Showing posts with label Poincaire. Show all posts
Showing posts with label Poincaire. Show all posts
Wednesday, January 20, 2016
Chern-Simons Singularities And The Kahler-Metric
When there is a Cevita Interaction that happens to a set of substringular eigenmembers of discrete energy quanta, over time -- there is then a tendency of there being a relatively annharmonic perturbation that is to then happen to the Fourier-based activity of the so-stated substringular eigenmembers, that are of such a respective given arbitrary case. When there is the occurrence of an annharmonic perturbation -- that is to here be happening to a respective set of substringular eigenmembers, over time -- this tendency of occurrence will then tend to form both the Laplacian-based and the Fourier-based existence of certain respective metrical-based Chern-Simons singularities, that are here to be delineated in an exterialzed manner from the Gliosis-based Ward-Neumman bounds of the Poincaire-based region of the field-density of the so-stated substringular eigenmembers, towards a cross-product-based directoral wave-tug/wave-pull, that is pulled out of the immediate localized surroundings of the so-stated Ward-Neumman bounds of the holonomic substrate of the Gliosis-based field, that is of the proximal region of the said substringular eigenmembers. Such a so-stated annharmonic perturbation will then tend to not only form a tense of localized entropy, yet, such a Cevita-based interaction will, as well, tend to form an antiholomorphic Kahler condition at the said proximal localized region. Such an antiholomorphic Kahler condition will then tend to form a Kahler-Metric -- over the here relatively ensuing sequential series of iterations of group-related instantons -- in terms of the Fourier-based activity of the proximal local substringular eigenmembers -- that are of the neighboring region of the Poicaire-based Hamiltonian operators, that are correlative in the directly corresponding tense of time and space.
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Cevita,
eigenmembers,
Gliosis,
Hamiltonian,
instantons,
Kahler-Metric,
Poincaire,
quanta,
Ward-Neumman
Cevita Interactions And Metrical Singularities
A Cevita-based disturbance of the Gliosis-based topological indices -- that are at the Poincaire level to the core-field-density of any given arbitrary annharmonic-flowing pulsating superstring, that is being translated in a Fourier-based manner over a sequential series of instantons, -- will tend to form a tense of one or more metrical-based Chern-Simons-related singularities, as the so-stated superstring is undergoing its directly corresponding Hamiltonian operation -- in so as to perform the predominant operation of its kinetic-based function over the course of the respective correlative gauge-metrical-based activity that is of the said superstring. As such a regional-based localized kinematic-based activity of the here mentioned superstring is to occur over a relatively transient duration of time, the correlative annharmonic perturbation of the here so-eluded-to Gliosis-based indices, that are at the Poincaire level to the core-field-density of the said superstring that is then differentiating in a Fourier-based manner, will then tend to bear proximal iterations that are of an annharmonic-based metrical pulsation. This is since the overall fractal of momentum-based indices (on the order of J = S+L), or, in other words, the overall spin-orbital Hamiltonian index plus the overall radial Hamiltonian index plus the overall transversel Hamiltonian index, as a whole -- that such a superstring will then tend to bear -- will then tend to go into what may here be described of as an alteration of its delineatory index. This said index is here of the exterialized vibrational rippling, from the immediate Ward-Neumman bounds of the core-field-density of the said string. This would then work to form an annharmonic flow of the velocity of the said superstring, in so as to effect the substringular acceleration, so to speak, of the motion of the so-stated superstring.
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Cevita,
Chern-Simons,
Gliosis,
Hamiltonian,
Poincaire,
superstring
Some Information As To Wess-Zumino Interactions And Metrical Singularities
A Wess-Zumino-based disturbance in the J-based Hamiltonian topological sway (S+L) of a superstring, will tend to work at working to form a hermitian metrical singularity -- in a direct correspondence to the Fourier-based displacement of the directly corresponding superstring, over a directly pertinent sequential series of instantons in which such a said superstring is delineated through a unitary Lagrangian that is along the path of its directly corresponding Hamiltonian operand that is in time and space. A Wess-Zumino disturbance, in this case, is a harmonic-based perturbation in the eigenindices that are localized along the Gliosis-based topological stratum of the core-field-density of the Poincaire-associated Hamiltonian operation, that is of the kinematic distribution of the so-stated superstring -- as it is working to perform the operation of what its then predominant function is in time and space. Just as a Reimman scattering tends to work at bringing substringular phenomenology into a hightened tense of order -- a Wess-Zumino-based disturbance tends to work to act as a perturbation that pulls phenomenology into a deepened tense of order. So, Wess-Zumino interactions tend to bring phenomenology into the direction of what would here be the multiplicit tense of a Majorana-Weyl-Invariant-based mode, over time.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel Roach.
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Gliosis-based topological stratum,
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hermitian,
instanton,
Poincaire,
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Wess-Zumino
Tuesday, January 12, 2016
Static Equilibrium Of Gravitational Pull
Let us initially consider an array or a set of superstrings -- each of such individually taken sets of superstrings of which keep going from an initial tense of conformal invariance, while then each of such so-stated sets of superstrings of which are then perturbated out of their correlative Majorana-Weyl-Invariant-based modes, while then each of such respective sets of superstrings then re-attaining a different tense of a Majorana-Weyl-Invariant-Mode -- at an ensuing locus as to where and how their subsequent proximal tense of Majorana-Weyl-Invariance is to take place, over a sequential series of group-related instantons. Let us now consider here, a Ward-Caucy-based field that is both external to the initially so-stated set of superstrings and of a greater Hodge-Index of superstringular eigenmembers. Let us now say that the so-eluded-to reverse fractal of the initially so-eluded-to superstringular field is in more of a steady-state of conformal invariance than the initially stated set of superstrings -- at the Poincaire level of the outer Ward-Neumman bounds of the second field that is being considered here, to where the said respective reverse fractal-based field is then behaving in such a manner to where it displays a tense of a Majorana-Weyl-Invariant-Mode, over time. Let us now consider the condition -- that the "gluing" together of sub-atomic particles, in so as to form larger discrete parts of the multivarious atoms that work to form the Calabi-Yau manifolds that work to form matter -- is indicative of the centralized knotting of those Rarita Structure eigenstates, in so that the structure that works to form the holonomic substrate of gravity (the Rarita Structure) bears its centralized ties, at the specific loci, where that so-stated gluing together of subatomic particles is to happen -- in order for the key ingredients that work to form matter may be able to come together in order to form the said multivarious Calabi-Yau manifolds that make-up matter. The just mentioned gluing together of subatomic particles -- in so as to form things such as protons, neutrons, and electrons (such as the condition that gluons work to bind quarks to leptons in protons), is what the strong force is all about. The Rarita Structure is that substringular fabric, that works as the physically-based liaison between superstrings of discrete energy quanta and gravitational-based particles, so that gravity may be taken into effect. The centralized knotting of the Rarita Structure is that multiplicit holonomic substrate -- that acts as the phenomenology of the overtly taken eigenstates of the strong force. The strong force is much stronger than the gravitational force. Yet, it is the centralized knotting of the translational fabric of the gravitational force -- that works to form the phenomenology of the specific eigenstates of what the strong force is. So, the perturbative adjustments of the centralized knotting of the Rarita Structure, would theoretically alter the positional clause of a locally taken consideration of the gravitational force. Yet, when one is to reverse fractal the Poincaire level as to the consideration of what the gravitational force is, at a more macroscopic level -- if the said more macroscopic level is in a state of static equilibrium -- then, the condition of gravity at the so-stated reverse fractal-based state will be of less of a perturbative state, thereby working to form more of an Invariant-based tense to the local state of gravity, that is at the more macroscopic level that is being mentioned here in this case.
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Calabi-Yau,
holonmic substrate,
Majorana-Weyl-Invariant-Mode,
Poincaire,
Rarita Structure,
Ward-Neumman
Sunday, January 10, 2016
Relatlve Tense Of Majorana-Weyl-Invariant-Mode
Let us say that one were to have a specific tense of a Majorana-Weyl-Invariant-Mode, at one proximal locus -- and let us now say that the so-stated local relative Majorana-Weyl-Invariant-Mode were to be then perturbated from its specific cite, at what would here be at the Poicaire level that would involve the alteration of a locally conformally invariant setting -- that had here worked to involve relatively few superstrings of discrete energy quanta, that had worked to perform the initially so-eluded-to condition of a tense of substringular static equilibrium, over time. Let us now reverse fractal this to a larger setting of physical eigenmembers (a higher Hodge-Index of substringular eigenmembers) -- that would, instead, work to involve a set of molecules -- that would here be undergoing a tense of static equilibrium, over a sequential series of group-related instantons. Let us say that there were -- from within the so-stated set of molecules -- a spontaneous condition of the alteration and the re-alteration of eigenmetrics of internally-based conformal invariance, even though the overall physical state of the condition of the said set of molecules may be said to be of a relative tense of conformal invariance, since what may here be deemed of as the overall tense of the superstrings that would here be working to form a tense of static equilibrium amongst the overall set of molecules, may then be said to be non-perturbative as a whole, to where the overall physical condition of the said set of molecules may be thought of as working to then bear a reverse-fractal of a tense of a Majorana-Weyl-Invariant-Mode, over the so-eluded-to duration in which the so-stated molecules of such a case were to here be undergoing the said tense of a given arbitrary respective state of static equilibrium. So, what one may then work to consider as a physical state that is as being of a relative case of a tense of Majorana-Weyl-Invariance -- is, in part, able to be determined by what one would then work to define of as the Ward-Caucy conditions of that general locus, by which one is to then be working to define, when this is taken in terms of as to what the overall physical boundaries are -- of the so-eluded-to perturbation that one is to here be extrapolating, as an instant under consideration of any of such a respective given case scenario. I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
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eigenmetrics,
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Majorana-Weyl-Invariant-Mode,
Poincaire,
superstrings,
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Tuesday, January 5, 2016
The Main Genus Of Centralized Knotting
The multiplicit Higgs Boson eigenstate bears a mass that is about 126 times that of a proton. The mass-bearing core-field-density of a Higgs Boson eigenstate is much higher than the mass-bearing core-field-density of a proton. This works to cause the condition -- that, a Higgs Boson eigenstate has much more of a tense of a centralized knotting than the physical state of a proton, when both the multiplicit Higgs Boson eigenstate and the multiplicit proton are to be compared at their multivarious-based respective given arbitrary Majorana-Weyl-Invariant-based settings. This is due to the condition, that, the Higgs Boson is that tense or genus of holonomic substrate -- that is utilized in so as to work to move the Klein Bottle -- in so as to bring the correlative respective Kahler-Metric into the general region of superstrings, in so as to work to allow for discrete energy to re-attain their fractals of the said discrete energy quanta, in order that discrete energy may be able to both persist and continue to exist, over time. It is then eminent, that the multiplicit Klein Bottle eigenstates are to remain tied, in a homotopic manner, to their respective correlative Higgs Boson-based eigenstates -- in so long as the directly corresponding substringular phenomenology is to remain unfrayed. This is because, even though a proton may often undergo the weak force -- which is the radioactive decay of an atom, it is still pervasive, that, in order for any respective given arbitrary Majorana-Weyl-Invariant-based region to be able to both persist and continue to exist over any given respective successive series of iterations of group-related instantons -- that that particular genus of activity, that must be needed in order for discrete energy to keep re-attaining those fractals of discrete energy quanta, that are needed in order for energy to not fade-out of being actual energy -- must be able to continue to be able to happen, even if any of such respective Majorana-Weyl-Invariant-based regions are to undergo the so-stated radioactive decay in a spontaneous-based manner. Such a needed venue for a necessary additional Hodge-Index of homotopic residue, will then tend to work to require an additional Hodge-Index of what may be termed of as eigenstates of a centralized knotting. The more of a Laplacian-based condition that is to exist, as a state or a genus of an additional centralized knotting, is likewise going to tend to work to be indicated by a Laplacian-based condition of such a proximal locus -- that works to bear a higher scalar magnitude of mass-bearing states. The higher the mass that is to exist in a relatively confined region -- the more of a centralized knotting that is to then exist in the so-eluded-to Ward-Neumman-based region, in which such a higher mass is to kinematically exist at, over time. Or, another way of looking at it -- the more of a Hodge-Index of centralized knotting that there is needed to exist per density of as to where such a so-stated additional scalar magnitude of inter-webbed mini-stringular segmentation is to exist in, in order for the proximal local space-time-fabric to not be frayed -- the higher that the mass will be, that is most directly involved with the correlative eigenstates of the said proximal local region in which such an additional tightness of inter-twined mini-stringular fabric is to be Poincaire at, to where then, the higher that the density of the membranes of homotopic residue that will then exist at the so-stated respective given arbitrary set locus of Majorana-Weyl-Invariant-based mode will then tend to be. I will continue with the suspense later!
To Be Continued! Sincerely, Sam Roach.
To Be Continued! Sincerely, Sam Roach.
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eigenstate,
Higgs Boson,
Kahler-Metric,
Klein Bottle,
Laplacian,
Majorana-Weyl-Invariant-Mode,
Poincaire
Wednesday, December 23, 2015
As To A Gliosis-Based Abelian Strike
When there is a Gliosis-Sherk-Olive cohomological-based pattern, that is formed by the physical memory of the conformally invariant motion of a set of superstrings of discrete energy permittivity -- the so-eluded-to ghost-based pattern will be of a mappable tracing, that, if this is not perturbated by an external source, will tend to be in a positioning that is relatively stationary in its Majorana-Weyl-Invariant-based mode. Let us now say that the so-stated Gliosis-Sherk-Olive ghost-based pattern that I have mentioned here, works to bear an external-based core-field-density, that works to bear an abelian geometry, in retrospect to its exterior Yukawa-based field. Let us now say that there will be an incoming relatively reverse-holomorphic set of norm-state-projections, that will be heading towards the Gliosis-based field of the said respective given arbitrary Gliosis-Sherk-Olive cohomological-based pattern, that is of this given case scenario. Let us now say that one is looking, in a Laplacian-based manner, in the holomorphic direction - from the relatively general holomorphic end of the so-eluded-to ghost-based pattern of the so-eluded-to orbifold -- that had just operated in so as to perform one specific function in the substringular, up until the said respective given arbitrary orbifold had perturbated out of the general but specific locus in which it had existed in a tense of conformal invariance -- at the initially so-stated tense of Majorana-Weyl-Invariant-Mode, that I had mentioned at the beginning of this given post. Let us now say that the whole ghost-based pattern of the said Gliosis-Sherk-Olive mappable tracing -- was to bear a "perfectly" trivially isomorphic chirality with the said incoming relatively reverse-holomorphic moving set of norm-state-projections -- to where each of the so-eluded-to ghost-based indices of the said physical memory of the orbifold is to match an antiholomorphic ghost-based index of the said relatively reverse-holomorphic moving set of norm-state-projection, as the impending collision is about to happen in a dot-product-based manner -- at the Poincaire level of the holomorphic end of the ghost-based pattern that was formed by the so-stated orbifold, that had worked to form the so-eluded-to physical memory of the Hamiltonian operator that had just been perturbated-out of the general locus of where the impending collision is about to happen. Let us, as well, say, that the topological edges of the said reverse-holomorphic set of norm-state-projections is to bear an abelian geometry, towards the core-field-density that is just external to the Gliosis-based field, that is at the Poincaire level to the interior of what is about to be the group-metrical activity of a substringular collision of integrative ghost-based eigenindices. Let us now say that the Hodge-Index of both of the individually taken so-eluded-to sets of integrative norm-state-projections is of the same discrete quantum. This will then cause there to be a tendency, to where, the two integrative sets of norm-state-projections will often here completely scatter in a Rayleigh-based scattering, on account of both the conditions that this will be an annharmonic scattering, and, also because such a scattering will work to cause the adjacent eigenmembers that are displaced in a perturbative manner, to be of an odd chirality -- at the Poincaire level to the point commutators that are hewn-in by the activity of that inter-connective fabric of mini-stringular segmentation, that is involved with the homotopic interplay of the directly corresponding norm-state-projections -- that work to form the correlative and needed interconnection of substringular field-density, that works to reverse-fractal into the activity of the condition of the multiplicit existence of Cassimer Invariance.
To Be Continued! I will continue with the suspense later! Sincerely, Sam Roach.
To Be Continued! I will continue with the suspense later! Sincerely, Sam Roach.
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Cassimer Invariance,
Gliosis,
Majorana-Weyl-Invariance,
orbifold,
Poincaire,
superstrings,
Yukawa
Monday, December 21, 2015
As To Two Approaching Abelian Edges Of Cohomology
Let us here consider the Fourier-based transformation, that would here work to involve two different cohomological settings that are here being pulled into one another -- over a directly corresponding sequential series of iterations of group-related instanton. Let us here consider as well, that the two different said respective given arbitrary cohomological settings -- that are being displaced in the general manner that I have here described, are being drawn towards one another from the opposite direction -- the given arbitrary initial cohomological setting is moving towards the given arbitrary secondary cohomological setting, over a discrete period of time. As an ansantz, this would then mean that the two said given arbitrary individually taken sets of ghost anomalies, are then in the process of making a "head-one" collision -- once that the two so-stated covariant sets of ghost anomalies have achieved a Gliosis-based contact with one another, over the course of the initially stated Fourier-based transformation in which such an operation of the kinematic displacement of the two different said cohomological settings is to have happened, over the so-eluded-to group metric of substringular operators that would here be of a direct correspondence with the said situation has transpired. Let us now say that the two so-stated different cohomological settings that have here been kinematically displacesd -- in such a manner, to where these are brought from opposite directions (in a parity that would here work to involve two reverse-holomorphic directoral-based Lagrangian-affiliated topological genre of flow), up until these come into a direct contact in a Gliosis-based manner -- will work to bear a Laplacian-Transfomration-based tense of a trivially isomorphic chirality of Ward-Caucy-based eigenmembers. This will be due to the condition, that we are here dealing with two different covariant physical memories -- of what would here be the kinematic displacement of the integrative ghost anomalies of two different covariant orbifolds, that would here appertain to the antiholomorphic flow of the physical memory of two kinematic sets of two different sets of superstrings -- that operate in so as to perform two different functions in the substringular. Let us now say, that, even though the two said sets of ghost anomalies would then tend to scatter upon each other to an extent, that there would still be a remaining quantum of cohomological-based setting, that would then tend to persist after the so-stated collision of the two said sets of integrative sets of ghost anomalies have struck each other in a Gliosis-based manner. Let us now say that the Gliosis-based impact of the two so-stated trivially isomorphic sets of integrative ghost anomalies, will work to bear a flow, at the interior to the so-stated reverse-holomorhic-based Lagrangian topological pulsation of the said cohomological pull, that may be described of as having the quality of an abelian edge -- at the kinematic end of the said displaced individually taken ghost-based patterns, that are to here make a direct contact towards the interior locus of the said topological wave-tug/wave-pull. Let us now say that one of the said cohomological settings that is approaching the other, works to bear a larger Hodge-based index of scalar magnitude of Hamiltonian operation than the other. Let us then consider, that, otherwise, the consideration of a trivially isomorphic symmetry of the respective given arbitrary initial set of ghost anomalies -- that is of a larger quantum of substringular eigenmembers in Hamiltonian operation than the second so-stated set of displaced cohomological-based setting, is the only viable difference in the manner of the so-stated Fourier-based transformation -- that would here be involved with the drawing of the two sets of ghost anomalies toward one another. This would then mean that the resultant topological flow of the so-eluded-to displacement of ghost anomalies would tend to go in the direction of the larger set of ghost anomalies -- to where the resulting Hamiltonian operation of ghost-based indices would then tend to go in the direction of the larger scalar magnitude of Hodge-based cohomological index, once that the so-eluded-to Gliosis contact of such a cased has been achieved, at the Poincaire level. I will continue with the suspense later! To Be Continued! Sincerely, Sam.
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abelian,
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Gliosis,
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Friday, December 18, 2015
As To The Rarita Structure And Calabi-Yau Manifolds
Most phenomenology that we generally conceive of, is comprised of mass-bearing superstrings that are of the nature of what are either electrons, protons, or neutrons. This is not when considering the condition of neutrinos. Individually taken protons, are comprised of two quarks that are bound to one lepton -- via the bonding activity of what are known of as gluons. Individually taken neutrons are comprised of one quark that is bound to two leptons -- via the bonding activity of what are known of as gluons. Individually taken electrons are comprised of three leptons that are bound to one another -- via the bonding activity of another genus of of phenomenology that is similar to what are known of as gluons. Certain phenomenology that is similar but different from mesons, particularly gluons, work to operate in so as to form that activity that is known of as the strong force. This so-stated general genre that works to inter-bind sub-atomic particles, such as how gluons work to inter-bind certain sub-atomic particles, are the general genus of the substringualr phenomenology -- that is of that holonomic substrate, that may be denoted as the respective given arbitrary eigenstates of the centralized knotting of the Rarita Structure. When individually taken photons -- of which are the discrete bosonic superstrings of electromagnetic energy -- act, in so as to strike the core-field-density of any given arbitrary mass-bearing superstring, in such a way that is of a Gliosis-based manner, the resulting general genus of interaction may be then described of as a Calabi-Yau interaction. This then means -- that the general genus of the manifold of any given arbitrary respective mass-bearing superstring of discrete energy permittivity, may be described of as a Calabi-Yau manifold. In general -- the holonomic substrate that would then directly correspond to the Laplacian-based existence, of a manifold of a mass-bearing superstring of such a said nature -- is one in which the activity of phenomenology such as gluons, via the strong force, is within the Ward-Neumman bounds of its said substringular-based composition. This then means that the individually taken Calabi-Yau manifolds, tend to be a manifold -- in which the existence of the activity of particle-based phenomenology such as gluons, is Gloisis to the "heart" of the so-eluded-to construction of such a so-stated general membranous texture of substringular phenomenology. This, as well, then means that inter-bound orbifold eigensets -- that work to bear eigenstates of the centralized knotting of the directly corresponding Rarita Structure delineations -- that are Yukawa to them, at the Poincare level, are ones of such -- to where, when an individually taken discrete quantum of electromagnetic energy is to strike the core-field density of such a general classification of substringular phenomenology in a Gliosis-based manner at the said discrete Poincare level, the resulting interaction will be of the nature of a Calabi-Yau interaction. I will continue with the suspense later!!!
To Be Continued! Sincerely, Sam Roach.
To Be Continued! Sincerely, Sam Roach.
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bosons,
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Tuesday, December 8, 2015
Some Knowledge As To Yang-Mills Light-Cone-Gauge Topology
When one is to consider a one-dimensional superstring of discrete energy permittivity at BRST -- the directly corresponding first-ordered light-cone-gauge eigenstate that is correlative to the said superstring, works to bear five second-ordered light-cone-gauge eigenstates, that are here incorporated into the so-stated first-ordered light-cone-gauge eigenstate. Each of such so-eluded-to second-ordered light-cone-gauge eigenstates here will work to bear the Laplacian-based existence of having 120 correlative cites, during the correlative course of any respective given arbitrary iteration of BRST, where the directly corresponding gauge-bosons that are directly affiliated with the directly corresponding superstring will act upon the said second-ordered light in such a Gliosis-based manner at the Poincaire level, in so as to "pluck" the so-stated cites -- in so as to work to form the here necessary 600 third-ordered Schwinger-Indices, that are formed by the wave-functional activity of the correlative cite of discrete energy impedance, that are Yukawa to the eigenbase of the operational-based performance of the said correlative one-dimensional superstring of discrete energy permittivity, that is of any given arbitrary case in which such an implied source of discrete energy is unfrayed during the so-eluded course of the said iteration of BRST. Yet, if instead, one is here to consider a two-dimensional superstring of discrete energy permititivty at BRST -- the superstring will bear a first-ordered light-cone-gauge eigenstate that is comprised of ten second-ordered light-cone-gauge eigenstates, to where each of such individually taken second-ordered eigenstates will bear only 60 cites where the so-eluded-to third-ordered Schwinger-Indices will be formed -- in so that the overall first-ordered light-cone-gauge eigenstate of such a case will then, as well, work to bear a total of 600 third-ordered Schwinger-Indices, that are directly corresponding to the here correlative discrete quanta of energy.
If both of the here said general examples of first-ordered light-cone-gauge eigenstates are of a Yang-Mills light-cone-gauge topological-based construction -- there will initially have a consideration here of any of such so-eluded second-ordered light-cone-gauge eigenstates, that work to comprise the here so-mentioned first-ordered eigenstates, as bearing 60 Laplacian-based physically oriented sinusoidal-based oscillations that are existent at the general cite of the second-ordered light-cone-gauge eigenstates, that would here directly correspond to the Yukawa-based contact that is involved with the covariant differentiation of two-dimensional superstrings of discrete energy permittivity, in so as to be of the 60 cites per each of the second-ordered-light-cone-gauge eigenstates for the correlative gauge-bosons to be able to pluck the light-cone-gauge. When the correlative gauge-bosons work to "pluck" the here so-eluded-to sixty cites per second-ordered light-cone-gauge eigenstate of such a respective discrete quanta of energy -- the said plucking is initiated at the topological surface of the relative trough of each of the said sixty so-eluded-to Laplacian-based oscillations per second-ordered light-cone-gauge eigenstate, that are of the said Yang-Mills topology. Since two-dimensional superstrings work to bear 10 second-ordered light-cone-gauge eigenstates each, this would then involve a total of 600 of such cites, overall. This reverse-intuitive manner of plucking will then act as a springing mechanism, in so as to help to pull the so-stated correlative two-dimensional superstring of discrete energy permittivity into the generally unnoticed duration of Ultimon Flow. (Along with what I call the Imaginary Exchange of Real Residue.) Actually, it is such a springing effect -- that acts upon the so-eluded-to Clifford Expansion of the correlative light-cone-gauge -- that works to cause the here implied "woddle" of superstrings, that is pertinent to the so-stated Imaginary Exchange of Real Residue. The same general genus of activity happens with one-dimensional superstrings, that are of a Yang-Mills topology -- except that this will instead act upon the 120 cites of Laplacian-based oscillation per what would instead be the 120 cites where the correlative gauge-bosons would act upon the correlative loci of the so-stated second-ordered light-cone-gauge eigenstates (as before, though, this would involve a total of 600 cites overall (120*5 = 600)) -- in so as to cause the same general effect of a springing-based activity that is Gliosis to the topological surface of the light-cone-gauge at the Poincaire level -- in so as to help in the process of causing the Hamiltonian-based drive of putting superstrings into the generally unnoticed duration of the process of Ultimon Flow.
I will continue with the supsense later! To Be Continued! Sincerely, Sam Roach.
If both of the here said general examples of first-ordered light-cone-gauge eigenstates are of a Yang-Mills light-cone-gauge topological-based construction -- there will initially have a consideration here of any of such so-eluded second-ordered light-cone-gauge eigenstates, that work to comprise the here so-mentioned first-ordered eigenstates, as bearing 60 Laplacian-based physically oriented sinusoidal-based oscillations that are existent at the general cite of the second-ordered light-cone-gauge eigenstates, that would here directly correspond to the Yukawa-based contact that is involved with the covariant differentiation of two-dimensional superstrings of discrete energy permittivity, in so as to be of the 60 cites per each of the second-ordered-light-cone-gauge eigenstates for the correlative gauge-bosons to be able to pluck the light-cone-gauge. When the correlative gauge-bosons work to "pluck" the here so-eluded-to sixty cites per second-ordered light-cone-gauge eigenstate of such a respective discrete quanta of energy -- the said plucking is initiated at the topological surface of the relative trough of each of the said sixty so-eluded-to Laplacian-based oscillations per second-ordered light-cone-gauge eigenstate, that are of the said Yang-Mills topology. Since two-dimensional superstrings work to bear 10 second-ordered light-cone-gauge eigenstates each, this would then involve a total of 600 of such cites, overall. This reverse-intuitive manner of plucking will then act as a springing mechanism, in so as to help to pull the so-stated correlative two-dimensional superstring of discrete energy permittivity into the generally unnoticed duration of Ultimon Flow. (Along with what I call the Imaginary Exchange of Real Residue.) Actually, it is such a springing effect -- that acts upon the so-eluded-to Clifford Expansion of the correlative light-cone-gauge -- that works to cause the here implied "woddle" of superstrings, that is pertinent to the so-stated Imaginary Exchange of Real Residue. The same general genus of activity happens with one-dimensional superstrings, that are of a Yang-Mills topology -- except that this will instead act upon the 120 cites of Laplacian-based oscillation per what would instead be the 120 cites where the correlative gauge-bosons would act upon the correlative loci of the so-stated second-ordered light-cone-gauge eigenstates (as before, though, this would involve a total of 600 cites overall (120*5 = 600)) -- in so as to cause the same general effect of a springing-based activity that is Gliosis to the topological surface of the light-cone-gauge at the Poincaire level -- in so as to help in the process of causing the Hamiltonian-based drive of putting superstrings into the generally unnoticed duration of the process of Ultimon Flow.
I will continue with the supsense later! To Be Continued! Sincerely, Sam Roach.
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Thursday, November 5, 2015
A Little Bit About Certain GSO Ghosts
As I was starting to discuss in my last post -- the general genus as to the shape or the morphological texture, that is most directly appertaining to the Ward-Neumman and/or the Ward-Caucy contour of a mass-bearing superstring of discrete energy permittivity -- that is of an electron, versus the shape or the morphological texture that is most directly appertaining to the Ward-Neumman and/or the Ward-Caucy contour of a mass-bearing superstring of discrete energy permittivity -- that is here of a proton, is, in effect, two different individual classes of shape-based structural formats. I have earlier worked to describe some hinting, as to the general shape-based texture of the cohomologial-based topological contour of the said mass-bearing strings of an electron, yet, here are some extrapolation-based hints as to the comparison of the just-mentioned case that is to be contrasted with the general condition of the mass-bearing strings of what would here be a respective given arbitrary proton -- that may be hypothetically of the same pairing of an atom (in this given case). Here: Take a postulative filled circle that is centered just above the central region of a given arbitrary xyz plane. Next, center another filled circle that is centered just below the same central region of a given arbitrary xyz plane, as before. Next, form a postualtive-based filled homeomorphic concavity for both the front and the back of each of the said so-stated circles, that is of a tightly-knit Laplacian-based restriction as to the scalar amplitude of the size of its relative field, on all four total sides -- each of which belongs as the respective front-side and the respective back-side of the two said individually taken filled circles at hand. Next, consider the flow of the relative norm-to-holomorphic (relative top) so-eluded-to disc-like phenomenology to be moving radially, yet in a manner that tends to bear a wave-tug/wave-pull that is into the page. Simultaneously (via the vantage-point of a central conipoint), consider the flow of the respective reverse-norm-to-holomorphic (relative bottom) so-eluded-to disc-like phenomenology to be moving radially, yet in a manner that tends to bear a wave-tug/wave-pull that is out of the page. Now, what one is to do here -- is to integrate the last two just mentioned Laplacian-based topological flows, that I have just described. Integrate this torus-like phenomenon into one more elongated spatial dimension -- arbitrarily say, axial l, with a directoral basis that would here be directly associated with an "l hat." This torus-like structure, will, as well, bear an annulus that is positioned relatively proximal to the horizontal axis -- to where the holomorphic-based cohomological mapping of the said annulus would be from the positive horizontal direction to the negative horizontal direction. This cohomological-based venue for a respective given ghost-based mappable tracing -- would tend to not bear any deciduous conical embellishments at the Ward-Neumman extrapolation, that may be Gliosis to the outer contour at the Poincaire level of any respective given arbitrary GSO ghost -- that is of this just-stated given arbitrary case. Next, integrate the Laplacian-based mer of the just-stated general genus of a GSO ghost-based mappable tracing -- into the direction of the proscribed Lagrangian-based path, that corresponds to its correlative Hamiltonian operand, that is of such a unique and special case. This is similar but different to the actual case of the mass-bearing superstrings of the f-field of a proton. I will continue with the suspense later! To Be Continued! Sam Roach.
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Tuesday, November 3, 2015
More As To Certain GSO ghosts
During the course of the last post -- I gradually introduced my readers, to a general idea (similar but different to an actual case) -- as to the nature of the genus of the mass-bearing superstrings -- that would be here associated with the d-field of a respective given arbitrary electron. What I will introduce next -- is a little bit about the general idea as to the nature of the genus of the mass-bearing superstrings, that would be here associated with the f-field of a respective given arbitrary proton. The cohomological indices -- that are formed by that motion of the directly respective norm-state-projectionis -- that work to form those ghost anomalies that work to act as the physical memory of the directly corresponding superstrings of discrete energy permittivity, -- when one is dealing with the extrapolated ghost-based indices that are thus formed by the physical memory of any given arbitrary two-dimensional superstrings of discrete energy permittivity, work to form what may be here termed of as GSO (Gliosis-Sherk-Olive) ghosts. The GSO ghosts -- that are formed by the physical memory of both the existence and the motion of the mass-bearing superstrings that are correlative to the condition of the d-field of an electron, when such a respective electron is undergoing a Ward-Caucy condition of Majorana-Weyl-Invariance -- tend to be shaped in such a toroidal-based manner, in so that the Laplacian-based existence of an edge-bearing topological condition of an exterial conical-based contour -- will tend to be incorporated to the outer surface area of the so-eluded-to GSO ghost -- in a manner that is Gliosis to the so-stated toroidal condition of the said ghost-based index, at the Poincaire level as to the so-mentioned outer surface of the said cohomological-based index. I will continue with a little bit of a comparison of what I have just mentioned here, with the general Ward-Caucy-based conditions that are applicable to the nature of those mass-bearing superstrings that are of the f-field of a proton. I will continue with the suspense later! To Be Continued! Sam Roach.
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Thursday, October 1, 2015
Some Information As To The Big-Bang
Imagine a balloon that is being being inflated. Take this as an analogy to the expansion of our Universe. In an allegorical-based manner, as our Universe is being expanded -- everywhere along the outer topology of the here expanded Universe, at the multiplicit so-infered locus that is Gliossi to the so-eluded-to surface that is here being expanded, at the Poincaire level, this is where the Big-Bang happened, is happening, and will always be happening -- in so long as we have the Universe in which we live. This is the main reason as to why, in a very real sense, there is no center or edge to neither our Universe -- nor to any Universe of the Multiverse. Incidently, everywhere where you go in our Universe -- within about 1 millimeter from any spot that you can imagine, where there are superstrings of discrete energy permittivity -- there is phenomenological-based indices from all of the kinematic-based Universes that are of our set of parallel Universes. As well, everywhere where you go in our Universe -- within about 3 millimeters from any spot that you can imagine, where there are superstrings of discrete energy permittivity -- there is phenomenological-based indices of residue that are from all of the kinematic-based universes that are of all of the Universes of our Multiverse. This is not, though, including any external mirroring of either our set of universes, nor is this including any external mirroring of the overall set of universes of our Multiverse.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
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Wednesday, September 30, 2015
The Third Part of Session 10 of Course 19 -- The Klein Bottle and Orbifold Differentiation
If any given arbitrary sub-atomic particle acts as an orbifold eigenset, that works to bear a core-field-density via its respective Laplacian Transformation -- that exists as an F-field, in time and space -- then, if the directly corresponding spatial parameters of dimensionality that work to bear both a respective given arbitrary length, width, thickness, plus a Njenhuis tensoric spatial parameter of dimensionality -- that is correlative to an orbital-based coniaxion, then, there will resultantly tend to be no added Njenhuis tensoric spatial parameters of dimensionality -- that would otherwise be respectively corresponding to either: an added Gliossi-oriented spin-based coniaxion upon the holonomic substrate of the said F-field at the Poincaire level, an added Gliossi-oriented radial-based coniaxion upon the holonomic substrate of the said F-field at the Poincaire level , nor, would there be a respective corresponding added Gliossi-oriented transversel-based coniaxion upon the holonomic substrate of the said F-field at the Poincaire level, each of which would then act (as I have said, if this were Not directly of the nature of an F-field) in so as to behave as an individually taken Njenhuis tensoric spatial parameter of dimensionality, in time and space. This is because of the respective given arbitrary situation, in this case, that we are dealing with a postulative F-field, and, an F-field only works to describe a Laplacian-based sub-atomic field that would tend to directly involve four spatial parameters of dimensionality -- over the course of the said Laplacian-based set of conditions. Yet, if one were to consider the said orbifold eigenset as, instead, differentiating over a Fourier-based transformation, over time, then, if the so-stated orbifold eigenset were to move into a perturbative environment, that would then involve an overt alteration in its Gausssian-based eigenbase of the index of its correlative Majorana-Weyl-Invariant-Mode -- then, the so-mentioned F-field would then possibley be moving through a Lagrangian, in the process of the holonomic substrate of the said F-field acting as a Hamiltonian operator moving through its correlative Hamiltonian operand, work to bear an external decompactification of spatial dimensionality -- that would then help the said F-field to bear a potential spatial orientation with either a spinor-based coniaxion, a radial-based coniaxion, and/or a transversel-based coniaxion -- as the so-stated F-field is to move in a kinematic manner, over time. Such coniaxions that I have just mentioned, may be thought of as a tense of cyclic permutative indices of decompactification. Yet, the Poincaire-based presence of such permutative indices would theoretically be of a relatively transient nature.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
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Tuesday, August 4, 2015
E(8)XE(8) strings versus E(6)XE(6) strings
The difference between a gauge-boson (an E(6)XE(6) string), and a heterotic string that is of the nature of an E(8)XE(8) string -- is that gauge-bosons operate, in a Gliossis manner, upon the field that is immediately at the Poincaire level of any respective given arbitrary light-cone-gauge eigenstate, whereas, E(8)XE(8) strings are an example of a heterotic string, that are proximally local at the Poincaire level, that is right at the immediate exterior locus of orbifolds -- in so as to help in the Fourier-based activity -- that would here work to bind the so-stated orbifolds into orbifold eigensets.
To Be Continued! Sincerely, Sam Roach. Please read my corrected immediately previous post!
To Be Continued! Sincerely, Sam Roach. Please read my corrected immediately previous post!
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Saturday, August 1, 2015
Part Four of Session Five of Course 19 -- The Klein Bottle and Orbifold Differentiaition
The homotopic eigenbase of the conformally invariant-based, or steady-state, field, of any given arbitrary orbifold eigenset, is the Ward-Caucy-based covariant, codeterminable, and codifferentiable existence -- and also the Fourier-based activity -- of the directly corresponding Majorana-Weyl-related fluctuation of the so-eluded-to Ward-Caucy-based topological sway, that is of the summed respective given arbitrary substringular eigenmembers -- that have come together or integrated, in so as to operate as one Gaussian-based stratum of Hamiltonian Operators, that are here put into a covariant, codeterminable, and a codifferentiable locus. This so-stated fluctuation, is here, locally, in a state of a relatively steady-state-based functionablity. (This is the case -- whether there is a larger substringular neighborhood that this belongs to, that is in less of a state of conformal invariance, or not.) Here is what I mean, by utilizing an alogorical example as an anectdote-based metaphore. Let us say that one is to consider a person who is standing "completely" still on earth. His or Her body is here in a local tense of a relative condition of being in a steady-state-based mode. Yet, the said person exists on a planet that is moving a lot more rapidly in its rate than the so-stated person is moving -- in this case. Likewise, a relatively local Poincare-based substringular neighborhood, may be in a tense of conformal invariance -- even though a more macroscopic or largely considered region -- that is to include the so-eluded-to initially stated substringular neighborhood, may be existent in a less conformally invariant -- or even in a relatively perturbative -- tense of its conditions, of relative covariance, when one is here to consider an observer who would be then considering a more macroscopic external viewpoint.
So, the tense of a relative given arbitrary Majorana-Weyl-Invariant-Mode -- is generally in consideration of the locally covariant Poincaire behavior of substringular events, at the cite of the relatively local environment -- whether or not there is an external perturbative state that is at a less microscopic perspective as to where one is to here consider the eigenbasis of the respective given arbitrary Poincaire level, or not. To Be Continued! I will continue with the suspense later!
Sincerely, Sam Roach.
So, the tense of a relative given arbitrary Majorana-Weyl-Invariant-Mode -- is generally in consideration of the locally covariant Poincaire behavior of substringular events, at the cite of the relatively local environment -- whether or not there is an external perturbative state that is at a less microscopic perspective as to where one is to here consider the eigenbasis of the respective given arbitrary Poincaire level, or not. To Be Continued! I will continue with the suspense later!
Sincerely, Sam Roach.
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Thursday, July 23, 2015
Part Seven of what is the Fourth Session of Course 19 -- The Klein Bottle and Orbifold Differentiatioin
Although the holonomic substrate of any respective given arbitrary Klein Bottle eigenstate is of the surface area-based region of a parallelepiped-like contour -- that is filled with norm-state-projections, and this holonomic substrate works to bear no orientifold-based construction as a physical "top" to such a "box" at its norm-to-holomorphic end, the Cohomological Mappable Tracing of such a "box" is A Semi-Toroidal Construction That Works To Bear A Respective Virtual Tense Of Mobiaty, at the Poincaire level that is to the so-eluded-to core-field-density -- of the said cohomological mappable tracing of the so-stated respective given arbitrary Klein Bottle eigenstate.
To Be Continued! Sincerely, Sam Roach.
To Be Continued! Sincerely, Sam Roach.
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Wednesday, July 8, 2015
Part Four of Session Three of Course 19 -- the Klein Bottle and Orbifold Differentiation
Any given arbitrary Klein Bottle eigenstate, only kinematically differentiates as an operator of the Kaeler Metric -- during the course of each successive iteration of group-related instanton. This is involved with the general Ward-Caucy-based conditionality, that any respective given arbitrary Klein Bottle eigenstate tends to remain in a relatively stable Majorana-Weyl-Invariant manner, during the course of any specific given arbitrary Kaeler Metric -- in which such a Shotky-based construction is being utilized as such -- when not including the wobbling that is involved with the immediately correlative Fourier-based activity of such a so-stated composition of eigenstate, that would be at the Poincaire level of the so-eluded-to composition, that works here in so as to help with the re-attainment of discrete energy. Any respective given arbitrary Klein Bottle eigenstate may -- conditionally depending -- differetiate kinematically, either transversely, radially, and/or in a spin-orbital manner, over the course of any specific given arbitrary iteration of group-related instanton -- that is here directly corresponding to the coherent flow of any directly corresponding flow of a respective given arbitrary Kaeler Metric. Again, the Kaeler Metric, per specifically related cite, is involved in a Gliossi-based manner, to a successive series of 191 consecutive iterations of group-related instanton. Yet, when one is to here extrapolate the overall Kaeler Metric -- when including the whole involvement of the Fischler-Suskind-Mechanism, that is immediately coherent to the motion of any directly corresponding respective given arbitrary Klein Bottle eigenstate -- as it is moving in such a manner in so as to work to help in the re-attainment of discrete energy for any specific cite of superstrings within a substringular neighborhood -- is involved with 384 successive iterations of group-related instanton, -- 381 realatively abelian-based iterations that are Yakawa to the so-eluded-to locus, and 3 iterations that are here directly involved with the needed re-positioning of any correlative Klein Bottle eigenstate. The just mentioned re-positioning is utilized, in so as to work to prepare the said generic Klein Bottle eigenstate of any such case, for a potentially ensuing Kaeler Metric.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
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Tuesday, July 7, 2015
Even More As To The Appendageing of Singularities
All unfrayed substringular phenomena that is kinematic per iteration of group-related instanton, is interconnected by the holonomic substrate of mini-stringular-based phenomenology. So, the existence of homotopy always tends to work to involve the consistent interconnection of superstrings -- through the overall existence of unfrayed space-time-fabric -- by the topological entity of the so-stated mini-stringular phenomenology This works to be the case, per each successive iteration of the said activity of instanton. So, as any set of one or more superstrings is undergoing a specific proximal cite of as to where these so-stated substringular phenomena are undergoing the Kaeler Metric -- the so-eluded-to "appendageing" of singularities, for each of such directly corresponding substringular phenomena -- is done in such a manner in so as to produce a multiplicit condition of the correlative mini-stringular phenomenology, that is most Poincaire to the core-field-density of the said discrete quanta of energy, that are to here work to re-attain their full potential, to be able to move in the direction of being brought into an optimum abelian Ward-Caucy state of differential wave-tug/wave-pull, that is to here be a fractal of a Hamiltonian operation that is to here work to form the most locally present ideal conditions for the said discrete quanta of energy to be most free in their ability to be translated as eigenstates in their directly corresponding Hamiltonian operands of spatial freedom.
To Be Continued! I will continue with the suspense later! Sincerely, Sam Roach.
To Be Continued! I will continue with the suspense later! Sincerely, Sam Roach.
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Friday, June 26, 2015
Part Six of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation
When one is to examine the extrapolation of that general cohomological patterning of any respective given arbitrary Klein Bottle eigenstate -- that is to here be directly corresponding to the integration of certain given arbitrary ghost-based indices, that would here work to form the physical memory of both the existence and the motion of the so-stated Klein Bottle eigenstate of this respective given arbitrary case, since the said Klein Bottle eigenstate, as always, is in constant discrete motion from one iteration of group instanton to the next, the mappable tracing of this so-stated eigenstate of the Klein Bottle will never Appear through such an eluded-to extrapolation to be of the general morphological genus to be of a parallelepiped nature -- even though the actually Ward-Neumman topological-based contour of any unfrayed given arbitrary Klein Bottle eigenstate will always work to bear a parallelepiped shape that has no viable enclosement at its relatively norm-to-holomorphic directoral-based homotopic bearings. So, the mappable tracing of any respective given arbitrary Klein Bottle eigenstate will always tend to bear the respective resultant composition-based contour, that would here involve an indication of both the covariant-based kinematic integration of the directly corresponding Fourier-based indices -- as well as working to bear the respective Majorana-Weyl-Invariant-based integration of the directly corresponding Laplacian-based indices. As implied before, this is an extrapolation of what may here be inductive in reading -- over the implementation of any coherent gauge-metric that may be taken at the Poincaire level of the said Klein Bottle eigenstate.
Next time -- how the activity of gauge-transformation eigenmetrics work to effect the topological-based extrapolation of the mappable tracing of the here correlatively speaking Klein Bottle eigenstates.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
Next time -- how the activity of gauge-transformation eigenmetrics work to effect the topological-based extrapolation of the mappable tracing of the here correlatively speaking Klein Bottle eigenstates.
I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.
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