Light Scattering Upon An Electron -- Alteration In The Modulus Of Its Net Gauged-Action

 Whenever light, or, for that matter, whenever any electromagnetic energy, is to scatter upon an electron, such a general Ward-Cauchy-Related Hamiltonian Operation, will often consequently tend at working to alter the holonomic modulus of the net gauged-action, of both the electron that is here to have just been struck by the respective inferred photon, as well as the general condition, that such a Ward-Cauchy-Related Hamiltonian Operation, will also eminently have the general tendency, of working to alter the holonomic modulus of the net gauged-action, that is of the eluded-to photon, which is here to have just inferably come into contact, with the said respective electron, which is of this particular case scenrio. 'TILL NEXT TIME!TO BE CONTINUED!SINCERELY, SAMUEL DAVID ROACH. 

More Incremental Piecewise Continuous Hermitian Folding

 The quicker that a given arbitrary tense, of a quantum increment of discrete residual kinetic energy, is to be altered into becoming a respective given arbitrary photon, by way of the Green Function, via the Fujikawa Coupling, the finer that the directly associated incremental piecewise continuous hermitian folding is to be, in which the stated quantum increment of discrete residual kinetic energy, that is here to have just been released by a directly associated electron, is thence to end-up curling smoothly, with no Lagrangian-Based spurs, amidst the proximal local tense of space-time-fabric, in so as to help work to form the topological manifold, of a respective  given arbitrary quantum increment of discrete electromagnetic energy, of which is called a photon. TO BE CONTINUED! SINCERELY, SAM.

Upon Externalized Core-Field-Density Of Light-Cone-Gauge Eigenstate

 When a photon scatters upon another phenomenon, it is to tend to be tugging relatively inward, upon the externalized core-field-density of the first-order light-cone-gauge eigenstate, that it is here to be scattering upon. This takes MANY instantons. YET; Once that the photon has tugged as "inward" as it can, (like a phenomenon that is metaphorically "slowed-down" by stretching a "rubber band" as well as it can), that it may then be said, that it has finally Scattered upon the said respective phenomenology, that it had just "ricochet" upon. At this present inferred point, the photon may now be said to be of an entropic nature; as well as the earlier stated physical condition, that it will, for one immediately ensuing instanton, be of a "hook-string"-related nature. SAM.

A Refinement -- As To Entropic Photons

 For the first 384 group-related instantons that a given arbitrary photon, has scattered upon a Ward-Cauchy-related topological entity, that is in its path of projected trajectory, the said photon is here to be of an entropic nature. YET; during the very first of such instantons -- which is here to be JUST as the said respective given arbitrary photon, has happened to have scattered upon the said respective Ward-Cauchy-related topological entity that was in its eminent path, -- the said photon is here to be of the nature of a "hook-string." So; right during the course of such a respective given arbitrary group-related instanton, -- in spite of the physical condition, that at this particular point in duration, that the nature of the light-cone-gauge topology, that is here to be delineated AT the immediately reverse-holomorphic side of the string-like phenomenology, that is here to be of the said newly become entropic photon, is to have just just altered, from being of a non abelian nature into an abelian nature, (which is here to be on account of the nature, of a lack of a sinusoidal soliton-like flow, that is here to be of those second-light-cone-gauge eigenstates, that are here to be subtended, at the immediately relative reverse-holomorphic side of such a string-like delineation), -- that such a said string will STILL be of a non abelian light-cone-gauge topology. This is on account of the condition, in which, since the delineation of the shape of such an inferred superstring of discrete entropic electromagnetic energy permittivity , is to here to exist as being of an open loop-related nature, that is here to be of a curved-shaped loop-related morphological nature, Instead of being of a bosonic nature, that is thereby to be, over the course of this particular group-related instanton, in which such a said photon is to be at, Right at the moment of its scattering (as in being of an eminent manner), that the said photon is Still here, to work to bear a non abelian light-cone-gauge topology (that is here, to be of a Yang-Mills light-cone-gauge topology). This is on account of the general physical condition; that if EITHER of both of the implied factors, -- of which are here to work to help, in the determination as to whether or not a superstring of discrete energy permittivity, is to be of either an abelian topology or of a non abelian topology, to where this is here to work to indicate the proximal local presence, of a non abelian light-cone-gauge topology for either one of such factors, then -- it follows, that such a said superstring, will thereby tend to be of a non abelian topology. YET; right after this particular respective group-related instanton, -- that the just inferred open looped hook string is immediately to spontaneously close, and -- for the immediately ensuing 383 group-related instantons, the inferred entropic photonic string, is here to be of an abelian light-cone-gauge topology (to where, it is here to work to bear a Kaluza-Klein topology.)  So; after the 384 consecutive group-related instantons is to have happened, in which the said entropic photon is here to change back into being of a non entropic nature, that such a photon is NOW to be in the general process, of going back into attempting to tend to re-quantize, back into its cohesive state, of being among the rest of the "drop" of "light's" "ocean," to where the said photon,  which is to now to be of a non entropic nature, will NOW tend to go back into being of a non abelian topology. SINCERELY, SAM ROACH. (1989).

Light Into Kinetic Energy

 When a given arbitrary superstring, of a discrete quantum of electromagnetic energy permittivity, as exemplified  by the particle-related nature, of the holonomic permittivity of a photon, is to spontaneously convert into a superstring of discrete kinetic energy permittivity, — this general process, acts as the Inverse Operation, of the Fujikawa Coupling via the Green Function. Sincerely, SAM ROACH. (1989).

Photons And The Kahler-Metric

 Whenever a Noether-based photon is to scatter upon a phenomenon, it is thereupon consequentially to tend to immediately become Gliosis to the Kahler-Metric. Sincerely, SAMUEL DAVID ROACH. (1989).

Electromagnetic Energy — Anti-Holomorphic Kahler Conditions

When a given arbitrary superstring of discrete electromagnetic energy permittivity, is to scatter upon the topological manifold of a physical phenomenology, that is here to be considered at a level that is Poincare to the directly associated field density, that is here to be proximal local to the core region, at which the inferred photon, that is in the process of being scattered, is here to be initiating the general process of a Gliosis-related contact, via which the ensuing process of the respective scattering of a discrete increment of electromagnetic energy permittivity, is thence to be brought into the condition of occurring, — this will thereby work to consequently allow for the resultant physical tendency, as taken at the proximal local region of the stated electromagnetic scattering, of a given arbitrary respective set of anti-holomorphic Kahler conditions, that are thence to be present, over the course of the general process, by which the said photon that is here to be in the process of scattering, is thereby to eminently bear the physical condition, of working to bear a tense of a Lagrangian-related Chern-Simons singularity — at the proximal locus, at which the process of scattering is specifically to occur. To Be Continued! Sincerely, SAM ROACH. 

Electron Orbit And The Formation Of Photons

A typical electron works to bear a 1 out of 137 chance of falling back-and-forth an energy level, in so as to work to form a photon from the residual excess energy that such a said electron will have just attained, when such a said typical electron is here to be orbiting around the nucleus of an atom.  This works to indicate, that any one given arbitrary electron, will tend to average at helping to work to form one discrete quantum of electromagnetic energy, -- for every 137 cycles of orbit by which such a said typical electron is here to work to be translated through, over the course of its motion, as it is here to be in the process of circulating around the nucleus of any one given arbitrary respective atom, that it is here to be most associated with, over a respective quantum of time. To Be Continued! Sincerely, Samuel David Roach.

Release Of Relative Yukawa Bearing

When the general Ward-Cauchy-related process is here to be going on, during which the residual kinetic energy of an electron is to be released in the form of a photon -- there is here to be one directly corresponding open-looped superstring of discrete energy permittivity, that is then to release the immediately prior state that it had had, when in terms of its relative Yukawa bearing upon the correlative respective electron, to where right after such a said general process is to occur -- the here just released correlative discrete quantum of a Legendre homology, is then to undergo the general process,  that is here to be directly involved with the activity of the Fujikawa Coupling,  which is here to happen via the manner of activity that is known of as being of the Green Function, -- in so as to ensue as to work to form one given arbitrary respective discrete quantum of electromagnetic energy.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Noether And Entropic Photons And Homotopic Residue

Electromagnetic energy that is not in the process of scattering, tends to maintain the condition of working to bear only one partition-based discrepancy -- per each individually taken iteration of instanton in which such a phenomenology is being kept as unscattered electromagnetic energy.  However, whenever a photon is to strike another phenomenon, in so as to scatter upon it -- the individually taken entropic photon will tend to, over the course of a total of 384 consecutive instantons upon Gliosis-based contact, toggle between gaining while then releasing, respectively one tense per individually taken instanton, bewteen 8,886,111 and 8,886,110 partition-based discrepancies, -- until such an entropic photon is to, if it will, re-quantize back into an electromagnetic beam of photons. (A phenomenon with a Yang-Mills light-cone-gauge topology that is partially Yau-Exact.)
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Electromagnetic Energy And Homotopic Residue

Electromagnetic energy that is non-entropic, tends to maintain the condition, of bearing only one partition-based discrepancy -- over the course of each individually taken iteration of BRST, in which such a phenomenology is kept here as being of the nature of acting as discrete quanta of non-entropic electromagnetic energy.  Whenever a photon works to strike another phenomenon -- in so as to scatter upon it -- the entropic photon will tend to, for 384 consecutive group-related instantons upon Gliosis-related contact, act in so as to toggle between gaining while then releasing, from one tense to then the other, per individually taken instanton, between either 8,886,111 and 8,886,110 partition-based discrepancies,  -- until such an entropic scenario, if it will, is to then to act in so as to re-quantize back into one form or another of non-entropic electromagnetic energy (since a given arbitrary phenomenon that is here to work to bear such a so-eluded-to genus of a Yang-Mills topology, is going to be, in this case, of a partially Yau-Exact nature -- when one is here to be dealing with non-entropic photons, of which are here as discrete quanta of electromagnetic energy.)  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

Some Cool Stuff As To Calabi-Based Interactions

Whenever a photon is to scatter upon another discrete quantum of energy -- the relatively forward-holomorphic end of the initially stated photon, is to react in a Cevita-related manner -- to a Gliosis-related strike, that is to be translated upon the externalized core-field-density of the light-cone-gauge topology (note, not a head-on strike), of that respective discrete quantum of energy -- that it is here to have scattered upon. Yet, when a photon is, instead, to quantize with another discrete quantum of electromagnetic energy -- a relatively Nijenhuis-to-holomorphic end of the said photon, is here to coalesce with a relatively Nijenhuis-to-holomorphic end -- of that discrete quantum of electromagnetic energy that it is to quantize with.  The scattering of phenomenology with electromagnetic energy, is a general genus of an interaction -- that is eventually to tend to happen to any Calabi-related manifold over time.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Holomorphic Direction And Light Scattering

When an individually taken photon is to scatter upon another discrete quantum of energy, not only will the photon alter here in its holomorphic direction, once it is to become scattered into an entropic phenomenon -- it will temporarily alter in its holomorphic tendencies, until it is here to become re-quantized into a beam of electromagnetic energy.  You see, every different general genus of Ward-Cauchy-related phenomenology, works to bear its own set of holomorphic tendencies.  A discrete quantum of energy that is of a d-field is to work to bear a different set of holomorphic tendencies than a discrete quantum of energy that is of an f-field - whereas, a discrete quantum of energy that is of a p-field is to work to bear a different set of holomorphic tendencies than a discrete quantum of energy that is of either a d-field or of an f-field.  Furthermore, -- a discrete quantum of energy that is of a scattered photon as it is of an entropic state, is here to work to bear a different set of holomorphic tendencies than those of an unscattered photon that is not of an entropic state.  This is due to the basic general condition, -- that both the wave and the particle-based characteristics of a discrete quantum of energy, that are of a given arbitrary general genus of a Ward-Cauchy-related field -- are going to vary, when that said general genus of a field is to alter -- which is here going to mean, that the wave-tug/wave-push of such a field is going to then to tend to be inherently exhibited differently.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Solution 8 Of Test 2 Of Course 20

From the time that any one given arbitrary photon is to be scattered, until it is re-quantized back into a beam of light -- such a so-eluded-to entropic photon, is here to toggle from being delineated at a Laplacian-based extrapolation, in an orthogonal manner from its initial directoral-related tense of holomorphicity, -- as one may trace such a delineation from the point of scattering up to the covariant positioning at which it is to ensue in so as to re-quantize back into a beam of light, to then toggle back into being delineated at a Laplacian-based extrapolation, that is here to then be able to be extrapolated as working to bear a tense of holomorphicity, --  that is in a general linear distribution from where the photon was to have been scattered, up to the covariant positioning at which it is to re-quantize as I have mentioned earlier, back to toggling back into the earlier mentioned general genus of orthogonation ( a tense of Ward-Polarization, that may be traced in an extrapolation from its space-related point of scattering up to where its is to be re-quantized), and so-on, -- until the here initially stated entropic photon, is to be brought back into the beam of light as a Yang-Mills-related topological phenomenon that is here to bear partially Yau-Exact singularities. (To where the said photon is to go back into being as a standard discrete quantum of electromagnetic energy over time.)
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Solution 7 Of Test 2 Of Course 20

7)  When a photon -- which is a discrete quantum of electromagnetic energy -- scatters upon another discrete quantum of energy, the holomorphic end of the photon that is here to be in the process of just being scattered, -- is made to be Gliosis to the externalized core-field-density of that light-cone-gauge eigenstate that is here of that specific quantum of energy, that the said photon is here to be scattering upon.  This would then work to make the relatively forward-holomorphic end of the incoming photon to be tangent upon the Njenhuis side of that phenomenology that the so-stated photon is here to be coming into a direct contact with, in so as to scatter.  Tangency is a tense of orphoganation.  In this general genus of a case, the just mentioned tangency also bears the general tense of orphoganation -- to where the forward-holomorphic end of the photon of this case, that is here to strike, in so as to be scattered, -- is to be at a generic right angle to the general flow that may here be subtended by making a Laplacian-related tracing -- that is to be extrapolated from the relative reverse-holomorphic end of the just struck discrete bundle of energy towards the relative forward-holomorphic end of the same mentioned just struck discrete bundle of energy.  This shows a tense of normalcy or orphoganation.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Solution 6 Of Test 2 Of Course 20

6)  Individual quanta of electromagnetic energy exist as photons.  As with basically all discrete increments of energy quanta besides gauge-bosons that are of a closed-loop nature -- photons are comprised of by both a bosonic superstring of discrete energy permittivity as well as its correlative counter string, and also by both the said string's directly corresponding Fadeev-Popov-Trace eigenstate as well as its correlative light-cone-gauge eigenstate.  The said superstring and its correlative counter string, work to act as the respective primarily thought of pointal-based and the primarily thought of wave-based holonomic substrate of the said photon.  Whereas -- the said Fadeev-Popov-Trace eigenstate and its correlative light-cone-gauge eigenstate, work to act as the respective primarily thought of pointal-based and the primarily thought of wave-based holonomic substrate of the said photon.The just mentioned light-cone-gauge eigenstate, works to inter-relate the said Fadeev-Popov-Trace eigenstate with both its directly corresponding superstring of discrete energy permittiivty and its correlative counter string.  Individually taken photons work to coalesce via quantization -- by working to tend to conjoin at their relative Njenhuis periphery of core-field-density.  One may here use a metaphor to view a photon as being the overall beam of electromagnetic energy, as well as that the just mentioned overall beam of electromagnetic energy as being the photon, -- just as a drop of water from the ocean may be viewed of as being the ocean, as well as the ocean may be thought of as being at one with the said drop of water.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Zero-Norm-State-Projections Causing Fujikawa Coupling

The general manner by which zero-norm-projections work to help at forming the general activity of the Fujikawa Coupling, is by the manner by which that the directly corresponding zero-norm-state-projection or projections -- that are here to act in so as to be bending the discrete quantum of kinetic energy permittivity in a hermitian manner, is acting in such a manner by which it is here to be arcing gradually although spontaneously in a hermitian manner -- via its correlative tense of a fractal of spin-orbital-momentum.  Here.  A given arbitrary set of one or more zero-norm-state-projections are to work to bear a wave-tug upon a discrete quantum of kinetic energy permittivity, that is to be subsequently released as the excess residual energy of an electron, in the form of a photon.  As such a said set of one or more zero-norm-state-projections are to bear a Gliosis-related Yukawa wave-tug -- upon the said discrete quantum of residual energy, the so-stated set of projections is then to work to bear a smoothly-curved torsioning upon the converting discrete quantum of energy -- in a manner that works to consequently smoothly bend the discrete kinetic energy that is then to be becoming discrete electromagnetic energy, in a manner that works to involve only as many changes in derivatives as the number of spatial dimensions that it is here to be traveling through, over its directly corresponding Fourier-Transformation.  It is the smooth translation of the fractal of spin-orbital-momentum -- that the here torsioning set of one or more zero-norm-state-projections are to be undergoing over time -- that is here to work to cause the consequent smooth translation of the hermitian bending of the here released kinetic energy of the corerlative electron, that is here to then ensue, in so as then to form a resultant photon (a photon is a discrete quantum of electromagnetic energy).
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

E.M. Striking Mass-Bearing Superstrings

When a photon is to strike a mass-bearing discrete quantum of energy -- the said photon is then to tend to strike the externalized core-field-density that is of the light-cone-gauge eigenstate that is of that self-said mass-bearing discrete quantum of energy.  Two immediately adjacent superstrings that are of the same universal setting will tend to be orthogonal to one another, in a Ward-Cauchy-related manner.  So, when a photon is to strike a mass-bearing discrete quantum of energy in a viable manner, that is as well of a Gliosis-related manner -- the collision of the said photon with the mass-bearing quantum, is to be of an orthogonal manner, and in the so-eluded-to Ward-Cauchy-based manner over time.  As the said photon is in the process of colliding with the said discrete quantum of mass-bearing energy, the said externalized core-field-density that is of the light-cone-gauge eigenstate that is being struck here (the light-cone-gauge eigenstate of a discrete quantum of energy is the relatively wave-based phenomenology of the discrete energy impedance of the said given arbitrary discrete quantum of energy), -- this so-eluded-to impartation of force that is thus convened, will work to alter the "plucking" activity of the correlative gauge-bosons upon the correlative second-order light-cone-gauge eigenstates -- that are here of the directly corresponding mass-bearing discrete quantum of energy.  This will then often work to alter the scalar amplitude of the resultant implementation of the correlative formation of Schwinger-Indices that are thence formed by the said discrete quantum of mass-bearing energy over time.  As this is happening, the correlative electron -- of which is comprised of the orbifold eigenset that had here to have just contained that superstringular phenomenology that had just been struck -- will drop back-and-forth an energy level, in so as to work to release its residual discrete kinetic energy in the form of a discrete quantum of electromagnetic energy.  When there are a large number of such collisions of photons upon a proximal localized set of mass-bearing quanta of discrete energy -- over a discrete evenly gauged Hamiltonian eigenmetric, those discrete quanta of electromagnetic energy that will tend to be produced, will usually tend to be primarily those photons that are here to be of an infrared or heat-based nature.  Thus, the application of light upon a mass may often work to both increase the heat of the mass, as well as working to effect the proximal local condition of the Ricci Scalar eigenstates that are here to be locally attributed to such a given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Curl Of Magnetic Field

As the discrete electromagnetic energy of a photon is to be moving through a medium, in the relative holomorphic direction -- the correlative superstring of discrete energy permittivity is here to be moving transversally in a hermitian manner, while its directly corresponding homotopic torsional eigenindices are here to bear a general genus of a relative topological sway, that is at the relative reverse-holomorphic end of the so-eluded-to end of the said discrete energy quantum, -- of which works to help at allowing for a photon to work to bear a partially Yau-Exact manner of homotopic motion.  So, it is the discrete energy impedance of a discrete quantum of electromagnetic energy -- of which is to sway back-and-forth, as the correlative discrete quantum of energy permittivity is to be moving in a relatively straight manner, as is according to the direction of least time -- of which is to here to work at helping to cause the basic general condition, that, the magnetic field of a photon is to curl around the electric field of a photon, as is as according to the right-hand-rule.  Furthermore, as the multiplicit superstring of a discrete quantum of electromagnetic energy, is to be traveling in a relatively straight manner -- that proximal local set of cohomological eigenindices, that are here to be formed by the homotopic topological sway of the correlative multiplicit Fadeev-Popov-Trace eigenstate, that is to thereby to work to form a discrete manner -- at the most primal level -- of that state of affairs, to where this works to help at allowing for the correlative magnetic field of a discrete quantum of electromagnetic energy to thereby curl around the electric field.
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.