Gauge-Transformations And The Light-Cone-Gauge

Whenever there is a gauge-transformation, -- there are to be the presence of one or more photons, that are striking another phenomenology in a Gliosis-based manner, over time.  Whenever this happens, there is to as well be the presence of the externalized core-field-density of the said one or more photons -- of which act here as one or more discrete quanta of energy -- that act in so as to strike another phenomenology that are of an ulterior externalized core-field-density of one more other different eigenstates of discrete quanta of energy, -- in so as to act in such a manner, to where there is to here be a scattering of electromagnetic energy, over a sequential series of group-related instantons.  Such a so-stated general tense of scattering, will tend to work in so as to help at causing a shimmering of the dually struck light-cone-gauge eigenstates, -- when such a general Gliosis-based contact is to happen, in so as to work to help at forming a tense of a Chern-Simons metrical-based spurring of the correlative discrete energy impedance-based eigenstates, that are here to be made eminently Yukawa to each other here in this case.  Such a shimmering, will here work to form a general tense of a Rayleigh scattering, of what are here to be the consequent formation of annharmonic Schwinger-Indices, over the correlative sequential series of group-related instantons.  Such a general tense of a Fourier-Transformation, will then tend to form part of the general basis, as to the relationship between the multiplicit transference of proximal local heat energy, with the multiplicit translation of the proximal local gravitational force -- as the so-eluded-to effect that the correlative gauge-transformations have upon Schwinger-Indices, is to here, as well, act as a correlative effect upon the translation of gravity waves, over time.
Please feel free to leave comments!  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

Simultaneous Dual Gauge-Transformations

Let us initially consider a set of orbifold eigensets -- that work to comprise the holonomic substrate of one given arbitrary molecule.  Let us next consider the molecular condition, that any set of one or more atoms -- namely in this case, here, a molecule, -- is going to bear at least a certain scalar amplitude/scalar magnitude, of a tense of both an internalized and an externalized vibrational-oscillatory-based mode, as such a molecule is to here be undergoing its so-eluded-to tense of a Majorana-Weyl-Invariant-Mode, at its proximal local reference frame, over an allotted respective period of time.  As any given arbitrary molecule vibrates -- such an oscillation-based mode, will tend to work to form a certain Calabi-Yau scattering of the electrostatic eigenindices of that molecule, in so as to help to allow some of its correlative component electrons, to undergo the Fujikawa Coupling -- in so as to help at working to form proximal localized heat energy.  Often, especially with luminescent molecules, -- the proximal local presence of infrared or heat-based photons, will help to encourage that general genus of the Fujikawa Coupling, that is to here work in the formation of white or visible light.  So here, as that general genus of a gauge-transformation is to happen, in so as to work to form infrared or heat-based photons, there is to then, as well, be the occurrence of the spontaneous activity of the general genus of a gauge-transformation to happen, that will work to form photons of visible light.  In this manner, that general genus of activity, that works to form the multiplicit gauge-transformation that is related to the formation of heat energy, is to here, with luminescent-based molecules, to work to form the multiplicit gauge-transformation that is related here to the formation of visible light energy.  Often, a heat differential, that is to be applied to the here respective given arbitrary luminescent set of molecules, is what will work to set-off the so-eluded-to gauge-transformation-based response.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Gaussian Transformations Versus Gauge-Transformations

With a Gaussian Transformation that is here to not be a gauge-tranformation, as the directly corresponding discrete energy quanta that are to here be most Yukawa to the correlative Kahler-Metric manifold -- as the correlative directly corresponding holonomic substrate of the pertinent Klein Bottle eigenstate, that is to be made Gliosis to the just mentioned discrete energy quanta, is to shake in a significant manner, this shaking is to only happen in the general direction of the holomorphic directorial-based Lagrangian-based Hamiltonian operand, that is in the path of holomorphic wave-tug of the correlative set of discrete energy quanta, where the correlative set of superstrings of discrete energy permittivity are to ensue, right after the then metric-wise iteration of BRST is to then be happening.  Yet -- with a Gaussian Transformation that IS here to be a gauge-transformation, as the directly corresponding discrete energy quanta that are to here be most Yukawa to the correlative Kahler-Metric manifold -- as the correlative directly corresponding holonomic substrate of the pertinent Klein Bottle eigenstate, that is to be made Gliosis to the just mentioned discrete energy quanta, is to shake in a significant manner, this shaking is to happen in both the general direction of the holomorphic directorial-based Lagrangian-based Hamiltonian operand, as well as in the Njenhuis-to-holomorphic directorial-based Lagrangian-based Hamiltonian operand, that is in the path of the holomorphic wave-tug of the correlative set of discrete energy quanta, where the correlative set of superstrings of discrete energy permittivity are to ensue, right after the then metric-wise iteration of BRST is to then be happening.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Gaussian Transformations Versus Gauge-Transformations

When there is to be a Gaussian Transformation anywhere in the substringular realm-- to where this of which, what I mean of here in this case -- is when a given arbitrary set of one or more superstrings of discrete energy permittivity is most Yukawa to the Kahler-Metric, -- then, the said respective given arbitrary set of superstrings that are to here be undergoing such a Gaussian Transformation -- are to here both be working to re-attain their needed fractals of discrete energy quanta in order to both exist and persist as discrete energy quanta, as well as to here be working in so as to move in the qualitative direction of having the Ward-Caucy-based conditions of a more ordered proximal localized spatial tense, over the directly correlative and applicable sequential series of group-related instantons, through which such a so-stated set of one or more superstrings are to be undergoing such a said Transformation.  Furthermore -- a gauge-tranformation, as I describe it, is general genus of a given arbitrary Gaussian Transformation -- that is to here be directly involving those eigenindices of discrete energy quanta, that are to be most Yukawa to the process of the scattering of electromagnetic energy, over time.
Later in this course as to the nature of Calabi-based interactions, I will explain further -- the differences as to how the respective proximal local eigenindices of the correlative group-metrics of certain Fourier-based Transformations -- that are to here be most directly related to the Kahler-Metric -- are to behave differently in the case of a gauge-transformation, versus how such so-eluded-to eigenindices are to behave in more of a case of a more preverbial translation of other of such Gaussian Transformations that are to happen in the substringular elsewhere, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Next Thought As To Gauge-Transformations

Let us initially consider a set of orbifold eigensets, that are to here be mildly vibrating at a relatively tightly-knit tense of a Majorana-Weyl-Invariant-Mode -- over a relatively transient sequential series of group-related instantons.  Let us next say, that such a set of orbifold eigensets -- is to here be one unitary molecule.  The annharmonic vibrational oscillations that are to here be performed by such a said molecule -- will then tend to help to work to form that Calabi-Yau interaction-based genus of electromagnetic energy formation, which is to here be the formation of heat energy.  Let us next suppose, that the so-stated molecule, that acts as a set of orbifold eigensets, that are to here bear an internally derived reference frame, that is superconformally invariant, is to all of the sudden be struck by the Gliosisi-based presence of white light -- that is to then be eminently Yukawa to the said molecule, at the Poincare level to the topology of the said molecule.  As the just mentioned molecule is to here be struck by the perverbial propagation of light, that is to here to bear a Gliosis tense of interaction upon the said molecule, as a dot-product-like operation from the vantage-point of the said molecule, -- the light is to then scatter, in so as to form a set of gauge-transformation-related eigenindices, that are to here to be of a metric-bearing genus.  Such a Rayleigh-based scattering of light, will inevitably tend to cause the so-stated molecule to work to form additional infrared photons, which may be thought of as the translation of heat energy over time.  Whenever light is scattered by anything, the substringular Ward-Caucy-based eigenstates that are most Yukawa to the proximal locus of the so-eluded-to interactions, will bear a discrete quanta of substringular phenomenology, that will be Gliosis to the Kahler-Metric.  The higher that the tense of electromagnetic scattering is, of a proximal locus to which such a genus of a Rayleigh scattering is to happen at a larger scalar amplitude of entropic perturbation, over a set comparitive sequential series of group-related instantons, the higher that the scalar amplitude will be, -- as to the degree of measure, as to the magnitude of the Gliosis-based interaction of the Kahler-Metric -- that is then to be waged upon such a set locus of internal-based reference frame of the so-eluded-to given arbitrary respective substringular eigenstates.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Last Part Of Session 4 Of Course 20

Heat may be conveyed via convection, by annharmonic motion, which transfers heat energy through a produced differential in heat energy -- as may be measured by a temperature difference.  This may be observed by examples, such as both the strike of a match, the motion of different regions of water that work to individually bear different temperatures that touch each other, and thus, transfer a differential of heat energy, the temperature differentials of different gases that touch each other, the annharmonic motion of chemical energy that may also work to transfer heat energy, as well as other general genre of heat transfer.  The latter mentioned specific respective case, as to the transfer of heat energy, happens in part, -- because the annharmonics that exist between certain interactive chemicals, works to produce fire, which is chemical heat -- and fire is in part comprised of electromagnetic energy that exists here in particular in the form of heat or infrared energy, in such a manner by which the chemicals that are burning as fire in such a general case, are to exist here in the form of the various respective given arbitrary forms of the plasma of such a scenario.  Since heat is electromagnetic energy, that is here to be next to most commonly thought of as electromagnetic energy after white light, heat is to then exist almost everywhere where there is the presence of matter in our universe.  All electromagnetic energy works to scatter at some time, as I will continue to make even clearer soon in this course.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Basics As To Chern-Simons Singularities

Le us consider an orbifold eigenset, that works to form a cohomology -- that is to bear either a metrical-based Chern-Simons singularity and/or a Lagrangian-based Chern-Simons singularity, over the course of a sequential series of instantons.  Let us next say, that the locus at which the formation of the so-eluded-to Chern-Simons singularity or singularities is to happen at, are to all happen at one specific spot of  Sterling Approximation.  If the locus of singularity-based perturbation, is of a pulsation-based spike, then, there will tend to be the condition of a metrical-based Chern-Simons singularity formed at the said locus;  And/Or, if the locus of singularity-based perturbation is of a curvature-based spike, then, there will tend to be the condition of a Lagrangian-based Chern-Simons singularity formed at the said locus.

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

Cyclical Heat Transference

Let us initially consider a set of orbifold eigensets, that are working together, in so as to form a molecule.  Such a so-stated molecule is to here be vibrating from within an initial reference frame -- in a tense of Majorana-Weyl-Invariance.  The annharmonic mode of the vibrational oscillation of the said molecule, is here to scatter the photons that are to here to be formed by the so-eluded-to shaking of the holonomic substrate of the said molecule, -- in so as to help at forming infrared photons, in the form of heat.  Let us next say, that there are here to be many adjacent molecules as such, -- that are to work to form a relatively high scalar amplitude of heat-based photons.  The heat that is here to be formed by the overall condition of these just mentioned molecules, will then tend to work to influence the extent of the overall vibrational oscillation of the individually taken tightly-knit Fourier Transform, of each correlative individually taken molecule that I have just eluded-to, -- in so as to help at working to increase that tendency of those oscillations of these molecules, that are to thence form additional heat energy -- in the form of a cycle of a relative perpetuation of the formation and the reformation of proximal localized infrared photons.  Such a relative perpetuation of annharmonic vibrational oscillations, will then work to form an interdependent tendency, as to what is here to be a cyclical flow of heat energy, -- since those so-stated molecules that act as interdependent nodes of Hodge-based indical stratum, are to then be fairly mutually brought into the occurrence of that general genus of vibrational oscillation, that is in that form of a cyclical differential transference of the so-eluded-to genus of electromagnetic energy, that is here to be scattered and re-scattered by those processes of the Rayleigh-based re-delineations of the topological eigenindices of the re-distributed topological stratum of the holonomic substrate of those orbifold eigensets that work to help form the here stated molecules, that are proximal local to the Poincare level of the so-eluded-to Ward-Caucy-based region of this case.  Such a general tense of a Rayleigh scattering, in the form of the perpetuation of heat energy, in the form of infrared photons, -- works to act as a classical example of a general set of Calabi-Yau interactions.  When these correlative substringular manifolds are to be most Yukawa to the Kahler-Metric, then, both the so-eluded-to mass-bearing superstrings and the correlative photons that act in so as to scatter upon them, work to perform a general genus of a Gaussian Transformation, which is known of as a gauge-transformation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cycle Of Njenhuis Cohomologies

Let us initially consider an orbifold eigenset, that is to here be performing what is to here be the formation of a purely hermitian cohomology, that is to later twist into then performing what is to here be the formation of an ensuing relatively Njenhuis cohomology -- to where such a so-eluded-to correlative Fourier Transformation, that is related to such an activity, is to here to work to form both a set of Lagrangian-based Chern-Simons singularities, -- as well as a set of metrical-based Chern-Simons singularities, over that respective given arbitrary group-related metric, in which such a so-eluded-to perturbation that is in the mode of the transference of the correlative permutative Hamiltonian operand, is to happen here.  Let us next say, that this general genus of activity is to happen, over a set cyclical sequential series of group-related metrics -- in such a manner, to where the Lagrangian-based mappable-tracing, is to be eventually brought back to the initially so-eluded-to Real Reimmanian-based proximal local region -- in which the correlative orbifold eigenset that had initially been behaving in a purely hermitian-based manner, in so as to work to perform the formation of a purely hermitian cohomology, -- happens in such a manner, -- to where such an overall cycle is to repeat in a similar manner, as a mildly permutative iterative cycle, that is to repeat over a relatively transient number of times, until an initially external ghost-based inhibitor, is to then to work to help in causing a perturbation in the pattern of the Yukawa-based antiholomorphic Kahler conditions -- that are to here to be pertinent to the alteration of the initial tendency of such a cyclical case.
 I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cohomologies And Njenhuis Perturbation

When one is to initially have a purely hermitian cohomology, that is to all of the sudden be shifted from the initially so-eluded-to Real Reimmanian Plane, into an ensuing cohomological-based Njenhuis plane, -- this general genus of a so-eluded-to cohomology-based perturbation, will then tend to bear at least one Chern-Simons singularity.  Thence, such a general genus of a cohomology-based perturbation, will tend to mean a correlative switch, from a Rham-based cohomology -- into an ensuing Doubolt-based cohomology. I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

Cohomologies And Singularities

A cohomology that is purely hermitian, is of a Rham-based nature, -- while, a cohomology that works to bear Chern-Simons singularities, is of a Doubolt-based nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Heat And Calabi-Yau Interactions

Any molecule -- over time -- is going to tend to spontaneously vibrate, over a sequential series of group-related instantons.  When any respective given arbitrary molecule vibrates, such a general tense of a vibration, is going to tend to work to help to cause at least some of those electrons -- that work to comprise the atoms that have come together in so as to work to form the said molecule -- to jump back-and-forth energy levels, in so as to release photons, specifically speaking here, in so as to release infrared photons, over the so-stated sequential series of group-related instantons, in which such a molecule is to exist, over the course of a correlative Fourier-based transformation, in which the said molecule is to here be vibrating in some sort of Noether-Based Flow.  Such a respective molecule, may either be undergoing a highly knit tense of a Majorana-Weyl-Invariant-Mode, and/or in a loosely knit tense of a Majorana-Weyl-Invariant-Mode, and/or in any scalar amplitude of such a mode that may exist here in-between the two just mentioned relative extremes.  As the so-stated molecule is to vibrate at its internally based reference frame, it is to work to cause in this case -- the said back-and-forth dropping of some of those electrons that work to help in the physical composition of the said molecule.  As the so-eluded-to photons are to here be released by the Ward-Caucy-based bounds of the said molecule -- the very Fourier-based activity of the oscillation of the said molecule, will then tend to work to re-scatter the relatively just formed photons of light, -- in so as to work to help in the formation of the correlative heat or infrared-based photons.  Such a scattering of light that works to help at forming infrared photons, is a classic example of a Calabi-Yau interaction.  Mass-Bearing superstrings of discrete energy permittivity, tend to be Yau-Exact, and therefore, such strings, when interacting with photons, work to form Calabi-Yau interactions.  This is part of as to why mass-bearing superstrings of discrete energy permittivity, tend to exist as eigenstates of what may be called of here as Calabi-Yau manifolds.  I distinguish such Calabi-based states, from other of such multidimensional Ward-Caucy-based fields -- because only mass-bearing superstrings of discrete energy permittivity, that are to move in as many spatial dimensions as the number of spatial derivatives that these are changing in, tend to bear homotopic torsional eigenindices -- that simultaneously bend in a hermitian-based manner, in all of these said spatial dimensions, that such correlative so-eluded-to superstrings are moving through, over time.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Kahler-Based Roots

Let us consider an orbifold eigenset, -- that is to initially be in an anharmonic perturbative Ward-Caucy-based condition of kinematic reverberation -- as it is going through a correlative entropic Fourier-related transformation.  Let us next say, that a group-attractor is to then to be introduced into the proximal local region, in which the said orbifold eigenset is to be of the general condition of being in an initially anharmonic  scattered condition.  Next, let's say that the correlative group-attractor that had just become Yukawa to the Ward-Caucy region, in which the so-stated orbifold eigenset was to here be differentiating in a chaotic manner -- is to help at working to cause a general genus of wave-tug, that is to then to work to cause a harmonic scattering of the eigenindices of the eigenstates of the said orbifold eigenset -- to where there is to then be the Wess-Zumino condition of a Reimman scattering of the core-field-density of the Gliosis-based topological sway of such eigenstates, that are here to be at the Poincare level.  Let's then say, that over an ensuing relatively transient sequential series of instantons, that the so-stated orbifold eigenset is to then to be tugged-out of its so-eluded-to relatively tightly-knit tense of a Majorana-Weyl-Invariant-Mode, -- to where it is to then be propagated with an even acceleration, across a smoothly harmonic oscillatory-based path.  Let's next consider, that the said orbifold eigenset is of a mass-bearing integration of Yau-Exact eigenstates, that are to here to work together, in so as to form a discrete Hodge-Index of Reimman-based gravitational eigenindices, that are here to be propagated in a hermitian manner, over the ensuing duration of a sequential series of group-related instantons.  Such an orbifold eigenset will tend to not bear -- neither any metrical-based Chern-Simons singularities, nor any Lagrangian-based Chern-Simons singularities.  In so long as there is no eminent collision here, that would otherwise act in so as to work to help at forming the Cevita condition of what would here be a resultant Rayleigh scattering  of such a Yau-Exact tense of a mass-bearing radiation, the harmonic flow of the composite eigenindices -- that had worked to comprise the said orbifold eigenset, will not spontaneously tend to bear any complex Kahler-based roots.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cohomologies And Kahler-Based Roots

When a cohomology is of a Rham-based nature -- it tends to work to produce Real Reimmanian Kahler-based roots, -- yet, when a cohomology is of a Doubolt-based nature, -- it tends to work to produce complex Kahler-based roots.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Njenhuis Perturbation In Curved Cohomology

Let us again, consider an approximate "U-shaped" cohomology -- that is formed, by an orbifold eigenset -- that is to initially evenly accelerate between two Laplacian-based parallel axions.  This said cohomology, is to approximately be of a Minkowski-based planar curve.  This so-stated cohomology, is to initially bear no Chern-Simons singularities. At the initial instanton at which the said orbifold eigenset is to be at the here relative norm-to-forward-holomorphic position, -- to where the said even acceleration of the said orbifold is to take its velocity to momentarily be zero, the respective orbifold eigenset is to then, all of the sudden, accelerate between two relatively Njenhuis axions -- that are thence normal to the initially stated axions.  This said eigenset, will then work to form a "U-shaped" cohomological pattern, that is both Njenhuis and orphoganal to the initially stated "U-shaped" cohomology.  When this happens, such an activity will then work to form the conditions of both metrical and Lagrangian-based Chern-Simons singularities.  Due to the sudden change in the respective accceleration, since the here given arbitrary even flow of acceleration is to here be re-directed, -- there will here tend to be a metrical-based Chern-Simons set of singularities. Since the so-eluded-to change in the Reimmanian Ward-Caucy-based conditions of the orphoganation of the respective correlative slope, in which the respective "U-shaped" cohomology -- is to bear its correlative Fourier Transformation, -- this will then tend to work to cause the said mappable-tracing of the so-stated orbifold eigenset, to bear at least one set of singularities, at the so-eluded-to respective correlative critical cusp.  Since the said critical cusp is to here, act in so as to work to bear a relative jointal-based critical cusp -- at the moment of going from initially iterating in one general genus of a Reimmanian plane, into then iterating at a relatively orphoganal tense of a Reimmanian plane, this general respective activity, will then tend to work to form a set of one or more Lagrangian-based Chern-Simons singularities.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Smoothly Curved Hermitian Cohomologies

Let us initially consider an orbifold eigenset, that is evenly accelerating in a back-and-forth manner, via the effects of a proximal localized gravitational field -- that is to here be initially relatively high in its scalar amplitude of Yukawa-based influence.  Let us say, in this respective given arbitrary case, that the so-eluded-to gravitational-based influence -- is to work to go from working to tug the said orbifold eigenset from one assympototic topological sway that is to here be initially directed towards one Laplacian-based relatively vertical axion, while at some point in duration, to then go in so as to drop relatively down and around, to where the said eigenstate is to later work to bear a wave-tug that is to then to act in so as to help to cause the so-stated orbifold eigenset to then be directed in an assymptotic manner -- towards what is to here be another Laplacian-based relatively vertical axion, to where this second just mentioned axion is to be relatively parallel to the first mentioned axion.  As well, after roughly both the same scalar amplitude and the same scalar magnitude of assymptotic aproach, the said orbifold eigenset is to again, gradually slow down in so as to then drop through and down the directly so-eluded-to isomorphic cohomological mappable-tracing -- in so as to then work to reach the prior said assymptotic curvature, that was stated earlier.  Let us say that such a gravitational-curved flow, is to be repeated -- a significant number of times.  Let us say that this so-eluded-to flow, is not to be stopped without a significant external means.  This would then be an example of an orbifold eigenset Fourier-based transform, that will basically not change spontaneously.  This is an example of something that will often tend to be called a "semi-infinite-well."  Such a general genus of a "semi-infinite-well," will here, tend to bear an even acceleration -- in its metrical-based cohomological mode of iteration.  Such a mode of iteration, will tend to only change in as many derivatives as the number of spatial dimensions that it is moving through, over time. This will work to make the so-eluded-to cohomology, of a hermitian-based nature.  Such a Rham-based cohomology -- will tend to not act as having any proximal local Ward-Caucy-related Chern-Simons singularities, as it is behaving as I have just described.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The third Part Of The 4th Session Of Course 20

In general, heat may be transferred in three basic genre of manners:  Heat may be transferred by either radiation, and/or by convection, and/or by conduction.  So, in one general case, heat may be introduced into a given arbitrary area or region, simply by the implementation of an opening -- by which there may then be more of a viable scalar amplitude of a heat differential to thence be produced -- to where one may take a slant, as to this potentially being a case of either a condition of radiation, and/or of a condition of convection, and/or of a condition of conduction.  Heat may also be introduced into a given arbitrary area or region, via the resultant effects of the shining of any directly corresponding black body source (a black body, in physics, is an entity that absorbs and/or radiates a lot of heat), that is to thereby to then behave in so as to radiate infrared energy into the so-stated generally speaking given arbitrary area or region.  Heat may be transferred into a region, as well, by a chemical means of either a plasma and/or of a molecular-based differential -- to where this may then be considered as a general case of the transference of heat by the means of convection.  And heat may be transferred into a given arbitrary area or region, by a valence charge differential, -- to where this may then to be considered as the general example of the case, as to heat being transferred via the general means of conduction.  All temperature changes are related, in some manner or another, to a transfer of some sort of heat differential-based perturbation of the infrared energy that is proximal to a certain general locus of an area or region.  Heat is an actual general phenomenology.  "Cold" is NOT an actual phenomenology. (Back to basics).  What "cold" is, is a relatively low scalar amplitude of heat.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Certain Aside As To Assymptotes

Let us consider an orbifold eigenset, that is moving into the general reverse-holomorphic direction -- in an assymptotic directorial-based manner, towards a plotting that may be mapped-out as being of a general relative y-based axion, -- to where this happens in such a manner, that may be described of as a cohomological index, that behaves as if it is moving as an eigenstate that is as well moving in a tangential manner, via a respective correlative Fourier-Transformation, that is initially being translated via an even manner of acceleration, over time.  Let us initially consider that one is dealing with a "real-to-'life'" relatively planar motion (as a figure of "speech"), that is basically moving in a strictly two-dimensional manner, as the said orbifold eigenset is to approach the so-stated relative y-based axion, in an assymptotic manner, over a sequential series of instantons.  Let us next consider, that at some point in time -- as the said orbifold eigenset is to then be relatively very close in proximal locus to the said mapped-out relative y-based axion, -- that the so-stated orbifold eigenset, that is to here be kinematic in displacement, via the so-eluded-to Fourier-Transformation, is to be tugged-across the Laplacian-based mapped-out y-based axion.  Since this general genus of a perturbation out of the initial assymptotic mode of motion, will be an alteration out of the general genus of the so-eluded-to approach -- that had initially been tending to get nearer and nearer to the plotted-out relative respective y-based axion -- in such a manner of which is to here be moving as is according to the so-stated initial even acceleration, over the initial so-eluded-to sequential series of instantons,  such a perturbation out of an assymptotic flow of the respective eigenindices of the said orbifold eigenset, will blatently work to cause a change in the initial rate of the acceleration of the said orbifold eigenset, -- to where such a genus of a kinematic-based perturbation will then work to cause a definite metrical-based Chern-Simons singularity.  Yet, since we are here to be initially discussing the actual versus the theoretical -- the actual approach of the so-stated orbifold eigenset that is towards the said Laplacian-based y-based axion, -- will work to bear, in reality, an external angular momentum -- that is to work to bear more of an abelian geometry of approach than a non-abelian geometry of approach, -- since the earlier said assymptotic motion of the said orbifold eigenset towards the so-stated Laplacian-based y-based axion, is to here, only be the physical result of what is simply an approximation of an assymptotic method of behavior.  (Nothing that is actually physical, is likely to just get more and more infinitely closer to any mapped-out axion, without ever to be able to spontaneously cross such a given arbitrary axion, no matter how long such an activity is to happen.  So, in reality, if such an approach is to be prolonged, such an orbifold eigenset will always tend to eventually alter from the theoretical assymptotic behavior, that has here been eluded-to.)  Based upon this just mentioned physical condition -- such a genus of a crossing of a Laplacian-based axion, will, in the "real world," not necessarily work to involve a Lagrangian-based Chern-Simons singularity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Second Part Of Session 4 Of Course 20 -- Calabi Manifolds And Calabi Interactions

There is electrodynamic energy all over the place, throughout the space-time-continuum.  Light of one form or another, tends to be associated, in general, with all mass and kinetic energy -- since even dark matter tends to have a certain amount of heat energy associated with it, -- and heat is a form of electromagnetic energy, that is known of as infrared electromagnetic energy, or infrared light.  There is, as well, electrodynamic energy, that tends to be often associated all mass-bearing orbifolds over time -- in the form of the motion of electrons and other dynamic sub-atomic particles, -- since such sub-atomic particles often have a charge-based characteristic, and the motion of charges works to form the tendency of a multiplicit generally electrodynamic tense of energy.  Almost anything that you tend to see in our visible universe, is most directly associated with the interactions of light with the activity and the existence of electrons, as such electrons, when these are within the Ward-Caucy bounds of atom, work to orbit the external physical bounds of the multiplicit array of atoms.  Whenever light-like phenomenology works, in so as to directly interact with electrons in a Gliosis-based manner, this general genus of interaction -- works to form a general Rayleigh-based scattering, this of which acts, in so as to work to form what may be called a Calabi-Yau interaction.  This is the generally most common form of a Calabi-Yau interaction.  Yet, when any form of a scattering of electromagnetic energy with any form of mass, happens in a Gliosi-based manner, this is actually one form or another of a Calabi-Yau interaction.  Calabi-Yau interactions are the process of that reaction, by which electromagnetic energy is to scatter upon a direct contact with any mass-bearing eigenstates.  Such a Gliosis-based contact, works to form a Rayleigh-based scattering of the said light-like energy -- to where the said energy is to be annharmonic in its displacement right before its re-quantization, -- to where such a re-delineation-based process it to then work to produce both heat and/or other resultant electrodynamic energy -- which is to thereby work to allow for both a freeing-up of the motion of such so-eluded-to mass-bearing orbifolds, as well as then providing for other needed re-organization-based characteristics, upon both the said increments of both mass and light-like energy, that are then needed in so as to work to allow for the flow of the motion of both the correlative mass and the correlative electromagnetic energy.  This general flow of the needed kinematic activity, works to help to keep the relaying of motion active -- for the multiplicit Rarita Structure, -- by the then resultant perpetuation of those vibrational oscillations, that exist along the said multiplicit Rarita Structure eigenstates, -- in the form of the resultant continuation of the flow of those Schwinger-Indices, that act as gravity waves, over the multiplicit sequential series of group-related instantons.  In the process, such a general tense of activity -- works to form entropy.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The First Part Of Session 4 Of Course 20 -- Calabi Manifolds And Calabi Interactions

Light travels in many multiplicit locations.  Light is the most commonly thought of form of electromagnetic energy.  Electromagnetic energy is energy that oscillates via both an electric field and via a magnetic field -- to where the said magnetic field is wrapped-around the said electric field, as is according to the right-hand-rule.  In the process, electromagnetic energy, in general, travels through countless genre of Hamiltonian operands, as such so-eluded-to general beams of electromagnetic energy, is as well to be propagated through the directly corresponding countless Lagrangian-based paths.  The Hamiltonian operands, via which light is to travel through, would here be the correlative space-time-fabric entity-like mediums -- through which such said electromagnetic energy is to travel or propagate into, as such said energy is to here be translated through its correlative delineation-based process, via the sequential series of group-related instantons, in which  light-like energy is to be both delineated and re-delineated.  The directly corresponding Lagrangian-based paths, in which and through which light is to be transferred -- via its correlative Fourier Transforms, would here be the actual mappable-tracings, as to the denoted directorial-based loci, via which the said electromagnetic energy is to be translated from one spot to another.  As such light-like energy is to here be both translated and re-translated, as the propagation-based eigenstates, that are to here be propagated as the multiplicit discrete quanta of such energy, that has both core electric and core magnetic propensities, that are kinematic in the process of their dual torsional Hamiltonian-based operations, -- this quantized said light-like energy is to then exist as the "standard-bearer" of the relationship of all physical phenomenology, via which the relativistic relationship of all physical holonomic substrates may then be associated with each other -- via that component that works to bring the multiplicit arena of physicality, to then exist among themselves.  This component that I have just mentioned is gravity.  Light-Like energy forms the relationship of relativity, while gravity brings physicality amongst other physicality.  The common denominator that exists between light and gravity, is the Rarita Structure.  The Rarita Structure is mainly controlled by the multiplicit oscillations of the correlative light-cone-gauge eigenstates.  Such oscillation-based vibrations, that are to here be on the relative Real Reimmanian Plane -- are to here be subtended into bringing together phenomenology, via both gravitons and gravitinos -- the latter of which, are to here exist off of the correlative Real Reimmanian Plane.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.