Homology Into A Cohomology

A zero-norm-state-projection that acts as a group-attractor, that is coming from the reverse-norm-to-holomorphic side of an individually taken homology that is isotropically unstable yet harmonic in its parametric topological sway, -- if it is moving in a direction that is most symmetric with the holomorphic eigenmetric of the so-eluded-to topological sway of the discrete open-loop that is working to form the mentioned homology, will tend to cause a Yukawa Coupling -- that will work to close the said open-loop via the Green Function, in such a manner that is hermitian, such as in the Fujikawa Coupling, yet in this case such a proscribed tense of activity works to involve here the closing of an initially open-loop Ward-Cauchy-relateld phenomenology, instead of working to close an open substringular strand.  This will tend to work to help at converting the said homology into a cohomology.I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As to The Idea Behind Substringular Recycling

Mini-Stringular segmentation is a general genus of phenomenology -- that is constantly being fed both into and out of both superstrings, first-ordered point particles, norm-state-projections, along with such a general genus of phenomenology as well as also being fed into other Ward-Cauchy-related phenomenology.   Such a constant re-distribution of mini-stringular segmentation, is part of what works to recycle substringular ground-states to norm-states -- and vice-versa.  Mini-Stringular segmentation is both: what works to form the holonomic substrate of substringular fields, what works to form the "yarning" of first-ordered point particles, what works to form zero-point-energy, etc... .  As far as I can currently surmise, the smallest phenomenology that can be divied-out, is on the order of mini-stringular segmentation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Recycling Of The Residue From Annharmonically Scattered Cohomologies

In the process of the Fourier-related translation of Gaussian Transforms, -- the Rayleigh scattering of GSO cohomological eigenstates that are formed on the relative multiplicit Real Reimmanian Plane, works to form a general tense of Ward-Cauchy-related residue, that is replenished by that general tense of Ward-Cauchy-related residue, that is formed by the Rayleigh scattering of Neilson-Kollosh cohomological eigenstates, that are, instead, to be formed off of the relative multiplicit Real Reimmanian Plane.  This happens in such a manner, to where such residues act, in so as to work to form a tense of a system of substringular or Ward-Cauchy-related recycling, over time -- in so as to help-out in the process of that general multiplicit freeing-up of room in the substringular, that is needed in order for each eigenstate of Hamiltonian operation, to be able to both persist and exist, as eigenindices of discrete energy that act in so as to allow for both the persistence and the existence of energy at all.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Gaussian Transformations Versus Kahler-Metric

I have often mentioned as to what Gaussian Transformations are, in leu of what it means to when a discrete quantum of energy is Gliosis to the Kahler-Metric.  Here is the difference between what each of these two ideas are, as I have tried to describe.  Gaussian Transformations refer to the condition of Hamiltonian operators of space -- relating to the existence of other Hamiltonian operators of space -- in so as to make room for the multiplicit Hamiltonian operators of space, so that spatial eigenstates may be able to freely move around enough, in order for spatial eigenstates to be able to both persist and exist over time.  Discrete quanta of energy being Gliosis to the Kahler-Metric, refers to that general activity that is to happen -- in order for those fractals of discrete energy to be re-attained by substringular eigenstates of energy, so that discrete energy may both persist and exist over time.  What I have just mentioned as the general "activity" of Gaussian Transformations is necessary, because space needs to often be "sturdied-up" in order for Hamiltonian operators of space to be able to viably relate to each other.  Furthermore, what I have just mentioned as the general activity of superstrings being Gliosis to the Kahler-Metric -- is necessary, because even though discrete energy is theoretically fully efficient, it actually is extremely close, yet not literally, 100 percent efficient.
I will continue with the suspense later!  To  Be Continued!  Sincerely, Samuel David Roach.

A Little More As To Homology Versus Cohomology

Substringular Ward-Cauchy-related physical memories, that are conical in their mappable-tracing -- tend to be of the nature of being homologies -- that generally tend to be made by open-strands of stringular phenomenology.  Whereas, substringular Ward-Cauchy-related physical memories, that are toroidal in their mappable-tracing -- tend to be of the nature of being cohomologies -- that generally tend to be made by closed-loops of stringular phenomenology.  Furthermore, substringular Ward-Cauchy-related physical memories, that are semi-toroidal in their mappable-tracing -- tend to be of the nature of being homologies -- that generally tend to be made by open-loops of stringular phenomenology. I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Examples Of Open Loop Phenomenology

Let us consider two different cases of Ward-Cauchy-based open-loop phenomenology, that exist in the sub stringular -- of which act in such a manner, that may be described of as a manner of being "hook strings."  Let us initially consider the first one that I had in mind.  There is the case of a sub stringular open-loop, that acts as an eigenindex of its own genus of Hamiltonian operation, that is isotropically stable.  This may be termed of as being a "1+1" string (not to be confused with a "2 dimensional" string).   It tends not to bear any significant topological-related torsioning across the "width" of its parametric dimensional symmetries.  There is, as well, the case of another sub stringular open-loop, that acts as an eigenindex of its own genus of Hamiltonian operation, that is isotropically unstable.  This may tend to be termed of as being a "2+1" string (not a 3 dimensional string).  This, on the other hand, tends to bear a significant topological-related torsioning across the "width" of its parametric dimensional symmetries.
I will continue with the suspense later!  To B Continued!  Sincerely, Samuel David Roach.

Homology Versus Cohomology

Here is the basic difference between what a homology is, versus what a cohomology is:
A homology is the physical memory as to the when, the where, and the how, that either an open substringular strand or an open substringular loop has differentiated, as a Hamiltonian eigenindex, over time.  A cohomology is the physical memory as to the when, the where, and the how, that a closed substringular loop has differentiated, as a Hamiltonian eigenindex, over time.  Such physical memories may be anywhere from being at a proximal locus, that is just external to the core-field-density of the superstring -- in other words, at the Ward-Cauchy-based field that is just external to the topological stratum of the substringular eigenindex, -- to being as a physical memory that may be extrapolated from the effect of such a respective strand or a loop, that has here to have just potentially differentiated through a Lagrangian that may be mapped-out, over a Fourier Transform that involves a sequential series of instantons.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Hamiltonian Wave-Tug Of Norm-State-Projections

Let us here consider either a Campbell, a Hausendorf, or a Campbell-Hausendorf norm-state-projection -- that is here to strike a zero-norm-state-projection, in a Gliosis-based manner, -- over the course of one relatively brief even gauged-metric.  Since the zero-norm-state-projection only involves both one first-order point particle at its relative norm-to-forward-holomorphic end, and one first-order point particle at its relative norm-to-reverse-holomrphic end, -- whereas both Campbell, Hausendorf, and Campbell-Hausendorf norm-state-projections, always tend to work to involve a greater Hodge-Index of first-order point particles at at least one of their two segmentation-related ends --- the respective norm-state-projection that is not eminent as a zero-norm-state-projection, will tend to bear a dominant Hamiltonian wave-tug upon the said respective zero-norm-state-projection.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Gravity Waves And Holomorphicity Of Impact

When one is to be considering the general angle, by which any one given arbitrary respective photon is to strike the externalized core-field-density of the correlative light-cone-gauge eigenstate -- that it is to come into contact with, in a Gliosis-based manner -- to where if the directly corresponding superstring and its directly corresponding counter string are then to be positioned at the relative left to the extrapolated positioning that one were to have, if one is to take the vantage-point of the norm-to-holomorphic positioning of the said photon -- in the direction in which the eminent scattering is to be made upon that general proximal locus, -- then, the consequently formed Schwinger-Indices that are thence to be made will then tend to have a higher expectation value in so as to be of a harmonic vibration.  Yet, if one is to be considering the general angle, by which any one given arbitrary respective photon is to strike the externalized core-field-density of the correlative light-cone-gauge eigenstate -- that it is to come into contact with, in a Gliosis-based manner -- to where if the directly corresponding superstring and its directly corresponding counter string are then to be positioned at the relative right to the extrapolated positioning that one were to have, if one is to take the vantage-point of the norm-to-holomorphic positioning of the said photon -- in the direction in which the eminent scattering is to be made upon that general locus, -- then, the consequently formed Schwinger-Indices that are thence to be made will then tend to have a higher expectation value of being of an annharmonic vibration.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Harmonics Of Gravity Waves

In the general case, as to when electromagnetic energy is to scatter by striking mass-bearing discrete energy -- when this is taken outside of a vacuum -- those harmonic gravity waves that are thence formed by the consequent quantization of the correlative Schwinger-Indices, that are thence expelled by the correlative light-cone-gauge eigenstate, will have the tendency of often moving in the direction of working to form the general phenomenology of sound.  Furthermore -- in the general case, as to when electromagnetic energy is to scatter by striking mass-bearing discrete energy -- when this is taken outside of a vacuum -- those annharmonic gravity waves that are thence formed by the consequent  quantization of the correlative Schwinger-Indices, that are thence expelled by the correlative light-cone-gauge eigenstate, will have the tendency of often moving in the direction of working to form the general phenomenology of heat.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Angle Of Strike Of Photons And Genre Of Schwinger-Indices

When any one given arbitrary photon is to strike the externalized core-field-density of any one respective light-cone-gauge eigenstate, that is of the correlative discrete energy  that the so-eluded-to discrete electromagnetic energy quantum is to make a Gliosis contact, with at potentially different covariant-related angles over time, -- this will then work to allow for the consequent potential variety of Schwinger-Indices that are here to potentially be formed by the so-inferred scattering of light, -- that is here to occur when a photon strikes another discrete quantum in a relatively direct manner.  Such a variety of potential angleings, works here to form the possibility of many different complex roots that may be formed, in the process of the consequent initial metrical and Lagrangian-based Chern-Simons singularities that may be formed by the result of the said photon being here in the process of directly hitting the externalized core-field-density, that is of one respective light-cone-gauge eigenstate -- as the just mentioned eigenstate is to here to be in the process of vibrating via the sub-Fourier process of gauge-bosons behaving in so as to act in so as to "pluck" the correlative second-order light-cone-gauge eigenstates, that are here to work to make-up the here mentioned overall first-ordered light-cone-gauge eigenstate, that the said photon is to strike in a strongly Yukawa-based manner.  The coupling of such so-eluded-to Chern-Simons couplings, in the form of the so-inferred Schwinger-Indices acting in so as to be quantizing in so as to form that general genus of holonomic substrate, that may be thought of as actual gravity waves, -- to where this tends to form a vast array of wave-based gravitational effects, that are then to tend to be made most Yukawa at that region that is most proximal local to those substringular neighborhoods -- by which the directly corresponding Rarita Structure eigenstates are to be most able to incorporate the attribution-based  effects of these said gravity wave eigensets or gravity waves.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some More As To Schwinger-Indices And Gravity Waves

After the general Fourier-related activity of gauge-bosons -- acting in so as to "pluck" the correlative second-order light-cone-gauge eigenstates of one respective discrete quantum of energy, in a manner that is metaphorically like a harp being played -- to where this is to form Schwinger-Indices, that are thence to be propagated outward from the here directly corresponding locus of the correlative discrete quantum of energy, -- the consequent Schwinger-Indices that are thence formed, are initially formed as a fractal of what are commonly thought of as gravity waves.  Once enough of such a general genus of Schwinger-Indices are to become eigen -- via the here consequent quantization of the so-eluded-to vibrations that are here to be propagated along the proximal local Hamiltonian operand-related eigenstates that are here of the Rarita Structure -- this happens to where the consequently formed eigenstate of holonomic substrate that are to literally act, in so as to be effectual as a metrical-gauge-related eigenstate of what we would normally think of as actual gravity waves, are thence to be formed.  Since gravity waves are a set of Schwinger-Indices-related eigenindices, that come together in a quantific manner -- in so as to operate in order to perform one specific function in space and time, -- gravity waves behave as to the multiplicit vibrations along the Rarita Structure, as orbifold eigensets are to behave as those directly corresponding discrete quantum of energy that work to comprise any said given arbitrary orbifold eigenset.  Once that enough of any one specific set of Scwhinger-Indices that are formed, in so as to act as a fractal of gravity waves, are to be quantized enough, in order to perform one specific viable Ward-Cauchy-based function in time and space, -- the consequently formed gravity waves are vibrations or wave-like phenomenology, that are simultaneously propagated -- in a manner that is relatively outward and perpendicular to the proximal locus region that such individualy taken gravity waves are to be traveling through -- in the form of one relatively symmetric or one relatively assymetric homotopic gravitational-based Hamiltonian operator, that is pulled through the correlative Hamiltonian operand that it is being transferred through, as such gravity waves are to consequently to be delineated along its directly corresponding Lagrangian-based path.  Such gravity wave-based eigensets, (what are most commonly thought of as the individually taken gravity waves themselves), are extremely smaller in diameter than a wavelength of light, although such gravity wave eigensets are extremely larger than the diameter of one discrete increment of a quantum of energy.  Such gravity waves tend to have a diameter that is on the order of 10^(-18) of a meter to 10^(-21) of a meter.This would then make gravity wave eigensets, or, to keep it simple, gravity waves, -- to be basically logarithmically in-between the size of a discrete quantum of energy and the size of any respective given arbitrary wavelength of electromagnetic energy, as such a quantization of vibrations along the Rarita Structure, is made Yukawa to discrete energy--  over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David.

Course 20, Session 10 -- Part One

Light and all other forms of electromagnetic energy, tend to travel in multiple beams of energy, that are interconnected -- via a process known of as quantization.  Any electromagnetic energy that is here to be propagated, is to be transferred through space and time, in discrete bundles of photons, -- of which are here to be delineated upon their environment, in the form of one or more beams of energy, over the course of the general duration of time (and in the path of least time).  Different types of electromagnetic energy exist in different beam-related bundle sizes, of which work to help in causing the general condition of the many different sizes of wavelengths of electromagnetic energy -- that are here to exist as differentiating in a kinematic-related manner, over the multiplicit sequential series of group-related instantons, that are to be happening in realm of the light energy and the light matter that exist in physical space and time.  Such so-eluded-to variations in the genre of the different sizes and types of wavelengths of electromagnetic energy that are to exist in the multiverse, helps to form the individually taken operations that each specific genus of electromagnetic energy is to form -- as such electromagnetic energy is to work to influence its environment in an interdependent manner, as such said energy is to be Yukawa to other energy in the realm of space and time.  All motion exists relative to both the existence and the velocity of light, over time. Photons exist in p-fields, and photons, when individually taken, are the discrete increments of electromagnetic energy.  All light and all other forms of electromagnetic energy, exist in integer-related packets of one or more photons.  Therefore, this happens in such a manner, to where all motion exists relative to both the existence and the velocity of the general genus of the most important generic type of p-field, -- to where all motion exists relative to light.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Photons And Rham Cohomology

Let us initially consider a given arbitrary photon -- that is moving transversally via a unitary Lagrangian-based path, -- in so as to work to form a Rham cohomology, over an evenly gauged Hamiltonian metric.  Such a photon may be said to be basically just generating cohomology in such a case (as opposed to degenerating cohomology).  Next, let us say that the said photon is to, all of the sudden, be scattered upon a phenomenology of holonomic substrate -- that such a photon is to eminently become Yukawa towards, in a Gliosis-related manner, -- at an instance of time.  Once the said photon has been scattered -- the consequently entropic photon is to then to briefly be just degenerating cohomology, as it is in the consequent operation of its perturbated Fourier Transform (as opposed to generating cohomology).  As such a so-stated photon is here to have then to have acted as an entropic eigenstate that is, over one relatively transient gauged-metric, to have gone from its prior condition of just generating cohomology -- into a state of Ward-Cauchy-based conditions, to where it is instead to be just degenerating cohomology, -- the photon of such a given arbitrary case scenario, that has just become entropic, is to now be moving along in such a manner -- to where it is to then to be working to form a Doubolt cohomology, -- in so long as the so-stated photon is in the process of scurrying via  the process of radiative scattering.  Once the said photon is to go back into quantizing with other light, -- then, the said photon will tend to return to going back into the tendency of basically  just  generating cohomology, via the Hamiltonian processes of a consequently formed Rham cohomology -- that will be aptly utilized instead, in such a case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Perturbative Cohomological Eigenstates

Besides the more obvious general reason as to why an initially Rham-based cohological eigenstate, is to be perturbated into the ensuing general tense of a cohomological stratum, that is known of as a Doubolt cohomology, -- as to when a Rham cohomology is to scatter upon another cohomology, in such a manner that the initially mentioned Rham cohomology is to then to tend to become, instead, of the said Doubolt-related nature, -- there is as well to be one other epifany-related additional general alterior reason -- as to why an initial Rham cohomology is to eventually become of a Doubolt nature, to where this is because of the eventual spontaneous proximal local presence of certain entities, which may be as both group-attractors and/or the proximal local presence of certain entities, which may be as ghost-inhibitors, -- to where both of such just mentioned general categories of what would generally be as the nature of being Cevita-related Hamiltonian operators, are here to have an eminent tendency of, via the innate Hamiltonian operation of the activity of their respective Fourier Transforms, to helping at causing a peturbative effect upon both the pulsation and/or the path-based flow of the so inferred orbifold eigenset, that  was to initially be functioning as a Hamiltonian operator that was here to be undergoing a Fourier Transform -- via the mappable-tracing of the initially mentioned Rham cohomology, that is here to be extrapolated as to then of becoming of a Doubolt cohomology, over an evenly gauged  Hamiltonian operation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Dual-State Metrical Coupling

Let us initially consider two different orbifold eigensets -- of which are each traveling here through a discrete Lagrangian, to where both of the so-inferred Fourier-related Lagrangian-based settings, that are here to be in the process of being propagated -- are hermitian in a Lagrangian-based manner, even though both of the said cohomologies are here to be eminently Chern-Simons when this is taken in a metrical-based manner, -- over an evenly gauged Hamiltonian operation.  Let us next say, that the two distinct substringular pulsations, that are here to have been being made by both of the individually taken orbifold eigensets, are here to bear a potential tense of being made  Ward-Supplemental to each other when in a metrical-related manner -- if both of the said eigensets were to strike each other at a certain angle -- over the course of the mentioned evenly gauaged Hamiltonian operation.  Let's next say that such a so-eluded-to Gliosisi-related contact was to happen -- in so as to then to work to cause both of the said orbifold eigensets to then to be hermitian in both a Lagrangian-based manner, as well as in a metrical-based manner too, in this particular case.  Such a coupling would often then tend to form a Rham-related cohomological eigenstate of dual-state eigenindices, -- of which would, as well,  to tend here to then be in the process of generating more cohomology than it is then to be degenerating.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two Of Black-Hole "Blow-Torches"

When holonomic substrate from black-hole "blow-torches" exit the apex-like end of an individually taken black-hole, this antimatter is then acted upon, in so as to convert the effectual De-Sitter/Ante-De-Sitter gravitational directoralization that is of its associated Ricci Scalar, into an Ante-De-Sitter/De-Sitter gravitational directoralization that is of its associated Ricci Scalar -- at that general point in time.  Yet, in this case, the illumination of the described "blow-torch" is then to work to form an eminent tense of impedance, upon what may be described of metaphorically as a "jet-stream," to then to work to convert the given antimatter into matter.  Again, the cohomological binding of multiple "blow-torches" may often work to form a supernovae, which, when perturbated upon in a Dirac-like manner, may often work to form a Nebulae.  In either case, some phenomena that is frayed in a black-hole, is tugged-in by the consequent tremendous gravity -- while then being converted into an anti gravitational phenomenon, that is then "spit-out" of any given arbitrary said black-hole.  Disorganized material phenomena that is "spit-out" will then exit the wide end of a black-hole -- while disorganized anti-matter-related phenomena will, instead, exit the apex-like end of a black-hole.  In either case, such "blow-torches" often accumulate -- in so as to work to form supernovas, of which often work to form Nebulae, that redistribute material phenomena through the universe.  This is not the only way supernovas are formed, though.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Part Two As To Coupled Cohomologies

Let's initially take into consideration two different distinct orbifold eigensets, to where both of these said eigensets are here to be undergoing their respective Fourier Transforms in a manner, that is both covariant, codifferentiable, and codeterminable -- over an evenly gauged Hamiltonian operation.  Both of these said respective orbifold eigensets, are here to bear two individually taken Rham cohomologies -- as well as the condition that these orbifold eigensets are here to be undergoing their respective tenses of the general processes of a Majorana-Weyl-Invariant-Mode.  Next, let us say here, that there is to soon be the eminent presence of a group-attractor, that is here to be Yukawa to both of the said orbifold-related phenomena.  These orbifold eigensets are here to be proximal local, as well as to here to be consistently of the same layer of reality.  The earlier mentioned group-attractor is here to bring about a certain Cevita interaction upon the two said eigensets, by drawing both of the initially eminent Rham cohomologies out of their respective tenses of Majorana-Weyl-Invariance -- over a transient span of a sequential series of group-related instantons.  Consequently, both of the earlier mentioned Rham cohomologies, will soon alter in so as to then to become of the nature of two initially distinct Doubolt cohomologies.  After an ensuing relatively brief number of instantons after the so-inferred Rayleigh-related cohomological perturbation, the two spurious respective Doubolt cohomologies will then often be of the nature -- in so as to potentially tend to couple into one overall cohomology.  If the activity of such a coupling, is to bring about a Reimman scattering of  cohomological eigenindices -- that are to tug the two initially adjacent Chern-Simons cohomologies into a tense of to then to work in such a manner, in so as to become of one Rham-based cohomological holonomic substrate, then, the resultant Wess-Zumino interaction will then often tend to work to form a dual state of metrical-gauge-related Hamiltonian operators -- that work here to form one overall tense of a Majorana-Weyl-Invariant-Mode. 
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Coupled Cohomologies

Sometimes, when two Doubolt cohomologies are to couple into one overall tense of a topological stratum, in so as to work to produce a certain given arbitrary Wess-Zumino interaction -- the resultant holonomic substrate of cohomology, will then work to become of a Rham-related nature.  Often, such a resultant respective Rham cohomology, will work to bear a relatively high scalar amplitude of Majorana-Weyl-Invariance.  When this is to occur for a set of orbifold eigensets that are of a Calabi-Yau nature, -- such eigenindices of the just implied general genus of Majorana-Weyl-Invariant-Mode, will often tend to then generate as much cohomology as it is to degenerate, -- over an evenly gauged Hamiltonian-related metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Eminent Formation Of A Photon

When the Fujikawa Coupling is to  happen, at a relatively proximal local Ward-Cauchy-based region -- an electron is to release its excess discrete energy quantum, in the form of a photon.  As an ansantz, whenever the Fujikawa is to thus happen -- the eminent photon that is thus formed, is to follow a different general Lagrangian-based path, than that given arbitrary respective electron, that is here to fall back-and-forth an energy level, in so as to release a discrete quantum of kinetic energy -- in the form of a discrete quantum of electromagnetic energy.  This obvious foresight is due to the following general Ward-Cauchy-based principle:  The directly corresponding electron, is here to work to tend to bear the condition of being of a d-field.  The directly corresponding photon that is formed by the release of an excess discrete quantum of energy -- that is expelled by the earlier mentioned electron, is here to work to tend to bear the condition of being a p-field.  The d-field of an electron -- when given its general conditions of both its angular momentum and its spin-orbital momentum, -- is to bear discrete quanta of energy that work to comprise the said electron, that have one set of potential tendencies of holomorphic drive.  The p-field of a photon -- when given its general conditions of both its angular momentum and its spin-orbital momentum, --  is to bear a different set of potential tendencies of holomorphic drive, than individually taken discrete energy quanta that are of a d-field, would otherwise tend to be tugged into.  Such a general difference in holomoprhic-based tendencies, is one of the general Ward-Cauchy-based conditions, that works to help at causing the eminent photon, that is thus formed by an electron, to follow a different general Lagrangian-based path -- than the directly corresponding electron that is here to fall back-and-forth an energy level to produce such a respective photon, is here to have taken.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part One As To Some Stuff About Black-Hole "Blow-Torches"

Black-Holes are torsioning funnels of gravitational pull, that are formed by collapsed white dwarf stars.  Gravitational force tends to obey g = (MmG/(R^2)).  Here, g means a gravitational force.  "M" means the larger mass that is considered in a given case.  The "m" means the smaller mass that is considered in a given case.  "R^2" is the radius of the larger mass squared.  "G" means the Universal Gravitational Constant.  When a white dwarf collapses into a highly massive relatively pointal distribution of frayed sub-atomic particles, the "R" of "R^2" is of the radius of the larger mass, to where "M" is much larger in radius than "m," and therefore "m" has a much smaller radius than "M."  Such a dense delineation of a relatively small volume, that is frayed, is to then to form a torsioning -- that not even light can escape when it is tugged-in by the kinematic activity of any given arbitrary respective black-hole.  Once a black-hole starts to form, the dense relative "bottom" (the norm-to-reverse-holomorphic end) of the given black-hole, turns into a conical apex of that selfsame black-hole.  Black-Holes fray substringular phenomena, and such a resultant torsioning funnel of strong gravity -- that is consequently formed -- has relatively few ways of being destroyed.  At times, "jet-streams" of frayed phenomena are expelled from the larger opening of a black-hole.  Such "jet-streams" work to become illuminated by the surrounding electromagnetic energy, in so as to add impedance to such "jet-streams," -- in so as to not only keep its velocity under light speed, yet also such impedance works to reverse the De-Sitter/Ante-De-Sitter gravitational directoralization of the given "blow-torches' " genus of the proximal local Ricci Scalar attribution, in so as to work to cause the given "streams" to convert from initially working to bear an anti gravitational flow into a gravitational flow.  Both the Calabi-Yau, the Calabi-Wilson-Gordan, and the Calabi-Calabi interactions of electromagnetic energy -- that are here to work to bear a Gliosis-based contact upon the given "blow-torches," along with the given reversal of the associated genus of the proximal local Ricci Scalar attribute, is then to act in so as to re-assemble the frayed superstringular phenomena, to go back into the consequent formation of discrete unfrayed superstringular quanta-related phenomenolgy -- that are thereby able to interact in a viable manner with other discrete unfrayed superstringular quanta-related phenomenology -- in such a manner in so as to decrease the initial excess relatively proximal local Ward-Cauchy-based permittivity, over time.  The accumulation of such "blow-torches" that have here to have coallesced and differentiated in the general region of such a said black-hole, will sometimes work to form a supernovae, which, when acted upon by a Dirac-like perturbative force that has a relatively large macroscopic scalar amplitude, may sometimes consequently decompactify by thus working to form a Nebulae.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two As To Why Gauge-Transformations Are Thus Called

When a superstring of discrete kinetic energy permittivity from an electron is to undergo the Fujikawa Coupling via the Green Function, in the process of being expelled from the said electron into the form of a photon, -- the correlative open string of discrete kinetic energy permittivity is to then to be transformed into a closed string of discrete electromagnetic energy permittivity over, the course of the so-eluded-to duration of such a correlative Fourier Transformation.  An open string is fermionic.  A closed string is bosonic.  Fermionic superstrings of discrete energy permittivity work to each bear five second-order light-cone-gauge eigenstates to work to comprise the one first-order light-cone-gauge eigenstate, that is to directly correspond to that respective given arbitrary fermionic superstring.  Bosonic superstrings of discrete energy permittivity work to each bear ten second-order light-cone-gauge eigenstates, to work to comprise the one first-order light-cone-gauge eigenstate that is to directly correspond to that respective given arbitrary bosonic superstring.  When the Fujikawa Coupling is to happen to one given arbitrary respective fermionic superstring as such, each of the five second-order light-cone-gauge eigenstates that had here to have worked to form primarily the wave-based quantum of the discrete energy impedance of the directly corroborative discrete quantum of energy bundle (via the net overall Schwinger-Index eigenstate that is to thus to be formed by those vibrations, that are here to be made by the "plucking" of the individually taken said second-order light-cone-gauge eigenstates), -- is to retie into ten second-order light-cone-gauge eigenstates, that are then to be of the discrete energy quantum bundle of the here resultant bosonic superstring as such.  The second-order light-cone-gauge eigenstates that are of a bosonic superstring of discrete energy permittivity, always tend to bear half of the cross-sectional thickness of the second-order light-cone-gauge eigenstates that are of a fermionic superstring of discrete energy permittivty.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Of As To Why Gauge-Transformations Are Thus Called

When a photon is to strike the externalized core-field-density of a given arbitrary light-cone-gauge eigenstate, that is of another discrete quantum of energy, in a  Gliosis-based manner -- the said respective photon that had just been scattered by coming into a direct contact with another discrete quantum of energy, over the immediately ensuing 384 consecutive iterations of group-related instanton, is to go from working to bear a Yang-Mills light-cone-gauge topology, into working to bear a Kaluza-Klein light-cone-gauge topology, while then, after the completion of the so-mentioned 384 consecutive iterations of group-related instanton, the so-stated photon is to return to then bearing a Yang-Mills light-cone-gauge topology.  This general tendency is to happen, every time that a photon is to scatter upon another discrete quantum of energy.  The directly corresponding genus of Gaussian Transformation, that is related to that type of Fourier Transformation, that is here to be involved with any given arbitrary scattering of light that is to happen when discrete energy is Gliosis to the Kahler-Metric, is known of as a gauge-transformation.  In the process of such a general genus of activity, that is here to act in so as to work to remold second-ordered light-cone-gauge eigenstates -- into more of an innate Yukawa inter-relattionship with their directly corresponding gauge-bosons, the multiplicit discrete quantum of energy impedance, that is directly correlative, is here, to then act in so as to re-attain those fractals of discrete energy impedance that these need to re-attain, so that discrete energy impedance may both persist and exist, over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cassimer Invariance And Majorana-Weyl-Invariance

Since Cassimer Invariance is the perpetual tendency of substringular phenomenology interchanging eigenstates to maintain homotopy per instanton, -- the more intertwined that the homotopic eigenindices of any substringular case scenario, that is directly corresponding to an orbifold eigenset, will tend to be, the more that the directly corresponding orbifold eigenset will then ted to be in a higher scalar amplitude of a tense of a Majorana-Weyl-Invariant-Mode.
I will continue with the suspense later!   To Be Continued! Sincerely, Samuel David Roach.

Ghosts And Gravity Waves

The substringular residue that may be derived from the enharmonic scattering of Gliosis-Sherk-Olive ghosts, works to act in the recycling process of norm-state indices, in the balance of the substringular residue that may here be derived from the enharmonic scattering of Neilson-Kollosh ghosts, -- in such a manner, to where the activity of the Rarita Structure is to here to be directly involved with the process of such a recycling-based nature.  Gliosis-Sherk-Olive ghosts are formed by the physical memory of the motion of superstrings of discrete energy permittivity, over time.  Relatively as soon as such physical memories as to the where, the when, and the how that any correlative superstrings that had just acted via a directly corresponding Fourier Transform, that is to here have just recently ended in its respective duration in any one of such respective given arbitrary cases, -- such a so-eluded-to integration of eigenindices of such a directly corresponding Reimman scattering will then be enharmonic scattered into residue, that is to then to be transferred off of the relative Real Reimmanian Plane as norm-state indices.  Likewise, as I have mentioned in earlier posts, the correlative Neilson-Kollosh ghosts are formed by the physical memory of both gravitons and gravitinos -- to where these just mentioned particles of which are innately here, to be off of the Real Reimman Plane.  The soon to be enharmonically scattered Neilson-Kollosh ghosts are to then to be transferred, via the activity of the Rarita Structure, as norm-state-projections that are to then be spatially occupied onto the relative Real Reimmanian  Plane.  Those eigenindices of the Rarita Stucture, that are to here to assist with the transferrence of such ghosts,  are a multiplicit form of Schwinger-Indices, that are to here be an association of gravity waves.   Ghosts in this case are a way of considering the temporal nature of cohomological indices.
I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

Some Stuff As To Kovanov Homology

Here is one way to possibly look at the relations of a correlative Kovanov homology.:
Let us initially consider an orbifold eigenset, that is being translated across a gauged-metrical-transform -- over one given arbitrary Fourier-related Transform.  Let us say that the directly corresponding Chern-Simons Invariants -- when this is taken in terms of both the correlative pulsation and the correlative delineation of the said orbifold eigenset -- is to here be of a trivial isomorphic-based nature, as the said eigenset is to here to be translated via a Hamiltonian operand, that is to be correlative to a Lagrangian-based path -- that is to here to be of an innately Rham-related nature, over the so-eluded-to relatively transient duration in which the said orbifold eigenset is to be acting as such.  Under such an inferred set of Ward-Cauchy-based conditions -- such an orbifold eigenset will then tend to be of a hermitian nature, -- both in terms of its Lagrangian-based tendencies, as well as in terms of its metrical-based tendencies, -- in so long as such a correlative metrical-gauge-based Hamiltonian operation is to be gauged of as an even function, over time (to where time is here to be a given arbitrary sequential series of group-related instantons).  I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Part Two Of Session 9 Of Course 20

Once light is scattered, the said electromagnetic energy travels while initially working to bear a Kaluza-Klein light-cone-gauge topology -- as the directly corresponding scattered photons are to here to temporarily be of an entropic nature.  This means that the light-cone-gauge eigenstates that are here to work to comprise the said entropic photons, are -- over the course of bearing a Kaluza-Klein topology -- to be of an abelian geometric nature.  When the light-cone-gauge eigenstates that are of a set of superstrings, are to be of an abelian geometric nature -- this means that those second-ordered light-cone-gauge eigenstates that are here to work to comprise each of the individually taken discrete energy quanta, that are here to work to comprise the so-eluded-to orbifold eigenset (and an orbifold eigenset is a set of superstrings that operate in so as to perform one specific function), are to bear a relatively supplemental translation across the correlative Laplacian-based Lagrangian in which these are to be relatively positioned at, over the directly corresponding individually taken iterations of instanton, in which these are to have an abelian geometric nature.  When electromagnetic energy is to be re-quantized, it is then to work to re-attain a Yang-Mills topology.  This means that the individually taken light-cone-gauge eigenstates that are here to work to comprise the said electromagnetic energy that is here to be re-quantized, is then to re-attain a non abelian geometric nature.  This will then consequently mean that the second-order light-cone-gauge eigenstates that are here to work to comprise the individually taken discrete quanta of energy impedance, are then to bear a relatively sinusoidal translation across the correlative Laplacian-based Lagrangian in which these are to be positioned at, over the directly corresponding individually taken iterations of instanton in which these are to have a non abelian geometric nature.  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

The 9th Session Of Course 20 -- Part One

Light always travels in a given framework of topology.  The framework of topology that light travels in when the given light is approaching a phenomenon that it is about to scatter upon, is different from the framework of topology that it travels in -- at the moment right after the light has scattered upon a phenomenon, -- the last of which is different from the framework of topology that light travels in when the given light is to go back to being quantized with other light.  This just stated general condition is true not only about light -- yet it is as well as true with any other genus of electromagnetic energy.  The topology involved with any actual beam of electromagnetic energy, has a different framework than when the given electromagnetic energy is scattered.  The same set of eigenindices that had initially worked to comprise the here stated electromagnetic beam just as it is being scattered, has a different topological framework from the light-cone-gauge topology of the just eluded-to Ward-Cauchy-based condition, once that said energy is requantized. Actual light, as well as all actual electromagnetic energy besides light, travels with a Yang-Mills light-cone-gauge topology.  This means that all of the light-cone-gauge eigenstates that work to comprise the primarily wave-based discrete energy impedance-related quanta, that are here to work to comprse this so-stated electromagnetic beam -- are of a non-abelian nature.  This means that all of the second-ordered light-cone-gauge eigenstates that are here to work to comprise each of the correlative individually taken first-orderd light-cone-gauge eigenstates, that are of each of the directly corresponding discrete energy quanta, that are to come together in so as to work to form the said beam of light, are to exist as Laplacian-based sinusoidal waves of "twined" mini-stringular segmentation -- that are to be fed-in to the proximal locus.
I will complete the idea that I have just started here soon.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

What A Synchrotron Is

A synchrotron, (not to be confused with a cyclotron), is a device that is used to study microscopic particles, via an electrical basis of multiplicit electron-based emission, that would here involve electrons that all move in a process of a relatively steady rate -- when the extrapolated given arbitrary common rate of electrical emission is here to be taken at the same respective speed -- as taken through the vantage-point of the conicenter of the coniaxial of the said synchrotron.  As with cyclotrons (as here to be compared with synchrotrons), the electrical emission that I have just eluded-to -- is kinematically functional, even though the outer elliptical-based volume of that directly corresponding multiplicit circular dual-conjugated rhombus, -- where the correlative electrons that are here to be used to detect any microscopic aberrations -- down to any viable atomic-based quadrapole, are all constantly accelerating, via the condition that these are all constantly changing direction.  The eluded-to Majorana-Weyl-Invariance of such a case, is then to be made covariant, in terms of the integrable Lagrangian-related particles that come up here -- to work to form both the conductivity and the capacitance of the said synchrotron. Each of the here surrounding correlative eigenstates of such so-eluded-to particles that may be extrapolated -- in so as to be proximal local to the specific path of the earlier mentioned Lagrangian, is to operate here as I have said -- to where such particles that may be determined in so as to have a relatively high expectation value of being in the said Lagrangian-based path, are to then to tend to be externally Gliosis to its immediately adjacent locus, as such directly corresponding particles are here to work to form a respective quantific whole of a relatively steady-state electrical pulse, that works to map-out the correlative tracings of any directly corresponding microscopic existence and activity that may be gauged of, again, in such a manner as to having at least some probability of existing at a relatively confined locus, that may be potentially gauged with at least some sort of accuracy, down to a locus that may be viable in extrapolation down to an atomic-based quadrapole.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Overall Holomorphic Direction

Let us initially consider the holomorphic tendencies of one given arbitrary superstring of discrete energy permittivity, that works to comprise an orbifold eigenset -- that acts as an eigenstate of an f-field. Consider the overall radial and/or transversal-based holomorphic tendencies that such a said superstring is to have the capacity of moving through -- in a metrical-based manner -- in so as to work to help at forming a sequential series of iterations of the processes of Noether-based flow, -- in so as to potentially be indicative of any potential combination of Stoke's-based Planck-related motions, that will here be appertaining to the directly pertinent combination of radial and/or transversal Planck-related quantum motions that are per successive iterations of group-related instanton, -- to where this may here work to be correlative to the group-related action of the overall motion of the so-stated orbifold eigenset --  to where the net overall effect of such so-eluded-to integrative tendencies, will then work to help at causing the overall holomorphic tendency as to the motion of the said orbifold eigenset over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little As To Chern-Simons Cusps

Let's consider an orbifold eigenset, that is here being translated as a discrete metrical-gauge-based Hamiltonian operator -- that is here to transcribe a discrete Lagrangian path of concavity, that is primarily of a concave-up nature, -- to where such a transcription of a cohomological mappable-tracing of a discrete Lagrangian path, is here to be hermitian along such a so-eluded-to gauged-metric, when this is taken in both a Lagrangian-based manner, as well as also in a metrical-based manner, too.  This will then work to mean that such a translation of cohomology at this point in spanned duration, will work to bear no Chern-Simons singularities.  At some point along the projected trajectory of the orbifold, -- as the said orbifold eigenset is here to be mapping-out a primarily generative cohomology, that is here to be smooth in both its euclidean-based and in its homotopic-based torsional eigenindices, -- the discrete Lagrangian-based concavity, that is here to be consequently transcribed, will then be spontaneously perturbated into a Lagrangian-based spike, that will here work to cause the so-stated orbifold eigenset to then change in more derivatives than the number of spatital dimensions that it is moving through.  This eminent Ward-Cauchy-based condition -- of a set of consequent Lagrangian-based Chern-Simons singularities, will then tend to be proximal local to the holonomic substrate of the correlatve orbifold eigenset -- to where there will also tend to be the simultaneous presence of a set of metrical-based Chern-Simons singularities, -- via the vantage-point of a central conipoint.  The larger the orbifold eigenset is, in terms of the Hodge-Index as to the overall quantum of energy that the said orbifold eigenset is here to be comprised of, -- the more of a potential variety of complex-roots that may possibly be extrapolated by the consequent Chern-Simons-based Fourier Transformation, that is of the then ensuing activity of the said orbifold eigenset, over time.  Such a just mentioned "spike" may be described of as a Chern-Simons-related cusp.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To Ward-Based Acute Angling

Here is the general idea as to what I meant in my earlier post, as to the concept that I tried to convey about a Ward-based acute angle of strike, that is of a photon striking upon a discrete quantum of energy.  Let us consider here, that the discrete quantum of energy of an electron that is to subsequently be struck by a photon, is here to be traveling in what may here be called the relative forward- holomorphic direction.  Let us next say that the photon that is about to strike the said discrete quantum of energy, this said discrete energy of which is here of the said electron, is to veer from an initial relatively forward- holomorphic/reverse-Njenhuis-to-forward-holomorphic positioning, to then moving into the relatively reverse-holomorphic/forward-Njenhuis-to-reverse-holomorphic direction -- as the said photon is to make an oblique Gliosis-based contact with the externalized core-field-density of the first-order light-cone-gauge eigenstate, that is of the discrete quantum of energy of the said electron that is about to be struck by the here correlative photon.  At this point, map-out the cohomology that is to exist here -- between the Laplacian-based Lagrangian path of the Hamiltonian operand, that may be extrapolated: from the initially formed path of the discrete quantum of energy of the electron that was to ensue in so as to be struck, -- which is to be taken soon before it had been scattered upon --,  with the Ward-based proximal locus where the photon had made its ensuing Gliosis-based contact with the said discrete quantum of energy, that works here in correlation to what the respective photon had been just about to scatter upon, up to the inverse direction as to where the photon had just came from -- directly prior to the so-eluded-to process of the scattering of that said respective given arbitrary photon, upon the proximal locus where the correlative electron was hit.  Take this as a planar sub-tension, that is here to involve a minimal Stoke's depth.  Such an acute planar angling is here, the general idea as to what I meant by a Ward-based acute angling of scattering.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Angle Of Light Scattering Strike

When any one given arbitrary photon is to strike the externalized core-field-density, that is of the first-order light-cone-gauge eigenstate of another discrete quantum of energy -- in an oblique manner that is of a Ward-based acute angling -- the spontaneously ensuing gravity waves that act as Schwinger-Indices that are thus consequently formed, will tend to be of more of a harmonic nature, than if the approach of the photon when in the process of such a so-eluded-to scattering, were instead of an oblique Ward-based obtuse angling.  Consequently, -- when any one given arbitrary photon is to strike the externalized core-field-density, that is of the first-order light-cone-gauge eigenstate of another discrete quantum of energy -- in an oblique manner that is of a Ward-based obtuse angling -- the spontaneously ensuing gravity waves that act as Schwinger-Indices that are thus consequently formed, will tend to be of more of an enhharmonic nature, than if the approach of the photon when in the process of such a so-eluded-to scattering, were instead of an oblique Ward-based acute angling.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Impact Of Light Scattering

When a photon is to scatter upon an electron, -- as it always tends to do when it is to strike in a Gliosis-based manner, the externalized core-field-density of the first-order light-cone-gauge eigenstate of a discrete quantum of energy that works here to comprise the respective given arbitrary electron that is of such a case scenario -- then, the more orthogonal that such a Gliosis-based contact is to be, the more of an immediate impact that the scattering of the said photon is to be upon the said electron, in the process of the directly corresponding scattering of electromagnetic energy, that is here to then follow or ensue.  Furthermore, the more of an immediate impact that the scattering of a photon upon a discrete quantum of energy that is of an electron is to be, -- the more Schwinger-Indices, in the form of gravity waves, will then tend to be formed by the process of such a respective given arbitrary scattering.
This is enough to digest for now.  To Be Continued!  Sincerely Samuel David Roach.

Characteristics For Topological Extrapolation

There are a few general categories of topological extrapolation, that I can think of from scratch -- that may work here to bear a given arbitrary extrapolation, in so as to further to be able to understand even better, the respective correlative holonomic substrate of topological stratum -- that is to here to be directly associated with certain given arbitrary Ward-Cauchy-based phenomenology, that is here of a substringular nature, over time.  1)  Consider both the Laplacian-based nature as well as the Fourier-based nature, that is of both that spatial and that dimensional compactification-based tense, -- by which any respective  orbifold eigenset, is then to be able to be extrapolated as one holistic entity.
2)  Next, -- consider the nature of both the fractal and the elastic module, if you will, of the topological stratum, that is Poincare to the Gliosis-based surface, of the here respective orbifold eigenset.
3)  Furthermore, -- consider both the Laplacian-based Ward-Cauchy conditions and the Fourier-based Ward-Cauchy conditions, by which the correlative knotting that is to be taking place here, from within the physical bounds of the said respective orbifold eigenset, is to happen, --  as both a time-related phenomenology and also as a non-time-oriented metric-gauge-based holistic quantum of energy, that is to be pulled into its kinematic group-related activities, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Yukawa Kahler-Metric

The more Yukawa that the Kahler-Metric is, to any one given arbitrary discrete quantum of energy that is at one set gauged-metric, -- the more asymmetric that the adjacent gauge-bosons of the said respective given arbitrary discrete quantum of energy will then tend to be.  The more asymmetric that the adjacent gauge-bosons of any one respective given arbitrary discrete quantum of energy will be, -- the more harmonic that the resultant formed Schwinger-Indices that act as gravity waves, will then tend to be.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Clifford Differentiation

A tense of a Clifford differentiation, will tend to elude to the presence of the generation of cohomological indices, by a given arbitrary source, -- whereas a tense of a Dirac Clifford differentiation, will instead tend to elude to the presence of the degeneration of cohomological indices , by a given arbitrary source. I will continue with the suspense later!  To Be Continued!  Sam Roach.

Session 8 Of Course 20 -- Calabi Manifolds And Calabi Interactions

A beam of light will always have a tendency of moving in as much of an optimum manner that it is able to, in so as to move in a straight line, -- unless it is either scattering, or, unless it is being bent by a medium that is other than a vacuum of free space.  Light generally quantizes into many beams of light at a time.  Also, light tends to move in the direction of least time.  Let's say that a beam of visible white light is here to travel down from the sky.  Let's say that the beam of light that is here to be given, is to strike the top of a trampoline.  (The stretchable part.)  When the light beam given was here to be traveling toward the said trampoline, the given light existed as an orbifold eigenset, that had a Clifford differentiation that was of a euclidean nature.  The light beam existed as an orbifold eigenset, in part, because  the said beam was a manifold of magnetism that also had an electric field that is directly associated with it.  Any manifold of magnetism, is a structure that is here to work to involve one or more orbifold eigensets.  Any orbifold eigenset that differentiates in either size and/or shape, has a Clifford differentiation associated with it.  When an orbifold eigenset is differentating in either its size and/or shape -- in a non-accelerated and smooth manner that is hermitian, then, the orbfiold eigenset given here -- is said to have a Clifford differentiation, that is here to tend to be completely of a euclidean nature.  The given beam of white light in this case, is an orbifold eigenset that is non-accelerated and smooth and hermitian, -- and is thereby completely euclidean, until the beam of light is to strike the said trampoline in a Gliosis-based manner.  Once that the given light beam is to strike the given trampoline, the beam of light is then to scatter in a Calabi-Yau interaction -- in which the scattered light is to then be both absorbed as heat, and refracted by the material of the trampoline in general as well.  Scattered light exists as a Dirac Clifford differentiation.  An example of a Dirac Clifford differentiation, is when an orbifold eigenset of electromagnetic energy -- is here to differentiate in an accelerated manner, that is both Chern-Simons and unsmooth -- as it is traveling along the Hamiltonian operand, that is here to be transmitted along the traversal of its Lagrangian-based path over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Motion Of Superstrings Within Orbifold Eigenset

The net motion of all of those superstrings of discrete energy permittivity, that work to comprise one given arbitrary respective orbifold eigenset -- works to form the overall motion of that self-same orbifold eigenset, -- when this is taken in relationship to both the motion and the existence of electromagnetic energy, over time.  So -- when one is to consider the resultant of the Fourier Transformation of the sum of the Ward-Cauchy-based kinematic activity, that is of all of those superstrings of discrete energy permittivty, that work to comprise one said given arbitrary set of superstrings that operate in so as to perform one specific respective function, -- one is to then to be able to derive what the resultant motion of that so-eluded-to orbifold eigenset.  Depending upon the net motion of any one given arbitrary respective orbifold eigenset -- one is to then to be able to determine what the velocity of that self-same orbifold eigenset will be, -- relative to both the motion and the existence of electromagnetic energy. At the most internal level -- it is the relativistic motion of any one respective orbifold eigenset -- that is here to work to help at determining what the Lorentz-Four-Contraction will be upon the individually taken superstrings of discrete energy permittivity, that work to comprise the said respective orbifold eigenet.  So, that given arbitrary respective Lorentz-Four-Contraction that may be attributed to any one specific orbifold eigenset, as a Ward-Cauchy-based condition that is to be determined at the most relative internalized level -- is then to be applied to all of those superstrings of discrete energy permittivity, that work to comprise the said eigenset.  This will thence work to determine what the Polyakov Action eigenstate will be -- of those self-same strings.  This will, in turn, work to help at determining what the scalar amplitude will be -- of the conical-based nature of the first-order light-cone-gauge eigenstates that work to comprise the discrete energy quanta of the said composite superstrings of discrete energy permittivity of such a given respective case.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

A Little As To The Hyperbollic Nature Of A Conical Nature

Let us consider the Ward-Cauchy-based conditions of one given arbitrary first-order light-cone-gauge eigenstate, over the course of one respective given correlative iteration of BRST.  The lower that the Lorentz-Four-Contraction is of the directly corresponding discrete quantum of energy, and thus, the higher that the Polyakov Action eigenstate is of that self-same discrete quantum of energy -- the more hyperbollic that the mini-Lagrangian-based translation of space, that is of the scalar amplitude of the said correlative first-order light-cone-gauge eigenstate, is then to be.  Furthermore, the more hyperbollic that the mini-Lagrangian-based translation of space will be, of any first-order light-cone-gauge eigenstate, -- due to a hightened Ward-Cauchy-based condition of the correlative Polyakov Action eigenstate, the more hightened of a scalar amplitude that may be attributed to the relativistic internalized volume of the conical-based nature, that is of the thus described first-order light-cone-gauge eigenstate of such a case.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Oscillation In Velocity And Conical Nature

When a given arbitrary orbifold eigenset that is here to be traveling through a discrete Lagrangian, is to vary in its relative velocity -- from initially beginning to travel with one velocity, to then traveling through the said discrete Lagrangian with a velocity that is to work to bear a higher scalar amplitude, back to then traveling through the discrete Lagrangian with its initially inferred velocity, and so on  -- its directly corresponding Lorentz-Four-Contraction is to go from one tense of a scalar amplitude, to a higher tense of a scalar amplitude, while then going back to working to bear its initial scalar amplitude, and so on.  In the process of such an undertaking, -- the conical nature of the internalized core-field-density of the first-order light-cone-gauge of those discrete quanta of energy, that are here to work to comprise the said orbifold eigenset, is to go from one scalar amplitude of working to bear a conical nature, to then working bear a lower scalar amplitude of a conical nature, to then working to bear its initial tense of a directly corresponding scalar amplitude of a conical nature, and so on.  This is as the Lorentz-Four-Contractions of the individually taken superstrings of discrete energy permittivity that work to comprise the said orbifold eigenset, are to go from working to bear one scalar amplitude of relative Lorentz-Four-Contraction, to then having the Lorentz-Four-Contraction of the individually taken superstrings of discrete energy permittivity that work to comprise the said orbifold eigenset to go into then working to bear a higher scalar amplitude, to then working to bear such superstrings of discrete energy permittivity that are to work to bear their initially inferred scalar amplitude of Lorentz-Four-Contraction, and so on.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Orbifold Eigenset Oscillating In Velocity

Let us initially consider one given arbitrary orbifold eigenset -- that is to be traveling through a discrete Lagrangian, over a gauged-metric.  Next, let's consider that the orbifold eigenset of this case, is to oscillate in its relative velocity -- from one given arbitrary speed in the relative holomorphic direction, to a hightened speed in the relative holomorphic direction, while then going back to its initial speed in the relative holomorphic direction, and so on.  Let us say that this given arbitrary scenario, does not include the Ward-Cauchy-based condition of working to bear perturbative Lagrangian-based spikes.  This will then tend to mean, that those superstrings of discrete energy permittivity that work to comprise the said orbifold eigenset, -- will go from one tense of Lorentz-Four-Contraction, to then working to bear a greater scalar amplitude of a tense of Lorentz-Four-Contraction, while then going back to working to bear its initial tense of Lorentz-Four-Contraction, and so on.  This will then tend to mean, that those superstrings of discrete energy permittivity that work to comprise the said orbifold eigenset, -- will go from one tense of Polyakov Action eigenstate, to then working to bear a condition of having a diminished scalar amplitude of a tense of Polyakov Action eigenstate, while then going back to working to bear its initial tense of Polyakov Action eigenstate, and so on.  Furthermore, if the changes in the velocity of the said orbifold eigenset are not of a gradual nature, then, the metrical changes that are thence to be gauged, will be of the nature of working to bear perturbative metrical-based spikes -- of which will work to include the Ward-Cauchy-based conditions of the proximal local existence of metrical-based Chern-Simons singularities, -- that will then be Yukawa to the topological stratum of the said orbifold eigenset, over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Polyakov Action And Scalar Amplitude Of Conical Nature

Let us initially consider one orbifold eigenset, that is of a directly corresponding Calabi-Yau manifold -- as it is moving in a kinematic manner, over a set group-related metric, over time.  Let us next consider that the said orbifold eigenset of this case, is here to be moving as a unit, at one given arbitrary specific velocity -- when this so-eluded-to tense of a Fourier Transformation is taken in relation to both the motion and the existence of electromagnetic energy.  Given the initially stated so-eluded-to Ward-Cauchy-based conditions -- the given arbitrary respective orbifold eigenset is to then to bear one given tense of Lorentz-Four-Contraction, and therefore, the given arbitrary respective said eigenset is to thus, as well, to work to bear one given arbitrary respective tense of the Polyakov Action.  This will then work to mean that all of the superstrings of discrete energy permittivity, that are here to work to comprise the said orbifold eigenset -- are to bear the same directly corresponding Lorentz-Four-Contraction, and, as well, that all of the superstrings of discrete energy permittivity, that are here to work to comprise the said eigenset, are to also to work to bear the same directly corresponding Polyakov Action eigenstate, -- over the earlier mentioned group-related metric.  This would then mean that, at the most internally-based reference frame, over the said group-metric, that all of the here mentioned superstrings thus mentioned, in so long as the so-eluded-to gauged-metric is to be metrically Yukawa to both the said orbifold eigenset and also those said strings that work to comprise it, -- that these phenomenology will then work to bear the same scalar amplitude or tense of a conical-based nature -- when such a said scalar amplitude or tense of a conical-based Ward-Cauchy nature is here to be both codifferentiable, codeterminable, and covariant, to the topological stratum of the inferred core-field-density of those individually taken discrete energy quanta, that have here worked to comprise the holonomic substrate of the eigenindices that have here acted, in so as to work to comprise the inferred set of discrete energy that is here to operate in so as to perform one specific function over time. I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little As To Rham Versus Doubolt Cohomologies

The reason as to why there will always be the general condition, that any given arbitrary Rham-based cohomology -- that is here to be considered over a Fourier Transformation -- is in reality to eventually become of a Doubolt-based nature of cohomology, is because of the Ward-Cauchy-based condition, that any orbifold eigenset that is to be traveling via any respective Lagrangian, that is to be continuously kinematic in its Fourier-related translation, -- will eventually work to bear at least one set of Lagrangian-based perturbative spikes (not to mention working to eventually bear at least one set of metrical-based perturbative spikes as well) somewhere across the Hamiltonian-based path that any one orbifold eigenset is to be traversing through, over time.  Any orbifold eigenset is to work to both eventually and spontaneously to act in so as to become Gliosis to the Kahler-Metric, over time.  When such a general tense of a Gliosisi-based interaction is to occur -- there is to initially be the presence of art least one set of antiholomorphic Kahler conditions.  An antiholomorphic Kahler condition works to suggest the definite presence of a cohomology, that has at least worked to become of a Doubolt nature, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Conical lnternal Fields Of Light-Cone-Guage Eigenstates

Whenever any one given arbitrary first-ordered light-cone-gauge eigenstate, is here to be made Yukawa as a general genus of holonomic substrate, in-between any one respective given arbitrary Fadeev-Popov-Trace eigenstate and its correlative superstring of discrete energy permittivity, over the course of any one iteration of the Polyakov Action during BRST -- then, that tense of an immediate topological field, that is to here be made internal to the kinematic positioning of the said light-cone-gauge eigenstate -- is then here to be of a relatively conical nature in a hyperbolic-based manner, as the so-eluded-to discrete energy is to here be going through the so-inferred Lorentz-Four-Contraction, that is to be happening to the said quantum of energy.  The larger that the relative scalar amplitude of that Lorentz-Four-Contraction is, that is here to be happening to the said discrete energy quantum that is to here to be  occurring over the course of one specific instanton -- the less conical that the internal field will tend to be, of the topological interior of the kinematic stratum in which the so-eluded-to first-ordered light-cone-gauge eigenstate  will be of, in this said given arbitrary case.  Furthermore -- the smaller that the relative scalar amplitude of that Lorentz-Four-Contraction, that is here to be happening to the said discrete energy quantum that is here to be occurring over one discrete instanton -- the more conical that the internal field will tend to be, of the topological interior of the kinematic stratum in which the so-eluded-to first-ordered light-cone-gauge eigenstate will be of, in this given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Light-Cone-Gauge

Whenever photons -- of which are tiny little discrete particles of electromagnetic energy -- are to scatter upon any other discrete quanta of energy, these individually taken photons are usually to tend to act, in so as to strike the externalized core-field-density of the light-cone-gauge eigenstate of another discrete quantum of energy.  Also, it is the light-cone-gauge -- that works in so as to act as a gauging liaison, that is to exist in-between the holonomic substrate of any one given arbitrary Fadeev-Popov-Trace eigenstate And its directly corresponding superstring of discrete energy permittivity -- that acts in so as to help in gauging both the positioning and the activity of the Polyakov Action eigenstate,  that the directly correlative superstring of discrete energy permittivity is here to be undergoing, over the course of any one individually taken iteration of BRST (that is during any one individually taken iteration of instanton).
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Perturbative Homotopic Residue

A set of orbifold eigensets -- that work to form a tense of homotopic residue, that is here to go from expanding in a Clifford-based manner, to then being drawn inward via a cohomological compactification, to then working to bear a Clifford Expansion that is to be drawn outward, and vice-versa, for some proscribed iterative group-related metric, -- is here to be held as a metrical-gauge-based Hamiltonian operation, that is to bear an externalized core-field-density, that is here to be isometric in a symmetrical-based manner, as the directly corresponding cohomologies that are to be formed by the expansion-contraction-expansion-based kinematic-related activity, is to go from basically generating cohomology, to then to be basically degenerating cohomology, to then to be basically generating cohomology, and vice-versa, to where this is to go from initially bearing a radial homeomorphic Clifford Expansion that is to bear individually taken eigenindices of homotopic residue, that are of a Chern-Simons nature in a metrical-based manner, yet potentially hermitian in a Lagrangian-based manner.  This is happening, as the volume of the region that has been traversed through here, is to have increased in its scalar amplitude -- over time.  As the correlative homotopic residue is to compactify in a cohomological manner, the initial  Ward-Cauchy-based conditions of the convergent tense of homotopic residue, is to form both metrical and Lagrangian-based Chern-Simons singularities.  As the cohomological compactification  is to continue in a homeomorphic manner, the Lagrangian-based singularities thus formed, will tend to be hermitian, but not the correlative metrical-based singularities.  And as the homotopic residue of this case is to re-expand, -- there is to initially be both Lagrangian and metrical-based Chern-Simons singularities, in the motion of the eigenindices that had worked to form the initial tense of the said orbifold eigensets -- that is of this particular  case.  Once that the initial correlative tense of the Kahler-Metric has been Yukawa to the holonomic substrate of the said homotopic residue -- in a Gliosisi-based manner, then, the correlative Chern-Simons singularities thus formed, will tend to be of just a metrical-based manner UNTIL the correlative homotopic residue is to bear antiholomorphic Kahler conditions, that work to cause what is to be the ensuing cohomological compactification.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Terms Cohomologies Versus Ghost Anomalies

That description of the physical memories, as to the where, the when, and the how, that the multiplicit substringular eigenstates have differentiated over time -- as may be described by the term that I call ghost anomalies, -- works to imply the temporal nature of the existence of the so-eluded-to  individually taken cohomological entities.  This is since the presence of an anomaly -- works to imply the existence of something that may rarely be both significantly detected and apprehended as both real and observable, at any specific given arbitrary locus.  Whereas -- the eigenstate of a given arbitrary respective cohomology, may simply refer to the existence of the physical memories as to the where, the when, and the how, that the multiplicit substringular eigenstates have differentiated in the arena of space-time-fabric in general.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Different Genre Of Cohomologies

Any given arbitrary respective eigenstate of cohomology, that may be considered -- when this is taken over a respective Laplacian Transform -- will be of either a Rham-based nature, or, of a Doubolt-based nature.  Any Rham-based cohomology -- when this is taken over a Fourier Transform, over a long enough duration of time -- will eventually be altered into a Doubolt-based cohomology. 
I can think of 13 different types of genre of cohomology, these of which will each be of either a Rham-based nature or of of Doubolt-based nature -- when taken over a respective Laplace Transform.
These would be:
1)  Gliosis-Sherk-Olive cohomologies
2)  Fadeev-Popov-Trace-related cohomologies
3)  Neilson-Kollosh cohomologies
4)  Light-Cone-Gauge eigenstate-related cohomologies
5)  Cohomologies of Schwinger-Indices, via the Rarita Structure
6)  Cohomologies of Campbell-based norm-states
7)  Cohomologies of Hausendorf-based norm-states
8)  Cohomologies of Campbell-Hausendorf-based norm-states
9)  Cohomologies of Campbell-based norm-state-projections
10)  Cohomologies of Hausendorf-based norm-state- projections
11)  Cohomologies of Campbell-Hausendorf-based norm-state-projections
12)  The cohomological mappable-tracings of Klein Bottle eigenstates
&13)  Cohomological mappable-tracings of Higgs Boson eigenstates.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Cohomological Generation To Cohomological Degeneration

Let us initially consider an initial set of orbifold eigensets, that are to begin to implode upon each other, -- while then acting in so as to consequently expand away from each other, as an equal and opposite reaction, that is taken in the equal and opposite relative directoral-based tense, -- in so as to work to form a Cevita-based Clifford Expansion that is of the here ensuing topological stratum of diverging homotopic residue.  Let us next say that the externalized core-field-density of the so-inferred Clifford Expansion, is here to bear an initial isomorphic symmetry.  This would then work to mean that the initial expansion of the diverging homotopic-based eigenindices, is to  here be mainly in the process of generating cohomology.  Next, there is here to be a set of ghost-based inhibitors, that are to act upon the expanding so-stated homotopic eigenindices in a radially homeomorphic manner, in so as to work to form a set of both Lagrangian-based Chern-Simons singularities and metrical-based Chern-Simons singularities -- that are here to each involve a set of complex roots of Ward-based polarization, -- that are then to act upon the holonomic substrate of the initially expanding homotopic residue, in so as to each work to form a set of antiholomorphic Kahler-based conditions, in so to then to tend to work to form a relative collapse of the initial stated Clifford Expansion, to where this will then tend to work to form a consequent tense of cohomological degeneration -- that will then tend to act in such a manner, that is to then to pump the directly corresponding cohomological eigenindices inward towards one another (due to the said Ward-Polarization).  This will then work to help at causing the prior expansion of the said homotopic reside, to go back to compactifying toward its conicenter of field density -- in a manner that eludes to the tendency of a potential ensuing reiteration of a possible implosion, -- over an ensuing evenly gauged-metric of Hamiltonian operation.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel Roach.

Cohomological Pumping And Tachyonic Flow

The condition of cohomological pumping, eludes to that general genus of activity -- that happens during any given arbitrary case of tachyonic flow.  This is even though the general condition of tachyonic flow, is not the only case to where there is to be a tense of cohomological pumping.  At a general fractal of a tense -- cohomological pumping, eludes here to the general condition of Ultimon Flow.  Ultimon Flow works to help at explaining as to how both the conditions of tachyonic flow and the conditions of quantum leaps are able to be possible.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cohomological Pumping

Let us say, that one is to have a topological source, that is here to bear a tense of a Clifford Expansion -- to where this is to elude to a region, that is here to consist of an initial set of  orbifold eigensets, that are to be expanding outward at a relatively quick rate over time.  Let us say, that the externalized core-field-density of the so-eluded-to topological stratum, that is here to be expanding over time -- is to cycle, from initially working to bear an isomorphic symmetry, to subsequently working to bear an isomorphic asymmetry, to working to bear an isomorphic symmetry, and so on -- as the said Clifford Expansion is to be occurring.  This would then work to mean, that the so-eluded-to holonomic substrate, that was here to consist of the said initial set of orbifold eigensets -- is then to go from mainly generating cohomology, to next to go into mainly degenerating cohomology, to then to mainly generating cohomology, and so forth.  This would then work to infer a tense of a process, that is here to work, in so as to "pump" cohomology back-and-forth -- in the process of a general genus of an overall set of cyclical permutation, that is here to be potentially appertaining to a genus of the formation of the homotopic residue of Calabi-based permutations, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Next As To Implosion Resulting In Explosion

If an imploding orbifold eigenset, that is to work to result in an explosive expansion -- is to go from being drawn inward, into then being decompactified as an expansion that is here to happen in a relatively quick manner, as a Hamiltonian operation of a Clifford Expansion, as a divergent Fourier Transformation that is here to bear a divergent eigenbase of those initially interactive eigenindices, that are here to react to the Ward-Cauchy-based condition of an initial eminent collapse, by being spontaneously tugged outward by a cross-product-based thrust, -- is to bear an externalized expanding core-field-density, that is to work to tend to bear a relatively isometric symmetry, then, such an initially imploding orbifold eigenset, that is now to act in so as to diverge outward, -- will then tend to mainly generate cohomology.  Yet, if such a general genus of an explosion, that is here to result here from an implosion, is to, instead, to tend to work to bear a relatively isomorphic asymmetry, then, such a general genus of a Cevita interaction -- will then have the Ward-Cauchy-based condition of tending to mainly act, in so as to degenerate cohomology in this said ulterior case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Implosion That Results In Explosive Expansion

The general genus of an implosion that results in an explosive expansion, that is of an initially stable orbifold eigenset, will, at the onset of the said expansion, tend to work to form both metrical and Lagrangian-based singularities.  This is because, -- not only will any respective orbifold eigenset, that is to explode as a result of an implosion -- at the onset of the so-eluded-to Cevita-related Rayleigh-based scattering, alter in the multiplicit rate of the pulsation of those discrete quanta of energy that had initially worked to form the said given arbitrary orbifold eigenset, yet, the overall as well as the individual cites, that are of the said Cevita interaction of annharmonic divergence, will tend to be heuristic in its manner of changing in more derivatives -- than the number of spatial dimensions that those eigenindices that had initially worked to comprise the said eigenset, is to be traveling in.  This is when this is taken as a covariant, a codeterminable, and a codifferentiable set of metrical-gauge-related Hamiltonian operators, that have to have been tugged into a disarray of divergence -- due to the dual factors of the following Ward-Cauchy-based conditions:  An isometric Njenhuis set of ghost-based-inhibitors, that are to work to cause proximal local superstrings to work to bear both adjacent odd parity as well as adjacent reverse chirality;  The repulsion of like pseudo charges, that are to bear a wave-tug, that is to tend to bounce-out the presence of invasive abridgements -- that are to work to form a resultant cross-product wave-tug, from the center of interaction, upon the shell-like externalized core-field-density of the tightly-bound orbifold eigensets;  The tendency of entropy to act upon any tense of a Majorana-Weyl-Invariant-Mode, that has here to have been attributed a higher than optimum scalar amplitude of an eminent response, that is of the balance that is here to be between cohomological generation and cohomological degeneration; As well as the condition, that the field-density of the superstrings that are of discrete energy quanta, will often work to bear a fractal of a Van-Der-Waals field, -- to where this of which will tend to generally not to be able to be penetrated spontaneously.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Implosion/Explosion Due To Initial Compactification

Let's say that one were here to initially have an orbifold eigenset, that is here to evenly accelerate between two Laplacian-based axions -- along the Hamiltonian operand of an approximate two-dimensional planar-based Lagrangian-related curvature, -- to where there is here to be no Chern-Simons singularities, that are thence to be formed by neither the topological nor the metrical-based resulting Fourier Transformation, that is of the kinematic motion of the said orbifold eigenset, over the time in which such a so-eluded-to metrical-gauge-based Hamiltonian operation is here to be of such a hermitian nature, in the cohomological mapping of its projected trajectory.  At this point, there is now to be an instant at which there is to be a holonomic-based Laplacian condition, that is at the Njenhuis-to-forward-holomorphic positioning of the so-stated orbifold eigenset, -- in which there is to be a momentary tightening of the Majorana-Weyl-Invariant index, that is of the region by which the Hamiltonian operation of the said orbifold eigenset is to be moving through, to where the said orbifold eigenset is now to have a hightened scalar amplitude of conformal invariance -- in terms of the increase in the generative stability of the given arbitrary set of superstrings -- that are here to operate in so as to perform one given function, to where the Lagrangian-based cohomological mapping is here to be compactified, in spite of the metrical flow of the correlative homotopic eigenindices to here to not to be attenuated nor augmented.  Next, all of the sudden there is here to be a spontaneous acceleration, that is evenly covariant, between a symmetrical set of proximal Njenhuis coniaxions -- that are here to be normal or orphoganal to the earlier inferred Njenhuis axion -- to where there is to now to be a sequential even acceleration, that is here to fall-out or diverge the said orbifold eigenset from its initial hermitian condition of static equilibrium, in so as to then to become as a Hamiltonian operation that is now to be of a Chern-Simons nature, to where the said orbifold eigenset is to now to either mainly generate or to mainly degenerate cohomological topological stratum, that is of the proximal local holonomic substrate.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

The Last Part Of Session 7 Of Course 20

As light is to scatter upon a discrete piece of metal -- some of the resultant formed electromagnetic energy, is absorbed as heat or infrared energy.  When the given light is to scatter, the individually taken points at which the beam of photons that work to comprise the said light are to initially be scattered at -- may be termed of as being Calabi-Yau-based conipoints of gauge-transformation-related interaction.  The axial of the differential scattering that is correlative to this given arbitrary case, may be termed of here as a respective conipole.  This general type of a scattering of light, is one genus of what may be termed of as a Calabi-Yau scattering, -- since it is an example of the scattering of electromagnetic energy-related quanta of discrete energy, that is Gliosis upon mass-bearing discrete energy quanta.  I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Mini-Stringular Segmentation And Substringular Fields

Mini-stringular segmentation is built-up of second-order point particles -- that are "chained" or linked together, in a chord-like manner.  It is mini-stringular segmentation, that works to act as that holonomic substrate -- that functions as that general genus of topological stratum, by which substringular fields are thus to be formed.  For instance -- it is the multiplicit strands of phenomenology, that are at least partially comprised of by the said general genus of mini-stringular segmentation -- that work, in so as to allow for those field-based interactions among superstrings, to then to be able to happen.  Furthermore -- it is the multiplicit mini-stringular segmentation, that acts in so as to both directly and to indirectly interconnect the quantum world of discrete energy together, into the general condition of homotopy, -- over the course of each succeeding iteration of group-related instanton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Three Of Session 7 Of Course 20

Let us initially consider a beam of electromagnetic energy, that is traveling right in the direction of a path -- that leads to the topological stratum of a smoothly contoured piece of metal.  Metal is comprised of molecules that are made-up of atoms, and such atoms are comprised of electrons and protons and neutrons.  These protons and the neutrons just mentioned, are at the multiplict center or nucleus of the said atom.  The electrons orbit around the external elliptical perimeter of each of the said atoms.  At the reference frame that is just external to those molecules that work to comprise the said metal, the so-stated metal is relatively stationary -- to where the atoms that work to comprise the molecules of the said metal are in a relative condition of conformal invariance.  The directly corresponding atoms of the so-stated metal, are here to bear a tense of Majorana-Weyl-Invariance.  Back to before.  The earlier mentioned beam of electromagnetic energy is to strike the said metal.  Let's next say that the said electromagnetic energy is a beam of what may here be called white light.  As the beam of light here is to strike the metal, the light scatters to an extent -- in so as to work to form a certain amount of infrared energy or heat.  Heat is the most eminent form of electromagnetic energy that is formed,when electromagnetic energy is to strike a mass in a Gliosis-based manner.  So, when a Calabi-Calabi manifold is to come into contact with a Calabi-Yau manifold -- the consequent formation of heat energy is the eminent electromagnetic tense of radiation that is thus formed, as an array of infrared or heat energy.  The resultant heat energy that is formed, works to effect the physical state of that Calabi-Yau-related manifold, that is here to be interactive with light energy in a Gliosis-based manner over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Two Of Session 7 Of Course 20

The first type of such scattering that I will introduce you to in this part of the course, is that general genus of scattering -- that is to occur, when a beam of light or a beam of any other form of electromagnetic energy, is to strike another phenomenon, - that is, for all practical purposes, a shear form of matter or mass, that is here to be positioned in the immediate Lagrangian-based path of the said electromagnetic energy, as an eigenbase of a respective Hamiltonian operand, to where the so-eluded-to mass-bearing superstrings of discrete energy permittivity, are to be in the path of that electromagnetic energy that is here about to strike it -- when one is to consider that electromagnetic energy is to travel in the direction of least time.  This is to  happen, when that electromagnetic energy that is about to strike the so-eluded-to mass-bearing manifold -- is to bear a cohomological mappable-tracing, that is to have a directoral-based bearing that is directed in a geometric manner, -- towards the Ward-Cauchy-based locus of a set of one or more orbifold eigensets of mass, -- to where the so-eluded-to propagation of a beam that is to here to act as a Calabi-Calabi-related manifold, is to be directed upon the topological stratum of a Calabi-Yau-related manifold.  Electromagnetic energy is propagated from a given source.  An electromagnetic beam of energy is to be propagated through a vacuum, at a tending velocity of 3.0*10^8 meters per second.  As a beam of electromagnetic energy is to strike another orbifold eigenset, that is comprised of by the holonomic substrate of mass-bearing superstrings of discrete energy permittivity, -- the photons are to collide here in an individually taken manner, upon the externalized core-field-density of the light-cone-gauge-related eigenstate that is most is its path, as an eigenstate that is to be propagated in the direction of least time, -- to where the resultant collision of each resulting scattered photon upon the said externalized field-density of each directly corresponding discrete quantum of energy, is to consequently act in so as to work to cause a back-and-forth motion of each core electron that is to have just been struck in an eminently Yukawa-based manner, to where this motion is to then to tend to result in the release of the excess energy of each electron that had just been struck, in the form of each individually taken photon.   This is the general tendency, when light is to strike mass-bearing manifolds -- since electrons orbit the outer part of an atom, and mass tends to exist in atoms.  It is the E(8)XE(8) strings that act, in so as to hold together the multidimensional structure of a sub-atomic particle -- like a metaphorical "microtubule," that works to help to allow for the resultant Gliosis-based collision, that is of the tendency of a photon that is to strike an orbifold eigenset of an electron -- to domino-out such an inward thrust, in so as to then to push the multiplicit electron into the means of such a so-eluded-to Fujikawa Coupling.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part One Of Session Seven Of Course 20

Light, or any other form of electromagnetic energy, can scatter upon either phenomenology of mass, phenomenology of plain kinetic energy, or upon phenomenology of other electromagnetic energy -- over time.  When electromagnetic energy is to scatter upon another phenomenology, it is to strike the externalized core-field-density of the light-cone-gauge eigenstate of the discrete energy quantum -- that it is to come into contact with in the so-inferred Gliosis-based manner.  Furthermore, any electromagnetic or electro-dynamic energy will tend to scatter upon any discrete quantum of mass, kinetic energy, and/or electromagnetic energy, in an initially Rayleigh-based manner -- when it is to strike the just inferred multiplicit externalized field of such a light-cone-gauge eigenstate, over any metric that may be gauged of as an even Hamiltonian operation, around the instance of contact, in which the so-eluded-to set of one or more photons are to make a direct Yukawa-based coupling upon the said phenomenology that may here be either as a quantum of a mass, a quantum of kinetic energy, and/or a quantum of electromagnetic energy, over time.  This is particularly the case, when the phenomenology that is to be struck is in the Lagrangian-based path -- as to the mappable-tracing of the electromagnetic energy that is in its venue of moving in the direction of least time, as a Hamiltonian operand -- in which the photon or the photons that are to be scattered, are here to be "toggled" as is as according to Snell's Law.  Mass-Bearing superstrings of discrete energy permittivity, that are in a state of superconformal invariance -- tend to be Yau-Exact.  This is why I term those substringular manifolds, that are to be comprised of here as  mass-bearing strings -- as Calabi-Yau manifolds.  Electromagnetic superstrings of discrete energy permittivity, that are in a state of superconformal invariance -- tend to be partially Yau-Exact.  This is why I term those substringular manifolds, that are to be comprised of here as electromagnetic strings -- as Calabi-Calabi manifolds.  Furthermore, -- kinetic energy-bearing superstrings of discrete energy permittivity, that are in a state of superconformal invariance,  tend to veer into a condition of bearing Chern-Simons singularities.  This is why I call those substringular manifolds, that are to be comprised of plain kinetic energy -- as Calabi-Wilson-Gordan manifolds. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.