Highly Magnetic Cohesive Set Of Discrete Energy Quanta

 A given arbitrary Noether-based mass-bearing cohesive set of discrete energy quanta, that is here to be of the nature of a specific given arbitrary Hodge-Index of a quantum energy state, -- is to tend to be of a highly magnetic nature; when it is both to work to bear an isotropically stable homeomorphic rotational spatial translation, over a proscribed duration of time, as well as when it is to work to bear an isotropically stable homeomorphic transversal spatial translation, over that same eluded-to proscribed duration of time. Sincerely, SAM ROACH. (1989).

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.

Some Interesting Stuff About The Beti Number

The Beti number is the Hodge-Index, as to either the net decrease or the net increase in the number of spatial dimensions, that a superstring is to respectively either compactify into or decompactify into -- over the course of the so-eluded-to translation of the said superstring -- as it is to be undergoing one of a multiplicit array of iterations of instanton.  A superstring is to tend to always bear a tense of a relatively momentary compacification of dimensionality, right before its correlative iteration of BRST -- while such a superstring is to tend to always bear a tense of a relatively momentary decompactification of dimensionality, during its correlative iteration of the Regge Action.  The Beti number is always a positive integer for the scalar amplitude of the decrease in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have decreased by when it is compactified.  The Beti number is always a negative integer for the scalar amplitude of the increase in the discrete dimensionality of a superstring, in terms of the discrete number of spatial dimensional parameters that it is to have increased by when it is decompactified.  This tends to be the case, when a superstring is altering in the number of spatial dimensions that is it here to exhibit -- as a Hamiltonian operator of Noether Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Spinors And Dilatinos

Take the expression for the euclidean expansion, that is of any one given arbitrary Majorana-Weyl-Invariant-Spinor eigenstate -- that is of cotangent bundle R4.  This just mentioned expression -- of which is here to be in terms of its scalar amplitude, is here to be considered when this is coupled while from within the framework of its directoral-related conditions.  The respective externalized reference-frame, via which this said eigenstate that is spinning in a back-and-forth manner at an internal reference-frame -- is here to be, as well, propagating through a Lagrangian-based path in a kinematic manner, via a Fourier Transform as a Hamiltonian operator, in a transversal manner, over time.  Now -- couple the said expression for the euclidean expression of the said spinor, with both the brief time that it is propagating through as it is traveling (as is it is spinning) along the course of its said Lagrangian-based path, AND a pointal-related mass, AND the average angle that the here mentioned spinor is to be spinning in a back-and-forth manner through, as it is spinning via a central coniaxial.  At this point in derivation -- the just eluded-to metric-gauge-related pulsation per cubic directoral-based meter -- that is here to be resulted in, may be thought of as a dilatino.  The consideration of meter that I have mentioned here, is generally to be conveyed, via the usage of the correlative Hodge-based indices that are of any one respective given arbitrary case. Such so-eluded-to Hodge-Indices, are to directly correspond to the correlative litigee of directorals, that are here to be most applicable to the coherent Ward-Cauchy-related situation of such a general genus of a case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

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.

Rham Cohomology And Charge Generation

Let us here initially consider a given arbitrary orbifold eigenset, that works to consist of being comprised of by mass-bearing superstrings -- that is here as an orbifold eigenset that is being translated as a Fourier-related De Rham cohomological Hamiltonian operator, that is here to not be in a tense of conformal invariance at its Poincare-related reference-frame -- that will tend to simply generate cohomology over time.  Thus -- such a given arbitrary orbifold eigenset, that works to consist of mass-bearing superstrings -- that is as an orbifold eigenset that is being translated as a Fourier-related De Rham cohomological Hamiltonian operator, that is here to not be in a tense of conformal invariance at its Poincare-related reference-frame -- will tend to reverse-fractal out to simply be generating charge over time.  The more of a Hodge-Index that there will then be, as to the number of discrete quanta of energy that are then to exist in the so-stated orbifold eigenset of mass-bearing superstrings, at its kinematic-varying proximal locus, that is here to be partaking in such a said cohomological Hamiltonian operation that is of the translation of the said De Rham cohomology over time -- the higher that the energy will be, in the so-eluded-to translation of charge per time.  The more energy that is here to be involved with any one respective given arbitrary charge, -- the more of a potential voltage that may be designated to the electrodynamic transference of the here so-stated orbifold eigenset, of such a respective given arbitrary case.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Parity Between Adjacent Scattered Eigenindices

Let us initially consider a cohomological pattern, that had just formed at one given arbitrary locus.  Let us next consider this said cohomological pattern, as a "snapshot" in the substringular -- as being of a Laplacian-related Ward-Cauchy case scenario.  Let us now consider that the norm-state-projections that an orbifold eigenset had acted upon here -- in so as to work to form the said cohomology -- had formed what may be termed of as a Reimman scattering to a respective extent, in so as to form the so-eluded-to generation of cohomology eigenstates.  Now, let us consider two of the eigenindices that have here to have just been formed by the said cohomological generation -- in such a case in which these two respective given arbitrary eigenindices, which are out of the much larger overall Hodge-Index of the overall cohomological phenomenology of such a respective given case, are here to be adjacent to one another, at the proximal locus of the correlative Laplacian Transform.  These two adjacent scattered eigenindices, are of a Reimman scattering -- to where these are to bear an even parity.  This then works to elude to the Ward-based condition, that, if one were to theoretically fold together the two different individually taken eigenindices at their central coniaxion towards one another -- this would work to form a general genus of an isomorphic symmetry, at the point of duration of the correlative "snapshot" of time.  I will continue with the suspense later!  To Be Continued!
 Samuel David Roach.

Inter-Connective Mini-Stringular Segmentation

What I am about to talk about first, is most related to substringular impedance -- so read carefully -- and  "hold onto your hats!"  The higher that the scalar amplitude of the Polyakov Action eigenstate is, the more mini-stringular segmentation that there will tend to be -- that is fed into the proximal locus of the directly corresponding first-order light-cone-gauge eigenstate.  The more mini-stringular segmentation that there will be, that is fed into the proximal locus of the directly corresponding first-order light-cone-gauge eigenstate -- the more mini-stringular segmentation that there will tend to be, that is fed into the correlative proximal local second-order light-cone-gauge eigenstates, that are here to have worked to comprise the earlier mentioned first-order light-cone-gauge eigenstate.  This relative insurgence of mini-stringular segmentation, will then tend to work at causing a relative insurgence of impedance-based interconenctive mini-stringular eigenindices -- of which will then tend to work to cause a relative increase in the scalar amplitude of the proximal local impedance-based covariant field eigenindices -- that will then tend to be proximal at the here relatively adjacent substringular neighborhood.  Here is an example, in so as to work to elaborate at what I mean by this.  Mini-Stringular segmentation is what works to inter-connect Ward-Cauchy-based substringular phenomenology, as well as the condition that mini-stringular segmentation is what works to form both substringular fields and the general basis of homotopy.  Such said segmentation is what works to hold the unfrayed quanta of energy in the space-time-continuum together, per each successive iteration of group-related instanton.  The more of a "Hodge-Index" that one is to relatively bear, as to the scalar magnitude of the degree of the mini-stringular segmentation, that is then to be present -- the more likely that there is to be a higher scalar magnitude as to both the number of mini-stringular inter-connections, as well as the number of inter-connective field eigenindices -- that may exist here, to be utilized in so as to then to work to bear a Yukawa Coupling with that general stratum, that is here to be most directly associated with such an increase in mini-stringular segmentation.  Thence -- when the Lorentz-Four-Contraction that is most directly associated with a phenomenon is low, and its consequent Polyakov Action, is then to be high -- then, its consequent light-cone-gauge eigenstate, and thus the directly corresponding wave-related tense of substringular impedance, will then tend to bear a higher stability of homotopic residue.  This will then tend to be the inverse as to what will happen to the correlative discrete quantum of energy permittivity.  This will then tend to, instead, to work to decrease the field-interconnection-based eigenindices, in so as to work to bear a lower stability of homotopic residue  -- that would otherwise work for superstrings of discrete energy permittivity.  "Superstrings," in my model, may be generally typified as being superstrings of discrete energy permittivity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Relative Pulse Of Norm-State-Projections

Since a Hausendorf norm-state-projection of one given arbitrary length, as this is taken along its topological surface at the Poincare level, will tend to work to bear a higher Hodge-Index than a Campbell norm-state-projection that is of the same given arbitrary length, as this is taken along its topological surface at the Poincare level --as this is correlative to the number of first-order point particles that work to comprise the correlative phenomenology of both such a  said comparative Hausendorf projection when in relationship to a said Campbell norm-state-projection, when this is taken in terms of the  holonomic substrate of the topological stratum of the said Hausendorf state in comparison to the latter mentioned genus of projection, when only working to consider this factor alone, such a respective given arbitrary Hausendorf norm-state-projection will then tend to bear a higher Hamiltonian-based pulse than a correlative Campbell norm-state-projection.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Holomorphic Direction Of Orbifold Eigenset

Let us consider the tendency for the holomorphic direction, of any one given arbitrary discrete energy quantum, that is of one particular genus of such a discrete quantum of energy.  (P.S.  The following is a general theoretical condition, in so as to help at eventually being able to understand what one is to be working towards, when one is here to be considering an actual case scenario).  Let us next, consider that there is to be a relatively large Hodge-Index -- as to the number of those discrete quanta of energy, that are to here to be present, from within the Ward-Cauchy-based bounds of one respective given arbitrary orbifold eigenset -- of which are to each be of that same general genus of discrete energy quanta, that the respective initially mentioned discrete quantum of energy was of, that I had brought-up at the beginning of this given post.  The influence that is to then to be attributed towards the holomorphicity of the respective given arbitrary orbifold eigenset, that is of the general genus, that is of the initially so-eluded-to genus of discrete energy quanta that I had inferred at the beginning of this post, will then tend to be the resultant average holomorphic direction, that is to then to be attributed to the net mean Lagrangian path, that one is to be able to extrapolate, -- when one is given the overall differential geometry that is to here to be related to the initial Laplacian-based Ward-Cauchy conditions -- that are here to be in correlation to the differential geometry of the initial substringular conditions, via which motion of the discrete energy quanta of the said orbifold eigenset is to be Yukawa to, over time. This will then help one to be able to then have a better ability to extrapolate the ensuing directoral-based holomorphicity of such a case, of the here said given arbitrary orbifold eigenset, over the ensuing sequential series of group-related instantons. I will continue with the suspense later!  To Be Continued! Sincerely, Sam Roach.

Externalized Core-Field-Density Of Light-Cone-Gauge Eigenstates

Let us here, consider one given arbitrary discrete quanta of energy.  As one is to approach such a quanta of energy, in a Laplacian-based manner over the course of any one respective given arbitrary metric of BRST -- the Hodge-Index of mini-stringular segmentation here, works to bear a higher scalar amplitude.  Such a "mesh" of mini-stringular segmentation, that is to have its bearings just outside of any one respective given arbitrary light-cone-gauge eigenstate -- is to here be said to exist as the "externalized core-field-density" of the said light-cone-gauge eigenstate.  When a photon is to strike any one said discrete quanta of energy in a "Gliosis"-based manner -- it is actually to come into contact with the just described externalized core-field-density of the respective said given arbitrary light-cone-gauge eigenstate.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Cyclical Heat Transference

Let us initially consider a set of orbifold eigensets, that are working together, in so as to form a molecule.  Such a so-stated molecule is to here be vibrating from within an initial reference frame -- in a tense of Majorana-Weyl-Invariance.  The annharmonic mode of the vibrational oscillation of the said molecule, is here to scatter the photons that are to here to be formed by the so-eluded-to shaking of the holonomic substrate of the said molecule, -- in so as to help at forming infrared photons, in the form of heat.  Let us next say, that there are here to be many adjacent molecules as such, -- that are to work to form a relatively high scalar amplitude of heat-based photons.  The heat that is here to be formed by the overall condition of these just mentioned molecules, will then tend to work to influence the extent of the overall vibrational oscillation of the individually taken tightly-knit Fourier Transform, of each correlative individually taken molecule that I have just eluded-to, -- in so as to help at working to increase that tendency of those oscillations of these molecules, that are to thence form additional heat energy -- in the form of a cycle of a relative perpetuation of the formation and the reformation of proximal localized infrared photons.  Such a relative perpetuation of annharmonic vibrational oscillations, will then work to form an interdependent tendency, as to what is here to be a cyclical flow of heat energy, -- since those so-stated molecules that act as interdependent nodes of Hodge-based indical stratum, are to then be fairly mutually brought into the occurrence of that general genus of vibrational oscillation, that is in that form of a cyclical differential transference of the so-eluded-to genus of electromagnetic energy, that is here to be scattered and re-scattered by those processes of the Rayleigh-based re-delineations of the topological eigenindices of the re-distributed topological stratum of the holonomic substrate of those orbifold eigensets that work to help form the here stated molecules, that are proximal local to the Poincare level of the so-eluded-to Ward-Caucy-based region of this case.  Such a general tense of a Rayleigh scattering, in the form of the perpetuation of heat energy, in the form of infrared photons, -- works to act as a classical example of a general set of Calabi-Yau interactions.  When these correlative substringular manifolds are to be most Yukawa to the Kahler-Metric, then, both the so-eluded-to mass-bearing superstrings and the correlative photons that act in so as to scatter upon them, work to perform a general genus of a Gaussian Transformation, which is known of as a gauge-transformation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Relative Density And The Gravitational Force

When one is to only vary in this general case, the gravitational force that is to here be Yukawa to the topological substrate of any one respective given arbitrary orbifold eigenset, over a set constraint of time -- the higher that the gravitational force is, that is Gliosis to the Ward-Caucy-based bounds of any one set orbifold eigenset, -- the more dense that the externalized shell of the said eigenset will tend to be, that is Gliosis to the immediate exterior of the so-stated orbifold eigenset, over the said set time constraint, that is to here be of one set gauged-metric that is to here be directly affiliated to what is to here be a relatively transient sequential series of group-related instantons.  So, when only the increase that is of the respective given arbitrary gravitational force is to here be considered -- in the case of the relative density of one respective orbifold eigenset over time -- the case will tend to be to where, the higher that the Hodge-Index is, as to both the number of Schwinger-Indices that are to here be initiated from within the Ward-Caucy-based bounds of the holonomic substrate of the directly corresponding orbifold eigenset -- as well as when such a discrete increase in the number of the so-eluded-to gravity-based waves is to here be coupled with an increase in the net overall resultant scalar amplitude of the intensity of such integrative so-stated Schwinger-Indices, when this net increase is to here be in terms of both the cross between the correlative Hamiltonian pulsation of the said gravity waves & the extent of the topological sway that is of that wave modulae that is demonstrative of those Schwinger-Indices that act here as gravity waves, -- then, the higher that the density of the directly corresponding externalized shell that is to here be Gliosis to the immediate outer region of that core-field-density that is of the GSO cohomological topological stratum of the immediate exterioralized field of the so-stated orbifold eigenset is to tend to be, -- over the time-based constraint that is of the group-related metric by which the said orbifold eigenset is to be translated as a Hamiltonian operator, that is to be brought through its directly correlative Lagrangian-bases path, as it is being moved through its correlative Hamiltonian operand, via the directly related Fourier Transformation in which the so-eluded-to superstrings that act in so as to perform one specific function, are to be working together as one metrical-gauge-based operational-based index, is then to be as such.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Conformal Invariance And Transversel Velocity

Let us initially say that there are two different orbifold eigensets, that are both of the same general constitution, as well as of the same Hodge-Index as to the general quanta of energy that are to work to comprise the two so-eluded-to eigensets, as well as working to bear the same directoral-based tense of its Lagrangian-based propagation, that are then of the same general genus, that are both of a Noether-based flow, that work to bear two different radial-based velocities -- at the vantage-point of a central Lorentz-based conipoint, yet, to where, these two so-eluded-to eigensets are to bear the same relative transversal-based velocity -- at the vantage-point of a central Lorentz-based conipoint, -- over a set gauged metric, that is both covariant, codeterminable, and codifferentiable, over a sequential series of group-related instantons.  This will then work to determine the condition, that, even though both of such said orbifold eigensets are to then to tend to here be of the condition, as to working to bear the exact same general scalar amplitude as to both the degree and/or the manner as to how loose and/or how tight the transversel eigenbase of the directly correlative Majorana-Weyl-Invariant-Mode of both of such said orbifold eigensets is, during the set group-metric, yet, both of such orbifold eigensets are to then to tend here to be of the condition, as to working to bear a different general scalar amplitude as to the degree and/or the manner as to how loose and/or how tight the radial eigenbase of the directly correlative Majorana-Weyl-Invariant-Mode of both of such said orbifold eigensets is, over the set group-metric. I will continue with the suspense later! To Be Continued!
Sincerely, Samuel David Roach.

A Little Reminder -- The Fujikawa Coupling

Electrons may be viewed of as mass that is energy that is wave that is particle, at the same time.  When an electron drops an energy level, while then returning to its immediately prior energy level -- a discrete amount of energy is then to be released from the said electron, in the form of a photon.  A photon is a discrete quantum of electromagnetic energy.  This happens, by the process of the directly corresponding one-dimensional superstring and its counterstring, that is released by the electron of such a case -- when it is tugged into bending in a hermitian manner -- to then be formed into a respective bosonic superstring and its correlative counterstring of discrete energy permittivity, -- via the Fujikawa Coupling, over a successive series of instantons.  The so-stated bosonic superstring of such a respective given arbitrary case, is more associated with the particle nature of a discrete quantum of electromagnetic energy permittivity -- while the so-stated correlative bosonic counterstring of such a case, is more associated with the wave nature of a discrete quantum of electromagnetic energy permittvity.  In the meanwhile, the respective light-cone-gauge eigenstate -- that is correlative to this given case, is altered from working to bear ten second-ordered light-cone-gauge eigenstates, to then working to bear only five second-ordered light-cone-gauge eigenstates ( as such said eigenstates are to then double-up in the Hodge-Index of the mini-stringular segmentation of their holonomic substrate, as to the cross-sectional thickness of the correlative chord-based topology of the so-eluded-to substrate, that is of the pheonomenology of such second-ordered eigenstates).  The correlative Fadeev-Popov-Trace eigenstate, is to here be torqued by this overall process -- yet, it will tend to still bear basically the same general genus of its morphological topological substrate, over the course of the process of the so-eluded-to group-metric of the Fujikawa Coupling.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Two Of Session 1 Of Course 20 -- Calabi Manifolds And Calabi Interactions

A closed-looped superstring of discrete energy permittivity,is generally a two-dimensional superstring.  A couterstring that is correlative to a two-dimensional superstring of discrete energy permittivity -- that is positioned during BRST at a spot that is just to the relative holomorphic side of the said closed string -- works to bear "substringular discrepencies" that are positioned during BRST, at a spot, that is at the opposite side of the "substringular discrepencies" that are of the so-stated two-dimensional superstring of discrete energy permittivity of any respective given arbitrary case, as the said superstring is homotopically attached to the said counterstring, during the course of any individually taken iteration of BRST.  During BRST. the mentioned discrepencies of the said counterstirng, work to bear orphoganal-Ward-Caucy-based conditions to the here mentionedscrepencies of the here said superstirng of such a respective given arbitrary case -- as the so-stated counterstring is here to be positioned at a spot that is, again, just to the relative holomorphic side of the spot where the said superstring is at.  The individually taken first-ordered point particles that work to comprise a counterstring work to bear a relatively high Hodge-Index of mini-stringular segmentation, that is stemmed at the Gliosis-based topological stratum of each of such eigenindices that work to comprise the said respective counterstring. Whereas, the individually takenfirst-ordered point particles that work to comprise a superstring, work to bear a relatively minimal Hodge-Index of mini-stringular segmentatino, that is stemmed at the Gliosis-based topological stratum of each of such eigenindices that work to comprise the said respective superstring.  This is part of as to why, superstrings of discrete energy permittivity work to act as the holonomic substrate that is of the particle-based nature of discrete quanta of energy permittivity -- while the correlatiev counterstrings of discrete energy permittiivty work to act as the holonomic substrate that is of the wave-based nature of discrete quanta of energy permittivity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little Bit More As To Phenotypical And Recessive Bonding Cites

When one set of one or more sub-atomic particles acts as the source of a phenotypical bonding cite, while a second set of one or more sub-atomic particles acts as the source of a recessive bonding cite -- the said set of sub-atomic particles that works to act as having the phenotypical bonding cite, acts as a "catylist," while, the said set of sub-atomic particles that works to act as having the recessive bonding cite acts as a substrate, -- by which the bonding cite that is to exist here, in so as to work to help to allow for the bonding that is to exist here between the two so-stated sets of sub-atomic particles, is to be Gliosis at the Poincare level -- at the set of those sub-atomic particles that act as having here a phenotypical bonding cite.  When the bonding cite, that is to exist at a locus that is positioned on the proximal locus of one set of one or more sub-atomic particles, is phenotypical -- this will tend to mean that there will here be a certain given arbitrary respective Hodge-Index of mini-stringular segmentation, that is effectual at the respective bonding cite, that is either of a cylindrical and/or of a shaft-like nature -- in so as to act as an eigenstate of the centralized knotting of the Rarita Structure.  Whereas, when the bonding cite, that is to exist at a locus that is positioned on the proximal locus of one set of one or more sub-atomic particles, is recessive -- this will tend to mean that there will be a certain given arbitrary respective Hodge-Index of mini-stringular segmentation that is effectual at the respective bonding cite, that is either of an oriface and/or of an annulus-based nature -- in so as to act as an eigenstate of what may here be thought of as a complentary homotopic nature in a directly covariant manner, towards the specific local correlative eigenstate of the centralized knotting of the Rarita Structure.  Often, one given arbitrary sub-atomic particle may have both of the just mentioned general types of bonding potentials immediately attatched to the holonomic substrate of its Gliosis-based topology, yet, the manner by which these so-eluded-to particles come together with other particles, will work to effect whether or not this will act as a particle that will act as having either a phenotypical or as a  recessive  bonding cite.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Both Phenotypical And Recessive Bonding Cites

When a sub-atomic particle is to bear what would here amount to of as having a recessive bonding cite, during which directly associated group-metric -- the other one or more sub-atomic particles that are to bond to the initially so-stated sub-atomic particle, are to bear what would here amount to of as having a phenotypical bonding cite -- then, that holonomic substrate as to the "fitting" of the bonding cite that is recessive, will not tend to bear an adequate Hodge-Index of that mini-stringular segmentation that is immediately Yukawa to the Fourier-based activity of the bonding by which the two so-eluded-to sets of sub-atomic particles are to bond -- via that Gliosis-based inter-relation, in which what is here to be the phenotypical bonding cite, is to, instead, work to bear that adequate scalar magnitude of a Hodge-Index of that mini-stringular segmentation that is immediately Yukawa to the Fourier-based activity of the said bonding of the two so-stated sets of sub-atomic particles, that are here to work to form a less fractaled composition, as to this tending to be of a higher order of the  building blocks of the construction of a given arbitrary respective atom.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Operators And Group-Attractors, Part Five

Superstrings of discrete energy permittivity, that act over time via a divergent series -- in so as to perturbate out of a relative tense of conformal invariance -- tend to have both more Laplacian-based changes and Fourier-based changes as well, to happen to the Gliosis-based respective field, that would directly appertain to the correlative nature of such superstrings in question.  Such so-stated strings of discrete energy permittivity, also tend to work to bear more Gliosis-based accelerations to happen to the holonomic substrate of their immediate field, at the Poincare level to their topological surface, than an otherwise convergent set of such superstrings would.  This  just-stated general tendency, tends to work to form more varied tenses of wave deformation to the multiplicit topological surface of such correlative superstrings of discrete energy -- that are to perturbate in a divergent manner, from one general substringular locus to another, via the processes of a relative tense of what would often here be the case of what may happen in a given arbitrary situation such as this, to where this could here work to form a Rayleigh scattering.  This is because, if a superstring is to be annharmonically altered in its Hamiltonian operand via a Cevita interaction -- to where the correlative adjacent eigenindices are of an odd chirality -- this will then tend to work to form a divergent re-delineation and/or a divergent re-distribution of the here mentioned eigenindices.  As a substringular entity is to be scattered through a field operand, to where this of which is to bear a scalar amplitude that may be described of as bearing a Clifford Expansion -- then, the multiplicit intermittent disturbances of space, that will thus bear more of a tendency to permutate such a "widening" Hamiltonian operand, will then tend to increase in its Hodge-Index, when this is taken relative to the euler eigenbase of the so-stated expansion.  Such an ever increasing influx -- that would often be happening in such a given arbitrary respective case, will often be borne into an expanding operand -- that will then tend to interact more than otherwise, with the so-eluded-to attenuated metrical-gauge-based Hamiltonian operator, that is to here be in the process of diverging as such.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Noether Current And Acceleration

Let us consider an initial situation, as to a given arbitrary orbifold eigenset -- that is to have one respective given arbitrary Hodge-Index as to the quanta of discrete energy that work to comprise the said orbifold eigenset.  Let us say that the said eigenset is to be of a Calabi-Yau nature.  This would then mean that the so-stated orbifold eigenset would be of a mass-bearing Ward-Caucy-based condition.  The said eigenset is here to maintain the so-eluded-to tense of its Hodge-based indices, as well as its other general features, over the course of what is to here happen.  Let us say that the said respective tense of the condition, as to the Majorana-Weyl-Covariant-based mode of the said eigenset, is to gradual loosen -- as the orbifold of such a case is to respectively and consequently increase in its rate of transference, from one given spot to another.  This would then mean that the directly corresponding Noether Current is to gradually increase, as the correlative tense of its directly corresponding Majorana-Weyl-Covariance is gradually loosened.  It is this just mentioned general course of Fourier-based activity, that works to accelerate the so-stated orbifold eigenset.  As the so-eluded-to Calabi-Yau-related mass-bearing entity is to decrease in its cohomological-based inhibition -- its Majorana-Weyl-Covariance is to decrease in its scalar amplitude, and consequently, both the scalar amplitude of the correlative Noether Current of the said orbifold eigenset is to increase, and the velocity of the correlative orbifold eigenset is to increase as well -- which would here work to accelerate the so-stated respective given arbitrary orbifold eigenset, over its correlative group-metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.