Showing posts with label metrical-gauge. Show all posts
Showing posts with label metrical-gauge. Show all posts

Friday, March 30, 2018

Part Two About Electrons And Cohomological Generation

Let us initially consider an electron -- that is here to be accelerated through a given arbitrary conductive cable, as a metrical-gauge-related Hamiltonian operator, that is to be propagated through its respective Hamiltonian operand -- along the trajectory of its correlative Lagrangian-based path, over an evenly-gauged Hamiltonian eigenmetric.  Let us next consider, that the conductance of the material that is here to work to comprise the general magnetism, in which the said electron of this respective case is to be tugged into an electrical flow -- by the translation of the activity of its valence bands -- is to increase in its scalar magnitude, over the Fourier Transformation in which the electron is to go through the process of being transferred through the said respective Hamiltonian operand, in a manner that is Lagrangian-wise hermitian over time.  Since the said electron is here to be accelerated -- the pulse of that just mentioned electron will be amplified in a Ward-Cauchy-related manner, along the course of the propagation of the said electron across its correlative valence bands.  This will then work to indicate, that this will then involve a set of metrical-based Chern-Simons singularities.  As this is to occur, let's say that things happen, to where the acceleration of the said electron is to be maintained in its scalar translation over time, -- in spite of the added conductivity.  This will then work to cause an increase in the generation of its charge over time, -- and thus, this will then work to cause an increase in its cohomological generation over time.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Monday, January 1, 2018

Changes In Isotropic Stability

If an open substringular loop that is to initially be relatively rigid and thereby isotropically stable, is to  be loosened in the condition of the topological sway of its dimensional symmetry -- and thereby to become isotropically unstable -- then, such a Ward-Cauchy-related phenomenon is to more likely to be able to end-up being shut into a closed-loop, as a Hamiltonian operator of the metrical-gauge-related tense.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, December 6, 2017

Part Two As To Coupled Cohomologies

Let's initially take into consideration two different distinct orbifold eigensets, to where both of these said eigensets are here to be undergoing their respective Fourier Transforms in a manner, that is both covariant, codifferentiable, and codeterminable -- over an evenly gauged Hamiltonian operation.  Both of these said respective orbifold eigensets, are here to bear two individually taken Rham cohomologies -- as well as the condition that these orbifold eigensets are here to be undergoing their respective tenses of the general processes of a Majorana-Weyl-Invariant-Mode.  Next, let us say here, that there is to soon be the eminent presence of a group-attractor, that is here to be Yukawa to both of the said orbifold-related phenomena.  These orbifold eigensets are here to be proximal local, as well as to here to be consistently of the same layer of reality.  The earlier mentioned group-attractor is here to bring about a certain Cevita interaction upon the two said eigensets, by drawing both of the initially eminent Rham cohomologies out of their respective tenses of Majorana-Weyl-Invariance -- over a transient span of a sequential series of group-related instantons.  Consequently, both of the earlier mentioned Rham cohomologies, will soon alter in so as to then to become of the nature of two initially distinct Doubolt cohomologies.  After an ensuing relatively brief number of instantons after the so-inferred Rayleigh-related cohomological perturbation, the two spurious respective Doubolt cohomologies will then often be of the nature -- in so as to potentially tend to couple into one overall cohomology.  If the activity of such a coupling, is to bring about a Reimman scattering of  cohomological eigenindices -- that are to tug the two initially adjacent Chern-Simons cohomologies into a tense of to then to work in such a manner, in so as to become of one Rham-based cohomological holonomic substrate, then, the resultant Wess-Zumino interaction will then often tend to work to form a dual state of metrical-gauge-related Hamiltonian operators -- that work here to form one overall tense of a Majorana-Weyl-Invariant-Mode. 
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, November 7, 2017

A Little As To Chern-Simons Cusps

Let's consider an orbifold eigenset, that is here being translated as a discrete metrical-gauge-based Hamiltonian operator -- that is here to transcribe a discrete Lagrangian path of concavity, that is primarily of a concave-up nature, -- to where such a transcription of a cohomological mappable-tracing of a discrete Lagrangian path, is here to be hermitian along such a so-eluded-to gauged-metric, when this is taken in both a Lagrangian-based manner, as well as also in a metrical-based manner, too.  This will then work to mean that such a translation of cohomology at this point in spanned duration, will work to bear no Chern-Simons singularities.  At some point along the projected trajectory of the orbifold, -- as the said orbifold eigenset is here to be mapping-out a primarily generative cohomology, that is here to be smooth in both its euclidean-based and in its homotopic-based torsional eigenindices, -- the discrete Lagrangian-based concavity, that is here to be consequently transcribed, will then be spontaneously perturbated into a Lagrangian-based spike, that will here work to cause the so-stated orbifold eigenset to then change in more derivatives than the number of spatital dimensions that it is moving through.  This eminent Ward-Cauchy-based condition -- of a set of consequent Lagrangian-based Chern-Simons singularities, will then tend to be proximal local to the holonomic substrate of the correlatve orbifold eigenset -- to where there will also tend to be the simultaneous presence of a set of metrical-based Chern-Simons singularities, -- via the vantage-point of a central conipoint.  The larger the orbifold eigenset is, in terms of the Hodge-Index as to the overall quantum of energy that the said orbifold eigenset is here to be comprised of, -- the more of a potential variety of complex-roots that may possibly be extrapolated by the consequent Chern-Simons-based Fourier Transformation, that is of the then ensuing activity of the said orbifold eigenset, over time.  Such a just mentioned "spike" may be described of as a Chern-Simons-related cusp.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, April 4, 2017

Schwinger-Indices And Mini-Stringular Segmentation

Let us initially consider one given arbitrary relatively compactified "collage" of mini-stringular segmentation -- that is to here be vibrating as one discrete metrical-gauge-based Hamiltonian operator, in which that specific example of an initial disturbance in space, that had must been enacted upon the so-stated integrative conglomeration of mini-stringular segmentation, in so as to help in working to form a tense of that general genus of a Ward-Caucy-based vibrational oscillation, that could be described of as being gravity waves in such a case, may then be thought of as a propagation of Schwinger-Indices, that are to here, ripple -- from the time-based locus as to when the so-eluded-to covariant, codifferentiable, and codeterminable "collage" of mini-stringular segmentation had absorbed the earlier mentioned disturbance in space, in a Fourier-based manner as a kinematic Hamiltonian operand, that as well will here act as a Hamiltonian operator, due to the here exasperative fluctuation of wave-based eigenstates, that are to here be perturbated, due to the metrical activity of the initial said disturbance -- up to the latter positioned holonomic substrate, that in of that ensuing Lagrangian-based Hamiltonian operand, in which that holonomic substrate-based phenomenology that is to here act as the then remaining gauge-attraction eigenindices, that are to here be in the process of being used-up or elliminated, via the process of these said eigenindices being put into such a Ward-Caucy-based condition, by which these will be allowed to then run-out their course, by such eigenindices to have then been fully degenenerated by being depreciated of their directly corresponding fractals of the eigenindices of the here correlative gauge-based attraction, that is to here be directly related to that initial disturbance in space, that had acted as those Schwinger-Indices that had behaved as the gravity waves that were initially formed by the "plucking" of the here correlative light-cone-gauge eigenstates by their correlative gauge-boson eigenstates, that had happened to the directly corresponding Rarita Structure, at an earlier tense of a gauge-based metric.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, March 29, 2017

Schwinger-Indices That Are Not Gaussian

Let us here, consider that those respective given arbitrary Schwinger-Indices, that are to here be produced by a set of three different light-cone-gauge eigenstates that are from three different individually taken orbifold eigensets, that are each not Gaussian to one another at all, are to as well be of the same genus, as to the nature by which such correlative Schwinger-Indices are to not be Gaussian to each other here.  This will then tend to mean, that the overall resultant gravitational waves, that are to here be produced by each individually taken integrative light-cone-gauge eigenstate of each metrical-gauge-based Hamiltonian operator, by which is to here be produced by each individually taken overall orbifold eigenset of such a case -- are to each be of three different universal settings.  Next, if one were to extrapolate one respective viable Li-based Jacobian eigenbasis, that could work to inter-bind the three so-eluded-to orbifold eigensets, in such a manner to where the three said eigensets -- and thereby the three light-cone-gauge eigenstates, as well as the directly corresponding Schwinger-Indices, that are to here be produced by each of such light-cone-gauge eigenstates -- will then be put into such a situation, by which these will then be of a Gaussian nature to one another.  This will then work to allow for the condition, that each of such metrical-gauge-based Hamiltonian operators -- that were initially of three different universal settings -- are to now be of the same universal setting.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, March 28, 2017

Homeomorphic Gravitational Push

When the net directoral-based push of those Schwinger-Indices  -- that act as gravity waves -- are to interact upon one respective given arbitrary orbifold eigenset, to where the case scenario works to bear, that the Ward-Caucy-based  conditions are in such a manner, to where it is to here be that basically just the gravitational-based push that is proximal local to the directly correlative orbifold eigenset, is to be basically the sole source of the resultant wave-tug that is to here be delineated upon the said eigenset -- are to exist as both one general homeomorphic and as one homeogenous manner upon the so-stated orbifold eigenset, over time, then, this general condition will then work to cause the tendency of then working to make the said orbifold eigenset to then exist in a relative Majorana-Weyl-Invariant-based manner, -- over the so-eluded-to group-metric, in which the so-stated net gravitational push is to work to bear both such a homeomorphic and such a homeogenous wave--tug, upon the so-eluded-to metrical-gauge-based Hamiltonian operator.  Such a tense of a homeomorphic gravitational push, is to here be in terms of both the angling of the correlative directoral-based push of the directly corresponding Schwinger-Indices, the scalar amplitude of the wave modulae of the said Schwinger-Indices, &, the overall genus of the Noether-based current -- that is to here be Yukawa to those gravitational waves, that are to here be effectual upon the so-stated orbifold eigenset.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, March 21, 2017

Relative Reversal Of Gauge-Boson Plucking

Let us initially consider one given arbitrary orbifold eigenset, that is to here be basically pushed, just soely by the force of gravity, in this respective given arbitrary case -- of which is to here be moving through a discrete unitary Lagrangian, through which the said eigenset is to be translated through its directly corresponding Hamiltonian operand -- as one discrete metrical-gauge-based Hamiltonian operand, via the group-metrical constraint of a discrete set of a sequential series of group-related instantons.  Let us next, consider that the directly correlative set of gauge-bosons -- of which are here to work, in so as to "pluck" the directly corresponding second-ordered light-cone-gauge eigenstates, in so as to work to form Schwinger-Indices that are to act as the holonomic substrate of gravity waves -- are to act in such an overall directoral-based manner, in so as to work to form one overall resultant genus of a holomorphic-based topological sway -- over the so-eluded-to set time constraint, that is of the said sequential series of group-related instantons, via which the resultant overall tense of those integrative Schwinger-Indices, that are to thence form by the said "plucking" of the so-stated light-cone-gauge eigenstates by the so-stated gauge-bosons, are to then form one resultant tense of a gravitational-based push, of which is to help at working to move the said orbifold eigenset into what I have so-eluded-to as its relative forward-holomorphic direction, that is of such a respective given arbitrary case scenario.  Let us next say that the overall resultant directoral-based holomorphicity, that is to here be directly corresponding to the topological sway of those said gauge-bosons, that are to here be working in so as to "pluck" the said light-cone-gauge eigenstates -- is to reverse in the overall genus of its resultant direction, over an ensuing sequential series of group-related instantons.  Such a reversal in the holomorphicity of the "plucking" of such light-cone-gauge eigenstates, will then often tend to work to reverse the general overall resultant holomorphicity of the flow of the resultant formed Schwinger-Indices.  Such a reversal in the holomorphic wave-tug of these correlative Schwinger-Indices, may then often work to reverse the direction -- of what would here be an otherwise relatively ineffectual pulsation of a Hamiltonian-based operator -- to where this will often work to reverse the holomorphic direction of the here discussed overall so-stated orbifold eigenset.  Such a reversal in the general direction of an orbifold eigenset, will then tend to work to form an antiholomorphic Kahler condition -- over the here ensuing group-metric.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Friday, April 29, 2016

Epiphany

This is like an epiphany. What I term of as Rarita Structure eigenstates, are generally a certain framework of mini-stringular segmentation -- that work here more specifically in so as to help in the inter-relationhip of bringing a kinematic interdependence between the holononmic substrate of quanta of discrete energy And the holonomic substrate of both gravitons and gravitinos. Schwinger Indices are norm-state-projecitons that act as vibrational oscillations -- that are pushed from the general multiplicit locus of the light-cone-gauge, into the multi varied loci as to where the countless Rarita Structure eigenstates are differentiating at, in a Fourier-based manner, over time. Schwinger-Indices are another manner of basically stating the existence of gravity waves. Both Rarita Structure eigenstates and Schwinger-Indices tend to be different functional groups -- of what tend to be two different gene of zero-norm-state-projection-based Hamiltonian operators, that are of the metrical-gauge-based kind. The main difference, is, that the Rarita Structure tends to act as more of a norm-state-projection-based operand, that acts as well as a template for the activity of gravity-based motion to move upon, while, the Schwinger-Indices tend to act more as the Fourier-based oscillation-based genre of that motion by which the interdependence of gravity-based operation may be helped into being brought into both existence and spontaneity. The oscillations of those disturbances in space, that are what may be called of here as Schwinger-Indices, act upon the Rarita Structure -- in so as to help to bring in the so-eluded-to interdependence. Maybe this physics model could be improved, yet, this is my current perception. Sincerely, Samuel David Roach. I will continue with the suspense later!  To Be Continued!

Monday, March 21, 2016

As To Altered Cohomologies

When one is to have a given arbitrary orbifold eigenset, that is only curved to both the scalar amplitude and the manner in which the proximal localized space-time fabric is to curve in the Lagrangian-based path of its correlative Hamiltonian operation, over time, to where such a said orbifold eigenset is to then be pulled into the respective condition of going from bearing exclusively both Lagrangian and metrical-based hermitian singularities -- into bearing the condition of then working to bear either Lagrangian and/or metrical-based Chern-Simons singularities, -- this will then work to cause the mappable tracing that is of the correlative directly corresponding cohomology, that may be then extrapolated from the so-eluded-to physical memory as to the when, where, and how that the superstring had just previously differentiated at as a kinematic metrical-gauge-based Hamiltonian operator, -- to where this will then go from an initial set of integrated ghost-bases indices that are potentially set in what may here be thought of as a Rham cohomololgy, into such a change by which it is then to be of a mappable tracing that is to be of what may be thought of here as a given arbitrary Doubolt cohomology.  To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

Friday, March 4, 2016

Tenses Of Relative Stability

Let us first consider an initially relatively stable atom, that is functioning as a metrical-gauge-based Hamiltonian operator -- at one set locus, in which such a respective stable atom is in a tense of conformal invariance, from within its general Ward-Caucy-based physical framework -- in which the said atom is to be operating at -- over a relatively transient duration of an initial set metric.  Let us next consider that this said atom had just previously been slowed into the earlier mentioned tense of conformal invariance -- to where the so-stated atom was kinematically converging into that so-eluded-to tense of Majorana-Weyl-Invariance, that was eluded to at the beginning of this post.  In the process of the so-mentioned atom being brought here into the said condition of conformal invariance -- the here so-eluded-to harmonic-based perturbation, that had then worked to cause the said atom to go into a state of relative Majorana-Weyl-Invariance, happens in such a manner to where the so-stated atom was then brought into a relatively stable kinematic condition of being at a steady-state, that is to here exist from within the general proximal localized region of its Poincare-based framework, to where such an atom may be said to have undergone a tense of a Wess-Zumino genus of an interaction -- over the directly corresponding sequential series of instantons, by which such a convergence that leads into a tense of conformal invariance had to have then happened, directly prior to the conditions that I had stated at the beginning of this given arbitrary respective post.  Let us then say that there is an interaction of that form of electromagnetic energy, that is of the genus of an infrared or heat-based energy -- that is to then be applied to the topological surface of the holonomic substrate of the atom that I have been discussing here in this given arbitrary post.  Let us then say that the interaction of heat energy with the said atom, will then tend to work to cause one or more electrons -- that are from within the Ward-Neumman bounds of the said atom, to be excited -- to where the so-stated one or more electrons that have then become excited, will then drop an energy level, while then "leaping" back to its initial energy level that I have here so-implied.  This will then tend to work to cause the emission of one photon per electron that had dropped an energy level.   The so-eluded-to electrons, that had just been excited by the Gliosis-based interaction of heat with the topology of their holonomic substrate -- happens, to where this said heat will have had been applied to the Ward-Neumman bounds of the so-stated atom that I have been writing about, in this respective given case scenario.  This so-eluded-to enharmonic tense of a perturbation, may be viewed of as an example of a Cevita interaction.  Thurthermore, whenever electromagnetic energy is scattered upon any general genus of phenomenology -- this general genus of a Fourier-based activity will tend to form a gauge-transformation, during which there is then what may be termed of as a Calabi-based interaction.  Calabi-interactions always tend to work to form a certain scalar magnitude of entropy, which is needed in order for the changes of physical states to happen. (For instance, such entropy is needed in order for ice to melt into plane water.)  Whenever any electromagnetic energy is scattered upon any orbifold eigenset of mass-bearing superstrings, that are of discrete energy permittivity -- this general genus of interaction is known of as a Calabi-Yau interaction.  This is why the orbifold eigensets, that are directly associated with mass-bearing superstrings -- are known of as Calabi-Yau manifolds.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Monday, February 22, 2016

As To Varying Ellongated Pulsations

Let us here consider a given arbitrary superstring of discrete energy permittivity, that is initially pulsating at a constant rate -- as the said string is moving at a constant velocity, through a discrete unitary Lagrangian, over a discrete metric of time.  Let us next consider that the so-stated superstring is to then work to bear an ellongated pulsation, that is at one general locus to where the said discrete quantum of energy is to be differentiating in a Fourier-based manner, over a sequential series of instantons.  The so-mentioned ellongated pulsation of such a case will here tend to work to form a metrical-based Chern-Simons singularity, of which will then tend to be propagated in such a manner to where this so-eluded-to perturbation in the pulsation of the said superstring will then tend to alter the condition of the initially so-eluded-to Rham-based cohomology into a Doubolt-based cohomology -- as the the mappable tracing of the projection of the trajectory of the said superstring of discrete energy permittivity, is to here be in the process of being propagated in the directoral-based holomorphicity that is to here be in conformity to the angular momentum-based flow of the initially stated discrete unitary Lagrangian, that is in the path of the directly corresponding Hamiltonian operand through which the directly corresponding superstring of discrete energy is to be moving through, as a holonomic substrate of a metrical-gauge-based Hamiltonian operator, over the so-proscribed set of instantons that are to here act as the set metric, that is to be gauged in this particular case.  The superstring of such case -- of which, of course, is to here act as a discrete quantum of energy permittivity -- will often tend to either form a Njenhuis-based "fidgeting" of a Chern-Simons-based Lagrangian form of a tense of singularities, that are here  due to the so-eluded-to tense of such a metrical-based singularity, or, if the superstring that is to here work to bear the so-stated ellongated pulsation, of which would here work to bear such a spurious iteration of metrical-based singularity, that is to here be "sensitve" enough to the said conditionality of the tendency of such a "fidgeting" that is to take effect upon the Ward Caucy-based bounds of the said superstring -- then, the so-stated superstring will often then be of such a nature in so as to bear a Real Reimmanian-based Chern-Simons set of one or more singularities, that will then tend to pull the said discrete quantum of energy permittivity away from the perturabtive source,  that had acted in so as to work to form the said metrical-based singularity in the first place, in a relative "dot-product"-based manner, in so as to work to pull the trajectory of the superstring away from the initially mappable Lagrangian-based path -- that the said superstring was to initially be plotted in, in so as to be extrapolated through.  I will continue with what the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Thursday, February 4, 2016

Altered Dimensional Settings

Let us first consider in this given arbitrary case, an electron that is differentiating here, in a Fourier-based manner -- in nine spatial dimensions plus time -- through a discrete Lagrangian, over a relatively transient duration of time.  An electron exists in a d-field -- of which is a subatomic field, that exists in a minimum of six spatial dimensions plus time, in any minimally considered given arbitrary respective Fourier Transformation -- by which such a said electron is moving as a Hamiltonian operator through, in its correlative Hamiltonian operand, over time.  So, since the so-stated electron of such a respective given case is here moving in two more so-eluded-to spatial dimensions, than the minimum number of spatial dimensions in which such a said particle such as an electron must be going through, as it is moving through space over time -- the so-stated electron of such a given case must then work to bear the Laplacian-based condition as to having two Njenhuis-based tensors, that are Yukawa to the topology of the said electrons core-field-density.  Let us say that the said electron is, in this said given case, moving in a tertiary Lagrangian -- as it is moving as the holonomic substrate of a given d-field, which is in the case of working here to bear the condition of interacting directly with eight spatial dimensions plus time -- instead of  working to bear the condition of interacting directly with six spatial dimensions plus time -- over the directly correlative Fourier-based transformation in which the said electron, as a respective orbifold eigenset, is moving in such a manner in so as to have a respective hermitian flow, -- by which one would thereby not have any overt Chern-Simons singularities.  This would then mean, that, although such an electron would bear, in such a case, an intrinsic Njenhuis "platitude" -- since it works to bear in this case two added spatial dimensions than it would if it were of simply of a Real Reimmanian-based nature -- it would work to bear a Doubolt cohomology that would be of a partially Yau-Exact nature, since it would be basically completely hermitian in a Li Algebra-based manner, yet, the Njenhuis topological sway of the wave-tug/wave-pull of the electron, as it is moving here in two added spatial dimensions than it usually would go through over its correlative Fourier Transformation that would make the Lagrangian-based path of the said Hamiltonian operand through which the said electron is moving through to be as a hermitian-based Hamiltonian operation that is off of the Real Reimmanian Plane.  Let us say that the so-stated electron of such a case is then pulled completely back into a simply Real Reimmanian-associated  Rham-based cohomology, that is as well of a hermitian based nature (the Fourier-based cohomology of such a case would then change in a maximum of only six derivatives here, instead of in a maximum of eight derivatives -- since the directly corresponding electron that is to form the correlative cohomology is to then to be only moving in six spatial dimensions plus time instead of in eight spatial dimensions plus time)  -- after a set sequential series of group-related instantons, after it has been pulled-out of being as a Doubolt-based Hamiltonian operator, that had initially worked to bear the two so-stated Njenhuis tensors that it had started-out by having at the beginning of this said scenario.  This would work to involve the process of what may here be termed of as the compactification of the dimensionality of the cohomological substrate of the so-mentioned electron -- by the projection of the trajectory of the electron, as a Hamitonian operator, being converted from existing as a GSO ghost that would have two Njenhuis coniaxials, to existing as a GSO ghost that would instead have only Real Reimmanian-based coniaxials.  The so-stated electron will then be back to moving in a kinematic manner as a Hamiltonian operator that is differentiating through a Fourier Transformation that is of purely a Yau-Exact nature.  This is a compactification of the dimensionality of an integrative Fourier-based ghost-based Hamiltonian operator -- that is as the physical memory in the substringular of a metrical-gauge-based nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.