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.