates are not overcome by electric field eigenstates, -- is that the magnetic field works to curl around the electric field, as is in accordance with the right-hand-rule, in a manner that is not only both covariant, codeterminable, and codifferentiable, yet, such a Yukawa-related curling of electromagnetic eigenstates upon one another, is to happen here in an accordance with the drive of that angular momentum -- that is here to tend to be in the general direction of the relative forward-holomorphic topological wave-tug of any given arbitrary respective case in point.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Unorientable Superstrings Become Tachyonic

Let us initially consider a superstring of discrete energy permittivity -- that vibrates annharmonically in an odd number of spatial dimensions, in a relatively holomorphic-based manner, right before BRST,  -- as well as such a superstring of discrete energy permittivity to be vibrating in an odd number of spatial dimensions, in a relatively antiholomorphic manner, during the immediately ensuing correlative iteration of the directly corresponding Regge Action eigenmetric.  This would not only work to help at causing the said string to both compactify in an odd number of spatial dimensions right before BRST, as well as to work to help at causing such a superstring to decompactify in an odd number of spatial dimensions during the immediately ensuing correlative iteration of the directly corresponding Regge Action eigenmetric, -- yet, such a general tense of activity, would then work to cause the application of an odd-functional pulse -- to be incurred upon the field that would then exist in-between the said string and its correlative counterstring, during both the Beti Action & in its immediately ensuing iteration of the Regge Action eigenmetric.  This would then work to cause such a cohesive field, that is in-between the said string and its counterstring -- to then be heteromorphic, instead of it being homeomorphic.  This would then work to instigate a potential deviation from the general tendency, as to the conservation of homotopic residue -- if such a superstring were to remain of a Noether-based flow, -- since the field that I had just mentioned would then be in a state of a Cevita-related perturbation.  (Here, like a Cevita interaction -- yet, at a level that is here on a smaller scale (a fractal), than an interaction that would exist between bundles of discrete energy quanta.)  Such an annharmonic perturbation, would then tend to work to form an alteration from the general tendency of a conserved exchange amongst that phenomenology of which  I name of as "partition-based discrepancies."  Keep reading, this is nifty!  Homotopic residue is to tend to be conserved for unfrayed substringular entities, that are of a Noether-based flow.  This would then tend to make the here just discussed discrete energy packet, to then to have become unorientable during both BRST and in its immediately ensuing Regge Action eigenmetric -- to where, this would then tend to make the here just discussed discrete energy packet to then ensue to become tachyonic.!
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Wess-Zumino Group Metric

The Wess-Zumino group metric, that acts in so as to apply a wave-tug upon a conformal set of group-attractor-based substringular matrices -- into a Reimman-based symmetrical tense of superconformal invariance, -- may be known of as the Alvarez-Goume Action.  (Again, a Wes-Zumino-based group metric -- works to "tug" substringular phenomena out, from a perturbative state -- into a more orderly state. )  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Stuff As To Homeomorphic Field And The Beti Action

The Beti Action works to help at making a superstring of an orientable nature, in so that the said string may continue to differentiate in a Fourier-related manner -- in a Noether-based manner.
A superstring is to be made orientable during BRST by the Beti Action -- when the field that is here to exist in-between a given arbitrary superstring and its correlative counterstring, is said to be homeomorphic during a respective iteration of BRST.  A superstring is said to work to bear a homeomorphic field -- in-between itself and its correlative counterstring -- when the asymmetry that is to exist amongst the phenomenology that is of the dual-state that exists between the proximal local delineation of the partition-based discrepancies of the said superstring, & the proximal local delineation of the partition-based discrepancies of the said counterstring, -- is to be maintained with an even-functional-based pulse -- at the topological surface, that is Poincare to the region that is here to exist in-between the said superstring and its said counterstring.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Some Interesting Stuff About The Beti Action

What the Beti Action happens to be, is that activity that is to happen, in so that there may potentially be a homeomorphic field between a given arbitrary superstring and its correlative counterstring, when there is of an even-function-related translation between the initial compactification and the ensuing correlative decompactification of the so-eluded-to discrete energy quantum - over the course of that general duration, that is to transpire from right before BRST, until the directly corresponding iteration of the Regge Action, -- to where then, the said superstring is said to be orientable, and thus, the said superstring may be ensue in so as to be of a Noether-related Ward-Caucy nature.  When the Beti Action -- when going into an iteration of BRST -- is to be of an even number (if that compactification that is to happen, right before BRST, is to work to involve a decrease in spatial dimensions by an even integer number of such discrete spatial dimensions), then, the immediately ensuing Beti Action will work to involve the Ward-Cauchy-related conditions, of there being a homeomorphic field subtended between a given arbitrary superstring that is of a Noether-based flow, and its directly corresponding counterstring, to where, the correlative superstring is to then to be said to be of an orientable nature.  If a given arbitrary superstring is unorientable during the Beti Action, by working to involve a decrease in spatial dimensionality by an odd number of spatial dimensions right before instanton, and, as well, if the immediately ensuing correlative iteration of the Regge Action, is here to work to bear an increase in spatial dimensionality by an odd number of spatial dimensions, then the said given arbitrary superstring will become unorientable during both the Beti Action and in its correlative Regge Action, and thus, such a said superstring will then immediately ensue to become of a tachyonic nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Interesting Stuff About The Beti Number

The Beti number is the Hodge-Index, as to either the net decrease or the net increase in the number of spatial dimensions, that a superstring is to respectively either compactify into or decompactify into -- over the course of the so-eluded-to translation of the said superstring -- as it is to be undergoing one of a multiplicit array of iterations of instanton.  A superstring is to tend to always bear a tense of a relatively momentary compacification of dimensionality, right before its correlative iteration of BRST -- while such a superstring is to tend to always bear a tense of a relatively momentary decompactification of dimensionality, during its correlative iteration of the Regge Action.  The Beti number is always a positive integer for the scalar amplitude of the decrease in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have decreased by when it is compactified.  The Beti number is always a negative integer for the scalar amplitude of the increase in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have increased by when it is decompactified.  This tends to be the case, when a superstring is altering in the number of spatial dimensions that is it here to exhibit -- as a Hamiltonian operator of Noether Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Fortification Due To Oscillation-Based Tendencies

Just as the E(8)XE(8) Ward-Cauchy-related oscillation-based tendency operates, in so as to work to help at fortifying the structural integrity of their correlative orbifold eigensets -- the general action of E(6)XE(6) strings, in so as to work to form their pertinent correlative oscillation-based tendency among light-cone-gauge eigenstates -- works to help at fortifying the structural integrity, of those light-cone-gauge eigenstates, that work to form the discrete energy impedance of the directly corresponding orbifold eigensets, that are comprised of, in part, by these said light-cone-gauge eigenstates.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Stuff As To Plain Kinetic Energy And Homotopic Residue

The discrete energy quanta of plain kinetic energy, act as both a multiplicit buffer and as a holonomic substrate -- by which there may thereby be the presence of either a hightened and/or a diminished scalar magnitude, as to the Hodge-related number of partition-based discrepancies -- that may be exhibited in any one given arbitrary respective proximal substringular region -- to where there may thence be a respective proximal local even exchange of such said partition-based discrepancies, in such a so-eluded-to general Ward-Cauchy-related region.  This would then operate, in so as to work to help in the allowance of the general condition of the conservation of homotopic residue over time.

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

Part Two Of Session 13 Of Course 20

By the way, -- the general condition of the torsion that alters the order of any one said light-cone-gauge eigenstate by 90i degrees, works to cause the correlative composite second-order light-cone-gauge eigenstates to either go from working to bear a sinusoidal delineation -- to working to bear a relatively supplemental delineation, when there is a light-cone-gauge perturbation that is to go from working to exhibit a Yang-Mills or non abelian light-cone-gauge topology, to working to exhibit a Kaluza-Klein or abelian light-cone-gauge topology, or, in the ulterior case, to cause the composite second-order light-cone-gauge eigenstates to go from working to bear a relatively supplemental delineation, to working to bear a sinusoidal delineation, when there is a light-cone-gauge perturbation that is to go from working to exhibit a Kaluza-Klein or abelian light-cone-gauge topology to a Yang-Mills or non abelian light-cone-gauge topology.  Such a said torsioning is necessary, in order to work to allow for electromagnetic energy to initially to be able to re-arrange as entropic photons, when it is first disorganized by a correlative scattering -- while to then to be able to re-group and re-quantize as non entropic photons, once such electromagnetic energy has torsioned back into the general genus of the proximal local electromagnetic radiation.  Once the multiplicit photonic energy is to be re-quantized back into the general proximal local electromagnetic radiation, in so as to here to be having a Yang-Mills light-cone-gauge topology -- its Clifford algebra will then have more of a tendency of going from working to bear a primarily euler and a Dirac geometry, into working, instead, to bear a primarily euclidean and a hermitian geometry, over time.
 I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part One Of Session 13 Of Course 20

Electromagnetic energy, including all light, tends to scatter at least to some extent -- if that electromagnetic energy is not propagated in a perfectly orthogonal nature upon any given surface of any phenomenon that the given electromagnetic energy is interfacing upon.  Whenever any electromagnetic energy is orthogonal in both its transference and in its propagation through and/or upon a surface or region, the given electromagnetic energy is then here to be polarized, through and/or upon the given surface or region.  When electromagnetic energy -- in the form of quantized beams or waves -- is to be made orthogonal as a field, to any plain kinetic energy that is here to exist as a field, then, the said electromagnetic energy will tend to be absorbed, -- as opposed to instead being scattered.  If the given electromagnetic energy is not completely polarized, and is thus scattered, then, the electromagnetic energy that is here to be striking a tense of plain kinetic energy, must switch in its genus of light-cone-gauge topology -- right after the so-eluded-to light acts in so as to strike the surface of the given plain energy of such a given arbitrary case.  That would then mean, that the said electromagnetic energy that is scattered here, is then here to change temporarily from initially working to bear a Yang-Mills topology, into then working to bear a Kaluza-Klein topology.  This here would then mean, that the Clifford algebra here would convert from working to primarily bear both a euclidean and a hermitian geometry, into then working to involve primarily a euler and a Dirac geometry -- for the time being.  Once the given electromagnetic energy is scattered, the Gaussian of the stringular part of the light, will then switch in light-cone-gauge orientation by 90i degrees.  The torque given in the Gaussian, causes a spring-like torsioning, that is here to automate a reversal in the changed Gaussian.  As the Gaussian is switched by the said light-cone-gauge torsioning, the scattered electromagnetic energy is then to work to pull in upon itself -- to act in so as to work to cause the scattered light to requantize with the proximal local Yang-Mills topology -- that is in the here so-eluded-to substringular region.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.