That general genus of eigenstates that may be termed of as "gauge-bosons," are comprised of the consistency of closed-loops of topological stratum -- that are each individually taken, as an integration of first-order point particles -- that are "beaded togehther" in a general composition, that has twice the scalar amplitude of its Lagrangian-based magnitude, as taken along its topological surface (twice the magnitude of its Laplacian-based permimeter, when taken at the Poincare level), as a fully contracted bosonic superstring of discrete energy permittivity, when taken over the course of any individually taken iteration of BRST. Any one given arbitrary respective second-order light-cone-gauge eigenstate, is comprised of a "spindle" of mini-stringular segmentation (mini-stringular segmentation is that general genus of topological phenomenology, that works to form the holonomic substrate of the generic field-based stratum -- that works to inter-bind superstrings, via the general Ward-Caucy-based condition of homotopy), that is inter-bound over the course of BRST, in-between any respective given arbitrary Fadeev-Popov-Trace eigenstate and its directly corresponding superstring of discrete energy permittivity. Gauge-Bosons, during the course of any one individually taken iteration of BRST, work to "pluck" those correlative second-order light-cone-gauge eigenstates that these are correlative to, like a "harp," in so as to work to produce those resultant Schwinger-Indices, that may be described of as gravity waves. When any one gauge-boson is to work to strike any respective said second-order light-cone-gauge eigenstate -- in such a manner, to where this so-eluded-to process is, over the said individually taken iteration of BRST, to work to help to allow for the initially Gliosis-based first-order point particle of the said gauge-boson, that is to first work to strike the correlative second-order light-cone-gauge eigenstate, to remain in a direct contact with the said second-order light-cone-gauge eigenstate, over the whole iteration of BRST, then, the resultant gravity wave or gravity waves that are thus formed by such a "plucking," are to tend to work to form more of a harmonic wave pattern, -- than if the said "plucking" is to, instead, to act in so as to "jump" upon multiple first-order point particles, in the process of the formation of gravity waves, that is to happen during the Polyakov Action, over the course of any one individually taken iteration of BRST, which is over the clear majority of the beginning of any one respective given arbitrary iteration of a correlative duration of one discrete increment of instanton.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
Showing posts with label Ward-Caucy. Show all posts
Showing posts with label Ward-Caucy. Show all posts
Wednesday, June 28, 2017
As To "Plucking" The Light-Cone-Gauge
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BRST,
eigenstates,
Gauge-Bosons,
Gliosis,
gravity waves,
harmonic wave pattern,
Laplacian,
light-cone-gauge,
Poincare,
Polyakov Action,
Ward-Caucy
Monday, June 26, 2017
Dimensions Move Through
Let us consider both an f-field, a d-field, and a p-field. Let us next say, that, over a discrete amount of time, -- both an orbifold eigenset of an f-field, an orbifold eigenset of a d-field, and an orbifold eigenset of a p-field, are to all to travel through what would otherwise be a common general Hamiltonian operand-based region. What is here to tend to work to influence the general Ward-Caucy-based condition, in so as to help to cause both the f-field to move through a minimum of four spatial dimensions, the d-field to move through a minimum of six spatial dimensions, and the p-field to move through a minimum of ten spatial dimensions (all of these being plus the dimension of time), is that, given the general genus of the vibrations of those superstrings that are to work to make-up each of the three individually taken general genre of field-based attribute -- along with the manner by which such superstrings of such said respective given arbitrary fields are to be tugged through such a so-eluded-to Hamiltonian-based operand -- a tendency will form, in so as to have a respective minimum of four spatial dimensions (for f-fields), six spatial dimensions (for d-fields), and ten spatial dimensions (for p-fields), is to be the said case for the three different said genre of field-based attribute.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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d-field,
F-field,
Hamiltonian,
operand,
orbifold eigenset,
p-field,
superstrings,
Ward-Caucy
Common Holomorphicity
Let us consider the discrete quanta of energy of one given arbitrary orbifold eigenset. As a general Ward-Caucy-based condition, -- all of the discrete quanta of energy that are immediately adjacent to any one respective given arbitrary discrete quantum of energy, are to be orphogonal to the one said discrete quantum of energy -- yet only over the course of any one specific respective given arbitrary iteration of BRST. Over the ensuing ending of the general metric of any one respective so-eluded-to iteration of group-related instanton, (instanton after one iteration of BRST), all of the discrete quanta of energy that are of any one individually taken respective given arbitrary orbifold eigenset, are to adjust along their coniaxion-related eigenbase, -- in so as to work to allow for all of the discrete quanta of energy that are here to help to work to comprise one individual given arbitrary orbifold eigenset, to be of such a general condition in so as to move in a common specific holomorphic direction.
The between four and 32 spatial dimensions that a superstring is to move through -- over the ending of the course of one individually taken metric of group-related instanton -- is a significant contributing factor to the just described general Ward-Caucy-based condition.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
The between four and 32 spatial dimensions that a superstring is to move through -- over the ending of the course of one individually taken metric of group-related instanton -- is a significant contributing factor to the just described general Ward-Caucy-based condition.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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8:44 AM
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BRST,
discrete quanta of energy,
eigenbase,
instanton,
metric,
orbifold eigenset,
superstring,
Ward-Caucy
Thursday, June 22, 2017
Gaussian Transformations And Consecutive Kahler-Metric States
At the metrical end of one given arbitrary iteration of one respective Kahler-Metric eigenmetric -- the directly corresponding holonomic substrate-based eigenstate of the Klein Bottle, when along with its correlative Higgs Boson eigenstate, -- is to work to re-orientate by readjustment, by the metrical activity of three consecutive iterations of group-related instanton, in so as to be ready to act upon what is here to be a different Ward-Caucy-based topological substrate -- in so as to operate via the Kahler-Metric upon a different set of discrete energy quanta, that are to then undergo another eigenmetric of the Kahler-Metric. This would then work to allow for the respective holonomic substate-based phenomenology of the said metric, to act in so as to work to help in another set of discrete quanta of energy to work to reattain their respective given arbitrary discrete energy, -- so that such discrete energy may both exist and persist. Right after such a so-stated readjustment, -- that respective holonomic substrate-based phenomenology, that had just acted upon one set of discrete energy phenomenology -- is to then work upon another set of discrete energy phenomenology. Such an ensuing set of phenomenology that is to be worked upon next, is not necessarily of the same universal setting as the respective given arbitrary initial set of discrete energy quanta-based phenomenology that had just been worked upon.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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discrete energy quanta,
eigenstate,
Higgs Boson,
holnomic substrate,
Kahler-Metric,
metric,
Ward-Caucy
Friday, June 9, 2017
Gaussian Transformations And The Kahler-Metric, In General
Let us initially consider one given arbitrary orbifold eigenset, -- that is here to be eminently Yukawa to the Kahler-Metric. Here is a brief synapsis, in both a curt and in a general manner, as to what is to happen here.: At the onset of such a Ward-Caucy group-related metric --the so-eluded-to set of superstrings, that are to here be operating to perform one specific function, are to first here, bear an eminent Yukawa-based relationship that is not of a Gliosis-based nature, with the Kahler-Metric -- for the initial 95 iterations of group-related instanton -- in which this is happening. For the ensuing 191 iterations of the said tense of instanton, the correlative orbifold eigenset is to be Gliosis to the so-eluded-to eigenstate of the Kahler-Metric. For the next 95 iterations of the said tense of instanton, the correlative orbifold eigenset is to bear an eminent Yakawa-based relationship with the Kahler-Metric, yet not in a Gliosis-based manner. For the next three iterations of group-related instanton -- the said orbifold eigenset is only mildly Yukawa in an eminent manner, to the so-eluded-to Kahler-Metric eigenstate, -- while the directly corresponding Higgs Boson eigenstate along with the correlative holonomic substrate of the directly corresponding Klein Bottle eigenstate, are to work to re-position themselves, -- in so as to work to prepare for the activity of a slightly different proximal local Fourier-related operation, that is to involve the eminent Yukawa-based bearings of the Kahler-Metric.
I will explain this in much more detail in Course 24 -- as to conformal invariance and superconformal invariance. I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will explain this in much more detail in Course 24 -- as to conformal invariance and superconformal invariance. I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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1:11 PM
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conformal invariance,
eigenstates,
Fourier,
Gliosis,
instantons,
Kahler-Metric,
orbifold eigenset,
superstrings,
Ward-Caucy,
Yukawa
Thursday, June 8, 2017
Heat And Clifford Expansion Of Kinetic Flow Of Gravity Waves
Gauge-Transformations, that are due to the general activity that is involved with the process of electromagnetic scattering -- that work to form infrared photons, -- tend to indirectly work to form more of a Clifford Expansion of the kinetic flow of gravity waves, than other gauge-transformations do. Such gravity waves that are to be delineated along the Rarita Structure, in the form of the directly corresponding Fourier-based euler propagated Schwinger-Indices, that are here to be delineated in such a manner, in so as to work to help at causing a general genus of a Rayleigh-based scattering of entropic photons, happens, to where such an annharmonic tense of scattering is to tend to "try" to proceed in the general Ward-Caucy-based condition of a radiation-based homogeneity. Such a general genus of a Clifford Expansion, tends to bear such a Ward-Caucy-based condition of a radial cohomological generation -- that is to bear its central parametric coniaxion, from within the general region in which the directly corresponding Schwinger-Indices that are to here act as gravity waves, are to bear the initiation of their kinematic translation.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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10:32 AM
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Clifford Expansion,
Fourier,
gauge-tranformations,
gravity waves,
Rarita Structure,
Rayleigh Scattering,
Schwinger-Indices,
Ward-Caucy
Wednesday, June 7, 2017
General Directoral-Based Drive Of Scattering Photons
When a photon acts, in so as to scatter upon any one discrete quanta of energy -- the photon may, depending upon the specific circumstances, strike the externalized core-field-density of the light-cone-gauge of the discrete quanta that it is to strike, at basically any angle that is here to take into consideration the Ward-Caucy condition, that a photon always tends to move in the direction of the holomorphic Lagrangian-based path of the annulus of the core-field-density of its composite derived superstring of discrete energy permittivity. Such a photon, that is to act in so as to strike another discrete quanta of energy over time -- is to always tend to scatter upon the externalized core-field-density of the light-cone-gauge eigenstate of the quanta of energy that it is here to strike. This then works to mean, that, when a photon is to strike another discrete quanta of energy, in so as to scatter upon it -- the counter string of discrete energy permittivity of the incoming photon, is to be made Yukawa in a Gliosis-based manner at the Poincare level, to the externalized core-field-density of the eminent wave-based nature of the discrete quanta of energy impedance of whatever discrete quanta of energy that it is to scatter upon. Furthermore, if one photon is to "strike" another photon -- to where the correlative composite light-cone-gauge eigenstate of one discrete electromagnetic energy is to be made eminently Yukawa to the correlative composite light-cone-gauge eigenstate of another photon over time, then -- instead of the two photons to here be scattered upon each other, the two photons will become quantized into a common beam of light. Again -- the photon is both itself and the beam of electromagnetic energy at the same time, -- just as the reverse-fractal tense of a drop of water in the ocean is to be both itself and the ocean at the same time.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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11:36 AM
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eigenstate,
electromagnetic energy,
Gliosis,
holomorphic,
light,
path,
photon,
quanta,
superstring,
time,
Ward-Caucy,
Yukawa
General Gauge-Boson Positioning
Take into consideration the Laplacian-based angular momentum of a given arbitrary photon, that is delineated in so as to be Gliosis to the externalized core-field-density of one respective given arbitrary first-order light-cone-gauge eigenstate -- over one respective given arbitrary iteration of BRST. Take the equal and opposite Laplaciain-based angular momentum of delineation, that is at the opposite side of the externalized core-field-density of the said first-order light-cone-gauge eigenstate, of this given arbitrary case. The correlative respective gauge-bosons, are to then to work to "pluck" the correlative second-order light-cone-gauge eigenstates, at an overall average mean angling (as is according to a relationship to the Slater Equation) -- that is orphoganal to the just inferred equal and opposite Ward-Caucy-based positional delineation -- as such so-stated second-order light-cone-gauge eigenstates are to be "played like a harp," in so as to form those consequent Schwinger-Indices, that are to here to act as gravity waves, that are to be propagated along the Rarita Structure -- in so as to help to allow for the Hamiltonian operation of the existence of gravity to take hold.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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9:53 AM
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bosons,
BRST,
core-field-density,
Gliosis eigenstate,
gravity,
Hamiltonian,
Laplacian,
light-cone-gauge,
photon,
Rarita Structure,
Schwinger-Indices,
Slater equation,
Ward-Caucy
Monday, June 5, 2017
Heat And Gauge-Transformations
The overall process of both the creation of heat energy, along with the Ward-Caucy-related Fourier-based activity of the vibrational oscillations of heat energy -- in the form of both the creation of infrared photons in correlation with their vibrations, over time, as well as the Ward-Caucy-related Fourier-based activity of infrared photons in correlation with their vibrations over time -- works to involve a general genus of gauge-transformation, that helps to work to allow for a plausible tense of a Hilbert-related volume, instead of bearing a Minkowski-related volume, for those directly corresponding atoms, and, at a reverse-fractaled tense, for those directly corresponding molecules, that are to here be correlative to the general tense of such a so-eluded-to manner of space-time-based activity. Furthermore -- those gauge-transformations that are most correlative to the dual activity of both the formation and the activity of infrared photons over time, acts in part, as that general genus of gauge-tranformation -- that works as part of the process by which the directly correlative orbifolds and orbifold eigensets, that are to here be most Yukawa to such a general tense of activity, -- may then be brought into a Ward-Caucy-related condition of then being more susceptible to bearing less than a purely holographic-based manner of spatial dimensionality. This is partially due to the general tense of that "shimmering" of those correlative light-cone-gauge eigenstates -- that is to happen, when photons are in part, to scatter upon such eigenstates, in the process of what is here is to be related to the consequent formation of that form of electromagnetic energy, that is known of as infrared photons, or, in other words, of what is known of as heat energy.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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12:52 PM
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eigensets,
eigenstates,
Fourier,
heat,
Hilbert,
infrared energy,
Minkowski,
orbifolds,
photons,
strings,
time,
Ward-Caucy,
Yukawa
Thursday, June 1, 2017
Infrared Photons And E(8)XE(8) Strings
The Fourier-based flow of the electrodynamic vibrations of infrared photons over time, tends to help to work to tug-in those group-attractors, that are thence brought into either a multiplicit taken Calabi-Yau, Calabi-Wilson-Gordan, and/or a Calabi-Calabi-based region -- in so as to help in the fortification of both the existence and the persistence of E(8)XE(8) strings -- in their multiplicit correlative delineations. E(8)XE(8) strings act, in so as to help in the process of inter-lacing both superstrings into orbifolds -- as well as inter-lacing orbifolds into orbifold eigensets. E(8)XE(8) strings thus act, in so as to help in the process of working to allow for the Ward-Caucy-based multidemensional-related Hilbert-based Volume of the general substringular realm. One could then say, that E(8)XE(8) strings are to the substringular -- what microtubules are to the reverse-fractal-based stratum of living cells.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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11:38 AM
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Calabi-Calabi,
Calabi-Wilson-Gordan,
Calabi-Yau,
electrodynamic,
Fourier,
Hilbert Volume,
infrared photons,
living cells,
strings,
time,
vibrations,
Ward-Caucy
Friday, May 26, 2017
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.
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.
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6:16 PM
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Calabi,
eigenindices,
Fourier,
Gauge-Transformations,
Gaussian Transformations,
Kahler-Metric,
substringular,
superstrings,
Ward-Caucy,
Yukawa
Monday, May 15, 2017
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.
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Calabi-Yau,
energy level,
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Majorana-Weyl-Invariant-Mode,
Noether Flow,
photons,
strings,
Ward-Caucy,
Yau-Exact
Saturday, May 13, 2017
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.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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Chern-Simons,
complex roots,
eigenstates,
Fourier,
instantons,
Kahler-Metric,
Majorana-Weyl-Invariant-Mode,
orbifold eigenset,
Ward-Caucy
Thursday, May 11, 2017
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.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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10:15 AM
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Chern-Simons,
cohomology,
eigenstates,
Fourier,
Lagrangian,
Minkowski,
Njenhuis,
orbifold eigenset,
Ward-Caucy
Monday, May 8, 2017
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.
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cohomology,
field,
Fourier-Transform,
hermitian,
isomorphic,
Laplacian,
orbifold eigenset,
Ward-Caucy,
Yukawa
Tuesday, May 2, 2017
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.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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atoms,
Calabi-Yau,
charge,
eigenstates,
electrons,
Gliosis,
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light,
orbifold eigensets,
Rarita Structure,
Rayleigh,
strings,
Ward-Caucy
Sunday, April 30, 2017
Photons Scattering And Entropy
The general genus of a Rayleigh scattering, is a genus of scattering -- in which the resultant adjacent eigenindices that had just been scattered, are to then work to bear an odd chirality. When light is scattered out of order, the general genus of scattering that is to here occur, is of a Rayleigh scattering. Any electromagnetic energy that has just been annharmonically scattered, is to bear a resultant set of eigenstates -- to where the adjacent eigenindices of such eigenstates, are to work to bear an odd chirality. It is this general genus of the annharmonic scattering of light or electromagnetic energy -- that is one of the main facets, by which the entropy of the multiverse is to thence be caused by. Therefore, it is the Rayleigh scattering of light -- that is one of the main "things," of which is to here, to work at helping form the Ward-Caucy-based entropy of the multiverse.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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chirality,
eigenindices,
eigenstates,
entropy,
light,
multiverse,
odd,
Rayleigh,
scattering,
Ward-Caucy
Wednesday, April 26, 2017
Photons And Spatial Dimensions
A photon exists in a general Ward-Caucy-based field, that may be considered to be what is known of as a p-field. A p-field is a Ward-Caucy-based field, that exists in a minimum of ten spatial dimensions plus time -- over the course of any successive set of two or more consecutive iterations of group-related instanton. Part of as to why a photon exists in such a "p-field," is because, during the course of any individually taken iteration of BRST, in which an individual superstring that is to here act as a photon, this process will happen to where the said superstring will then work to bear its angular momentum in the general direction of its anuulus. This may be reverse-fractaled-out to the Ward-Caucy condition, that any orbifold eigenset, that is to here work to involve one or more quantized photons, during such a said iteration of BRST, -- is to tend to bear its angular momentum in the general direction of its anuulus. Yet, when you think about it, this will then work to mean that photons are to then move in a relatively acute manner, that is to then be significantly more "aerodynamic," in a substringular-based manner, than another comparable discrete quantum of energy, that is to instead to work to bear the holomorphic direction of its angular momentum, in the general direction of the topological stratum of the fringe of its external core-field-density. This would then help at working to explain, a little as to both the why and the how, that light always tends to act in as straight of a line as is feasible, -- when this is given the considerations as to the medium that such light is moving through, as well as when this takes into consideration the innate and proximal localized bending of space-time-fabric over time.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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BRST,
holomorphic,
instanton,
light,
orbifold,
orbifold eigenset,
p-field,
photons,
space,
strings,
Ward-Caucy
Monday, April 24, 2017
As To Dissipated Kinetic Energy
Kinetic energy that is dissipated, tends to be converted into one of the following "things," as long as it is not frayed.: This said kinetic energy tends to either be converted into: Electromagnetic energy, via the Fujikawa Coupling, as is according to the Green Function; or, it is converted into a mass-bearing superstring of discrete energy permittivity; or, it will make an indistinguishabley different perturbation in its reference frame of Hamiltonian operation; or else it will tend to be recycled in its Ward-Caucy-based conditions, into a certain Hodge-based holonomic substrate -- that is of a given arbitrary scalar amplitude of norm-state-projection(s). I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
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energy,
Fujikawa Coupling,
Green function,
Hamiltonian,
Hodge-based,
holonomic substrate,
kinetic energy,
superstring,
Ward-Caucy
Tuesday, April 18, 2017
As To The Kahler-Metric And The Polyakov Action
In any given arbitrary case -- the tendency is, to where, given that there is the same scalar amplitude or the same scalar magnitude of the Polyakov Action for one bosonic superstring of discrete energy permittivity, when taken versus another of such individually taken bosonic superstrings of discrete energy permittivity -- the condition exists, to where the more that the Kahler-Metric is Yukawa to any of such a said respective given arbitrary superstring, -- the more that the tendency is, to where there is to then be more of a scalar amplitude of mini-stringular segmentation, that is to be thus fed into the proximal locus of the field of such a so-stated respective superstring, over the course of any single respective given arbitrary iteration of BRST, in which such dual Ward-Caucy conditions are to be thus compared.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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bosonic,
BRST,
iterations,
Kahler-Metric,
permittiivty,
Polyakov,
scalar amplitude,
segmentation,
superstrings,
Ward-Caucy
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