Nijenhuis Paths And Lagrangian-Based Chern-Simons Singularities

When one given arbitrary orbifold eigenset -- that is initially to be traveling along a hermitian Lagrangian-related path -- is to perturbate in what its correlative holomorphic direction was initially to be as -- in so as to spontaneously to bear a Lagrangian-based Chern-Simons singularity, that is here to be formed at the locus in which the said eigenset is to bear such a perturbation in direction, yet, to where, in the process of doing so, such a said respective orbifold eigenset is then to bear no directly corresponding metric-based Chern-Simons singularity, -- then, the so-inferred newly formed Lagrangian-based path, will then tend to be Nijenhuis to the initially stated Lagrangian-based path -- that is of such a respective case scenario.  To Be Continued!  Sincerely, Samuel David Roach.

Rarita Structure And Correlative Mass

Gauge-Bosons act -- in so as to pluck their correlative second-order light-cone-gauge eigenstates, in so as to form Schwinger-Indices.  Schwinger-Indices oscillate -- along what is known of as being that general tense of phenomenology, that may be termed of as being the Rarita Structure.  Schwinger-Indices flow as vibrational eigenstates, that work to delineate those physical forces -- that work to allow for the perpetual existence of space-time fabric.  Where there is here to be the existence of eigenstates, that are of or appertaining to the "centralized' knotting of the Rarita Structure, -- there is here to be the proximal local presence, of what may here be termed of as being "mesons."  Mesons work to "glue" together those sub-atomic particles, -- that need to come together, in so as to work to form the existence of mass.  Eigenstates of the centralized knotting of the Rarita Structure, therefore, work to form mass -- in the process of working to bring those eigenstates together -- that are needed to integrate with each other in a Gliosis-related nature, in order to work to form such said mass-bearing particles.  Consequently,,  -- the general activity that works to form the existence of mass, may then be thought of as being that node-related interception, that is of the flow of that general tense of vibrational oscillation-related phenomenology, that are here to initially be formed by the general activity of gauge-bosons that I have mentioned earlier in this post.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

E(6)XE(6) Oscillation-Based Tendencies That Tend To Be More Yukawa Towards Each Other

Let us initially consider a said Ward-Cauchy-related condition, in which there is here to be a set of orbifold eigensets, that are to each, when individually taken, to work to bear an E(8)XE(8) string oscillation-based tendency --  that is here to multiplicitly to be of an eminent Yukawa-related nature, -- when this is here to be based upon their correlative covariant relationship towards one another, over an evenly-gauged Hamiltonian eigenmetric.  This will then, as well, to be of such a nature, in so as to tend to work to cause such a set of orbifold eigensets, to then bear a respective covariant nature, in which these will also tend to bear their directly corresponding individually taken E(6)XE(6) string oscillation-based tendency, to then to be of an eminent Yukawa nature, when this is here to be based upon such a said general tense of a relationship towards one another, over an evenly-gauged Hamiltonian eigenmetric.  This will then work to mean, that such orbifold eigensets that are here to tend to work to bear such a said eminent Yukawa nature towards one another, will as well, to then bear a tendency of bearing a higher potential of working to bear more of an inter-relationship of their directly corresponding Schwinger-Indices, -- than orbifold eigensets that are to, instead, to bear a relatively Nijenhuis relationship -- when this in terms of such a so-eluded-to tense of covariance of  each of such so-eluded-to oscillation-related tendencies, towards the rest of such a so-inferred set of orbifolds that are of this second so-eluded-to general case scenario.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David  Roach.

Reason For Variance Of Chern-Simons Attribute

When one is here to consider the condition, of any one given arbitrary respective orbifold eigenset -- that is here to be traveling, over the course of any given arbitrary Fourier-related translation, that of the respective composite quanta of energy, that are here to work to comprise such a said eigenset, to here be in the respective process of operating to perform one specific function, which is here to be performed at one specific velocity -- will then tend to behave here in this respective case, to thence to be traveling as a whole, at one rate of a space-time-related translation of delineation, over the course of a respective given arbitrary evenly-gauged Hamiltonian eigenmetric, over one sort or another of a respective duration of time.  In the course of such a maintained velocity, that is here to be of the said orbifold eigenset as a whole -- those superstrings of discrete energy permittivity, that are here to be proximal local to the correlative angular momentum that is of the said eigenset -- will thence tend to need to work to bear a lower scalar amplitude of a correlative translation, that is of the spatial-related process of the delineation-related activity, that is of their composite eigenindices, that is to operate as such, in order for such a cohesive set of discrete energy quanta, to consequently to be able to allow for the said  overall orbifold eigenset, to then to be translated through such a so-eluded-to Fourier Transform at the so-eluded-to constant rate, over the course of the said general respective given arbitrary evenly-gauged Hamiltonian eigenmetric.  This just eluded-to tendency -- that I have just inferred to be of those eigenindices, that are of the field of such a said orbifold eigenset, that are here to be appertaining to those discrete quanta of energy, that are proximal local to the core-field-density of the angular momentum of the said eigenset -- is here to be part of the reason as to why there is to exist, the general tendency of those superstrings, that are most proximal local to the angular momentum of such a cohesive set of cooperating discrete quanta of energy, -- are then in such a case, to tend to bear a lower scalar amplitude of a Lagrangian-related Chern-Simons attribute, than that scalar amplitude that would otherwise exist, instead, if there was here to be the consideration, as to be dealing here with those superstrings that are external to that proximal local region, at which such a said Laplacian-based tense of a Ward-Cauchy-related condition, that is of the angular momentum of that said orbifold eigenset, is to be eminent at, -- over the said course of the inferred evenly-gauged Hamiltonian eigenmetric.  To Be Continued! Sincerely, Samuel David Roach.

Relative Field And Holomorphic Direction

When the general genus -- as to what the specific type of substringular field, that any one respective given arbitrary orbifold eigenset, is here to work to have been exhibited, over time, is to alter, -- this will then work to perturbate, as to what the correlative general relative genus of the intrinsic holomorphic direction will then tend to be, -- in so as to tend to work to alter the Lagrangian-based direction of the path-wise mappable-tracing, that is of the thence formed subsequent cohomological  Lagrangian-based path, that is then to be exhibited by such a said respective given arbitrary orbifold eigenset, over the immediately ensuing evenly-gauged Hamiltonian eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Scalar Amplitude Of Chern-Simons Attribute

Let us initially consider an orbifold eigenset -- that is here to be traveling, in the relative holomorphic direction -- over time.  The motion of the said given arbitrary orbifold eigenset -- that is here to be traveling in the respective holomorphic direction -- will tend to be propagated, with somewhat of a direct correlation, in so as to work to be relatively lined-up -- with the direction of that directly corresponding respective Laplacian-related bearings of a wave-tug potential, that is here to be most appertaining to the proximal local positioning, that is of the angular momentum of the so-stated orbifold eigenset.  Since an orbifold eigenset is a set of one or more discrete quanta of energy -- that operate, in so as to perform one specific function -- those superstrings of the said general genus of an eigenset, that are most proximal local to the relative Laplacian-related positioning of its directly corresponding angular momentum, that are of the said cohesive set of discrete energy quanta, -- will then tend to work to bear a relatively higher probability of advancing into their ensuing spatial delineations -- in such a manner, that is here to be of more of a hermtian-related nature.  This is then to consequently cause the physical Ward-Cauchy-related condition, -- to where, those superstrings, that are most proximal local to the respective cite, at which the angular momentum of its eminently correlative orbifold eigenset is to be tugged at towards -- will then tend to bear a relatively lower scalar amplitude of a Lagrangian-related Chern-Simons attribute, -- than those superstrings, that are, instead, to be external to that proximal local cite-based region, at which the respective Laplacian-based angular momentum of such a said orbifold eigenset is to eminently to be tugging towards, in so as to work to allow for the holomorphic translation of the said orbifold eigenset, over time.
I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

Correlative E(8)XE(8) Oscillation-Relateld Tendencies

The following, is some "food for thought," as to the nature of certain correlative E(8)XE(8) heterotic stringular-based oscillation-related tendencies:

E(8)XE(8) strings, are to act multiplicitly  -- as a general genus of an oscillation-related tendency -- in so as to help to work to fortify the multiple-dimensional bearings, of those directly corresponding orbifold eigensets, that are of such a said oscillation-based tendency, to where these just mentioned eigensets, are then to bear an eminent correlation to such a said tendency.
Such a just eluded-to general genus of a substringular oscillation-based tendency, is to tend to be more Yukawa to other orbifold eigensets, that are here to bear a covariant relationship -- that is here to work to bear such a just implied genus of an oscillation-related tendency, that is of a Real Reimmanian nature the one to the other, when this is here to be contrasted to other orbifold eigensets, that are, instead, to bear such an oscillation-based tendency, --  that is of a Nijenhuis-related tense of a covariant nature, when in relation to the initially implied general tense of an orbifold eigenset.
To Be Continued!  Samuel David Roach.

Some Stuff As To Neutrinos

Neutrinos that are here to be in the process of existing, under the Ward-Cauchy-based conditions, in so as to be Gliosis to the Kahler-Metric -- tend to be differentiating in an isotropic manner, -- in such a manner, in so that such said neutrinos are then to be cycling between oscillating in the direction of its annulus, while then next to be oscillating in the direction of its edge.  This just mentioned substringular tendency, happens to work to help at explaining the physical reason, as to why an individually taken neutrino -- is here to have the general tendency of moving through its multiplicit correlative Fourier Transformation, -- in a minimum of 12 spatial dimensions plus time.  Furthermore -- a neutrino has the tendency of iterating at BRST, in such a way, to where its angular momentum is here to often tend to be able to happen in the direction of its annulus, -- whether or not it is actually to be consistently to be in the process of  being tugged into this general said tense of a holomorphic-related direction, over time.  This general tendency, as to the angular momentum-related tendency of a neutrino -- works to assist at allowing a neutrino to then to be able to act, as one general genus of a Calabi-Yau manifold -- that is here to be propagated through space, via a set of one or more Legendre-related superstrings of discrete energy permittivity, over time -- in so as to be pulled into a commutative tense, of being of one general genus of a field-related energy -- that is here to be existent in the substringular, in so as to be appertaining here to the condition of acting as one respective given arbitrary tense of a general genus of phenomenology, that may here be expressed as a general genus of superstrings of discrete energy permittivity, that are, as is the usual tendency, to come together, in so as to act as a set of such superstrings that act as a "team," that are therefore here to exist, in the form of individually taken orbifold eigensets.
(Again -- orbifold eigensets, are sets of one ore more discrete quanta of energy, -- that are here to operate, in so as to perform one specific function, over time.)
To Be Continued!  Sincerely, Samuel David Roach.

Sub-Atomic Particles And The Wave-Tug Of Legendre Homology

The higher that the quantity is to be, as to the number of Legendre-related superstrings of discrete energy permittivity that there are then to be  present, in so as to work to form an eminent wave-tug upon a set of one or more mass-bearing superstrings of discrete energy permittivity -- the higher that the scalar amplitude will then tend to be, as to what the velocity of the directly corresponding orbifold eigensets, that are comprised in part of such said mass-bearing strings -- will then work to bear, over time.  Consequently -- the less Legendre-related superstrings of discrete energy permittivity that there are here to be present, in so as to work to form an eminent wave-tug upon a set of one or more mass-bearing superstrings of discrete energy permittivity -- the less that the scalar amplitude will then tend to be, as to what the velocity of the directly corresponding orbifold eigensets, that are comprised in part of such said mass-bearing strings -- will then work to bear, one time.
This then works to show, -- that electrons tend to bear a significantly higher Hodge-Index of Legendre-related superstrings, that are here to help at working to tug these so-inferred individually taken electrons, into their correlative multiplicit path, at a relatively external reference-frame, than, instead, what the correlative Hodge-Index that would here be present, when it comes to the number of Legendre-related superstrings, that would here be present, in so as to help at tugging the individually taken nucleons into there correlative multiplicit path, at a relatively external reference-frame.  This is a major factor -- that works to show the obvious fact, as to the physical rational that is here to be associated with the condition as to being part of, -- as to why electrons tend to travel from within the  Ward-Cauchy-bounds of an atom, at a rate that is far faster than nucleons.  From the vantage-point of the Poincare level of an atom, -- nucleons tend to act, in so as to be vibrating from within the nucleus of an atom at nearly a standstill, whereas, as well as from the vantage-point of the Poincare level of an atom, -- electrons tend to act, in so as to be consistently be in the process of oscillating around the nucleus of an atom in an elliptical manner, over time.
I will continue with the suspense later!   To Be Continued!  Sincerely, Samuel David Roach.

A Change In The Second Derivative

First of all -- what a "change in the second derivative" is, is when a curvature is to, at that point in space and/or in time, to either go from concave-up to concave-down, or, instead, to go form concave- down to concave-up.  Right where there is here to be any such change in the concavity of a curve and/or of a wave-like pattern, -- there is then, right at that spot at which such a said change is then to occur, what is known of as a change in the second derivative.  Let's take this now one step further.  Let us then initially consider an orbifold eigenset, that is here to be propagated along a sinusoidal path -- as such an eigenset is to be in the process of working to bear a relatively continuous transversal delineation-related mode, over an evenly-gauged Hamiltonian eigenmetric -- as the said orbifold eigenset, is here to be tranferred into the relative forward-holomorphic direction.  Consequently, one may here be able to arbitrarily consider that, as such a set of one or more discrete quanta of energy, that are here to be translated in both a transversal and in a spin-orbital manner, are here to be moving into this said forward-holomorphic path -- to where then, the wave that is thence most directly appertaining to the transfer of the said eigenset -- will then act, in so as to simultaneously, via an extrapolation, that is here to be relative to the vantage-point of a central conipoint in time and space, to go from arcing into the relative norm-to-forward-holomorphic direction,  into then relatively changing in the second derivative, -- to then be acting, in so as to be arcing into the relative norm-to-reverse-holomorphic direction, and so on; -- in so long as such a said wave-like pattern, that is of the said orbifold eigenset, is to continue to bear a sinusoidal translation as such, into the relatively forward-holomorphic direction.  Yet, if at some point in duration, such a wave-like tendency is then to be perturbated into a relatively continuous transversal delineation-related mode, that is here to still be resulting in an overall transfer into the holomorphic direction, over an evenly-gauged Hamiltonian eigenmetric -- to where it is then to work to bear a simultaneous, (via the vantage-point of a central conipoint), a spin-orbital translation, that is here to go from arcing into the relative Nijenhuis-norm-to-reverse-holomorphic direction, into then to be changing in the second derivative, to where such a wave is then to be arcing into the relative Nijenhuis-norm-to-forward-holomorphic diretion, -- and so-on, once again, as such a said orbifold eigenset, is to work to bear an overall transfer into the relative forward-holomorphic direction, -- to where this will then happen, in so as to work to form a wave-like pattern, that is to alter in the manner of its forward-holomorphic translation, by a scalar attribute, that is here to bear its resultant spin-orbital change of venue, by a multiple, that is here to be tantamount to being of the scalar amplitude, that is tantamount to being of (-i).  This, then, works to help at explaining that Ward-Cauchy-related condition, that is to generally exist from among a stated condition of a unitary Lagrangian-related operation -- as to the general relationship, that is here to exist from between any one given arbitrary Hamiltonian Operator and its correlative Lagrangian, that is here to most directly appertain to the comparison -- that is here to exist, in so as to describe, in a manner that is relatively more pictorial, -- the difference that is to be exhibited -- between the descriptive energy of any one given arbitrary respective Hamiltonian Operator, & its directly associated Lagrangian.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Nodes Of High Cohomology-related Generation

Mesons tend to exist -- where there are nodes of a relatively high cohomology-related generation, along the Rarita Structure.  I wil continue with the suspense later!  To Be Continued!  Sincerely, Sam.

As To The Possible Manners In Which Mini-Stringular Segmentation May Bend

In so long as there is the condition, to where any one given arbitrary set of one or more composite particles, that are definitively smaller than point commutators, that are here in this general case, to bead together, in so as to work to form the holonomic substrate of mini-stringular segmentation -- to where the just implied particles, are what I term of in this particular blog, as "second-order point particles" -- are here to not be in the process, of working to infringe upon the proximal local presence of any other given arbitrary set of one or more of such second-order point particles, -- to where this said tendency is to hold to be true, as long as the directly pertinent correlative respective physical stratum is, in such a respective case, to not be frayed in a black-hole, -- then, the corrlelative mini-stringular segmentation, that is here to be basically composed of by the said bead-like point particles mentioned here, will basically tend to be able to bend in any way that it will need to do -- in so long as it is in the process of tending to move in the direction, that it is most compelled to move in (in either the path of least resistence, or, in the path of least time).  This happens in such a manner, -- to where, in so long as any one given arbitrary unitary chord of such mini-stringular segmentation, is to not be fraying in a black-hole, then, any motion that is conducted upon such said mini-stringular segmentation, in a Gliosis-related manner, that would otherwise bear a potential tendency of such an earlier stated tense of infringement -- would then tend to work to form some manner of a repelling-related action, that will resultingly proceed in the condition-based direction of an optimum oscillation-like pattern, via an ensuing reactive perturbative vibration, that would here be in the process of working to bring a balance in the modulae of the said unitary chord of second-order point particles. I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To The Nature Of "e^(Ricci Flow)"

In any one given arbitrary case -- if (e^(Ricci Flow)) is to be greater in scalar magnitude than "one,"  then, the resultant value of (1/(e^(del of the Ricci Flow)), will be of a Real Reimmanian nature.
However, in any one given arbitrary case -- if (e^(Ricci Flow)) is to be lower in scalar magnitude than "one," then, the resultant value of (1/(e^(del of the Ricci Flow)) will be of a Nijenhuis nature.
This will then work to mean, that, one will then be either dealing with those two respective given arbitrary cases  -- when one is to here to be directly dealing with the previous two different respective cases -- with either a metric-gauge-related pulsation that is of a Real Reimmanian nature, or, one will be dealing with a general ulterior case, -- in which the metric-gauge-related pulsation will, instead, to be of a Nijenhuis nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Attraction Of Orbifold Eigenstates

Let us initially say, that one were to be considering two different orbifold eigensets.  Both of such said orbifold eigensets -- are here to be propagated at the same covariant-related velocity, over the course of some given arbitrary evenly-gauge Hamiltonian eigenmetric -- via some general genus of a Fourer Transformation.  Both of such so-stated orbifold eigensets, are here to be comprised of, by mass-bearing superstrings of discrete energy permittivity.  Since both of such just stated eigensets, are to work to bear a mass-bearing nature -- these two said orbifold eigensets, are here to both, individually taken, to bear the Ward-Cauchy-related physical condition -- as to be of a Majorana-Weyl-Invariant-Mode.  This will then work to mean, that both of such said eigensets, are here to be superconformally invariant -- at an internal reference-frame.  Whichever orbifold eigneset, is here to work to bear a higher scalar amplitude of a Majorana-Weyl-Invariant-Mode -- the more magnetism that such a said orbifold eigenset will then tend to display, over the course of the earlier mentioned duration, that is to happen over an evenly-gauge Hamiltonian eigenmetric.  To Be Continued!  Sincerely, Sam Roach.

As To Mass-Bearing Superstrings

Mass-Bearing superstrings of discrete energy permittivity, are to exist in orbifold eigensets -- of which are here to exist in a Ward-Cauchy-related condition, -- that may here be termed of as being of a Majorana-Weyl-Invariant-Mode.  A Majorana-Weyl-Invariant-Mode -- is to be superconformally invariant, at an internal reference-frame.  To Be Continued!  Sincerely, Samuel David Roach.

Infrared Energy Versus Sound

The anharmonic vibrations of those orbifold eigensets -- to where, in such a case, the just mentioned eigensets are here to exist as superstringular-related entities, that are to work to bear the general tense of being in the Ward-Cauchy-related condition, of what may here be termed of as being of a Majorana-Weyl-Invariant-Mode -- tend to form infrared energy, of which is commonly known of as heat.
&; The harmonic vibrations of those orbifold eigensets -- to where, in such a case, the just mentioned eigensets are here to exist as superstringular-related entities, that are to work to bear the general tense of being in the Ward-Cauchy-related condition, of what may here be termed of as being of a Majorana-Weyl-Invariant-Mode -- tend to form the general respective physical entity of sound.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Orthogonal Orbits

The physical condition of the orthogonal adjacent elliptical orbits of electrons -- as such said electrons are to be in the process of cycling around any one given arbitrary atom -- is influenced, by the condition of the previously implied relativistic E(8)XE(8) stringular oscillation-based tendencies.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Hint As To Earlier Implied Pattern

The following is an indirect hint, as to the ealier implied pattern:

i^(3) = (-i), i^(4) = 1, i^(5) = i, i^(7) = (-i), i^(8) = 1, i^(9) = i, i^(11) = (-i), i^(12) = 1, ...etc..

Next, consider the just mentioned "answers" to each be multiplied by "E(8)XE(8)."

Next, consider the so-implied "direction" of this pattern, to be moving, as is of a case, in which one is to be progressing in the relative forward-holomorphic direction -- in a Laplacian-related manner -- as is here to be in consideration with those pertinent orbifold eigensets, that are covariant in such a manner, by which these are here to be of the same general genus of field.

To Be Continued!  Samuel.

Relativistic Oscillation-Based Tendencies

Let us initially consider one given arbitrary mass-bearing orbifold eigenset -- that is of one specific general genus of superstringular field.  It is to have an oscillation-based tendency -- that is here to work to help at fortifying the core field of the said orbifold eigenset -- that may here be described of as being an "E(8)XE(8)" heterotic string.  Let us next stipulate, that there are here, in this respective given case, to be the presence of three orbifold eigensets to be considered here in this particular case, that are here to be of the same general genus of a superstringular field -- in so as to each be covariant in delineation, in the same general tense of holomorphicity, -- in such a manner, to where all three of the so-eluded-to orbifold eigensets, are here to be of the same universal setting.  Let us next specifically consider the central of the three orbifold eigensets, to be delineated at a Laplacian-based positioning, that is just to the forward-holomorphic side of another one of these three orbifold eigensets.  The pertinent oscillation-based tendency of the orbifold eigenset that is here to be in the center of the three so-stated orbifold eigensets, will then tend to work to bear a relativistic oscilation-based tendency -- that is of the nature of bearing a scalar amplitude of
(i*(E(8)XE(8)), when this is here to be taken in covariance with the orbifold eigenset, that is here to be delineated at a relative positioning, that is just to the reverse-holomorphic side of the said "central" positioning, when this is here to be taken along the so-implyed holomorphic field.;  Whereas,
the pertinent oscillation-based tendency of the orbifold eigenset, that is here to be delineated in the center of the three so-stated orbifold eigensets, will then  tend to work to bear a relativistic oscillation-based tendency -- that is of the nature of bearing a scalar amplitude of (-i*(E(8)XE(8))), when this is here to be taken in covariance with the orbifold eigenset, that is here to be delineated at a relative positioning, that is just to the forward-holomorphic side of the said "central" positioning, when this is here to be taken along the so-implyed holomoprhic field.  Furthermore -- if one were to, instead, to consider what the respective pertinent oscillaltion-based tendency would be, -- of an orbifold, that is of the same general genus of a field, that is here to be delineated in a holomorphic manner, that is to be placed at two orbifold eigensets ahead of an initially considered orbifold eigenset of that field, -- the said covariant pertinent oscillation-based tendency of this said eigenset that is to be placed in a Laplacian-based manner at the said locus -- that is here to be at two relative placements ahead of the initially said one, would then work to bear a scalar amplitude of (-i*(E(8)XE(8))), when this is here to be taken in covariance with the initally stated orbifold eigenset. This is the tendency of such a general pattern.  I will conitnue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Nodes -- First-Order Point Particles

First-Order point particles are formed, where there is the explication of what tends to be the simplest general genus of a node of entangled mini-stringular segmentation, aside from certain substringular chord-like phenomenology.  To Be Continued!  Sincerely, Samuel David Roach.

Some Cool Stuff About Reverberation Invariants

Reverberation Invariants -- what are these?  Here is one unique general genus, as to what a person may sometimes mean -- when they are here to refer to the term "reverberation invariants," -- when this is here to be taken at the substringular level.  Let us look at a closed string, that is here to be of a symplectic geometry, to where such a said superstring is here to be altering in its motion -- when this is in terms of its relationship, relative to light -- over the course of one given arbitrary set of iterations of group-related instanton.  After a certain brief evenly-gauged Hamiltonian eigenmetric, -- those partitions, that are here to work to involve the condition of that homotopic residue -- that is here to be directly related to the Polyakov Action that is pertinent to the relative motion of the said respective superstring of discrete energy permittivity, are then to tend to alter in their relative delineation and scalar amplitude -- as is according to the re-adjustment of the motion of the said superstring, when in relationship to both the motion and the existence of electromagnetic energy.  In the process, the proximal local Fock Space, that is of the given arbitrary respective region, will then tend to metaphorically act like a "spring" of seemingly disoriented first-order point particles, that are here to act, in so as to work to transfer a reverberation effect, that may here be thought of as a tense of a rippling effect, -- along the topology of the said string.  Entropy tends to be caused by the scattering of electromagnetic energy.  The Gliosis-related impact that is here to be formed,when electromagnetic energy is to scatter upon phenomenology -- tends to form an eminent effect upon the directly corresponding externalized core-field-density of those light-cone-gauge eigenstates, that will have thence to have just been struck by photon-related energy.  Such a direct impact, will thence tend to work to effect those vibrations that are to be formed by the plucking of second-order light-cone-gauge eigenstates by their correlative gauge-bosons.  This just mentioned tendency, will then tend to work to perturbate the nature of those Schwinger-Indices -- that are thence to be formed by the earlier so-stated plucking effect of gauge-bosons upon the said second-order light-cone-gauge eigenstates.  The quantization of Schwinger-Indices, that are propagated in such a manner -- that is both transversal and perpendicular -- as well as being of such a nature, in so as to then to work to bear a wavelength that is anywhere from between 5*10^(-22) of a meter to 4*10^(-18) of a meter in scalar magnitude, are what may be thought of as being the phenomenology of gravitational waves.  The activity of the relatively consistently occurring mingling of such gravitational waves, when this is here to be fractaled down to a level that may be more directly Yukawa to a superstring of discrete energy permittivity -- that is here to interact upon the topology of discrete energy in a ripple-like manner, over time, is what I had meant by the phrase, "reverberation invariants."
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

When Yukawa

When one given arbitrary source of Ward-Cauchy-related phenomenology, is either to add and/or to detract -- from the energy of any one external given arbitrary Hamiltonian Operator, that is here to exist in time and space, -- then, this initially said given arbitrary source of Ward-Cauchy-related phenomenology, may then be said to bear a Yukawa Coupling upon the holonomic substrate, that is of the so-stated respective external given arbitrary Hamiltonian Operator, over a respective given arbitrary evenly-gauged Hamiltonian eigenmetric.  Two or more different Ward-Cauchy-related sources, that are to bear an eminent effect upon one another -- are then said to be Yukawa towards each other, in one manner or another.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Group-Attractors Versus Ghost-Based Inhibitors

Gauge-Actions that act -- via a Yukawa Coupling -- in so as to work to amplify the scalar amplitude of a given arbitrary Hamiltonian Operator, -- will tend to be mathematically expressed, in terms of a set of one or more euler-related operators, that are here to be described of as bearing the resultant of a net state of a positively powered expression of exponential entities.  Such a set of gauge-action-related eigenstates, that are here to tend to amplify the energy-related potential of a given arbitrary respective Hamiltonian Operator -- will tend to be of the holonomic substrate, of what may here be described of as being "group-attractors."  Whereas; gauge-actions that act -- via a Yukawa Coupling -- in so as to work to attenuate the scalar amplitude of a given arbitrary Hamiltonian Operator, -- will tend to be mathematically expressed, in terms of a set of one or more euler-related operators, that are here to be described of as bearing the resultant of a net state of a negatively powered expression of exponential entities.  Such a set of gauge-action-related eigenstates, that are here to tend to attenuate the energy-related potential of a given arbitrary respective Hamiltonian Operator -- will tend to be of the holonomic substrate, of what may here be described of as being "ghost-based inhibitors."
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Conflicting External Lagrangian-Related Motion

The higher that the scalar amplitude is to be, when this so-eluded-to tendency is to be pertinent to those forces, that are here to be influential upon the topological stratum of any one given arbitrary orbifold eigenset -- as to the relative amount, of the presence of the proximal local effect of "conflicting" relatively external Lagrangian-based forces, to be Yukawa upon the holonomic substrate of the respective so-mentioned given arbitrary orbifold eigenset, that is of such a general case, -- this will then work to form the general tendency, -- that is of a relatively hightened tendency to then act in so as to exist, in which the said orbifold eigenset of such a said respective case, will then tend to bear a resultant of a higher attribute of the condition of conformal invariance -- than an orbifold eigenset, that is to, instead, to bear a lower scalar amplitude of the presence of the proximal local effect of "conflicting" relatively external Lagrangian-based forces, to then to be Yukawa upon the holonomic substrate of such a general genus of a given arbitrary orbifold eigenset, -- in such a manner, that would thence work to display a smaller degree or amount of conflict, from among those superstringular gauge-actions that are then to act, in so as to bear a tense of one manner or another, of a lowered "foothold" upon such a so-eluded-to general genus of an orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Phenomenology And Lagrangian-Based Paths

The multiplicit transference of discrete quanta of electromagnetic energy, tends to conform to a unitary Lagrangian-based path.
The multiplicit transference of discrete quanta of kinetic energy, tends to conform to a binary Lagrangian-based path.
The multiplicit transference of those discrete quanta of mass-bearing energy, that we would tend to normally think of -- such as, for example, the mass-bearing discrete quanta of energy, that are known of as quarks, -- tends to conform to a tertiary Lagrangian-based path.
However -- the multiplicit transference of Higgs Boson eigenstates, tends to conform to a quaternionic Lagrangian-based path.
It is the primeval existence of Higgs Boson eigenstates, that worked to form -- what we tend to think of now, as being the initially existent superstrings of discrete energy permittivity.
I will continue with the suspsense later!  To Be Continued!  Sincerely, Samuel David Roach.

Mass-Bearing Eigenstates And Gravity

The more that there is here to be the proximal local presence, of the eminent exhibition of mass-bearing eigenstates, -- the higher that there will then tend to be, the quantity of a proximal local Hodge-Index of eigenstates, that are of the proximal local "centalized knotting" of the Rarita Strcuture, to be locally present, from within the said proximal local region in which there is here to be a relatively high bearing of mass-bearing phenomenology. This will then tend to work to cause there, to here to be a relatively high local presence of gravity waves, from within the here to be adjutant and adjacent proximal local region -- in which there is here to be a relatively high quantum of mass-bearing superstrings of discrete energy permittivity.  This then works to tug the adjacent phenomena, in a Yukawa-related manner, upon its so-eluded-to "centralized" stringular phenomenology.  To Be Continued!  Sincerely, Samuel David Roach.

Symplectic Versus Khovanov Knotting Equations

When one is to work to determine the knotting equations for a system of cohomology, to where these so-eluded-to equations are here to work to be describing a symplectic geometry, -- the main difference that there is, between the formulation of this said cohomology and the formulation of a Legendre homology, is that, when determining a cohomology, one is here to be converting a Minkowski space into a Hilbert space; whereas, -- when one is to work to determine the knotting equations for a system of a Legendre homology,  to where these so-eluded-to equations are here to work to be describing a Khovanov geometry, -- the formulation of this said general genus of homology is as such, to where one is to instead, to be converting a Hilbert space into a Minkowski space.  To Be Continued!  Sincerely, Samuel David Roach.

Metric-Related Pulsation And Dimensional Compactification

Metric-Related singularity, is here to be directly involved with the dimensional-related pulsation -- that is of a set of one or more discrete quanta of energy, over time.  So, if an orbifold eigenset is to change in either the number of spatial dimensions that it is here to be exhibiting, Or, in its rate of pulsation over time, -- then, such a said orbifold eigenset is to then to be indicating, that it is here to be working to bear a metric-related tense of one or more Chern-Simons singularities.  Furthermore, -- if an orbifold eigenset is to be of the nature, as to here to be having what may be described of as being of a flat Ricci Curvature -- then, such a said orbifold eigenset is to here to be in the process of maintaining the same number of spatial dimensions over time.  Consequently, in so long as an orbifold eigenset, that is to here to be working to bear a flat Ricci curvature, -- is to here to be consistent in maintaining a constant rate of pulsation in the substringular, over time, -- then such a said orbifold eigenset, will then tend to work to bear no metric-related Chern-Simons singularities.
I will continue wth the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Mini-Stringular Segmentation And The i*PI(del) Action

Here's some metaphorical "food for thought."
What the "action" of the said i*PI(del) action is to be, is the multiplcit and multivarious interactions, that are of those directly corresponding loci of mini-stringular segmentations, that are to act or exhibit here -- a set of gauge-metric eigenstates, that are here to work to tend to result in, -- the correlative conditions, by which the multiplicit discrete quanta of energy permittivity are to then to have a Laplacian-related delineation of those "partition-based discrepancies," that are here to be distributed as inferred, -- as is to be proportional to the directly corresponding eminent Polyakov Action.  This "action" of increments, of what may be thought of as being "quanta" of zero-point-energy -- works to not only help-out in delineating the appropriate number of partition-based discrepancies per superstring and its correlative counterstring, as is as accordling to the scalar amplitude of the Polyakov Action, -- it also tends to work to follow the same general "trend" of attribution, to all of the superstrings, that are of one given arbitrary respective orbifold eigenset.  To Be Continued!  Sincerely, Samuel David Roach.

Light Scattering And Gravity Waves

Whenever a photon is to strike an electron, -- the here implied Gliosis-related contact, will tend to be here, an eminent Yukawa Coupling between the said photon & the externalized core-field-density of a first-order light-cone-gauge eigenstate, that is of such a said electron.  Not only will such a direct contact -- as is here to be between a discrete quantum of electromagnetic energy (a photon) and a first-order light-cone-gauge eigenstate that is of one electron (at the externalized field-density of such) -- work to help at causing the so-stated electron to fall back-and-forth an energy level, in so as to work to form a photon, (since such a general condition, works to involve an electron to here to be releasing its spare energy, in the form of a discrete quantum of electromagnetic energy -- in so as to be in a state of optimum rest), yet, such an inferred tense of the scattering of light or electromagnetic energy, since it is here to involve a direct contact upon the external core-field-density of a given arbitrary light-cone-gauge eigenstate, this will happen to where such a general genus of activity, is thus to work to have an eminent effect upon those vibrational oscillations, that are here to be produced by the plucking of the composite second-order light-cone-gauge eigenstates, of which work to comprise the earlier mentioned first-order light-cone-gauge eigenstate.  Consequently, -- such a wave-tug upon the proximal local field -- as to where the inferred Schwinger-Indices that are here, when combined in an appropriate manner,  to be involved in the formation of gravity waves -- to where these inferred-to propagated vibrations, that are here to ripple-out, in so as to work to help at causing both the presence and the activity of the four general forces of physical nature -- are then to tend to become of more of an anharmonc nature, when such a Gliosis-related contact is to be happening, when this is in terms of a beam of electromagnetic energy to be scattering upon the electron of a given arbitrary atom.  This general genus -- that is of an increased tendency of anharmonic vibration-related activity, will then tend to work to increase the relative entropy of such an inferred to proximal local region.  I will continue with suspense later!  To Be Continued!  Sincerely, Samuel Roach.