Torsioning Of Second-Ordered Light-Cone-Gauge Eigenstates

Any discrete quantum of energy, will either have an abelian light-cone-gauge topology, or, it will have a non-abelian light-cone-gauge topology -- over the course of any one respective given arbitrary iteration of BRST, during the course of any one given arbitrary respective iteration of instanton.  Any discrete quantum of energy that has an abelian light-cone-gauge topology, will tend to have more of a Laplacian lay-out -- of working to bear supplemental second-ordered light-cone-gauge eigenstates.  The lay-out of these just inferred eigenstates, will basically be of a linear eigenbase -- that is being fed-in mini-stringular segmentation, over the course of that Clifford Expansion that is to here be directly involved with the Fourier-based translation of that Polyakov Action eigenstate,  that is to happen to any respective superstring that is of a Kaluza-Klein light-cone-gauge topology.  In contrast -- the lay-out of those second-ordered light-cone-gauge eigenstates that are of a non-abelian light-cone-gauge topology, -- that work to comprise the wave-based format of any given arbitrary discrete quantum of energy impedance, is placed in a Laplacian-based sinusoidal manner -- during the directly associated iteration of BRST, which is of the correlative respective iteration of instanton.  This so-stated genus of light-cone-gauge topology, is also being fed-in mini-stringular segmentation, during the course of that Clifford Expansion that is correlative to the Polyakov Action eigenstate -- that is to here be directly appertaining to any respective given arbitrary iteration of instanton.  Since any so-eluded-to Yang-Mills light-cone-gauge topology (non-abelian), works to involve a distinctly sinusoidal tense of core-field-density, that is Gliosis at the Poincare level to the topological stratum of the directly corresponding second-ordered light-cone-gauge eigenstates -- this will then work to cause the condition, that such wave-based eigenstates, that are correlative to discrete quanta of energy impedance, will likewise tend to cause the condition, that, superstrings that are of a Yang-Mills nature, will tend to bear light-cone-gauge eigenstates that are more prone to being torqued -- than superstrings that are of a Kaluza-Klein light-cone-gauge topology.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Domino Effect Of Light Scattering

Let us say that an initial beam electromagnetic energy, this is to where, let's just say that this electromagnetic energy it here to be light, has just struck upon a given arbitrary set of orbifold eigensets.  As the said light is to here be absorbed to an extent, into the holonomic substrate of the said set of orbifold eigensets -- a certain amount of electromagnetic energy is to then be released by the so-eluded-to atoms, that will have here needed to release their excessive energy that these said atoms have had here, just taken into their Ward-Caucy-based bounds.  This will then work to help in causing the so-eluded-to Calabi-Yau manifold -- the so-eluded-to atoms of such a case, -- to both absorb and radiate a certain scalar magnitude of electromagnetic energy, over time.  As the so-eluded-to group of atoms are to here be both absorbing and releasing a certain amount of electromagnetic energy, much of the electromagnetic energy that has scattered here, is to keep scattering among some of the other groupings of atoms -- that are proximal localized to the general field at which the source of the so-stated electromagnetic energy is being propagated into.  (This general proximal localized field, is the overall set of orbifold eigensets of this given arbitrary case, that are being at least partially bombarded with light.) To an extent, much of the resultant electromagnetic residue -- that is here to be scattered from within the Ward-Caucy bounds of those mass-related superstrings, that work to comprise the Calabi-Yau manifold of such a case -- is in the form of infrared energy, or, in other word, in the form of heat-based photons.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Electromagnetic Energy Striking Upon Phenomenology

Often, when light strikes a Calabi-Yau manifold (a manifold that is based upon the proximal localized tense of mass-bearing superstrings) -- the shining of electromagnetic energy upon the so-eluded-to respective given arbitrary mass-bearing orbifold eigenset, will then tend to absorb a certain quantum of energy, that may here be derived from the Gliosis-based impact of the initially stated electromagnetic energy upon the holonomic substrate of the electrostatic field -- that is directly associated with the electrical-based field of those electrons that are here to be orbiting around the nuclei of those atoms that have here just been struck by the inferred  electromagnetic beam.  Ensuing the said potential absorption of energy by the said Calabi-Yau field, certain of those electrons that work here to comprise the relative external-based electrostatic field, that work to form those atoms that work here to form the said Calabi-Yau field -- will tend to then need to release the excess energy that these so-stated electrons have just imbued.  This may then work to help at causing these over- energized electrons to then drop back-and-forth, in so as to then work to form photons -- that are then to be propagated away from the cite of the stated Calabi-Yau field in question.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Introductory Stuff About The Scattering Of Light

Whenever a beam of electromagnetic energy is to strike a phenomenology of mass, in a Gliosis-based manner, over time -- there will tend to be a certain amount of entropy that will here be formed by that general Fourier-based differentiation, that is of the activity of the so-eluded-to collision of the set of one or more photons, that are to here make a direct impact upon mass-bearing superstrings of discrete energy quanta, that will here work to help to form a tense of a Gaussian Transformation -- that may here be called a gauge-transformation.  A gauge-transformation is that general tense or genus of a Gaussian Transformation, that is formed as a gauge-metrical-based Hamiltonian operation, by which those so-eluded-to entropic-based eigenindices, that  are thence to here be formed by the so-eluded-to general activity of electromagnetic energy, are to have here just been struck by another physical phenomenology, to where this may bear an added tense of activity, over the course of the  needed replenishment of discrete quanta of energy -- that is to here be in the process of regenerating back their fractals of discrete energy -- so that discrete energy may be able to both persist and exist, over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Calabi-Yau Spaces And Light Scattering

What we normally come into contact with -- when we perceive of material phenomenology -- is the electrical field, that is directly associated with those atoms that work to comprise the molecules and the compounds of material stratum.  Whenever electromagnetic phenomenology strikes an electrostatic field, it will tend to always scatter to some degree or another.  When this general said genus of the scattering of electromagnetic energy is to happen, it often works to cause one or more electrons to drop back-and-forth an energy level -- in so as to work to form one or more respective photons.  Phenomenology of mass, exists in manifolds that may be described of as Calabi-Yau manifolds.  The activity of electromagnetic energy, acting to strike superstringular phenomenology of mass -- in so as to work to create this general genus of the scattering of the so-stated electromagnetic energy -- may be described of as the tense of a Calabi-Yau interaction.  Even if electromagnetic energy is not constantly bombarding the electrostatic field of a set of one or more atoms -- molecular structures tend to act in groups in such a manner, over time, in so as to at least release photons that are of an infrared nature, or, in other words, the activity of molecules over time -- will always tend to either absorb and/or radiate the holonomic substrate of heat, in the form of infrared photons.  An infrared photon is a discrete quantum of heat energy.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Chan-Patton Rules And Parity

The Chan-Patton conditions, that are appertaining to the Ward-Caucy relationships of the electrostatics of any respective given arbitrary atom -- that are to here appertain to the parity of an electron, will tend to work to force the correlative one-dimensional superstring and its directly corresponding counterstring -- to bend into a resultant two-dimensional superstring and its correlative two-dimensional counterstring, in a hermitian manner.  This will then work to tend to cause the said string and its counterstring, to thereby bend via the Fujikawa Coupling -- as is to here be in accordance with the Green Function.  The Chan-Patton conditions of parity, are here to be the case for the smooth energy relationships -- that exist for any discrete quanta of kinetic energy permittivity, that is to ensue as being released by an electron, when it works to drop back-and-forth an energy level.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Next Part As To Session 3 Of Course 20

The condition that an electron will bear a tendency, of not only moving in as many spatial dimensions as the number of derivatives that it is changing in, yet, it will as well tend to work to bear holomorphic-based torsional eigenindices -- that will bend in as many spatial dimensions as the number of derivatives that it is changing in -- is a condition, that is akin to some of what may here be called of as Chan-Patton rules.  An electron exists as an orbifold eigenstate, of what may here be called of as an example of a Calabi-Yau space.  A Calabi-Yau space, tends to bear eigenstates -- that are Yau-Exact.  Consequently, an electron is one general classification of a Fourier-based spatial Hamiltonian operator, that tends to bend in a hermitian manner, in so long as it is moving in a Noether-based manner -- via its translation through what may here be the traversal of a Lagrangian that may exist from anywhere between six and ten spatial dimensions plus time.  Therefore, an electron, when moving in a Noether-based manner over time, will tend to bend in a hermitian manner -- by both moving in as many spatial dimensions as the number of derivatives that it is changing in, as well as such an orbifold eigenset (an electron) -- to here be working to bear holomorphic-based torsional eigenindices, that will as well tend to bend in as many spatial dimensions as the number of derivatives that it is changing in.  This tendency is in so long as the said electron, is to here be moving as a metrical-gauge-based Hamiltonian operator -- that tends to work to form a Rham-based cohomology.   I will continue with the suspense later! To Be Continued!  Sincerely, Sam Roach.

A Little Reminder -- The Fujikawa Coupling

Electrons may be viewed of as mass that is energy that is wave that is particle, at the same time.  When an electron drops an energy level, while then returning to its immediately prior energy level -- a discrete amount of energy is then to be released from the said electron, in the form of a photon.  A photon is a discrete quantum of electromagnetic energy.  This happens, by the process of the directly corresponding one-dimensional superstring and its counterstring, that is released by the electron of such a case -- when it is tugged into bending in a hermitian manner -- to then be formed into a respective bosonic superstring and its correlative counterstring of discrete energy permittivity, -- via the Fujikawa Coupling, over a successive series of instantons.  The so-stated bosonic superstring of such a respective given arbitrary case, is more associated with the particle nature of a discrete quantum of electromagnetic energy permittivity -- while the so-stated correlative bosonic counterstring of such a case, is more associated with the wave nature of a discrete quantum of electromagnetic energy permittvity.  In the meanwhile, the respective light-cone-gauge eigenstate -- that is correlative to this given case, is altered from working to bear ten second-ordered light-cone-gauge eigenstates, to then working to bear only five second-ordered light-cone-gauge eigenstates ( as such said eigenstates are to then double-up in the Hodge-Index of the mini-stringular segmentation of their holonomic substrate, as to the cross-sectional thickness of the correlative chord-based topology of the so-eluded-to substrate, that is of the pheonomenology of such second-ordered eigenstates).  The correlative Fadeev-Popov-Trace eigenstate, is to here be torqued by this overall process -- yet, it will tend to still bear basically the same general genus of its morphological topological substrate, over the course of the process of the so-eluded-to group-metric of the Fujikawa Coupling.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

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

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

Energy Density And Cohomologies, Part Two

Let us here consider two different covariant given arbitrary orbifold eigensets, that are of the same Ward-Caucy mass-based density, over the course of one respective given arbitrary group-metric.  Let us next say, that one of such orbifold eigensets is moving at a faster relative velocity -- in a terrestrial-based manner -- than the other said orbifold eigenset, over the self-same said group-metric.  The faster of the two said orbifold eigensets, will tend to eliminate its cohomologies at a faster rate than the slower of the two said orbifold eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Energy Density And Cohomologies, Part One

Let us take into consideration two different covariant given arbitrary orbifold eigensets.  Both of such orbifold eigensets are moving at the same velocity, relative to one another -- over the group-metric that is to be considered here.  Both of such orbifold eigensets are, as well, of the same relative Ward-Caucy-based "volume," in this respective given arbitrary case scenario.  One of these so-stated orbifold eigensets has a greater mass than the other of such orbifold eigensets, over the course of the said group-metric.  The orbifold eigenset that is to here have a greater mass-based density (more mass per relative Ward-Caucy-based "volume"), will tend to work to bear a Rayleigh scattering of its ghosts -- that will tend to eliminate its directly corresponding cohomologies, in a quicker manner -- than the orbifold eigenset that is of a lower mass-based density.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Relative Yukawa Leverage Of Group Attractors

Let us say that there is to here be an initial tense of order with a covariant set of orbifold eigensets, that is to then be brought into a relative tense of disorder among the said set of covariant orbifold eigensets.  Let us next say that there is to soon be an ensuing set of group attractors, that act upon the initially so-stated set of disordered orbifold eigenset -- in so as to work to put the said eigensets, to go into a tense of relative order and interdependence.  The more Yukawa that the activity of the said group attractors is, at bearing upon the topological stratum of those so-stated orbifold eigensets that are to be brought into a tense of a Reimman scattering -- in so as to be brought back into a relative tense of order and interdependence, over time -- the quicker that the so-stated orbifold eigensets will tend to be brought together into a tense of relative order and interdependence.  Consequently, the less Yukawa that the activity of the said group attractors is, at bearing upon the topological stratum of those so-stated orbifold eigensets that are to be brought into a tense of a Reimman scattering -- in so as to be brought back into a relative tense of order and interdependence over time -- the slower that the so-stated orbifold eigensets will tend to be brought together into a tense of relative order and interdependence.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Whether Or Not A Specific Delineation Could Be Real

If an equation that treats a time-oriented cartesian-based quotient of mathematical expression to be equal to a time-oriented polar-based quotient of mathematical expression, to where this is solvable as an even function, -- that works to bear an eigenbase that is Gaussian for either a Real Reimmanian space or for a Njenhuis space -- in so as to initially bear a general value of setting "gnu" (pronounced as "nu") to a scalar magnitude of 1/((2)^.5)(of whatever the specific units are of the respective given arbitrary case), so that between four and ten spatial dimensions may then be solved for as being directoral-based space-time coordinates, that will thus, in such a general genus of a case, work to plot the net Lagrangian that is to be solve for, once one has the so-eluded-to tense of the so-eluded-to four to ten Noether-based space-time-coordinates to be plotted towards one general net locus, to where this will form a space-time translation that is to happen over the course of a here proscribed set of a certain integer-based iterations of group-related instantons.  (Let us say 3*10^8 consecutive of such instantons.)  If the so-eluded-to space is Gaussian in either a Real Reimmanian or in a Njenhuis manner, then, it may be properly solved for as a Calabi-related space.  Yet, if the so-eluded-to space is not Gaussian in either a Real Reimmanian or in a Njenhuis manner, then, it is of no actual potential tense as a delineation of a superstring, via a Calabi-based translation of those core-field-based indices of the topological transfer, that are of those coniaxial-based eigenstates, that come together in so as to work to make-up the holonomic substrate of a propagated superstring over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To The Yukawa Tug Of Ghost Inhibitors

Let us initially consider an orbifold eigenset, that is in a state of relative conformal invariance.  It is here to be in a given arbitrary tense of a Majorana-Weyl-Invariant-Mode.  Let us next consider a situation in the substringular, to where there is to suddenly be a ghost-based inhibitor -- that is to act in a Yukawa manner, upon the holonomic substrate of the topological stratum of the initially so-stated orbifold eigenset.  The stronger that the said ghost-based inhibitor is to act in a Yukawa-based manner upon the said orbifold eigenset, the sooner is to then be the tendency of the cohomological mappable tracing that is to be formed by the said orbifold eigenset -- to be scattered anharmonically out of place by the presence of what will here be the proximal localized upcoming relatively reverse-holomorphic norm-state-projections, in so as to work to form a Rayleigh scattering that is to then happen to the ghost-based pattern, that is to have just been formed by the physical memory of the projection of the trajectory of those superstrings that had just worked to form the so-eluded-to cohomological mappable tracing of the said orbifold eigenset of this respective given arbitrary case.  Consequently -- the weaker that the said ghost-based inhibitor is to act in a Yukawa-based manner upon the said orbifold eigenset, the more prolonged is to then be the tendency of the cohomological mappable tracing -- that is to be formed by the said orbifold eigenset, to be scattered annharmonically out of place, by the presence of what will here be the proximal localized upcoming relatively reverse-holomorphic norm-state-projections, in so as to work to form a Rayleigh scattering that is to then happen to the ghost-based pattern that is to have just been formed by the physical memory of the projection of the trajectory of those superstrings that had just worked to form the so-eluded-to orbifold eigenset that had formed that cohomological mappable tracing of this respective given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Noether Versus Tachyonic Cohomology-Based Conditions

If an orbifold eigenset is operating as having a Noether-based flow -- the resultant cohomology that it will bear, will tend to be of a Real-Reimmanian-based nature.  Yet, if an orbifold eigenset is operating as having a tachyonic-based flow -- the resultant cohomology that it will bear, will tend to be of a Njenhuis-based nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Relative Velocity And Cohomologies

The slower that the relative velocity of a given arbitrary orbifold eigenset is -- the more of a tendency is of it to here be working to bear both a relatively loosely-knit resultant cohomological mappable tracing, along with the condition of the said orbifold eigenset to as well bear a relatively more prolonged resultant tense of such a cohomological mappable tracing.  Consequently, the faster that the relative velocity of a respective given arbitrary orbifold eigenset is -- the more of a tendency is of it to here be working to bear both a  relatively tightly-knit resultant cohomolgical mappable tracing, along with the condition of the said orbifold eigenset to as well bear a relatively more transient resultant tense of such a cohomological mappable tracing.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two Of Session 3 Of Course 20 -- Calabi Manifolds And Calabi Interactions

Due to the condition that mass-bearing superstrings that are of a Noether-based flow, are of a multiplicit Calabi-Yau manifold, leads to the condition that mass-bearing superstrings tend to bear a tighter-knit cohomological-based tracing -- than superstrings that are not Yau-Exact.  This is in part, because Yau-Exact superstrings tend to bear holomorphic-based torsional eigenindices, that work to bear spatial coniaxions that bend in as many dimensions as the number of derivatives that these change in. -- Mass-Bearing superstrings do not tend to change in any more derivatives than the number of spatial dimensions that these are moving through, over any set group-metric that is to involve a respective sequential series of group-related instantons.  Consequently, superstrings that are either partially Yau-Exact, or, especially, superstrings that are simply of a Lagrangian-based Chern-Simons nature -- tend to bear a less tightly-knit cohomological-based tracing than superstrings that are Yau-Exact.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The First Part Of Session 3 Of Course 20 -- Calabi Manifolds And Interactions

Any Noether-based superstring, that is of a mass-bearing nature -- will tend to exist in a Calabi-Yau manifold.  So, if the mass-bearing superstrings of an f-field, that move through anywhere between four and ten spatial dimensions plus time, or, if the mass-bearing superstrings of a d-field, that move through anywhere between six and ten spatial dimensions plus time -- is to be pushed through such a so-eluded-to Lagrangian-based Hamiltonian operand, over the directly corresponding Fourier Transformation, it will then tend to bear those spatial coniaxions of the correlative holomorphic-based torsional eigenindices, that will tend to bend in a hermitian manner, in as many spatial dimensions as the number of derivatives that it is changing through.  Yet, in so long as such  said mass-bearing superstrings are not being propagated in a tachyonic manner, this may only tend to happen in up to the range of ten spatial dimensions plus time.  If either an f-field or a d-field is to be pulled in a Noether-based manner, through a Lagrangian-based Hamiltonian operand that will here work to involve more than 10 spatial dimensions plus time -- then, those holomorphic-based torsional eigenindices that are to thence be formed is the process of forming singularities that are cohomological-based in nature, this will then tend to form at least some Lagrangian-based Chern-Simons singularities -- over that multiplicit Fourier Transformation, in which such mass-bearing superstrings, -- as to thence be propagated, over time.
 I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Last General Part As To Entropic Photons

Let us consider what happens to an entropic photon, both during and just after the sixth set of 64 consecutive iterations of instanton -- that start upon the impact of the said photon upon another orbifold eigenset, -- as such an impact has at this point in time, scattered upon another holonomic substrate in a Gliosis-based manner. During the said sixth set of 64 consecutive iterations of instanton that I have respectively mentioned, even though the photon is still to be moving in ten spatial dimensions plus time, as it is changing in ten spatial derivatives in the process -- only five of its holomorphic-based dimensional coniaxions of torsional eigenindex, are here to be bending in a hermitian-based manner during this relatively brief group-metric.  Over the course of this self-same group-metric, the so-stated entropic photon is here to work to bear an abelian or a Kaluza-Klein light-cone-gauge topology.  Immediately after the initial 384 group-related instantons, at which the said entropic photon has scattered upon another holonomic substrate of physical phenomenology, the said entropic photon will then tend to bear both a non-abelian or a Yang-Mills light-cone-gauge topology -- and the said discrete quantum of electromagnetic energy will then work to bear a Ward-Caucy-based condition as to then have six holomorphic-based spatial dimensional coniaxions of torsional-based eigenindex, of which will tend to bend in a hermitian manner.  At this point, what was just previously an entropic photon, will then become a "regular" photon -- as it is re-quantized into a beam of electromagnetic energy.  This is the tendency, in so long as the prior scattered photon does not re-scatter in the meanwhile.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Reimman Scattering And Invariant Modes

The tighter that the tense is, of a Majorana-Weyl-Invariant-Mode is to become -- the higher that the correlative genus will tend to be -- of the directly corresponding Reimman scattering, that is here to work to push those superstrings that are to be organized into the said tense of Majorana-Weyl-Invariance, is to be of.  Consequently, -- the looser that the tense is of a Majorana-Weyl-Invariant-Mode is to become -- the lower that the correlative genus will tend to be -- of the directly corresponding Reimman scattering, that is to here work to push those superstrings that are to be organized into the said tense of Majorana-Weyl-Invariance, is to be of.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Infinite And Semi-Infinite Wells

An "infinite well" may often be of a Rayleigh scattering, that is in static equilibrium -- that will not alter in such a tense of static equilibrium spontaneously (in and of its own self-accord).
A "semi-infinite well" may often be of a Rayleigh scattering, that is in static equilibrium -- that may alter in such a tense of static eqilibrium spontaneously (in and of its own self-accord), yet, it may only do as such with a certain tense of reluctance.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Invariant Modes And Transiency Of Ghosts

The tighter that the Majorana-Weyl-Invariant-Mode is of an orbifold eigenset -- the longer that those directly corresponding cohomological-based tracings, that are formed as the ghosts or the physical memories of the motion of the directly associated orbifold eigenset -- that is of the so-eluded-to given arbitrary respective Majorana-Weyl-Invariant-Mode, tends to be.  Likewise, the looser that the Majorana-Weyl-Invariant-Mode is of an orbifold eigenset -- the shorter that those directly corresponding cohomological-based tracings, that are formed as the ghosts or the physical memories of the directly associated orbifold eigenset -- that is of the so-eluded-to given arbitrary respective Majorana-Weyl-Invariant-Mode, tends to be.  So, the tighter the Majorana-Weyl-Invariant-Mode is -- the less transient that its correlative ghosts tend to be, and, the looser the Majorana-Weyl-Invariant-Mode is -- the more transient that its correlative ghosts tend to be.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Here Is The Next Part As To Entropic Photons

Furthermore, in so long as an "entropic photon" does not directly strike another orbifold eigenset in the meanwhile -- it will (the said photon that is entropic), during its fifth set of 64 consecutive iterations that are directly appertaining to those group-related instantons by which it is being scattered  -- bear four coniaxions that will here work to bear holomorphic-based torsional eigenindices, that will tend to bend in a hermitian-based manner, -- as the so-stated entropic photon is to here be tending to change in ten spatial derivatives as it is to here be moving through a p-field, of which works to involve a Fourier Transformation, that is to here be translated via ten spatial dimensions plus time.  Thus, although the so-eluded-to scattered photon is to here still be of a partially Yau-Exact Ward-Caucy-based condition, it will here be of less of a Lagrangian-based Chern-Simons nature.  This is because, instead of seven of the coniaxions of its ten holomorphic-based dimensional torsional eigenindices being here of a tendency of bending in a manner that is not hermitian, only six of the coniaxions of its ten-dimensional holomorphic-based torsional eigenindices are to here be of the tendency of bending in a manner that is not of a hermitian manner.  So, as the here scattered photon becomes of more of a partially Yau-Exact condition, it likewise works to become of less of a Chern-Simons condition.  Also, during this said fifth so-stated set of 64 consecutive iterations of group-related instantons, by which the said photon has been in the process of scattering -- from the point of the impact that had worked to form the so-eluded-to scattering of the directly corresponding entropic photon, the said scattered photon will still be of a Kaluza-Klein, or of an abelian light-cone-gauge topology, instead of being of a Yang-Mills or of a non-abelian light-cone-gauge topology. -- (Photons tend to usually work to bear a non-abelian, or, in other words, a Yang-Mills light-cone-gauge topology.)  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

The Nature Of Dimensionality And The Transiency Of Ghosts

Let us initially consider an orbifold eigenset, that moves in a p-field.  A p-field is a substringular field, that exists -- over any respective given arbitrary Fourier-based translation -- in a minimum of ten spatial dimensions, plus time.  Consider the physical memories that are to be formed as those cohomological-based tracings, that are formed by the projection of the trajectory of those superstrings that act in so as to behave as the orbifold eigenset-based Hamiltonian operator, that is of any of such a respective p-field.  These so-eluded-to ghost anomalies that are thence formed, will initially be formed in the organization of one Reimman-based scattering -- to where these so-eluded-to coholomogical-based tracings are to later be broken down by an ensuing Rayleigh-based scattering, that will eliminate the initially said formed ghost-based pattern.  Next, consider a d-field.  A d-field is a substringular field that exists -- over any respective given arbitrary Fourier-based translation -- in a minimum of six spatial dimensions, plus time.  Consider the physical memories that are to be formed as those cohomological-based tracings, that are formed by the projection of the trajectory of those superstrings that act in so as to behave as the orbifold eigenset-based Hamiltonian operator, of any of such a respective d-field. These so-eluded-to ghost anomalies that are thence formed, will initially be formed in the organization of one Reimman-based scattering -- to where these so-eluded-to cohomological-based tracings are to later be broken down by an ensuing Rayleigh-based scattering, that will eliminate the initially said formed ghost-based pattern.  The Fourier-based translation of a p-field, will tend to work to bear the elimination of its ghost-based pattern in a quicker manner -- than the Fourier-based translation of a d-field will tend to work to bear the elimination of its ghost-based pattern.  The tendency is -- that the higher the dimensionality is of any respective given arbitrary  Fourier-based translated field -- the quicker, timewise,  that their directly corresponding ghost anomalies or cohomological-based patterns will be annharmonically scattered out of existence.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Ensuing Part As To Entropic Photons

You can probably see the pattern of what happens to a photon, that has just become entropic -- for the immediately ensuing iterations of group-related instanton, if the said photon does not once again scatter upon another holonomic substrate of physical phenomenology in the meanwhile.  For the fourth set of 64 consecutive iterations of instanton that the said entropic photon is going through, starting upon its direct impact upon another phenomenology, it will work to bear what may be described of as having holomorphic torsional-based eigenindices that will bend in a hermitian-based manner, in up to three of the ten correlative coniaxions that are related to the spatial dimensionality that the said photon is moving through.  This is because the so-stated entropic photon will tend to bend here in ten spatial derivatives as it is moving in a minimum of ten spatial dimensions, plus time, over the course of the said entropic photon being in the process of being delineated through time and space.  This will then work to decrease the degree of the genus of the so-eluded-to Chern-Simons nature of the so-stated entropic photon -- seeing that it will, during the said fourth consecutive set of 64 said iterations of being "entropic," be Chern-Simons now, in a Lagrangian-based manner, in only seven of the ten spatial coniaxions that it is moving through, instead of being Chern-Simons in a Lagrangian-based manner in eight of such covariant and codifferentiable Fourier-translated coniaxions that are directly related to the ten spatial dimensions that such a given arbitrary photon is going through, as a metrical-gauge-based Hamiltonian operator, as it is tending to change in this Fourier-based process in up to ten spatial derivatives, over time.  This will work to cause such an entropic photon to still be partially Yau-Exact.  Such a photon will still work to bear here -- what may be deemed of as an abelian or as a Kaluza-Klein light-cone-gauge topology.  This will be the tendency of such, during the 193rd to the 256th of such consecutive iterations -- upon colliding with another physical phenomenology, in a Gliosis-based manner at the Poincare level -- if such a photon does not directly strike another orbifold eigenset in a direct manner in the meantime.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Next Part Of "Entropic Photons"

Let us consider what tends to happen, over the course of the third set of 64 consecutive iterations of group-related instanton, that start from the moment that the respective given arbitrary photon acted in so as to strike another holonomic substrate-based physical phenomenology, in a Gliosis-based manner, at the Poincare level -- up to the ensuing so-eluded-to iterations of group-related instanton, by which I am about to describe as happening.  In so long as the so-eluded-to "entropic photon" does not act in such a Fourier-based manner, in so as to strike another orbifold eigenset -- from the instant that the directly associated respective photon has worked in so as to make a direct and immediate contact with another orbifold eigenset-based phenomenology, up to the so-proscribed and the soon to be described set of what are to here be mentioned, as being of the successive series of iterations of group-related instanton, -- that go from the 129th consecutive iteration of such a successive series of instantons that start from the moment of impact, up to the 192nd consecutive iteration of the self-same successive series of instantons, that had started from the moment of impact -- the same "entropic photon" will be mildly partially Yau-Exact -- since only two of the holomorphic-based coniaxions of the torsional-based eigenindices, that are to here be related to the contorsioning of the holonomic substrate of the said "entropic photon," will bear a bending that is of a hermitian-based nature.  The rest of the holomorphic-based coniaxions of the so-eluded-to torsional-based eigenindices are here to bend in a Lagrangian-based Chern-Simons nature.  The light-cone-gauge topology of the said "entropic photon," will here be of an abelian or of a Kaluza-Klein nature, instead of being as a Yang-Mills nature.  This is in contrast to the light-cone-gauge topology of a non-entropic photon -- of which is of a Yang-Mills nature.