Some Definitions

1)  Gravity -- A Chern-Simons translation of Yau-Exact directorals.

2)  Anti Gravity -- A Yau-Exact translation of Chern-Simons directorals.

3)  De Sitter Gravity -- A Harmonic Ricci Scalar metric-gauge translation, that is here to be determined through a Fourier Sequential Series.

4)  Anti-De Sitter Gravity -- An Anharmonic Ricci-Scalar metric-gauge translation, that is here to be determined through a Fourier Sequential Series.

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

The Klein-Gordan Theorem

The Klein-Gordan Theorem is, that -- for every discrete eigenstate of energy permittivity, there is a discrete eigenstate of energy impedance, acting from the reverse-holomorphic direction -- via the light-cone-gauge.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Another Part Of The Puzzle

Now, let us consider another part of the puzzle, in correspondence to the following developing metaphor.  Consider positive and negative spaces scattered together without colliding.  Consider the scattering amplitude of a vibrating oscillation, which allows opposite spaces of chirality to occupy the same general proximal locus, without canceling each other.  Consider this being done by a multiplicit path-loop rectification, -- as may be described of by a multiplicit variation of parameters, that has a Jacobean-Like Wronskian, that is here to be denoted in the said multiplicit variation of parameters of such a metaphorical general case.  Consider the integration done here, to work in so as to be describing an antidifferentiation of what may be the case of either a tightly-knit Fourier  Transformation or of a loosely-bound Laplacian Fourier Transformation. (There is here to be a relatively gradual change in the specific locus of the extrapolated eigenstates of physical states, at the level that is Poincare to the internal reference-frame of these same said extrapolated eigenstates).
Now, here is a broader manner of consideration of a similar gist of the just mentioned concept.  Metaphorically consider all of material phenomena, except for the space-hole, to be an organization of point-commutators and/or ghost-anomalies.  So, material phenomena is not just smooth space, space is what material phenomena is -- except for the space-hole.  The difference between superstrings and freely bound point-commutators in this so-eluded-to metaphor, is that the so-eluded-to strings may be thought of as being he general basis of that material phenomena that most involves what may be extrapolated, by utilizing differential equations that are both exact and linear, -- whereas, the said point commutators in this metaphor, may be thought of as being the general basis of that material phenomena that most involves what may be extrapolated, by utilizing differential equations that are both inexact and non linear.
I will continue with the suspense later!  Sincerely, Sam Roach.

Course 20, Session 13

Electromagnetic energy, including all light, tends to scatter at least to some extent -- if that electromagnetic energy is propagated in an orthogonal nature, upon any given surface of any phenomenon, that the given electromagnetic energy is interfacing upon.  Whenever any electromagnetic energy is orthogonally transferring and propagating through and/or upon a surface or region, the given electromagnetic energy is then to tend to be polarized at least in part, through and/or upon the given surface or region.  However, when electromagnetic energy, in the form of quantized beams of waves, is orthogonal as a field -- to any plain kinetic energy that exists as a field, then, the said electromagnetic energy will tend to be absorbed as opposed to being scattered.  If the given electromagnetic energy is not completely polarized, and is thus scattered to some degree, then the electromagnetic energy that is here to be striking a tense of plain kinetic energy in a manner by which it is scattered, must then switch its genus of topology, right after the light is to scatter upon the surface of the given said plain energy.  That would mean, that the electromagnetic energy that is scattered here, would change temporarily, from initially having a Yang-Mills topology to then working to bear a Kaluza-Klein topology.  This here would mean that the Clifford Algebra here, would then be converting from working to bear a euclidean and hermitian geometry, into then working to bear a euler and Dirac geometry, for the time being.  Once that the given electromagnetic energy is scattered, the Gaussian of the superstringular part of the said electromagnetic energy, is to switch back in its light-cone-gauge orientation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Positive And Negative Charges And Cohomology

An orbifold eigenset that is to rapidly cycle in a relative manner, from going back-and-forth from generating cohomology-related eigenstates to degenerating cohomology-related eigenstates, and so on, will tend to both work to bear a negative charge, be of a relatively small size, and will also tend to be brought into a motion that is of a relatively high velocity, -- whereas, an orbifold eigenset that is, instead, to gradually cycle in a relative manner, from going back-and-forth from generating cohomology-related eigenstates to degenerating cohomology-related eigenstates, and so on, -- will tend to both work to bear a positive charge, be of a relatively larger size, and will also tend to be brought into a motion that is of a relatively low velocity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Orbifold Eigensets, Charge, And Rapid Cycling

Orbifold eigensets that work to bear a Majorana-Weyl-Invariant-Mode, that is to behave at the quantum level -- in so as to bear a relatively high scalar amplitude, as to working to bear a rapid cycling of going back-and-forth -- from generating cohomology-based eigenstates to degenerating cohomology-based eigenstates, and so-on, -- often tend to bear at least some sort of magnetic-related attraction to other orbifold eigensets, that work to bear a Majorana-Weyl-Invariant-Mode that, instead, is to behave at the quantum level -- in so as to bear a relatively low scalar amplitude, as to working to bear more of a gradual cycling -- of going back-and-forth, from generating cohomology-based eigenstates to degenerating cohomology-based eigenstates, and so-on.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

More Info About The Kahler-Metric

Let us say that there is here to be the presence of a set of one or more antiholomorphic Kahler conditions -- in so as to begin what is here to be the ensuing proximal presence of a Gliosis-related tense, of the Kahler-Metric to transpire here.  Once that the said antiholomorphic Kahler-conditions are here to be taking place, over a transient duration of time -- there is then to ensue, the proximal local presence of a Wick Action eigenstate.  The ensuing kinematic motion of the just mentioned Wick Action eigenstate, is then to work to produce a potentially repelling distribution of the proximal local homotopic residue, -- which will then help to work to form a change in the consequent delineation of both the local group-attractors and the local ghost-inhibitors.  This alteration in the delineation of both the local group-attractors and the local ghost-inhibitors, will consequently result in helping in the Ward-Cauchy-related condition -- of working to allow for the right genus of both cohomological generation and cohomological degeneration -- in so as to work to help in potentially working to alter the fractal-based tense of the magnetic field, that the correlative so-eluded-to orbifold eigenset is then to begin to attain.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Interim Before Session 13 Of Course 20

Let us initially consider a superstring of discrete energy permittivity, that behaves as a single unique orbifold eigenset -- that is differentiating here in a Fourier-based manner, in so as to travel through a mean Lagrangian-based path -- as potentially being of a Yau-Exact discrete quantum of mass-bearing energy.  Let us say that -- if the so-stated superstring of this case were to change in two derivatives, as the said superstring is here in the process of traveling along a two-spatial dimensional Minkowski-based Hamiltonian operand, to where the thus formed genus of the singularity, that would thus be formed at the specific locus where the so-eluded-to change in concavity is here to happen -- would then be of a hermitian-related singularity, -- in as long as the cohomological-based tracing of the correlative integration of the ghost-based indices, that would thus be formed, were of a purely Real Reimmanian-related nature, to where there would here be no Nijenhuis nor Doubolt-based spurs to be considered in this given arbitrary case, in neither a metric nor in a Lagrangian-based manner.  Next, let us consider here, the same initially stated superstring of discrete energy permittivity, that is acting as a single given arbitrary orbifold eigenset -- that is moving via a mean path -- through a two-dimensional unitary Lagrangian-based path, that instead, is to change all of the sudden in four derivatives, as it is still moving through a two-spatial-dimensional Hamiltonian operand, immediately prior to the so-eluded-to perturbative kinematic activity -- that would then act in so as to effect the Kahler condition of the ghost-based pattern, that would here be directly affiliated with the cohomology-based mappable-tracing, that is of the so-eluded-to bosonic superstring, of which would here work to produce the conditions of a Lagrangian-based Chern-Simons singularity, that would be of a correlative Fourier-based Hamiltonian operator, that would here potentially be of some genus of a Calabi-Yau related manifold, that would be in the process of being propagated as a Noether-based set of eigenindices, that would here occasionally work to bear an influence upon a relatively loosely knit tense of a Majorana-Weyl-Invariant-Mode, immediately prior to the so-eluded-to Chern-Simons-related perturbation.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

Course 20 Session 14

There are more interactions between electromagnetic energy and its surroundings, than just Calabi-Yau and Calabi-Wilson-Gordan interactions.  In other words, light, and for that "matter," any form of electromagnetic energy, does not necessarily just scatter upon matter, and, light and any form of electromagnetic energy, does not necessarily just scatter upon plain kinetic energy too.  Light, or as well, any form of electromagnetic energy -- may also at times, scatter upon other plain electromagnetic energy itself.  So, an electromagnetic beam, or, a set of quantized electromagnetic beams, may occasionally -- scatter upon another electromagnetic beam, or, another set of electromagnetic beams. When light or any other form of electromagnetic energy, scatters upon any set of one or more electromagnetic beams -- the genus of the interactions that will then ensue to happen here, -- may then be described of here in my string theory model, as being a Calabi-Calabi interaction.  A Calabi-Calabi- interaction -- is to often be happening, under the correlative Ward-Cauchy-based conditions that are here to directly be corresponding, when as set of electromagnetic energy is to strike an ulterior set of electromagnetic energy, as as Fourier-related Yukawa transference, that may be thought of as happening at an acute angle -- at a level that is Poincare to the external shell, that is of the homological surface that is of the so-eluded-to Gliosis-related interaction.  However, if, under the correlative Ward-Cauchy-based conditions,  there is here to be, instead, a tense of an obtuse angle --  that is to be transferred at the point in duration, in which the two different said sets of electromagnetic beams are to be translated upon each other in a Gliosi-related manner, -- in so to work to form the proximal local conditions of norm-based conditions, -- that are here to be interdependently correlative, between the two given arbitrary said sets of electromagnetic energy, that have here to have struck each other -- then, the two different said sets of electromagnetic energy will consequently move in so as to quantize among each other instead.  I will continue with the suspense later! To Be Continued!  Sincerely, Sam Roach.

Schwinger-Indices And Centralized Knotting

Gauge-Bosons act, in so as to work to "pluck" their directly corresponding second-order light-cone-gauge eigenstates like a harp -- in so as to work to form those multiplicit Schwinger-Indices, -- that act along the Rarita Structure, in so as to work to help in the allowance of the four different general classifications of the general attribute of "force."  When such said Schwinger-Indices are to come together, in so as to work to form waves -- of which are here to move in such a manner, in so as to propagate in a way that is both transversal and perpendicular --  to where this is to form such waves that may vary here from bearing a wavelength that may be between 5*10^(-22)Meters in length to 4*10^(-18)Meters in length, -- this will then work to tend to form the basic increments of the gravitational force.  If however, such said Schwinger-Indices are to instead, to work in so as to help to strengthen the multiplicit eigenstates of the centralized knotting of the Rarita Structure, -- then, such a general manner of operation, is here to work to tend to help in the fortification of the strong force.  Furthermore, -- the general interaction that is to be between photons and the multiplicit light-cone-gauge, is to work to influence both the ensuing Schwinger-Indices that are thence formed, as well as working to influence those correlative Schwinger-Indices that are here to be proximal local, to such an earlier inferred general genus of operation -- will tend to work to help at forming the electrostatic force.  Consequently -- the general activity of such a so-eluded-to genus of Schwinger-Indices, -- to act in so as to work to weaken the knotting structure of the multiplicit centralized knotting of the Rarita Structure, -- will then work to help in potentially allowing to form those conditions, in which the weak force may then work to become eminent.
 I will continue the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Calabi-Interactions, Session 12

As an initially obvious statement -- electromagnetic energy not only scatters upon matter -- yet, it may also scatter upon plain kinetic energy as well.  The process of electromagnetic energy scattering upon plain kinetic energy, may be thought of as being a Calabi-Wilson-Gordan interaction.  Whenever light, or, whenever any electromagnetic energy if you will, is to be propagated through time and space, -- it is comprised of waves that are here to exist as a compilation of tiny discrete particles, that are known of as being called photons.  An individual photon has, during any given arbitrary iteration of group-related instanton, located at a positioning that is coming from the said photons reverse-holomorphic side -- the existence of a Ward-Cauchy-related phenomenology, that may be described of here as being a Fadeev-Popov-Trace eigenstate.  Such a said Fadeev-Popov-Trace eigenstate is here to be connected to the said discrete quantum of energy permittivity (the particle nature of the said "photons"), by manner of the so-eluded-to discrete quantum of energy -- by what may here be described of as a discrete first-order light-cone-gauge eigenstate.  The superstring of such a photon is here to behave as being the discrete particle-based quantum of energy permittivity; the counter string of such a photon is here to behave as being the discrete wave-based quantum of energy permittivity; the Fadeev-Popov-Trace eigenstate of such a photon is here to behave as being the discrete particle-based quantum of energy impedance;  And the first-order light-cone-gauge eigenstate of such a photon is here to behave as being the discrete wave-based quantum of energy impedance.  When one is here to to in a Laplacian-based manner -- from the given arbitrary Fadeev-Popov-Trace eigenstate of a respective case to the counter string of the same respective given arbitrary counter string of such a said case, -- then, one is here to be going in a Laplacian-based manner, in the relative forward-holomorphic direction.  With all of that in mind -- when a beam of electromagnetic energy is here to strike any given arbitrary field of plain kinetic energy, the so-eluded-to radiation may either become fully absorbed in the respective said entered field, or the radiation may be partially absorbed and partially scattered by the respective said entered field, or, the radiation may then become fully scattered by the respective said entered field.  This will depend upon both the angle and the relative delineation of the said strike of the said radiation upon the said field of plain kinetic energy. 
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Part Of What May Happen To Work To Cause Tachyonic Motion

When a superstring of discrete energy permittivity is to be both vibrating anharmonically in an odd number of spatial dimensions in the relative forward-holomorphic direction, at the duration that is right before instanton, and if, as well, the here mentioned superstring of discrete energy permittivity is to be vibrating harmonically in an odd number of spatial dimensions in the relative reverse-holomorphic direction, during the ensuing proximal local Regge Action, then, such a so-mentioned superstring of discrete energy permittivity, will then ensue to become of a tachyonic manner.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Dimensional Compactification And Stringular Settling

The general activity of that particular genus of activity that is to happen, as a superstring and its correlative counter string of discrete energy permittivity, is to go into a transient Ward-Cauchy-state of dimensional compactification, as such a quantum of discrete energy and its counter part is about to go into its ensuing iteration of group-related instanton -- tends to work to help the said superstring and its counter part to then to be able to settle into the said ensuing iteration of group-related instanton.  Consequently -- the general activity of that particular genus of activity that is to happen, as a superstring and its correlative counter string of discrete energy permittivity, is to go into a transient Ward-Cauchy-state of dimensional decompactification, as such a quantum of discrete energy and its counter part is about to go into its ensuing iteration of the Regge Action -- tends to work to help the said superstring and its counter part to then able to become prepared to go into the so-eluded-to iteration of the generally unnoticed duration of Ultimon Flow.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Partition-Based Discrepancies And Orientation

When a superstring of discrete energy permittivity is here to work, to bear a tense of superstringular orientation, during BRST -- the directly corresponding partition-based discrepancies that are of the correlative superstring of discrete energy permittivity, are here to be completely assymetrical in delineation towards its correlative counter string -- over the course of the self-same iteration of the said increment of BRST.  This may then be said to bear a condition, of such a Ward-Cauchy-related field, that is here to be in-between the said superstrings and its correlative counter string -- to be of a homeomorphic nature.  However -- if the Beti number that is here to be directly corresponding to a discrete quantum of energy -- from right before an interation of BRST, is to be of an odd number, then, both the directly corresponding superstring and its correlative counter string, will, in an individually taken manner -- at such a so-eluded-to point in duration, that is here to be just before an iteration of group-related instanton, to act in so that it will be vibrating annharmonically in an odd number of spatial dimensions in a holomorphic manner, that is here respective to the same number of spatial dimensions that such a superstring and its correlative counter string, will both individually contract by, when this is taken at the said general instance, that is here to be at the moment just before the said iteration of group-related instanton.  (BRST being at the beginning of the said instanton.)  When the just mentioned general tendency of vibration, is to happen to a respective superstring and its correlative counter string, then, the earlier said tendency of a homeomorphic field -- is to not to be able to happen.  This will then tend to work to cause such a so-eluded-to discrete quantum of energy, to not to be orientable during the here correlative iteration of the Beti Action.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Orbifold Eigensets And Orientable Manifolds

Whenever an orbifold eigenset is conditioned to be of an unorientable nature -- this will then be of such a Ward-Cauchy-related condition, to where -- those discrete energy quanta that are to work here to act, in so as to comprise the said orbifold eigenset, are to be, as well, of an unorientable nature.  Yet, consequently, whenever the superstrings of discrete energy permittivity -- that are to here to be of a directly corresponding orbifold eigenset -- are to be conditioned to be of an orientable nature, then, the correlative respective orbifold eigenset as a whole, will, as well, act in so as to be of an orientable nature.  Gauge-Bosons will always tend to work to display, the same number of spatial dimensions, as whatever the number of spatial dimensions that the directly corresponding core field that the multiplicit affiliated superstring of discrete energy permittivity will then tend to display.  Consequently -- since the core field of any one given respective superstring of discrete energy permittivity, is to tend to have one more spatial dimension than such a said string, -- not only is an orbifold eigenset to tend to bear just as many spatial dimensions as all of the individually taken superstrings of discrete energy permittivity, that are here to work to comprise the said eigenset, -- yet also, -- all of the gauge-bosons that are here to be most directly affiliated with such an orbifold eigenset, will tend to bear one more spatial dimension than the orbifold eigenset will tend to have, at an internal reference-frame.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Compact Manifolds

If an orbifold eigenset is to be of a cotangent bundle of phenomenology, that is here to be of a given arbitrary number of spatial dimensions, then, such an orbifold eigenset that is consequently to be moving via the general manner of Noether Flow, is said to work to maintain -- during the course of the correlative evenly-gauged Hamiltonian eigenmetric, in which it is here to be of a compact nature -- then, the  general Ward-Cauchy-related condition, of remaining as a manifold of a discrete overall quanta of energy, that is here to be of one specific number of spatial dimensions, will then be at what is here to be at the vantage point of a relatively respective internal reference-frame.  This will then mean, -- that if an orbifold eigenset is to be of what is to here to be of a compact nature, -- that, as this is to be in the process of being the general case -- that, for each of such so-eluded-to iterations of group-related instantons, that the Beti number that is here to be of the individually taken superstrings of discrete energy permittivity, that are here to work to help at comprising the earlier mentioned orbifold eigenset -- as it is to be just about to enter the Ward-Cauchy-related process of group-related instanton, is to be of the same absolute value of such a correlative Beti number, that is here to be of the individually taken superstrings of discrete energy permittivity that are here to work to help at comprising the earlier mentioned orbifold eigenset -- as it is to be entering the ensuing general gauge-action of the Regge Action.  This will then mean -- that the Beti number for all of the individually taken superstrings that are here to work to comprise the said orbifold eigenset, at a vantage-point of such a respective eigenset, as it is to be just about ready to enter its correlative iteration of group-related instanton, is to be of an even positive integer (for compactification), as well as the Ward-Cauchy-condition, that all of the individually taken superstrings that are here to work to comprise the said orbifold eigenset, at a vantage-point of such a respective eigenset -- as it is to be working to enter its ensuing iteration of the Regge Action, is to be of an even negative integer (for decompactification) (to where the earlier mentioned positive integer is to bear the same scalar matgnitude from zero as the earlier mentioned negative integer), to where such said superstrings of such a given respective case, are to here to not vary in the number of spatial dimensions that these are here to have, over the correlative so-eluded-to sequential series of the directly corresponding iterations of BRST.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Anharmomic Vibration And Stringular Compactification

When an orbifold eigenset is to compactify by one given arbitrary number of spatial dimensions, then, all of the superstrings that are of the same one respective given arbitrary orbifold eigenset of such a case, will compactify by the same number of spatial dimensions.  So, all of the individually taken superstrings of discrete energy permittivity, that are here to work to comprise one correlative given respective orbifold eigenset -- will be vibrating in an anharmonic manner in a holomorphic manner, in the same number of spatial dimensions, -- at that general point in duration, that is here to be at the general moment that is to be taken right before the start of the correlative beginning of one specific iteration of group-related instanton.  So, if one individually taken superstring of discrete energy permittivity, is to be orientable during a correlative iteration of the Beti Action, -- then, all of the individually taken superstrings of discrete energy permittivity that are of the same orbifold eigenset, will be orientable during the self-same correlative iteration of the Beti Action.  Consequently -- if one individually taken superstring of discrete energy permittivity, is to be unorientable during a correlative iteration of the Beti Action, -- then, all of the individually taken superstrings of discrete energy permittivity that are of the same orbifold eigenset, will be unorientable during the self-same correlative iteration of the Beti Action.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Superstringular Distortion Right Before BRST

If the distortion that is here to happen to any one given arbitrary superstring of discrete energy permittivity, right before such a said string is to go into its next ensuing iteration of instanton, is to be of a harmonic nature -- then, such a said given arbitrary respective superstring of discrete energy permitttivity, shall, at the said general point in duration that is to here to be right before the so-eluded-to start of its ensuing iteration of instanton, to work to bear an anharmonic vibrational oscillation in the relatively forward-holomorphic direction in an even number of spatial dimensions, at the said earlier mentioned general point in duration.  The said string is to then to compactify in an even number of spatial dimensions at the general point that is right before instanton in this given respective case.  This will then work to helping to allow the said superstring to be orientable during the ensuing Beti Action, -- since this will then work to help such a said superstring to bear a homeomorphic field, that is here to be accounted for, in-between the directly corresponding string and its correlative counter string.  However -- if the distortion that is here to happen to any one given arbitrary superstring of discrete energy permittivty, right before such a said string is to go into its next ensuing iteration of instanton, is to be of an anharmonic nature -- then, such a said given arbitrary respective superstring of discrete energy permittivity shall, at the said general point in duration that is to here to be right before the so-eluded-to start of its ensuing iteration of instanton, to work to bear anharmonic vibrational oscillation in the relatively forward-holomorphic direction in an odd number of spatial dimensions at the said earlier mentioned general point in duration.  The said string is to then to compactify in an odd number of spatial dimensions at the said general point, that is right before instanton in this given respective case.  This will then work to help to cause the said superstring to be unorientable during the ensuing Beti Action, -- since this will then work to cause such a said superstring to Not to be able to bear a homeomorphic field that would here to be accounted for, in-between the directly corresponding string and its counter string.  I will continue with the suspense later!  To Be Continued! 
Sincerely, Samuel David Roach.

Some Basic Information As To The Slater Equation

The main purpose as to what the Slater Equation is utilized for, in the microscopic realm -- is to show what the mean Lagrangian-based path is, that may be translated -- through a correlative Hamiltonian operand.
I will continue with the suspense later!  To Be Continued!  Sincerely Samuel David Roach.

Orbifolds And Abelian Nature

Let us initially consider an orbifold eigenset.  All of the discrete quanta of energy that work to help comprise the just mentioned orbifold eigenset, will work to conform to the same tense of a genus of a light-cone-gauge topology.  So, if one were to have an orbifold eigenset that is here of a Kaluza-Klien light-cone-gauge topology, then, all of those discrete quanta of energy that are here to work to comprise the said orbifold eigenset -- will as well work to bear a Kaluza-Klein light-cone-gauge topology.  Furthermore, -- if one were to have an orbifold eigenset that is here of a Yang-Mills light-cone-gauge topology, then, all of those discrete quanta of energy that are here to work to comprise the said orbifold eigenset -- will then work to bear a Yang-Mills light-cone-gauge topology, and for the same apparent reason.  A Kaluza-Klein light-cone-gauge topology is said to be abelian, whereas, a Yang-Mills light-cone-gauge topology is said to be non abelian.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Schwinger-Indices And Mass

Let us initially say that one is here to be considering a mass-bearing phenomenon -- that is here to be comprised of many orbifold eigensets, that are to come together, in so as to work to form one complete entity.  Each of the discrete quanta of energy, that are here to work to help in the process of comprising the so-eluded-to relatively macroscopic phenomenology of mass -- are to be emitting a propagation-related set of Schwinger-Indices, that are to come together in so as to work to form gravitational waves.  As such said gravitational waves are to here to be propagating outward -- in a manner that is both perpendicular and transversal over time, -- such a said propagation of gravitational waves, in turn, is, in the process of such a set of so-eluded-to vibration-related oscillations, that are to here to be tugging relatively outward, are to work to help in the "tightening" of certain eigenstates, that are of the centralized knotting of the Rarita Structure.  Such a said process of a tightening of those so-stated eigenstates, that act as nodes along the Rarita Structure, is, in turn, to help in the process of working to form the needed attributes of the strong force.  This should make things clearer to the reader.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Schwinger-Indices And The Strong Force

The propagation of Those Schwinger-Indices over time -- that are here to come together, in so as to work at forming gravitational waves -- works to help at tightening the region at which there are those eigenstates, that are here to be of the centralized knotting of the Rarita Structure.  Such a said "tightening" of those eigenstates, that are here of the centralized knotting of the Rarita Structure, consequently works to help at forming mesons such as gluons.  This then works to mean, that the Propagation of gravitational waves, works to help at forming those essential attributes, that are here to be needed, in so as to help at forming the strong force.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

i*PI(del) Action And Magnetism

The lower that the rate is of the i*PI(del) action -- at internal reference-frame -- of any one given arbitrary relative proximal local tense of a Ward-Cauchy-related region, at which a given arbitrary orbifold eigenset is to be over time, the higher that the relative tense of the directly corresponding reverse-fractal of magnetism will tend to be at a level that is less microscopic.  Likewise, -- the higher that the rate is of the i*PI(del) action -- at an internal reference-frame -- of any one given arbitrary relative proximal local tense of a Ward-Cauchy-related region, at which a given arbitrary orbifold eigenset is to be over time, the lower that the relative tense of the directly corresponding reverse-fractal of magnetism will tend to be at a level that is less microscopic.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Frequency And General Tense Of Majorana-Weyl-Invariant-Mode

The higher that the general tense of the frequency of the vibration of an orbifold eigenset is to be -- when this is to be taken as to the frequency, that is of the rate at which the said orbifold egienset is to be oscillating at at its internal reference-frame -- this will then tend to work to help at causing a lower tense of a Majorana-Weyl-Invariant-Mode, than an ulterior orbifold eigenset, that is here to be vibrating at a lower frequency.  If any one given arbitrary orbifold eigenset is to, instead, to bear a higher tense of a correlative Majorana-Weyl-Invariant-Mode -- over an evenly-gauged Hamiltonian eigenmetric -- then, it will then tend to work to bear a tense that is of its composite strings, -- that will, in such a case, tend to be of a lower frequency of their correlative vibrational oscillations, -- to where such a so-eluded-to set of discrete energy that is to perform one specific function over time (of which is a general description of an orbifold eigenset), will then tend to bear more of a resonant vibration, as such a set of superstrings that are here to work to help at comprising the said orbifold eigenset, will, at a reverse-fractal tense, tend to bear a higher tense of magnetism, than a respective set of orbifold eigensets will tend to have, -- at a reverse-fractal tense from the Ward-Cauchy bounds of such a here considered orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel  David Roach.

Conductance And Majorana-Weyl-Invariant-Mode

When one is to have a given arbitrary set of physical phenomenology -- that is to bear composite individually taken orbifold eigensets, that are here to work to bear a relatively high tense of a Majorana-Weyl-Invariant-Mode,  -- then, such said individually taken orbifold eigensets, that are here to make up the said given arbitrary set of physical phenomenology, are here to come together in a way, that is to tend to work to bear a relatively high tense of both conductance and compacitence.  Consequently, -- when one is to have a given arbitrary set of physical phenomenology -- that is to bear composite individually taken orbifold eigensets, that are here to work to bear a relatively low tense of a  Majorana-Weyl-Invariant-Mode, -- then such said individually taken orbifold eigensets, that are here to make the said given arbitrary set of physical phenomenology, are here to come together in a way, that is to here to tend to work to bear a relatively low tense of both conductance and compacitence. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Orbifold Re-Bounding And The i*PI(del) Action

Let us initially consider an orbifold eigenset -- that is of a mass-bearing tense of discrete energy permittivity, that is here to be transferred back-and-forth, -- along a congruent Stoke's-based path, in so as to accelerate in one general direction, from an initial "stand-still", to then reaching its peak of its acceleration at one-fourth of the way along its general path, to then slowing down to a stand-still at one-half of the way along its general Stoke's-based path, to then accelerating up to its peak rate of transfer at three-fourths of its way along its general path, to then slowing down to a relative standstill, at the end of its here to be relatively antiholomorphic positioning.  As this orbifold eigenset is to be accelerating, in so as to then to be losing its correlative partition-based discrepancies at a relatively increased rate -- to then thereby later, to be accelerating in the opposite general direction, -- such a kinematic perturbation that is here to be happening, is here to be increasing in its rate.  As the orbifold eigenset is here to be decelerated in its rate of transfer, it will then work here to involve a decrease in the rate of its correlative i*PI(del) action. Let's try to consider here, that the end-points eluded-to, are here to work to form a pattern of the delineation of the overall gauge-metric, that is here of the inferred transfer of the said orbifold eigenset,  to where such a said eigenset is to go in a back-and-forth manner -- along the earlier mentioned Stoke's-based path, over time.  Each time that the said orbifold eigenset is to act in so as to reverse in its relative holomorphic direction, such a so-inferred antiholomorphic set of conditions may then work to delineated a Wick Action eigenstate, that is then to spontaneously enact an ensuing pattern, in which the orbifold eigenset of such a given arbitrary case is then to be about to be made as Gliosis to the Kaher-Metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wave-Tug Upon Mass-Bearing Superstrings

Superstrings that are of kinetic-energy-related phenomenology -- tend to be open-looped superstrings of discrete energy permittivity, to where such said strings will, as well when individually taken, tend to be of an isotropically stable nature.  The more of a homogeneous wave-tug, that is here to be applied By a set of Legendre-based superstrings Towards a given arbitrary set of orbifold eigensets of mass-bearing superstrings, over an evenly-gauged Hamiltonian eignemetric -- the faster that the velocity of the so-eluded-to mass-bearing strings, will then tend to be transferred, in that relatively holomorphic direction -- that is here to conform to both the manner and the application of the earlier mentioned homogeneous wave-tug.
Such an increase in relative velocity -- by the increased wave-tug of a set of Legendre-based strings upon a set of closed-stringular phenomenology, will then, in turn, tend to work to increase the scalar amplitude of the here correlative Lorentz-Four-Contraction over time.  Such an increase in Lorentz-Four-Contraction will, in turn, work to increase the correlative rate of the i*PI(del) Action, -- over the proscribed so-eluded-to evenly-gauged Hamiltonian eigenmetric.  The faster that the Lorentz-Four-Contraction is to be increased -- the quicker that the correlative i*PI(del) Action will result in accelerating. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

i*PI(del) Action and Majorana-Wayl-Invariant-Mode

The greater that the scalar amplitude of the correlative Majorana-Weyl-Invariant-Mode is to be, for a given arbitrary orbifold eigenset (over time), at a relatively internal reference-frame -- the less likely that there will tend to be an attribute of a Lorentz-Four-Contraction, upon the earlier mentioned said orbifold eigenset.  The less that there is an attributed Lorentz-Four-Contraction, to be enacted upon any one given arbitrary orbifold eigenset over time, -- the less that there will be a tendency of the said orbifold eigenset, to then be going through the process of gaining and/or loosing a scalar amount of what I term of as being "partition-based discrepancies.)  The less that there is here to be neither a gain and/or a loss of partition-based discrepancies over time, -- the less that there will consequently be, the kinematic activity of what is here to be a proximal local tense of what I term of as being the i*PI(del) Action.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Rate Of i*PI(del) Action

The quicker that a mass-bearing orbifold eigenset is to approach light speed, the quicker that such a said eigenset is to attain a respectively greater Lorentz-Four-Contraction -- over the so-eluded-to duration of terrestrial time.  The quicker that the respective Lorentz-Four-Contraction is to increase, for any one said given arbitrary orbifold eigenset -- the quicker that the directly corresponding partition-based discrepancies, that are correlative to the so-eluded-to individually taken superstrings that work to comprise the said orbifold eigenset, will decrease in their correlative scalar quantity.  This will then work to result, in a relatively increased rate in the directly corresponding i*PI(del) action -- that is here to be proximal local to the relatively internal reference-frame of the said orbifold eigenset.  Consequently, a rapid change in the Lorentz-Four-Contraction of this given arbitrary case (the corrilary of this is apparent, too -- and this thus works in the reversal of such a soon mentioned tendency), will then result in a rapid loss of those partition-based discrepancies -- that work to form the correlative tense of the homotopic residue, that may be attributed to the topological-related holonomic substrate, of those superstrings that work to comprise their directly corresponding orbifold eigenset.  Yet, as stated in similar words before, -- when an orbifold eigenset is to increase in the rate of its velocity, -- the decrease in the number of partition-based discrepancies, that are of those individually taken superstrings that work to comprise one said orbifold eigenset -- is accompanied by a proportional increase in the number of superstrings of discrete energy permittivity, that work here to comprise the said orbifold eigneset, -- thereby, this general tense of activity may then work at helping to tend to work to allow for a conservation of the proximal local state of homotopic residue.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Why The i*PI(del) Action Is Named As Such

Let us -- in this given arbitrary case scenario -- consider the forward-holomocphic direction of one respective given arbitrary un-scattered photon,  to be going in such a direction, in so as to be moving relatively forward "into the page."  In such a given situation, the placement of its one attributed partition-based discrepancy, will be delineated here -- at a proximal locus, that is here to be at the relative "PI" positioning of the directly corresponding superstring of discrete electromagnetic energy permittivity.
All motion is relative to both the motion and the existence of electromagnetic energy.  This is part of as to why that I am here, to call the activity of the transference of partition-based discrepancies -- as being that term in which I am to call this to be the "i*PI(del) Action."
I will continue with the suspense later! To Be Continued!  Sincerely Samuel David Roach.

Spur In Acceleration

Whenever a given arbitrary orbifold eigenset is to change in the rate of its acceleration, over a given arbitrary evenly-gauged Hamiltonian eigenmetric, -- then, the spread of the activity of its correlative i*PI(del) action-related indices, -- will here have a tendency of not being delineated or applied smoothly in an overall homeomorphic manner, over the course of the here mentioned evenly-gauged Hamiltonian eigenmetric, that is here to be considered in the course of the Fourier-related activity of such a said respective orbifold eigenset, this orbifold eigenset of which is here to be transferred through space and time over the so-eluded-to duration.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach. 

Evenly-Smooth Application Of i*Pi(del) Action

Whenever one is to have a given arbitrary orbifold eigenset -- that is here to work to maintain its genus of spatial dimensionality, in which the directly corresponding homotopic residue is to be conserved, over a given evenly-gauged Hamiltonian eigenmetric -- from the vantage-point of the internal reference-frame of such a said respective orbifold eigenset -- there is then to tend to be an evenly-smooth application of the directly corresponding given arbitrary i*PI(del) Action. This will then tend to mean, -- that the respective given arbitrary orbifold eigenset of such a case, will then tend to maintain the tense of its rate of the acceleration of its pulsation, over the course of the duration of such a respective evenly-gauged Hamiltonian eigenmetric.  This will then tend to mean, that the so-eluded-to set of discrete energy quanta, that are here to operate to perform one specific Ward-Cauchy-related function -- will then tend to bear no metrical-related "spurs" in its so-eluded-to acceleration. This will then work to tend to mean -- that, over the so-mentioned Hamiltonian eigenmetric, -- that the said eigenset will, over the course of the so-eluded-to duration that is here to be extrapolated, tend to work to bear no spurs in its metric-based Chern-Simons singularities, -- since there is here to be no alteration in the acceleration of its dimensional-related pulsation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To The i*PI(del) Action

The resultant of the exchange of what I have mentioned in the past as to be partition-based discrepancies, is what I term of as being the phenomenology of homotopic residue.
That action that is then to occur, in so as to work to create any given arbitrary state of homotopic residue -- is what I term of as being the "i*PI(del) Action."
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Certain Genus Of Low Flow Of Homotopic Residue

Let us consider a case scenario -- in which there is here to be a mass-bearing orbifold eigenset, that is to maintain the rate of its "velocity," -- over an evenly-gauged Hamiltonian eigenmetric.  Orbifold eigensets -- that are here to be comprised of by mass-bearing superstrings of discrete energy permittivity -- that are of a tightly-knit tense of a Majorana-Weyl-Invariant-Mode, are to work to bear an internal reference-frame, that is here to bear a basically non-existent tense of a correlative Lorentz-Four-Contraction, -- when such a tense of the said Lorentz-Four-Contraction, is here to be relativistic to the "vantage-point" of such a so-stated internal reference-frame.  The less that the Lorentz-Four-Contraction is to be, for any one given arbitrary orbifold eigenset, the higher that the scalar amplitude of the here correlative Polyakov Action eigenstate, is then to tend to enfold as.  The higher that the scalar amplitude of the correlative Polyakov Action eigenstate is to be, for any one given arbitrary orbifold eigenset of such a respective case, the more partition-based-discrepancies that will then tend to be present per individually taken superstring of discrete energy permittivity -- along the Laplacian-based flow of that topological stratum, that is here to be taken -- along the contour of the directly affiliated surface, that is Gliosis to the surface of the said composite individually taken superstrings of discrete energy permittivity -- when this is taken at the Poincare level to the core-field-density of the here mentioned individually taken superstrings.  This will then tend to mean, that any given arbitrary orbifold eigenset, that is here to work to bear a tightly-knit tense of a Majorana-Weyl-Invariant-Mode, when this is as taken at the internal reference-frame of the said orbifold eigenset -- the less of a tendency that there will then be, of there being the presence of a proximal local Fourier-related exchange, of those said partition-based-discrepancies, that are here to be directly corresponding to the individually taken superstrings of discrete energy permittivity, that are here to work to comprise those mass-bearing strings, that are here to work to comprise the said orbifold eigenset.  This will then work to mean, -- that there will here, in this case scenario, be a lower scalar amplitude of the resultant process of the Ward-Cauchy-based conditions of homotopic residue, for such a said orbifold eigenset, than there would otherwise be existent, for an orbifold eigenset, that is to, instead, be of the nature of either not being superconformally invariant, or of such a condition as to at least not being of such a tightly-knit tense of superconformal invariance -- at an internal reference-frame.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David.

Magnetism And The Right-Hand-Rule

As a beam of electromagnetic energy, is here to be propagating through time and space -- the correlative respective magnetic field, that is of such a case, is here to be wrapped around the correlative respective electric field, as is to be considered as by what is here to be called, -- the "right-hand-rule."
Let us here to be considering such a said propagation of electromagnetic energy -- to be traveling through the medium of a vacuum.  Next, let us consider that such a said beam of electromagnetic energy, is here to be set at one given arbitrary wavelength.  Such a said wavelength, is here to be the scalar distance -- that is here to be directly associated with one compete cycle of the fluctuation of the directly corresponding respective electric field.  Let us next say that the forward motion of the propagation of the correlative electric field, is here to be considered as the relative forward-holomorphic direction.  So, as a beam of such a tense of electromagnetic energy -- that is to here to be propagated by the distance of the so-eluded-to wavelength, that is of the so-eluded-to light-like phenomenology -- then, the directly corresponding magnetic field, that is here to be wrapped around the directly corresponding electric field, is to spiral in a clockwise manner -- around the respective electric field by one complete increment of cycle.  The larger that the wavelength of the light-like phenomenon is to be, the less tightly that the helicity or the spiraling will be, of the Laplacian-related torsion of such a said case -- when this is in consideration of the respective magnetic field to be wrapping around the respective electric field.  Consequently -- the smaller that the wavelength of the light-like phenomenon is to be, the more tightly that the helicity or spiraling will be, of the Laplacian-related torsion of such a case -- when this is in consideration of the respective magnetic field to be wrapping around the respective electric field.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Fluctuation In Electric Field

The wavelength of a beam of any given arbitrary tense of electromagnetic energy, is equal to one complete oscillation of the fluctuation of the directly corresponding respective electric field.
Here's one way of looking at what is here to be meant by "the fluctuation of the directly corresponding electric field."
Let us consider a metaphorical "shaft of brightness," that is here to be at one given arbitrary maximum cross-sectional measure of thickness, for such a so-eluded-to beam.  Let us now say that this said respective shaft, is here to be traveling in a vacuum -- to where it will be propagated, in so as to be traveling as straight as the general innate bending of space and time is to be designated-- along the general course of space and time.  As this said "shaft of brightness" is to be propagated along the general course of space and time -- the so-eluded-to projected beam of brightness, that is here to be linearly delineated, will then tend to go from smoothly decreasing in its cross-sectional thickness, to then going into smoothly re-gaining its initial so-eluded-to cross-sectional thickness, and back again.  In the meanwhile, the center of such a harmonic tense of a fluctuation is to be going as perfectly straight -- as the natural bending of space and time will tend to allow. The scalar distance that is to be considered here, as being taken along the vantage-point, of an extrapolation that is here to be Poincare to the topology-related center of such a so-named shaft of brightness, in which there is here to be the completion of one whole individually taken tense, of the earlier mentioned harmonic perturbation in the cross-sectional thickness of the so-eluded-to beam -- may be here to be analogous to what is meant -- as to what is here to be happening to a beam of electromagnetic energy, as it is here to be harmonically fluctuating in its electric field over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Kinetic Energy Associated With Mass-Bearing Superstrings

The higher that the quantum of Legendre-related superstrings of discrete energy permittivity, that act in so as to work to form a wave-tug upon a set of mass-bearing superstrings of discrete energy permittivity -- over an evenly-gauged Hamiltonian eigenmetric -- the more kinetic energy, that is here to then tend to be directly associated with the said mass-bearing superstrings of discrete energy permittiivty, that is of this so-mentioned given arbitrary case.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wave-Packet

Since a soliton is a phenomenon of the holonomic substrate of a cotangent bundle, that is of a Complex or of a Njenhuis-related manifold -- that is: 1) To work to bear a flat Ricci Curvature.
                                                                     2) To bear no net change in the absolute value of the
                                                                          correlative magnitude of the index of its Beti number.
                                                                      3) To bear a Fourier-related activity -- that is to work to
                                                                           bear the delineation of a holomorphic vector field.;
Then, any given arbitrary example of the holonomic exhibition of a soliton -- is to act as one given arbitrary general genus of a "wave-packet" -- that is to work to bear its kinematic presence, as it is to be acting as a Ward-Cauchy-related Hamiltonian operator, as it is here to be present in the arena of time and space.

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

Some Stuff As To Discrete Energy And Homotopic Residue

Discrete energy -- particularly superstrings of discrete energy permittivity, -- tend to be delineated at the central cite of merging, that exists here between the cohomological convergence and the cohomological divergence of homotopic residue.  Homotopic residue is created by the general interdependent interaction of electromagnetic energy, with other phenomenology of discrete energy.  Partition-Based-Discrepancies exist, due to the Ward-Cauchy-based homotopic conditions, that are of the kinematic vibrations of discrete phenomena, of what works here to involve the general interaction -- that is here to exist between energy permittvity and the presence of the correlative gauge-bosons.  As mass-bearing discrete energy -- when this is here to be taken in terms of the kinematic activity of one distinct given arbitrary orbifold eigenset -- works in such a case to approach the velocity of light, -- then, the number of partition-based-discrepancies that are to exist here among the here correlative individually taken superstrings of discrete energy permittivity -- that work to comprise the mentioned orbifold eigenset, is thus to decrease, -- while in the meantime, -- the number of such superstrings of discrete energy permittivity, that work to comprise the so-eluded-to set of discrete quanta of energy, that operate to perform one specific function, is instead to increase.  This works to help, in the process of working to conserve homotopic residue.  This, in tact, works to help to allow for the continued kinematic motion of mass -- as such a mass is to here to be taken, when this is to be taken -- relative to both the motion and the existence of electromagnetic energy.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Cohomological Generation And Majorana-Weyl-Invariant-Mode

Mass-Bearing superstrings of discrete energy permittivity, are Yau-Exact.  Superstrings that are capable of generating as much cohomology as these are to degenerate over time -- are said to be of a Yau-Exact nature.  Mass-Bearing superstrings of discrete energy permittivity, have the general tendency of being superconformally invariant at an internal-reference-frame, and are thus said to bear, what I term of as being of a Majorana-Weyl-Invariant-Mode.  An orbifold eigenset is a set of discrete quanta of energy, that operate in so as to perform one specific function.  An orbifold eigenset is said to work to bear a De Rham cohomology -- when it is to work to bear no metric nor Lagrangian-based Chern-Simons singularities.  Consequently, an orbifold eigenset is said to work to bear a De Rham cohomology -- when it is to work to bear both hermitian metric and hermitian Lagrangian-based singularities.  When an orbifold eigenset, that is here to consist of mass-bearing superstrings of discrete energy permittivity, is to bear a De Rham cohomology, -- then it is then to be working to exemplify its capacity of exhibiting a tendency of being of a Yau-Exact nature.  The greater that the scalar amplitude is, of the correlative Majorana-Weyl-Invariant-Mode, of any one given arbitrary orbifold eigenset -- the more tightly that there is here to be a consequent relatively even trade-off of the directly corresponding generation and degeneration of both cohomological eigenstates and cohomological eigenindices, over a demonstrable evenly-gauged Hamiltonian eigenmetric.  The more of a relatively even trade-off that there is here to be, of the directly corresponding generation and degeneration of both cohomological eigenstates and cohomological eigenindices, that there is here to be, for any one given arbitrary orbifold eigenset -- over a demonstrable evenly-gauged Hamiltonian eigenmetric, -- the less often that the vibrational oscillations of the directly corresponding superstrings of discrete energy permittivity, that work to comprise such a said orbifold eigenset, will tend to need to re-adjust -- without the potential of slippage, in so to persist at working to bear a relatively orthogonal wave-tug at the Poincare level,  upon those physically-based norm-state-projections that these are to come into a Gliosis-related contact with, in the process of working to bear a homology-related geometry, that is of an abelian nature.  The reason as to why bosonic superstrings work to bear less of a tendency of that "slippage," that would otherwise work to allow for less of an orthogonal wave-tug impartation at the Poincare level (as is with superstrings that are, instead, to be of a Legendre homology), is in part, because bosonic strings are closed-loops of topological stratum, that are comprised of by "beads" of first-ordered point particles that are inter-laced by mini-stringular segmentation, while the said physically-based norm-state-projections that I have here mentioned -- are relatively small sets of first-ordered point particles, that are bound by chords of one or more strands of mini-stringular segmentation.  Ward-Cauchy-related discrete quanta-based phenomenology, is delineated by one Planck-Length and/or one Planck-Radii -- per iteration of BRST -- while such discrete quanta of energy, are to be constantly vibrating in the process (not to mention the then present activity of both the Polyakov Action and the Beti Action).  This is while the norm-state-projections mentioned, are to constantly to be moving from within their correlative individually taken sets of parallel universes.  Consequently -- as norm-state-projections are to come into a Gliosis-related contact with a bosonic string -- then, such a general genus of interaction -- will tend to be driven in the "direction" of altering its position, along the topology of the so-eluded-to closed string, until it is to come into a spot, -- where there is to be the exhibition of a relatively orthogonal wave-tug interaction, that is here to be at the Poincare level of the so-eluded-to Yukawa-related coupling.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cohomology And Adjustment Of Manner Of Oscillation

Bosonic superstrings of discrete energy permittivity, work to help to form both the presence of both cohomological eigenstates and cohomological eigenindices, over time.  Cohomologies work to involve the integration of grouping abelian states -- that are here to exist as geometrical eigenstates and geometric eigenindices -- that are here to be formed by the interaction of superstsringular phenomenology with physically-based norm-state-projections, -- in so as to work to form geometric entities, that work to make a direct wave-tug imparting with the Ward-Cauchy-related phenomena, that these are to come into a Gliosis-based contact with.  When a bosonic superstring of discrete energy permittivity, is to come into a direct or a Gliosis-related contact with such so-stated norm-state-projections -- there is here to tend to be a relatively orthogonal interaction between the topology of the said superstring, with the holonomic substrate of the said norm-state-projections -- at the Poincare level.  Cohomologies are comprised of by abelian groupings -- because bosonic superstrings, since these are here to be of a closed-looped nature, work to bear relatively less slippage than open-looped or open-stranded strings of discrete energy permittivity happen to do.  Bosonic superstrings adjust their vibrational mode, in so as to work to allow for such a said general genus of a lack of slippage to exist -- in so as to work to allow for the said relatively orthogonal wave-tug-based contact at the Poincare level, with those norm-state-projections that these are to strike, in a Gliosis-related manner -- by altering in the torsioning of their vibrational oscillations, -- in so as to work to allow for such a said direct wave-tug-related contact to persist, in so as to work to help to allow for the continued formation of abelian-related groupings to then to be able to form that general tense of cohomology-related structure, that the kinematic activities of bosonic superstrings are here to work to impart.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Proximal Local Generation Of Cohomology

Let us initially consider a given arbitrary bosonic superstring of discrete energy permittivity -- that is here to be increasing in the scalar amplitude, as to the general amount of cohomology, that it is here to be generating over a set duration of time.  This will then work to mean, that the general amount of cohomology-related eigenstates, that the said discrete quantum of energy permittivity will tend to be producing (to where this so-eluded-to set of cohomology-related eigenstates, of which are here to be produced by the process of the vibrational oscillations, that are of the here given arbitrary bosonic superstring), over the course of one evenly-gauged Hamiltonian eigenmetric --, will then be increased to a greater general amount of cohomology-related eigenstates, over the course of an ensuing but equal scalar amplitude of an evenly-gauged Hamiltonian eigenmetric.  The more cohomology that is to be generated by a given arbitrary bosonic superstring of discrete energy permittivity over time, the more that physically-based norm-state-projections will tend to be drawn-in or convergent upon the correlative cotangent bundle -- that is here to be directly corresponding to the internal reference-frame of the kinematic-related covariant Lagrangian, that is to be of the proximal locus, that is here to be adjacent to the core-field-density of the moving overall vibrational oscillation of the directly corresponding superstring of discrete energy permittivity -- that is here to work to be directly involving the mappable-tracing, that is of the said discrete quantum of energy permittivity, as it is here to be transferred through its correlative Hamiltonian operand over time. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Ward-Suppplemental Behavior

Let's say that an orbifold eigenset is to undergo a change in its path and motion -- that is to here to  work to result in bearing a set of antiholomorphic Kahler conditions.  The said orbifold eigenset is to here to come into a Gliosis-based contact with a topological surface -- in so as to rebound, in such a manner in so as to work to form a tense of a Ward-Supplemental behavior.  Let us next say that the said orbifold eigenset, is to be of a d-field.  The so-eluded-to set of discrete quanta of energy of such a case, that are here to operate in so as to work to perform one specific substringular function -- are here to be traveling through a medium of six spatial dimensions plus time -- in the process of working here, in so as to be undergoing the said tense -- that is to involve the state of what are known of as antiholomorphic Kahler conditions.  Let's next stipulate, that although the so-eluded-to spontaneous rebounding of the said orbifold eigenset, is to be brought into an antiholomorphic direction from its initial tense of holomorphic flow, if this is here to be considered in two spatial dimensions plus time -- to thereby theoretically be back-tracking at 180 degrees in such a perception, -- yet to where in reality, the physical condition of there to here be a situation, that is here to involve six spatial dimensions instead of two spatial dimensions, will then work to mean, that the said orbifold eigenset will then work to potentially bear four spatial directorals here,  that will be rebounding at an angle that is potentially Not of 180 degrees.  For instance, one may often have a case, to where a d-field that is to bear a Lagrangian-based path that is six dimensional, that is to bear antiholomorphic Kahler conditions, by being brought into a Ward-Supplemental path, -- will bear its four ulterior directorals that are thereby here to Not be of 180 degrees, to be as subtended as 135 degrees (phi1 hat), 157.5 degrees (theta1 hat), 202.5 degrees (phi2 hat), and 225 degrees (theta2 hat) (To where the "hat" here, is to represent the presence of the individually taken directorals).  As the motion of the said orbifold eigenset is to then to bear a set of  antiholomorphic Kahler conditions, -- it will here to be definitely be altering in its dimensional-related pulsation, -- and thereby it will definitely work to bear a set of metric-based Chern-Simons singularities.  If the said orbifold eigenset is to, as well, to alter in more derivatives of motion than the number of spatial dimensions that it is to be traveling through -- then, it will also here, to be working to form a set of one or more Lagrangian-based Chern-Simons singularities.  The functioning of three of the six said ulterior directorals, eludes to the presence of more spatial dimensions than we generally tend to perceive of (a tense of a Calabi-Yau space).  This will then tend to work to allow for the presence of complex-roots in the said ulterior directorals, that are here to be involved with the flow of the said potential set of Lagrangian-based Chern-Simons singularities, that are here to potentially be of this given arbitrary case scenario.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little Bit Of A Reminder From A While Ago

As a little bit of a reminder from a while ago -- every universe from each set of parallel universes, is inter-twined (intermingled) with every other universe of such a said set of parallel universes.  There are three sets of parallel universes.  These three sets of parallel universes, work to comprise what I term of as the Ultimon.  Each set of such universes, exists in two virtual hoops -- the outer external of such virtual hoops exists for forward-time-bearing momentum, and the inner-internal of such virtual hoops exists for backward-time-bearing momentum.  These said virtual hoops are virtual, because these work to bear a relatively wide annulus (to where each of such "virtual hoops," is here to exist as two interconnected tubes) -- at the center of their Nijenhuis cross-sectional region.  These three set of virtual hoops, exist adjacent and interconnected to one another -- with a relatively small annulus at the center of their Nijenhuis cross-sectional region.  There are also spots along the internalized contour of these virtual hoops, where phenomenology may be brought out of these hoops, in less than 1 Nijenhuis Planck Instant -- to help to allow for Ultimon Flow to happen (including in so as to work to allow for an inter-relationship between forward-time-bearing momentum and backward-time-bearing momentum.)  This should work to help at explaining what I meant a little earlier.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Immediately Adjacent Discrete Quanta Of Energy

Immediately adjacent discrete quanta of energy that are of the same universe, work to bear a covariant wobble relative to one another -- that is to bear both an orthogonal tense of wave-tug, as well as being directed at a relative Poincare-related angle of ~1.104735878*10^(-81)I degrees (~1.104735878*10^(-81) degrees back-and-forth.)
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Brief Interlude About Math

Math is measurement.  Measurement is the result of comparing changes and differences.  The consequence of the Overall disturbance of space, is covariant change.  Relationships of comparative covariant change, work to form relative differences.  Such relative differences that are consequently compared, work to form interdependent inter-relationships -- the extrapolation of such interdependent inter-relationships, of which is measurement.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The General Tendency -- Majorana-Weyl-Invariant-Mode

The general tendency with mass-bearing superstrings of discrete energy permittivity -- is to bear a superconformal tense of a Noether-based flow, at a level that is Poincare to its internal reference-frame, -- in so as to bear a gauged-action, that is to act in such a manner, in so as to work to display one tense or another of a Majorana-Weyl-Invariant-Mode.  Sorry for over thinking the issue, during the earlier post.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Balance Of Cohomological Generation

A Majorana-Weyl-Invariant-Mode is here to tend to be formed, for any one given arbitrary orbifold eigenset -- when a balance is to be struck, between the respective cohomological generation that is of the said orbifold eigenset, and its respective covariant, codeterminable, and codifferentiable tense of cohomological degeneration, that the said orbifold eigenset is here to display over time.  Such a balance is here to tend to be struck, when there is a tense of superconformal invariance -- in the group-related action, that is here to be displayed at the internal reference-frame, that is of the directly corresponding eigenstates -- that are of the here directly pertinent centralized knotting of the Rarita Structure-related stratum.  So, when the strong force is to be superconformally invariant -- at an internal reference-frame -- this will tend to work to form a tense of a Majorana-Weyl-Invariant-Mode.  In a way, basically whenever you are dealing with the strong force, as it is applied to form any viable tense of physical stability -- you are dealing with some sort of a tense of a Majorana-Weyl-Invariant-Mode.  The question is, is whether or not one is here to consider a plasma (such as here to have a reverse-fractal, as is with fire and with the stars), to be considered to be as either of a case of superconformal invariance, or of just conformal invariance.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Majorana-Weyl-Invariant-Mode And Mass

The Majorana-Weyl-Invariant-Mode, is a general Ward-Cauchy-related condition, that is here to tend to be directly appertaining to only both mass-bearing superstrings and mass-bearing orbifold eigensets as well. The higher that the tense is, of the directly corresponding Majorana-Weyl-Invariant-Mode -- that is here to be correlative to any one given arbitrary orbifold eigenset -- the lower that the frequency will tend to be, of the vibrational oscillations of those individually taken superstrings, that are to work to here to comprise such a said orbifold eigenset, over the course of each individually taken successive iteration of group-related instanton.  The lower that such a frequency will tend to be, of the vibrational oscillations of those individually taken superstrings, that work to comprise such a said orbifold eigenset, over the course of each individually taken successive iteration of group-related instanton, -- both the higher that the time will tend to be of such vibrational oscillations, as well as the deeper that such vibrational oscillations will tend to be.  At a reverse-fractal tense -- as taken from the said orbifold eigenset out to the molecular level -- as both the time and the depth of the vibrational oscillations, of those superstrings that are here to most directly appertain to the mass-bearing condition of orbifold eigensets, that are to here to bear an increase in the scalar amplitude of their directly appertaining Majorana-Weyl-Invariant-Mode, is to be occurring per each successive iteration of group-related instanton, -- this will then tend to work to cause a display of an increase in the resonant vibration of such so-eluded-to molecules, -- that are here to be of a reverse-fractal tense from the substringular level.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Compleltion Of The Rarita Structure -- Forces

Do you remember me mentioning to you on this blog, something to the effect of (but not specifically this exactly, though) -- that the multiplicit light-cone-gauge eigenstate acts as the 'opening phenomenology' of the Rarita Structure, and that the multiplicit gauge-bosons act as the 'closing phenomenology' of the Rarita Structure?  Furthermore, it is those vibrational oscillations that are formed, by the plucking action of the multiplicit gauge-bosons upon the correlative multiplicit second-order light-cone-gauge eigenstates (which is here to form the here correlative Schwinger-Indices) -- that work to behave, in so as to work to form the exhibition of the four general forces of nature (these of which are -- the strong force, the electromotive force, the gravitational force, and the weak force).  This said plucking activity by the so-eluded-to E(6)XE(6) strings (these just mentioned strings of which act as the said gauge-bosons), works, as well, to help at making what would otherwise be a maxed-out Minkowski or holographic space (flat space), to instead, be a Hilbert or volume-based space.  (This would then work to help at making a 26 spatial dimensional world, instead, be a 32 spatial dimensional world -- for each of the three individually taken sets of parallel universes, that are here to exist in time and space.)  So -- it is the very nature, as to what helps to work to make a maxed-out flat-based space behave, instead, as a maxed-out volumed space, -- that works to form those vibrational oscillations, that are here to ripple along the Rarita Structure -- in so as to work to influence, as to what the correlative exhibitions are to be, as to the corresponding display of the four physical forces of space and time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Gauge-Bosons As Messenger Particles

Gauge-Bosons work to act as messenger particles.  These said gauge-bosons act, in so as to work to pluck their correlative second-order light-cone-gauge eigenstates like a harp -- in so as to work to form a certain general genus of Schwinger-Indices, -- that are kinematic along the Rarita Structure, in so as to work to form the four general classifications of the physical forces.  Gauge-Bosons thus work to form certain given arbitrary vibrational oscillations -- that act upon their Ward-Cauchy-related substringular environment, -- in so as to help at forming these so-stated four basic physical forces of nature.  Consequently:  Where the multiplicit centralized knotting of the Rarita Structure is at, in a covariant kinematic-related manner -- due in part to the various kinematic activity of those wave-based vibrational oscillations, that are here to physically be those Schwinger-Indices that are formed by the said plucking activity of gauge-bosons -- is the multiplicit region, at which the strong force is to tend to be localized at.  Where such a said general genus of Schwinger-Indices, are to be directly associated in part with the activity of both spontaneous cohomology-based generation and/or spontaneous cohomology-based degeneration -- is where there are the multi-various eigenstates of the electromotive force to tend to be localized at.  Where such a said general genus of Schwinger-Indices are to come together, in a relatively quantized manner over time -- is where the gravitational force is here to tend to be localized at.  And, where such a said general genus of Schwinger-Indices, are to bear a general multiplicit perturbation in their covariant kinematic-based proximal locus, that is affiliated the directly correlative centralized knotting of the Rarita Structure, -- is where the weak force is to tend to be localized at.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Majorana-Weyl-Invariance And Magnetic Tendency

When one is to have one or more cohesive sets of orbifold eigensets, that are here to work to bear a relatively high tense of a Majorana-Weyl-Invariant-Mode -- to where this so-eluded-to overall set of cohesive orbifolds, are here to be kinetically transferred at a relatively high degree of a scalar amplitude over time, -- this will then tend to work to form a relatively higher tense of a magnetic delineation than this would otherwise tend to display, -- if such a cohesive set of orbifolds were to, in this ulterior case, either to work to bear both a lower tense of a Majorana-Weyl-Invariant-Mode, and/or if the said cohesive set of orbifolds were to be kinetically transferred at a relatively lower degree of a scalar amplitude -- over the same so-eluded-to proscribed duration of time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Frequency Of Gravitational Waves

The slower that the vibrational oscillation of a gravitational wave is to be transferred as such, over time, is to be -- the lower that its relative frequency will tend to be translated as, over that self-same duration of time.  This will often work to mean, that there will here be a decrease in the amount of energy -- that is here to be exerted upon the said gravitational wave, over a set evenly-gauged Hamiltonian eigenmetric -- that works to encompass this said time.  Now remember, -- gravitational waves are propagated both transversally and in a perpendicular manner -- at the same time, as Schwinger-Indices.  As thus eluded-to by my last post, the lower that the frequency is to be -- of any one given arbitrary gravitational wave, over any one set Fourier Transformation -- the less of a degree of helicity that it will tend to express, when this is as taken over an extrapolated trajectory.  This means, that if a gravitational wave is to spontaneously decrease in its given respective frequency -- that it will tend to work to display less of a spiral-like torsioning -- when this is as taken as an extrapolated trajectory, over a set Fourier Transform.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Relative Frequency Of Gravitational Waves

As an initial aside, gravity waves tend to bear a wavelength of anywhere between 5*10^(-22) meters to 4*10^(-18) meters. The higher that the relative frequency is to be, as to the holonomic translation -- of what are to here be the presence of two given arbitrary sets of respective comparitive gravitational waves, to where each individually taken set is here to bear its component waves as to be working together here in unison -- the higher that the scalar amplitude will tend to be, as to the directly corresponding helicity of the directly corresponding phenomenology of the said set of gravitational waves, that are here to bear the so-stated higher frequency.  When in terms of a comparison between two different distinct gravitational waves, as is here to be a given example for reference, for instance, say if one given arbitrary gravitational wave were to here to have a higher frequency than another given arbitrary gravitational wave that is to as well to be considered here, -- then, the gravitational wave that is of a higher frequency, will tend to have a higher number of Fourier-related spiral-shaped formations over an extrapolated trajectory, than the other gravitational wave will tend to have, due to that Schwinger-related torsioning, that is here on account of an increased energy that is to applied to the said wave, in so as to work to cause the so-stated increase in frequency that is then to tend to create a higher degree of helicity -- when this respective situation is to be taken along the topological stratum of the actual physical entities, that are of the two said comparative gravitational waves.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

What Energy Is

Energy is formed by that general genus of a disturbance in space, that has a discrete interdependent relationship between its permittivity and its impedance.  A discrete quantum of energy is a node of such energy. The discrete quanta of energy permittivity are the correlative superstrings (and counterstrings) that work to help in comprising the energy of the multiverse, whereas the discrete quanta of energy impedance are the Fadeev-Popov-Trace eigenstates (and their correlative light-cone-gauge eigenstates) that work to help in comprising the energy of the multiverse.  Such superstrings basically appertain to the particle-related nature of discrete energy permittivity, whereas, such counterstrings basically appertain to the wave-related nature of discrete energy permittivity.  Such Fadeev-Popov-Trace eigenstates basically appertain to the particle-related nature of discrete energy impedance, whereas, such light-cone-gauge eigenstates basically appertain to the wave-related nature of discrete energy impedance.  When going in a Laplacian-related nature Into the multiplicit relative forward-holomorphic direction, discrete quanta of energy are connected in the following general manner: -- there is the Fadeev-Popov-Trace eigenstate as connected to the first-order light-cone-gauge eigenstate as connected to the superstring of discrete energy permittivity as connected to the counterstring of discrete energy permittivity.  The actual motion of such discrete quanta of energy, is the general idea as to what a Lagrangian is.The integrated duration of their delineations is time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

What I Mean By Centralized Knotting Of The Rarita Structure

What I mean by the centralized knotting of the Rarita Structure eigenstates -- is the presence of kinematic varying nodes of knot-related substringular phenomenology, that are here to exist in the flow of the general gravitational field of space-time-fabric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Motion Of Mass

Isotropically stable Legendre homology works at making a Yukawa Coupling upon Calabi-Yau spaces, in so as to tug these so-eluded-to mass-bearing spaces along the multi-various mappable-tracing of space and time -- over a sequential series of group-related instantons, -- in so as to work at helping to allow for the kinematic motion of matter over the course of time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Increasing Relative Velocity And Rarita Structure Eigenstates

Let us initially consider an orbifold eigenset, that is here in this case to consist of at least in part -- the presence of mass-bearing superstrings of discrete energy permittivity.  Let us next say -- that the said orbifold eigenset, is to be accelerating up to nearly the rate of light speed.  As the said orbifold eigenset is to be increasing in its relative velocity, over an evenly-gauged Hamiltonian eigenmetric -- it is then to bear increasingly more mass, -- even though the overall specific Ward-Neumman constraints of the said eigenset's physical bounds are to if anything decrease.  This then works to indicate, that, as the so-eluded-to set of superstrings that are here to operate to perform a specific function, is to move at a relatively increasing rate, when this is in comparison to light that is here to go even faster -- that the density of the mass of the said orbifold eigenset is then to increase as well.  This will then work to indicate the physical conditions of an increased density, as to what are here to be the correlative centralized knotting of the proximal local Rarita Structure eigenstates.  It is the Rarita Structure, that works to convey both the vibrations of gravity, as well as the multivarious inflections in the conveyance of the ever changing forms of the four main physical forces of nature.
I will continue with the suspense later!  To Be Continued!  Sincerely Samuel David Roach.

Mass-Bearing Strings In Motion And Kinetic Energy

Whenever a set of mass-bearing superstrings of discrete energy permittivity, are to bear a tense of kinetic energy -- then, these are to bear an external reference-frame--  that is to be moving through a Lagrangian-based path over time.  This is to be the case, even though the motion of the said respective set of mass-bearing superstrings of discrete energy permittivity in and of itself, is here to be moving under a given arbitrary tense of a Majorana-Weyl-Invariant-Mode -- at a relatively internal reference-frame -- in the meanwhile.  Mass-Bearing superstrings of discrete energy permittivity work to bear a symplectic-related homology, whereas, superstrings of discrete kinetic energy work to bear a Legendre-related homology.  So, any set of mass-bearing superstrings, that are here to bear an external motion-related translation of their internally functioning Majorana-Weyl-Invariant-related field, when this is taken as a kinetic sequential series of delineation-related distributions, that are here to be directly appertaining to the resultant kinetic motion of the respective integrative composite set of superstrings, that are to work here to form the so-eluded-to mass-bearing orbifold eigenset over time -- as taken At An External reference-frame that is covariant From its directly corresponding internal reference-frame, that is of the mentioned respective Majorana-Weyl-Invariant-Mode -- will bear a set of superstrings that each work to bear a relatively isotropically stable tense of Legendre homology over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Depth Of Vibration And Majorana-Weyl-Invariant-Mode

The higher that the tense is, that the correlative Majorana-Weyl-Invariant-Mode is to be of -- for any one given arbitrary orbifold eigenset -- the Deeper that the vibrational mode will tend to be (although slower), for those individually taken superstrings of discrete energy permittivity, that work to comprise the said respective orbifold eigenset.  Consequently -- the lower that the tense is, that the correlative Majorana-Weyl-Invariant-Mode is to be of -- for any one given arbitrary orbifold eigenset -- the Less Deep that the vibrational mode will tend to be (although faster),  of those individually taken superstrings of discrete energy permittivity, that work to comprise the said respective orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Substringular Vibration And Majorana-Weyl-Invariant-Mode

The higher that the tense of the Majorana-Weyl-Invariant-Mode is, for one given arbitrary orbifold eigenset -- over an evenly-gauged Hamiltonian eigenmetric -- the lower that the rate of the vibrational mode will tend to be, per each successive iteration of group-related instanton, for those individually taken superstrings that work to comprise the said respective orbifold eigenset.  Consequently -- the lower that the tense of the Majorana-Weyl-Invariant-Mode is, for one given arbitrary orbifold eigenset -- over an evenly-gauged Hamiltonian  eigenmetric -- the higher that the rate of the vibrational mode will tend to be, per each successive iteration of group-related instanton, for those individually taken superstrings that work to comprise the said respective orbifold eigenset.
This helps to influence the basic general condition, that the faster that an orbifold eigenset is to approach the behavior of light speed -- the more that such an orbifold eigenset will then tend to effect what it is to strike in a Gliosis-related manner.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Fujikawa Coupling And Abelian Nature

Any given arbitrary superstring of discrete energy permittivity, that is to be in the process of undergoing the Fujikawa Coupling via the Green Function -- to where one given arbitrary open string is here to bend in a hermitian nature, in so as to convert into a closed string -- will, over the course of such a so-eluded-to process, go from having non abelian geometrical groupings interacting  alongside the region that is adjacent to the topological surface of the said string, -- to then going into having abelian geometrical groupings interacting alongside the region that is adjacent to the topological surface of the said string.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homologies And Norm-State-Projection Strike

 A superstring that works to bear a symplectic homology -- tends to form a Yukawa Coupling upon those norm-state-projections that these are to strike in a Gliosis-related manner, that is of more of an orthogonal manner, than the general tense of a Yukawa-based Coupling that a superstring that works to bear a Legendre homology is to bear upon those norm-state-projections that these are to strike in a Gliosis-related manner, -- because superstrings that work to bear a symplectic homology, tend to interact with less topological slippage upon the stratum that these are to work to bear a Yukawa-related coupling upon,  than superstrings that are to instead to work to bear a Legendre homology are to tug upon the correlative topological stratum that these are to come into a direct contact with.  This is, in part, because, superstrings that are of a symplectic homology, are of a closed-looped nature, that thereby work to interact with the norm-state-projections that these are to interact with, in a manner that is to tend to bear a stronger direct wave-tug-related angular drive in their directly corresponding holomorphic direction, whereas, superstrings that are of a Legendre homology, are of an open-looped nature, that thereby work to bear a stronger indirect wave-tug-related angular drive in their directly corresponding holomorphic direction.  This helps at working to describe as to why phenomenologies that are of abelian geometries, tend to form cohomology entities around the topological region of closed-looped superstrings of discrete energy permittivity -- whereas, phenomenologies that are of non abelian geometries, tend to form around the topological stratum of superstrings of discrete energy permittivity, -- that are of either of an open-looped or of an open-stand-related nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Maximum Rates Of Both Homology-Based Degeneration And Homology-Based Generation

When the Ward-Cauchy-related angle --  by which a superstring that is here to work to exhibit a Legendre homology, by consistently being in the process of working to strike those physical norm-state-projections that it is to come into contact with, in a Gliosis-based manner -- is to be subtended at just over 0 degrees, then, the rate of homology-based degeneration will be maxed-out as the correlative homology-based generation will be minimized.  Furthermore, -- when the Ward-Cauchy-related angle -- by which a superstring that is here to work to exhibit a Legendre homology, by consistently being in the process of working to strike those physical norm-state-projections that it is to come into contact with, in a Gliosis-based manner -- is to be subtended at just under 90 degrees, then, the rate of homology-based generation will be maxed-out as the correlative homology-based degeneration will be minimized.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some More As To Isotropically Stable Homology

When one is here to be dealing with a an isotropically stable Legendre homology, then -- if a directly corresponding superstring of discrete energy permittivity, is to consistently to be striking the norm-state-projections that it is to be coming into a Gliosis-related contact with, at a Ward-Cauchy-related  acute angle that is here to be under 30 degrees of subtention, it will tend to be in the process of degenerating more homology-related eigenindices than it is here to be generating.  Yet, if one is here to be dealing with an isotropically stable Legendre homology, in which the directly corresponding superstring of discrete energy permittivity is to consistently to be striking the norm-state-projections that it is to be coming into a Gliosis-related contact with, at a Ward-Cauchy-related acute angle that is here to be exactly 30 degrees of subtention, it will tend to be in the process of generating the same scalar magnitude of homology-related eigenindices as it is here to be degenerating.  Furthermore -- when one is here to be dealing with an isotropically stable Legendre homology, that is here to be directly corresponding to a superstring of discrete energy permittivity, that is here to consistently to be striking the norm-state-projections that it is to be coming into a Gliosis-related contact with, at a Ward-Cauchy-related acute angle of subtention that is to be from between 30 degrees and 90 degrees, it will then tend to be generating more homology-related eigenindices than it is here to be degenerating.  This is, in part, because -- since the Lagrangian as to the motion of discrete energy, through the path of the point commutator-related field in which the so-eluded-to physical norm-state-projections are to exist, is to be kinematically moving as a cross-product-related Hamiltonian operator, the sine of the angle by which such a so-eluded-to superstring is to strike those norm-state-projections in which it is to come into contact with, works, in part, to help in determining the generative conditions of its consequent correlative homology.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Isotropically Stable Versus Isotropically Unstable Homology

Over an evenly-gauged Hamiltonian eigenmetric -- an isotropically stable open-looped superstring of discrete energy permittivity, may either: generate more homology-related eigenindices than it is to degenerate, or it may generate less homology-related eigenindices than it is to degenerate, or, it may sometimes generate as much homology-related eigenindices than it is to  degenerate.  Yet, -- over the same general genus of an evenly-gauged Hamiltonian eigenmetric -- an isotropically unstable open-looped superstring of discrete energy permittivity may only be able to either generate more homology-related eigenindices than it is to degenerate, or it may, instead, generate less homology-related eigenindices than it is to degenerate, -- to where an isotropically unstable superstring of discrete energy permittivity will never generate the same scalar magnitude of homology-related eigenindices as it is here to degenerate, over a definitive amount of viable time, -- otherwise, one would here to be dealing with an isotropically stable Legendre homology instead.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.