Showing posts with label group-attractor. Show all posts
Showing posts with label group-attractor. Show all posts

Tuesday, March 28, 2023

Enhancement Of The Kahler-Metric

 The interactive incursion of a group-attractor, upon the kinematic action of a Yau-Exact Hamiltonian Operator, may often tend to increase the capacity, of working to enhance the ability of such a stated Hamiltonian Operator, to consequently result in working to spontaneously express, the general heuristic  nature, of the Kahler-Metric. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH.

A Kahler Hamiltonian Operator, that behaves as a complex compact topological manifold, of which is to be smoothly spatially transferred, via the workings of its eminently associated Fourier-Related-Progression, through a general medium, that works to exhibit the same number of spatial dimensions, as it is to exhibit at a Laplacian, will often tend to work to express, the general behavioral characteristics, of a hermitian Lagrangian.  

Charges that act upon each other, that work to bear the same chirality, tend to consequently work to bear, a viably covariant interactive tense, of conformal repulsion.  Furthermore; Charges that act upon each other, that work to bear the opposite chirality, tend to consequently work to bear, a viably covariant interactive tense, of conformal cohesion.  

A Kahler Hamiltonian Operator, that works to exhibit a relatively strong tense of metric-based succinctness, may often have the general tendency, of drawing the immediately externalized cohomology-related eigenstates, that are initially just outside of its general Ward-Cauchy field, in a general direction, that may be deemed of, as being inward, towards the implicit covariant differentiable cotangent bundle.  Whereas; A Kahler Hamiltonian Operator, that works to exhibit a relatively strong tense of Lagrangian-Based succinctness, may often have the general tendency, of drawing the immediately externalized cohomology-related eigenstates, that are initially just outside of its general Ward-Cauchy field, in a general direction, that may be deemed of, as being outward, away from the implicit covariant differentiable cotangent bundle.  

A De Rham Hamiltonian Operator, that is compact, will often tend to have a more conically driven transversal angular momentum, than an otherwise analogous De Rham Hamiltonian Operator, that is not compact.  

When the covariant proximal local general physical attribute, of the Kahler-Metric, is relatively very strong, the generally implicit set of physical conditions, that are eminently corroborative to this reductional tendency, may often work to facilitate the incursion, of an equivocal counterbalance, between the eminently demonstrative interaction, that is here to often tend to take place, between the repelling force-like characteristics of conformal repulsion, when in conjunction, with the attraction-related force-like characteristics of conformal cohesion.  

The smoother that the flow of the motion, of a tense of wave-tug, is to be, the more succinctly expressed, that such a respective tense of wave-tug, of which is here to be eminently associated, with the core-field-density, of the given arbitrary directly corroborative implicit compact Hamiltonian Operator, will spontaneously consequently tend to be.  Furthermore; The more capacity that the motion, of a tense of wave-tug, is to have, to be capable of permeating the space-time-fabric, that is immediately external, to the eminently associated core-field-density, that is here to be of, the given arbitrary directly corroborative implicit compact Hamiltonian Operator, the more resolute, that the implicit “team” of cohesive discrete energy, will spontaneously consequently tend to physically behave, as it is here to be kinematically differentiating, from within the Ward-Cauchy-Related bounds, of the general region, in which it is here to be respectively transversing through, over the durational course, of its eminently associated motion.  

The proximal local incursion, of a particular genus of the Wess-Zumino Action, as imparted, upon the covariant, kinetically delineated, Fourier-Related-Progression, of a Noether-Based, mass-bearing, compact Hamiltonian Operator, may often tend to work to facilitate, the eminently related efficiency of charge generation, that is here to be exhibited, by the resultant action, of the kinematically distributed flow, of the net physical motion, of the earlier stated, respective compact Hamiltonian Operator, as taken over the implicit tense of duration, in which the Lagrangian-Based motion, of the implicit team of mass-bearing super strings, is here to have an enhancement, of the attributable harmonics, when in terms of the general manner, by which such a respective team of strings, is here to smoothly scatter, the homotopic residue, that is immediately external, to the covariant recursive kinematically delineated field density, that is of the stated moving Hamiltonian Operator.  

When a Kahler Hamiltonian Operator, that is being propagated through a hermitian Lagrangian-Based field, is to work to bear a resolute Fourier-Related-Progression, it, (the Kahler Hamiltonian Operator), will tend to exhibit, what I happen to term of as being, an adherent pulsation.

The stronger that the reductional tendency is to be, of the general physical expression, of a Kahler Hamiltonian Operator, working to exhibit the covariant proximal local presence, of a compact topological manifold, of which is here to be spatially transferred, in such a manner, that works to exhibit a hermitian Lagrangian, it will thenceforth tend to occur, that the more resolute in which the succinctness of its Fourier-Related-Progression, will thereby tend to be propagated more rigorously, in its eminent spatial translation, as this is here to be taken, in its steadfast successive iteration, along the general course of the Rarita Structure, over a proscribed relativistic duration, in the general course, of its heuristically eminent, implicit recursive pulsation.  

The more heuristically enhanced, that the Kahler-Metric is to be, for an eminently associated, kinematically propagated Calabi-Yau Manifold, the more topologically counter-balanced, that the distributional delineation, of its eminently associated holonomic co-differentiable Hess States, may often tend to be situated as, as this is here to be considered, over an evenly taken durational configuration, that is thence to be heuristically expressed, over a given arbitrarily proscribed sequential series, of an eminently associated recursively consequential discrete set, of interdependent group-related instantons.  

The segment of the ensuing equation, that implies the eminently associated mathematical condition, that the natural log of 1 here, only if applicable, is to be set equal to 2PIi and NOT 0, is only to be referring to the eminently implicit small part of the ensuing equation, of which is about to be set before you.  

By the way; Vital Correction to be made here. What I called, “tertiary eigenstate” in the following equation, should have actually been termed of as being, “trinomial eigenstate.” Sorry for any confusion. 















Thursday, December 9, 2021

Initial Isotropically Unstable Gauged-Action

When a given arbitrary group-attractor, is to physically operate, in a Yukawa-Related manner, upon an initially isotropically unstable net gauged-action, that is here to be directly correlative, to the kinematic physical operation, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta; This general type of an inferred kinematic inter-action, that is here to be eminent in its coupling, between a group-attractor, and the directly corresponding mass-bearing cohesive set of discrete energy quanta, that it is here to be acting upon, will thereby often tend to work to help, in causing the said net gauged-action, of which the inferred "team" of discrete mass-bearing energy, is here to be exhibiting to display, to spontaneously ensue, in so as to exhibit a more isotropically stable tense of a behavior. SAM.

Tuesday, July 6, 2021

Conformally Invariant Tense Of Static Equilibrium

 When the gauged-like action of a given arbitrary group-attractor, that is here to be applied, in a Yukawa-Related manner, upon a directly associated cohesive set of discrete energy quanta, -- is to counterbalance with the inverse-related operation, of the gauged-like action of a given arbitrary ghost-based inhibitor, that is also here to be applied, in a Yukawa-Related manner, upon the earlier mentioned respective directly associated cohesive set of discrete energy quanta -- this general tendency of a potential process, if applicable, will often tend to work to form the exhibition of the kinematic display, of a conformally invariant tense of static equilibrium, in the spatial translation, of the said cohesive set of discrete energy quanta, as this is here to be considered, over a directly corresponding proscribed duration of time. SAM.

Tuesday, November 19, 2019

Relatively Stagnant Cohomology-Related Generation/Degeneration

In the substringular -- when there is to be both a group-attractor and a ghost-based inhibitor of the same scalar amplitude of wave-tug, that are here to be acting upon a given arbitrary orbifold eigenset, at relatively opposite sides of the said orbifold eigenset, via a Ward-Supplemental directorial, over time, -- then, this will consequently tend to result in a relative stagnation of the directly corresponding cohomology-related generation/degeneration -- that is here of such a respective case.  Sam Roach.
Yes Marshall Hill of Garden City, this is your friend Sam Roach's blog!
By the way -- my brothers are John Anthony Roach and Robert Joseph Roach.
My mom is Idella May Roach.  My dad was Lee Anthony Roach.  My sister is Linda Rausch. (PHS1989).

Friday, August 30, 2019

Cohomology And Interactions

When a ghost-based inhibitor interacts with an initial De Rham cohomology, to alter the said initially stated cohomology into a Dolbeault cohomology, this tends to be an example of a general genus of a Cevita interaction.  Consequently -- when a group-attractor interacts with an initial Dolbeault cohomology, to alter the the just said initially stated cohomology into a De Rham cohomology, this tends to be an example of a general genus of a Wess-Zumino interaction.  To Be Continued!  Sam.

Group-Attractors And Yau-Exact Orbifold Eigensets

When a group-attractor interacts with an orbifold eigenset -- that is initially to work to bear a Dolbeault cohomology, that is thence to not be of a fully hermitian nature, -- it will then tend to cause such an orbifold eigenset, to alter into the direction of subsequently working to bear a potentially De Rham cohomology; to where this will furthermore work to cause the said orbifold eigenset, that is here to then potentially to be exhibiting such a said De Rham cohomology, to work to bear a more Yau-Exact nature, over an ensuing discrete evenly-gauged Hamiltonian eigenmetric.  (Which will then tend to happen, over an eluded-to ensuing sequential series of group-related instantons.)  To Be Continued!  Sincerely, Samuel David Roach.

Friday, February 1, 2019

Yukawa Couplings, Group-Attractors, And Ghost-Inhibitors

A Yukawa Coupling often tends to be of the nature, of acting as the Lagrangian-related operation - that is directly associated with an interaction of a metric-gauge-related Hamiltonian operator -- with the holonomic substrate of a group-attractor. Or, a Yukawa Coupling may often tend to be of the nature, of acting as the Lagrangian-related operation -- that is directly associated with an interaction of a metric-gauge-related Hamiltonian operator -- with the holonomic substrate of a ghost-inhibitor.  A group-attractor tends to work to help at amplifying the kinematic action that is of the Fourier Transformation, that is of the directly corresponding Hamiltonian operator, that is here to be interacting in a Yukawa-related nature with the said group-attractor.  Furthermore, a ghost-inhibitor tends to work to help at attenuating the kinematic action that is of the Fourier Transformation, that is of the directly corresponding Hamiltonian operator, that is here to be interacting in a Yukawa-related nature with the said ghost-inhibitor.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Thursday, August 9, 2018

The Wess-Zumino Group Metric

The Wess-Zumino group metric, that acts in so as to apply a wave-tug upon a conformal set of group-attractor-based substringular matrices -- into a Reimman-based symmetrical tense of superconformal invariance, -- may be known of as the Alvarez-Goume Action.  (Again, a Wes-Zumino-based group metric -- works to "tug" substringular phenomena out, from a perturbative state -- into a more orderly state. )  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, May 23, 2018

An Example Of A Group-Attractor

Let us say, that one is to have a substringular situation -- to where there is to be one Majorana-Weyl-Invariant-Spinor -- that is working to "try" to diverge from a second Majorana-Weyl-Invariant-Spinor, while the second mentioned spinor is to work to "try" to converge upon the first just mentioned spinor.  Now -- let us say that there ensues to be a situation -- to where there is to be a third substringular entity, -- that acts upon the earlier mentioned scenario, to where the Fourier-related activities of the two different mentioned Majorana-Weyl-Invariant-Spinors are to coalesce into one group-acting Hamiltonian operator, after the particle that is here to act upon the two initially mentioned spinors, is to engage upon such an embarking in a Yukawa-related manner, over time.  This would be one general genus of a group-attractor, which here may more specifically be named of as a gauge-attractor, as it is here to be a Ward-Cauchy-related substringular phenomenology -- that works at least in part, via the Fourier-related activity of potentially integrative Schwinger-Indices -- that are here to be propagated along the general Rarita Structure, over time.  Again -- as an aside, such Schwinger-Indices (before these are here to coalesce into groups of such indices), are here to initially to be formed by the kinematic activity of gauge-bosons upon the topological stratum of the multiplicit light-cone-gauge.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, May 2, 2018

More As To The Activity of Group-Attractors

Let us initially consider an orbifold eigenset, that is here to be comprised of by a set Hodge-Index -- as to the number of discrete quanta of energy, that work to comprise the said eigenset.  Let us next consider another orbifold eigenset -- that is of another universal setting -- that is here as well to be comprised of by a set Hodge-Index, as to the number of discrete quanta of energy that work to comprise the said eigenset.  Let us next say, that the layer of adjacency, that is here to exist between and among the superstrings that are here to work to comprise the two covariant orbifold eigensets that are here to be moving over a set evenly-gauged Hamiltonian eigenmetric -- is here to be consistent in both a codifferentiable and in a codeterminable manner over time.  Let us then say that a group-attractor is to happen to the two said orbifold eigensets, in so as to work to make the angular positioning of those discrete quanta of energy -- that work to help in comprising the two individually taken orbifold eigensets, to be of such a manner, to where the two said orbifold eigensets are to then to be of the same universal setting.  This will then not only work to make the manifolds of the two different mentioned orbifold eigensets to be of a Real Reimman-related Gaussian spacing -- the one to the other --, yet, it will also make the two individually taken orbifold eigensets to now act in such a way that is made, the one to the other, in such a manner, that is viable in a Yukawa manner that is of a potentially spontaneous Gliosis-related tense, that is of both a codetermiable and of a codifferentiable relationship over time.  I will continue with the suspense later!  To Be Continued!  Sincerely,
Samuel David Roach.

Monday, March 12, 2018

Group-Attractors And Norm-State-Projections

Norm-State-Projections may often act -- in so as to produce a general tense of a wave-tug, of which may act as a very general genus of a group-attractor.  Such a general tense of a group-attractor, may then work to act -- in so as to delineate discrete quanta of energy, into the general form of an orbifold eigenset.  This is if the topological stratum, that is here to be both covariant, codeterminable, and codifferentiable between those discrete quanta of energy, that are here to be tugged together, -- is to be having either an increasing scalar magnitude or an increasing scalar amplitude of a general Yukawa-related bonding.  Such an increase in either the scalar magnitude or the scalar amplitude of a general Yukawa-related bonding, may often be related to a correlative Real Reimman relationship, that is to exist between the correlative complex-roots that these are to bear -- among their Lagrangian-based Chern-Simons singularities -- that these initially individually taken discrete quanta of energy had worked to form, immediately prior to the Fourier-based activity of the said norm-state-projections that are here to act as a group-attractor, that are here to have had acted upon the earlier mentioned discrete quanta of energy, that are here to subsequently bond at the relatively proximal locus of one discrete orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Monday, January 8, 2018

Some More Knowledge As To Open-Loops

Often, when one is dealing with a Ward-Cauchy-related open-loop substringular phenomenology -- that is an open loop that is isotropically stable, -- one is to initially have two individually taken open substringular strands, that are to subsequently bend in a hermitian manner towards one another, in so as then to tie their initial fabric of the holonomic substrate of topological stratum, in so as to then to work to become an open-loop of substringular phenomenology.  This is to happen, due to the cohesive activity of a correlative group-attractor -- that is to work to help at forming such a wave-tug, that is to both bring the initially stated open strands towards each other, plus to work at helping that activity of the hermitian bending of the two said open strands that is necessary in so as to work to form a resultant open-loop, as well as to help at working to initiate that interaction that is to happen between the dual state of the correlative mini-stringular segmentation that is to exist among each of such initial open strands, in so as to help at allowing for that Ward-Cauchy-related tying that is to happen, in so as to help at allowing such open strands to then to become one Ward-Cauchy-related substringular open-loop.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, August 2, 2017

More As To Cohomological Generation

Let us initially consider an orbifold eigenset of one given arbitrary nature, that is to work to bear an ellongated pulse -- as it is to be accelerated through a Doubolt cohomology, that is to bear both a set of metrical-based Chern-Simons singularities that are to each to bear a set of complex roots, as well as to also bear a set of Lagrangian-based Chern-Simons singularities that are to each to bear a set of complex roots, -- as the so-stated Doubolt cohomology is to be able to be extrapolated as having a mappable-tracing, that is to bear a general index of Ward-Polarization, that is to be generating a respective cohomology, that is to bear a larger resultant scalar magnitude of the formation of Gliosis-Sherk-Olive ghosts than the resultant scalar magnitude of the formation of Nielson-Kollosh ghosts.  So, the general condition of a net generation of cohomological residue -- that is to be formed by discrete quanta of energy that are to work together in so as to perform one common Hamiltonian operation -- will tend to form a significantly higher scalar amplitude of a Reimman scattering, that is of the norm-state-projections that such discrete energy is to strike in a Gliosis-based manner, -- than the relative quanta of the scalar amplitude of that overall Rayleigh-based scattering, that is of the Gliosis-Sherk-Olive ghosts that are to be scattered out of the condition of cohomological generation, -- that would otherwise happen if the correlative Hamiltonian-related group-related discrete energy that is to here to act as one quantum, would work to form, if it were to, instead, to act as a group-attractor of cohomological degeneration.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Thursday, January 19, 2017

As To Spaces From Different Universal Settings

Let us here consider two different orbifold eigensets -- one orbifold eigenset of which is to be from one universe, while the other orbifold eigenset is to be from another universe.  These two different given arbitrary respective orbifold eigensets, would then work to belong to two different respective universal settings.  This would then mean, that each of the two said different orbifold eigensets -- would here act as two different spaces -- that would then be of two different universal settings.  This would then mean, that each of the two said eigensets, is to not be of a Real Reimmanian nature towards the other of the two said orbifold eigensets.  This would then, as well, mean, that each of the two said eigensets is to be of a Njenhuis-based nature towards the other of the two said eigensets.  Yet, if there were to be a kinematic group-attractor, that is to be Yukawa upon both of the two said orbifold eigensets -- that is to work as a holonomic substrate that is to be kinematic here upon the so-eluded-to proximal locus, as a physically taken eigenbase -- in relation to what would here be a relative Fourier-initiated Gaussian-based assortment of one of the two so-stated orbifold eigensets when this is in relation to the other of the two so-stated orbifold eigensets, then, this general genus of a Fourier-initiated Gaussian-based assortment, may often act in such a manner in so as to work to cause -- what would here be the equivalent of a physically-based Li-Algebra-related eigenbase, in so as to be able to help in so as to make both of the two so-stated orbifold eigensets, to then be of the same universal setting, over a successive series of group-related instantons -- that would take part in such a so-eluded-to group-metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, January 18, 2017

Next As To Reverberations

Let us here consider a different general case scenario, as to a reverberating orbifold eigenset -- that is to here, circulate in a basically rectangular Lagrangian-based path, at what is to will here be at a relatively internal-based reference frame, over time.  Let us next say that the here respective given arbitrary orbifold eigenset of such a respective case scenario, is to initially move in a relatively "straight" manner -- in such a way, as to where such a relatively "straight" direction is to here be considered as to be going in what may be here called of as the respective holomorphic direction.  Some time later, the so-stated orbifold eigenset is to turn towards the relative right or in the relative Njenhuis-to-reverse-holomorphic direction.  Let us next say, that some time later -- the said orbifold eigenset is to turn to the relative "right" as such, -- at an initial total of four times -- in so as to be reverberating in the earlier stated rectangular Lagrangian-based path.  Let us now say, that, upon the fourth so-eluded-to completion of such a so-stated "right"-based turn of the said orbifold eigenset -- there is to be a mild perturbation or alteration in the Stoke's-based angling of the directoral-based pulsation of the so-stated orbifold eigenset -- to where the said eigenset is to here be starting in the course of a rectangular reveberation, that is cyclical in permutation, over time.  Let us next say that such a just started iterative course of a rectangular-based reverberation, is to here be reiterative, over a successive series of instantons -- at a relatively internal reference frame.  At a relatively more external reference frame --  the so-stated orbifold egienset is to reverberate from going into the relative "down" or reverse-norm-to-holomorphic direction, into subsequently at a future metric -- going into the relative "up" or forward-norm-to-holomorphic direction.  In this given arbitrary respective case scenario -- that group-attractor, that is to help in working to cause the said relatively "down" motion, is to act in a chiral-based manner upon the said orbifold eigenset, whereas that group-attractor, that is to help in working to cause the said relatively "up" motion, is to act in an antichiral-based manner upon the said orbifold eigenset.  This latter mentioned difference from what was said as to happen in earlier posts, is due to the condition, that, at a relatively internal reference frame of this here differing case scenario -- the respective orbifold eigenset is to bear a tendency of a relatively "right" turning mode instead of bearing a tendency of a relatively "left" turning mode.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Thursday, March 3, 2016

As To Physical Re-Delineation Of Masses

Let us consider a set of discrete masses.  Let us say that the masses that are to be considered here, are in a relationship that is to then involve the initial Laplacian-based condition of three basic hydrogen atoms.  In this given arbitrary case scenario, one is to here be considering the fundamental sub-atomic particles that are to then work to comprise the three so-stated basic respective hydrogen atoms -- that I have eluded-to in this given arbitrary case.  What I am more specifically referring to as the physical substrate of each of such individually taken discrete masses -- of which are to be considered here as the eigenmembers of this respective given arbitrary case scenario, are the two fundamental basic cases of what always exist in any stable atom, by which I am simply referring to as the initial Laplacian-based condition of the existence of one relatively stable proton, that is being surrounded by the kinematic-based orbiting of one relatively stable electron, -- that are of the nature of as to being of either the holonomic substrate of a proton, or of the nature of being of the holonomic substrate of an electron.  Let us say that all three of such mentioned fundamental hydrogen atoms (each of which are a stable atom that is comprised of one proton that is being orbited by one electron), are to then each become positively charged all of the sudden -- by losing their respective multiplicit electron -- due to a proximal localized group-attractor.  The then resulting three loose protons would then tend to move towards whatever loose negatively charged adjacent source, is most aptly to be able to bring this so-eluded-to loose set of three positive charges into a state of optimum rest.  In the course of such a basic situation -- one is to then have a re-adjustment of the local delineation of the distribution of the proximal gluonic force of this specific case scenario -- since the three directly corresponding protons of such a basic case that I have described here, are made unstable, in order to move into a changed delineation, in so as to move into the respective individually taken spots where these are then to be at more of a state of optimum rest.  Individual protons each consist of two quarks that bind to one lepton.  Any given quark has a gluon that is situated within the Ward-Neumman bounds of its topological-based holonomic substrate.  Gluons -- of which are an example of what works to act as being a metrical-gauge-based Hamiltonian operator of the strong force -- are an example of a general condition as to the cite as to where there is a centralized knotting of the Rarita Structure.  (Where there is a gluon, there is an eigenstate of the centralized knotting of the Rarita Structure.)  So, whenever a proton is re-distributed in so as to form a re-delineation of its component gluons that are directly associated with the here so-eluded-to  Ward-Caucy bounds of the so-stated respective proton -- there is then to be a re-delineation of an eigenstate of the strong force.  So, whenever there is a re-delineation of the strong force -- there is thereby a directly corresponding re-delineation of an eigenstate of the centralized knotting of the respective multiplicit Rarita Structure eigenstate.  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

Wednesday, February 24, 2016

Duration of Elongated Pulsation

Let us first initially consider one given arbitrary superstring of discrete energy permittivity -- that is interdependently interacting with a group-atractor, in so as to work to allow for the respective pulsation that is of the said superstring, to be temporarily elongated at one set proximal locus -- as the so-stated string that is being discussed here, is to be moving through what would otherwise be a discrete unitary Lagrangian-based path.  Let us say that there are two different general case scenarios, that may be applicable to this given arbitrary respective type of case:  One:  The said elongation of the pulsation of the so-stated superstring, may be happening in this initially stated case scenario, only at one set Laplacian-based locus -- to where this so-eluded-to metrical-based Chern-Simons singularity that would thus form, could form a set of a Njenhuis-based Lagrangian tense of Chern-Simons singularities, to where these said singularities would tend to be propagated along the correlative Rarita Structure eigenstates, over time.  In such a case scenario, the effectual group-attractor will only bear a Yukawa Coupling upon the directly corresponding superstring, whose pulsation is elongated over the course of one respective given arbitrary group-related instanton.  Two:  The said elongation of the pulsation of the so-stated superstring, may be at a less metrically conformal genus of a set locus -- that would then be happening over a sequential series of Laplacian-based settings -- to where this so-eluded-to transient-based maintenance of metrical-based Chern-Simons singularities, would thus tend to form a set of Njenhuis Lagrangian-based singularities, to where these said singularities would then tend to be propagated along the correlative Rarita Structure eigenstates, over time.  This would depend upon if the action of the respective given arbitrary group-attractor -- that acts in so as to work to form that pull that is Yukawa to the Hamiltonian-based angular momentum of the said superstring, is to then  act in a Gliosis-based manner --upon the correlative inter connective so-eluded-to zero-norm-state-projections, that operate in so as to work to form that homotopy that binds the said interdependence that exists in-between the so-stated superstring and the correlative so-stated group-attractor --to where this is happening over the course of just one spurious iteration of group-related instanton, or, if the said action of the respective given arbitrary group-attractor that acts in so as to work to form that pull that is Yukawa to the Hamiltonian-based angular momentum of the said superstring, the said group-attractor will then act in a Gliosis-based manner that, instead, happens over the course of a sequential series of group-related instantons.  In this so-stated second tense of such a general case scenario, the correlative group-attractor will be moving in a planar-based manner, in so as to work to form the so-eluded-to Chern-Simons singularities -- that will here work to involve, in general, the resultant gauge-metrical Hamiltonian operation of what would happen if there was such an elongation of the directly associated pulsation of the said superstring, that is of this given arbitrary case scenario.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Tuesday, February 23, 2016

Some Stuff As To Attenuated Pulsations

Let us here consider a given arbitrary superstring of discrete energy permittivity, that is initially differentiating in a Fourier-based manner, in so as to be moving in a kinetic-based manner -- through a respective Hamiltonian operand, that may be mapped-out over a discrete unitary Lagrangian, over time.  Let us next consider that the said discrete quantum of energy permittivity that is here being discussed, is initially pulsating at a constant rate -- while such a so-stated superstring is only here to be initially working to form completely hermitian singularities, over the directly corresponding sequential series of instantons, through which the discrete quantum of energy of such a case is moving through its respective medium of space, as the so-stated superstring is moving through the said discrete path that is mappable over the directly corresponding Rham-based cohomology by which it is then working to form its correlative projection of its trajectory.  Let us then say that there is to then be a perturbation in the genus of the metrical-based tense of those singularities, that are then to formed by the resultant motion of the said discrete quantum of energy -- as it is moving along its initially proscribed path.  Let us consider that there is a given arbitrary group-attractor -- that may be situated from a significant locus that is "below" the norm-to-reverse-holomorphic positioning of the said superstring -- that is here being discussed in this respective case.  Let us say that the respective given arbitrary group-attractor that is being mentioned in this said case scenario, is to form a wave-tug/wave-pull -- that works to cause the pulsation of the initially said superstring, to be attenuated from its initial rate of its given arbitrary spin-orbital-based mode.  Such an attenuated pulsation in the rate of the correlative spin-orbital-based mode of the respective given arbitrary superstring, will then tend to work to form a metrical-based Chern-Simons singularity in the mode of the overall Hamiltonian-based fractal of its angular momentum-based indices, just as the so-stated superstring of discrete energy permittivity is being basically pulled in the direction of what was initially the proscribed discrete unitary Lagrangian, as the said superstring is to still be differentiating in a Fourier-based manner, over the continuously spontaneous sequential series of instantons by which the said superstring is to be moving in both a transversel and in a spin-orbital-based manner, over the correlative gauged metric of the so-eluded-to discrete quantum of energy.  Let us next consider, that often -- the establishment of the existence of such a metrical-based Chern-Simons singularity, will work to form a "fidgeting" of the directly corresponding motion of the directly corresponding superstring that is to be considered here.  Often, the formation of such an attenuated genus of a metrical-based Chern-Simons singularity -- will work to mildly pull the said superstring in a "fidgeting"-based manner, in either a Njenhuis and/or in a Real Reimmanian-based manner, in a relatively small degree, into the direction in which that group-attractor is moving to act in, in so as to work to form a set of one or more Lagrangian-based Chern-Simons singularities, just as the activity of that so-stated group-attractor that is here to be acting as the perturbative source that works to form the said respective given arbitrary attenuation of the correlative superstring's pulsation, is moving further into the relative norm-to-reverse-holomorphic direction from the planar-based Hamiltonian operand of the set path of the kinematic-based motion of the said discrete quantum of energy that is being delineated through what would otherwise be a discrete unitary Lagrangian-based path.  If the said perturbative source that had worked to form the so-mentioned Chern-Simons singularites, is both intially situated from a path that is "below" the said superstring from the relative norm-to-reverse-holomorphic direction from the plane in which the directly corresponding superstring is to here be moving, as well as the said perturbative source that is to here be working to form the Chern-Simons singularities that are being discussed in this case, is to be moving further into the relative norm-to-reverse-holomorphic direction from the plane of as to where the said superstring is to be moving in, then, if one were to be theoretically situated at the relative norm-to-forward-holomorphic positioning of the correlative superstring of this given arbitrary respective case, then, the wave-tug/wave-pull that is to here be being applied to the said string -- in so as to work to form a lull in the pulsation of the said superstring, will then tend to work to cause a topological sway or a topological pull upon the so-stated string, to where the so-stated superstring will be mildly pulled into the cross-product direction, or, in the direction that is situated relatively "away from where you are at."  Such a "pull" is actually a "push" that is directed as going in the Opposite direction from the said norm-to-forward-holomorphic positioning that I have here discussed in this respective given arbitrary scenario.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Tuesday, January 26, 2016

A Different Tense Of Relative Covariance

Let us say that one were to have an orbifold eigenset, that was comprised of a set of smaller orbifolds, of which functioned as Hamiltonian operators from within the Ward-Neumman confines of the initially said orbifold eigenset.  Let us next say that the initially stated orbifold eigenset, was just acted upon by a group-attractor eigenbase -- in so as to go from moving in a divergent tense, via its respective given arbitrary Fourier-based translation, into moving as a Hamiltonian operator that is then put into a state of static equilibrium -- to where the overall orbifold eigenset of such a case, is put into a tense of conformal invariance over the course of a Wess-Zumino interaction -- that would exist here between the group-attractor and the said overall eigenset, over a relatively transient duration of time.  Let us then say that the orbifolds that are here to exist from within the Ward-Neumman bounds of the holonomic substrate of the orbifold eigenset, had here just been perturbated in a harmonic manner -- to where these are differentiating in a Fourier-based manner, over time, in such a manner that is cyclical, in a divergent manner, that is of less of a conformally invariant tense of kinematic motion.  This is to where, ironically enough, the interior-based orbifolds that are of a Ward-Caucy relationship with the overall orbifold eigenset that is of an external Ward-Neumman bounds, are in less of what may here be considered as a tense of static equilibrium, than the initially so-stated orbifold eigenset -- that had just been brought into a higher state or optimum relaxation -- over a sequential series of instantons.  Even though the orbifolds that are of a Ward-Caucy relationship with the externally constructed orbifold eigenset -- that work to contain the Ward-Neumman boundaries of the internally proximal localized orbifolds -- are of a relatively less stable covariant tense of both codetermination and codifferentiation, over time -- the internally proximal localized eigenindices, that are of the internal genre of a multiplicit framework, are of more of an entropic state of Fourier Transformation than the relative state of rest,that is associated instead with the Fourier Transformation of the external framework of codetermination and codifferentiation -- as the initially so-stated orbifold eigenset is oscillating in a tense of what may be here considered as a state of relative static equilibrium.  So -- this means that what would here be an externalized physical framework of Ward-Caucy Hamiltonian operation, is acting as a state of holonomic substrate that is in a  Majorana-Weyl-Invariant-Mode -- even though the action of the so-stated group-attractor that had brought the initially said orbifold eigenset into a Wess-Zumino interaction, in so as to bring the said eigenset into a harmonic perturbation that had then brought it into a tense of conformal invariance, did not simultaneously, through the vantage-point of a central conipoint, work to bear a Wess-Zumino interaction upon the Yukawa-based topology of the holonomic substrate of the internally-based orbifold-related fields that are Gliosis to the Hamiltonian operation of the overall said orbifold eigenset.  To Be Continued!  Sincerely, Sam Roach.

Monday, August 31, 2015

A Litte Bit of an Aside as to harmonic and annharmonic scattering

The tendency of a set of substringular members -- that are of a group-attractor-based genus -- is to work to help form a Reimman-based scattering of certain other respective given arbitrary substringular members, such as a harmonic scattering of superstrings -- in so as to work at helping to organize a cohesive set of one or more orbifold eigensets that are present at a set given arbitrary substringular region.  So, a group-attractor eigenbase will tend to work at helping to cause the integration of substringular members, since a group-attractor-related eigenbase works to help form a harmonic-based scattering, or in other words, a group-attractor-related eigenbase will tend to work at helping to cause a Reimman-based scattering, of, let us say in this given respective arbitrary case, an orbifold eigenset -- in so as to bring the correlative substringular members together, so that the here resultant cohesive set of superstrings may then be able to act as a conglomerate set of quantum discrete energy, that may then be able to perform one specific given arbitrary substringular Hamiltonian-based operation, over time.  Yet, the tendency of a set of substringular members -- that are of a ghost-inhibitor-based genus -- is to work to help form a Reyleigh-based scattering of certain other respective given arbitrary substringular members, such as an annharmonic scattering of superstirngs -- in so as to work at helping to disorganize or break-down a set of one or more orbifold eigensets or ghost anomalies, that are present at a given arbitrary substringular region, over time.  So, a ghost-inhibitor eigenbase will tend to work at helping to cause the loosening-up of the order of substringular members, since a ghost-inhibitor eigenbase works to help form an annharmonic-based scattering, or, in other words, a ghost-inhibitor eigenbase will tend to work at helping to cause a Reyleigh-based scattering, of, let us say in this given arbitrary case, a set of cohomological indices (a Reyleigh scattering will often work to scatter an initially organized set of ghost anomoly-based mappable tracings -- into a tense of relative disorder) -- in so as to bring the correlative substringular members apart, so that the here resultant dis-arranged set of substringular members will then tend to be pulled in such a manner in so as to be brought into a larger scalar amplitude of a proximal tense of relative entropy, so that the then annharmonic scattering of the so-stated or said ghost anomalies may then be able to be used in such a manner -- in so that the component substringular quantum units of the said scattered ghost anomaly-based stratum may be consequently utilized, in so as to be able to help in the process of the recycling of norm-stated phenomenologies, over time. To Be Continued!
I will continue with the suspense later!  Sincerely, Sam Roach.