Homeomorphic Cohesive Set Of Discrete Energy Quanta And Magnetism

 The more that a given arbitrary Noether-based mass-bearing cohesive set of discrete energy quanta, is to behave in a homeomorphic manner, the more that it will consequently tend to bear a greater tense of a Majorana-Weyl-Invariant-Mode; which will thereby tend to work to allow for such a just mentioned Noether-based mass-bearing cohesive set of discrete energy quanta, to consequently tend to work to bear a greater scalar magnitude of conductivity. I will continue with the suspense later! Sincerely, Samuel David Roach.

General Genre Of Cyclic Permutations

I can immediately think of three different general genre of cyclic permutations.:  1)These may be Calabi-based. -- There may be fluctuations in any one respective given arbitrary tense of a Majorana-Weyl-Invariant-Mode, that is Poincare to the so-eluded-to internal reference frame -- that is of the correlative topological stratum of the correlative holonomic substrate.  2)These may be metrical-based. -- There may be an analogous but different relatively proximal local gauging of the directly corresponding group-metrics, that may be effectual to the Gliosis-based topological stratum, that is here of the correlative holonomic substrate at the Poincare level.  &, 3)These may be Lagrangian-based. -- There may be analogous but different relatively proximal local Lagrangian-based paths, that may be attributed to the correlative metrical-gauge-based Hamiltonian activity that may be traversed, -- over the course of a directly corresponding Fourier Transformation, that would here be happening at an internalized gauged reference frame.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Continuation As To Noether Current Versus Relativity

What I just elaborated in the last post that I have just recently published, is due to the condition -- that, in general, the decompactification of a Calabi-Yau manifold into a Calabi-Wilson-Gordan manifold, works to square the Hodge-based index of the effect of that decompactification of spatial dimensions, -- that happens when a mass-bearing manifold is to convert into more of a kinetic energy-based manifold, to where the bosonic nature of the mass-bearing strings of an orbifold eigenset are to invert into a larger number of fermionic strings of a kinetic-based nature -- in proportion with that increase in the Noether Current that is succinct with that increase in the delineatory index of the said orbifold eigenset, that we would call an increase in velocity.  This is primarily based upon the general template of a cohomological-based condition, that is of a ghost-based pattern, that works to bear no Rham-based ghost inhibitors -- to where the Majorana-Weyl-Covariant-Mode is basically ineffectual upon the directly corresponding orbifold eigenset, that are of such a given arbitrary case scenario.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Antiholomorphic Kahler Conditions And Cohomological Degeneration

Let us initially consider either a given arbitrary superstring of discrete energy permittivity, or, a given arbitrary orbifold eigenset of discrete energy -- the latter of which is comprised of one or more superstrings of discrete energy permittivity, that is traveling through the medium of a respective Hamiltonian operand, via a correlative mean Lagrangian path -- in what we will consider here to be a substringular delineation, that is being propagated through in the relative forward-holomorphic-based direction.  Let us next consider that there is an external force, that is to ensue to act in a Fourier-based manner, at the Poincare level, at a positioning that is just outside of the proximal locus of the Majorana-Weyl covariant substringular neighborhood, at which the said superstring or orbifold eigenset is differentiating at, in a Fourier-based manner, by way of its said relatively forward-holomorphic pulsation, that is to here bear a topological sway -- via what may here be described of as an initial eigenpulse, that is veered to the relative left of its prior locus of delineation.  Let us here say, that the so-stated external force that was just mentioned, is to spontaneously act in so as to reverse the holomorphic directional pulsation of the here so-stated either discrete energy quantum or quanta of energy -- to where this is to then work to form both a metrical-based Chern-Simons singularity and a Lagrangian-based Chern-Simons singularity, in the course of the activity of the said external force, that is being imbued, in such a manner, in so as to help to work to form an antiholomorphic Kahler condition.  This course of action will then, in this case, tend to act or work to form the ensuing Fourier-based differentiation of a proximal local Kahler-Metric, yet, such a general genus of a kinematic-based differentiation, that is to here work to help allow for the continued existence and persistence of local energy, works as well to help in the perpetuity of the continued existence of Gaussian Transformations to occur, in so as to as well, to help to tend to cause at least a little bit of a delineation of the initially so-eluded-to forward-holomorphic-based cohomological stratum -- that had just been formed as the physical memory of the immediately previous activity of the here so-mentioned given arbitrary superstring or set of superstrings, to bear a respective proximal localized degeneration of at least some of the ghost-based indices that had been initially formed by the so-eluded-to orbifold eigenset, in its initially so-eluded to generation of ghost-based indices, from before the so-eluded-to reversal of its directoral-based topological oscillation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To The Pull Of The Strong Force

Let us here consider one general eigenstate, as to a relatively localized wave-tug/wave-pull of the strong force -- to where this is comprised of one general Hamiltonian operational-based cite as to where a gluonic-based force is either tugging and/or pulling at, in one specific locus, over a relatively transient duration of time.  A gluonic-based force is to exist at a locus that is working to inter-bind a set of two quarks to one lepton -- in so as to bind the said two quarks to the said lepton, in so as to work at making the composition of one respective given arbitrary proton.  The said proton that is held together in part by the so-stated gluonic force, as usual, is relatively centered from within the general Ward-Neumman physical confines of the nucleus of an atom -- to where one is to have a relatively stable hydrogen atom, since the directly corresponding atom in which the respective said proton is to work to form at here -- is of the nature of having both only one proton and only one electron.  The gluonic-based force that is here directly affiliated with the so-stated proton -- that works to form the said electrically stable atom, is of the nature of a centralized knotting of a Rarita Structure eigenstate, to where this respective said "centralized knotting" of a discrete increment of the Rarita Structure -- of which is of a manner by which the strong force, that is of the nature of binding together some of the essential phenomenology of atomic-based holonomic substrate, is then made to be correlative to the nature of the gravitational force -- by the nature of what is here a direct affiliation of the scalar effect of the Ricci Scalar with that general force that works to inter-bind sub-atomic particles that work at forming the phenomenology that is to construct the composition of atoms.  Let us now say that the said gluonic force -- that is correlative to the composition of the proton that is to here exist at the nucleus of the so-stated given arbitrary atom, is to work at bearing both one specific transversal-based Hamiltonian operation, one specific radial-based Hamiltonian operation, and/or one specific spin-orbital-based Hamiltonian operation, in such a manner to where the directoral-based wave-tug/wave-pull of the so-stated gluonic-based force is to then be of the nature of being intrinsically pushed and pulled as according to the scalar magnitude of the angular-affiliated eigenbase of the resultant force of the so-eluded-to implementation of the fractal of the subatomic angular momentum that would then be directly corresponding to the activity of the so-eluded-to wave-tug/wave-pull of the so-stated gluonic force, that is undergoing the eluded-to push and pull that may be extrapolated at its general Majorana-Weyl-Invariant mode, as an eigenstate of the centralized knotting of the Rarita Structure. Such a so-eluded-to sequential series of Laplacian-based steady-state iterations of subatomic activity -- that are of a relatively tightly knit tense of conformal invariance at a relatively set locus -- is to here be of a non-perturbative tense of Fourier-based translation, -- to where the general effect of such an eigenstate of the strong force, will then work to bear a reiterative set of cyclic permutations that will tend to be kept from within a relatively proximal region that is Poincaire to the general abelian operation of the Fourier-based translation of the respective given arbitrary Ward-Caucy-based region, in which the said proton is to be both codifferentiable and codeterminable at, over the so-eluded-to relatively transient duration of time in which such a tense of conformal invariance is of a non-perturbative nature. This so-stated general tense of directoral-based wave-tug/wave-pull will then work to form the general tendency as to the intrinsic activity of the atom that has been implied here -- by which the activity of the external forces that are to be applied to the Ward-Caucy bounds of the so-eluded-to eigenstates of both the respective gluonic-based force and its respective directly corresponding atom that it works at helping to form, will then have a basis as to how the resultant eigenbase of Fourier-related interaction will then be able to transpire -- from that point in group metrical activity to its ensuing sequential series of physical iterations of group-related instantons, over the so-eluded-to duration of time.

A Litte Bit As To Valence Stability

As everyone knows, if an atom has six protons in the region of its nucleus -- as well as the said atom having six electrons surrounding the region of its nucleus, then, the said atom, in and of itself, may be described of as a charge-wise stable particle.   This would then mean that the six positively charged protons of such a so-stated atom will be complemented by the six negatively charged electrons of the said atom, that is at hand.  So, the overall electron voltage of the overall positive charge of the atom -- of which is relatively centered From the nucleus of the said atom Towards its exterior -- will here be countered by the overall electron voltage of the negative charge of the atom, to where this said countering of negative charge is taken From the exterior Towards the interior of the nucleus of the so-stated atom of such a given case.  This would here work to attain the condition in this case, of the state of a stable atom -- that would here tend to bear no spontaneous valence charge at all, unless there is an overt force that acts upon the said atom -- in so as to form a static charge.  So, there will tend to be in this case, at the Ward-Neumman bounds of the Majorana-Weyl-Invariant-based region that is interior to the region that lays from within the physical bounds of the spot, where the atom of such a given arbitrary case is at -- :one Njenhuis-based positive charge for every Real Reimmanian-based positive charge, stemming in a manner that is both orthogonal to the respective given arbitrary Real Reimmanian plane of such a case, as well as being orthogonal to the directoral-based wave-tug/wave-pull of the overall angular momentum J(S+L) of the topological sway of the so-eluded-to individually taken positive-based charges, that are extended from and propagated from the so-stated protons of such an atom; and, there will also be, one Njenhuis-based negative charge for every Real Reimmanian-based negative charge, stemming in a manner that is both orthogonal to the respective given arbitrary Real Reimmanian plane of such a case, as well as being orthogonal to the directoral-based wave-tug/wave-pull of the overall angular momentum J(S+L) of the topological sway of the so-eluded-to individually taken negative charges, that are extended from and propagated from the so-stated electrons of such an atom.  This arrangement of the charges that are incorporated from within what would here tend to be a perfectly charge-wise stable atom, tend to be pulled into the interior bounds of the said respective atom.  What I mean by the Ward-Neumman bounds of the atom, are the physical bounds of the respective atom that is being discussed -- in and of itself.  What I mean by the Majorana-Weyl-Invariant-based region of the atom, in this case, is this:  whether or not the atom is moving transversally as a whole, and/or, whether or not the said atom is existing from within something that is moving transversally as a whole, as well, we are still working here to consider the activity of the atom, as a physical entity that is being considered in this case as being in a relatively transversal-based motionless mode -- as a holonomic substrate that would then be here considered over the course of a relatively respective given arbitrary Laplacian-based transform -- in order to consider those mappable tracings, that would then elude-to the determination of what I have discussed here.  To Be Continued!  Sincerely, Sam Roach.

The Very Next Part of Session Five of Course 19 -- The Klein Bottle and Orbifold Differentiation

Let us now consider the Majorana-Weyl-Invariant-based field of the so-eluded-to given arbitrary orbifold, that I was beginning to describe earlier in this respective given session.  As the Majorana-Weyl-Invariant-based field that was so-mentioned, differentiates in a Fourier-based manner, as a mechanism that works to inter-relate a Hamiltonian-based operation -- that is of a spinning-twist-based torsion.   (The orbifolds that have here been brought into a conformally invariant-based setting -- bear a here relatively locally proximal, as well, set of spin-orbital Njenhuis tensors -- that operate in so as to kinematically differentiate off of here what is of the relative Real Reimmanian Plane, that is of the here directly corresponding Majorana-Weyl-Invariant-based field.  This happens, in so as to work to form a tense of a propagation, that is of the overall summed Hodge-Index -- that is of the Hamiltonian-based-operational fractals of the so-eluded-to magnetic field eigenbase of this respective given arbitrary case.  The here mentioned relatively proximal tense of indices -- that would here work to form the overall set of Hamiltonian operators, that would work in this case in so as to be what would here work to comprise the so-stated local fractal of magnetism, this of which is demonstrative in the set respective given arbitrary substringular neighborhood of this given case, acts, in so as to comprise that interconnection of the holonomic substrate of the said locally proximal orbifolds, that have here come together or integrated in so as to work to form the so-eluded-to regional orbifold eigenset of this respective given arbitrary case.  Theses said orbifolds, that have here come together in so as to form the given said orbifold eigenset -- are binded together via a tense of heterotic strings, that may be described of as E(8)XE(8) strings, these of which are of a heterotic nature, over time.  These said E(8)XE(8) heterotic strings, work to hold together the orbifolds of an orbifold eigenset, by proximally twisting as if these were gears, that operate in so as to bear a tensoric genus of substringular torque -- in such a manner that acts as is according to the scalar magnitude of the compactified slack of that wave-tug/wave-pull -- that acts here in an abelian manner, upon the holonomic substrate of the said heterotic E(8)XE(8) strings, these of which are, again an example of what are known of as heterotic strings.
To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

Part Four of Session Five of Course 19 -- The Klein Bottle and Orbifold Differentiaition

The homotopic eigenbase of the conformally invariant-based, or steady-state, field, of any given arbitrary orbifold eigenset, is the Ward-Caucy-based covariant, codeterminable, and codifferentiable existence -- and also the Fourier-based activity -- of the directly corresponding Majorana-Weyl-related fluctuation of the so-eluded-to Ward-Caucy-based topological sway, that is of the summed respective given arbitrary substringular eigenmembers -- that have come together or integrated, in so as to operate as one Gaussian-based stratum of Hamiltonian Operators, that are here put into a covariant, codeterminable, and a codifferentiable locus.  This so-stated fluctuation, is here, locally, in a state of a relatively steady-state-based functionablity.  (This is the case -- whether there is a larger substringular neighborhood that this belongs to, that is in less of a state of conformal invariance, or not.)  Here is what I mean, by utilizing an alogorical example as an anectdote-based metaphore.  Let us say that one is to consider a person who is standing "completely" still on earth.  His or Her body is here in a local tense of a relative condition of being in a steady-state-based mode.  Yet, the said person exists on a planet that is moving a lot more rapidly in its rate than the so-stated person is moving -- in this case.  Likewise, a relatively local Poincare-based substringular neighborhood, may be in a tense of conformal invariance -- even though a more macroscopic or largely considered region -- that is to include the so-eluded-to initially stated substringular neighborhood, may be existent in a less conformally invariant -- or even in a relatively perturbative -- tense of its conditions, of relative covariance, when one is here to consider an observer who would be then considering a more macroscopic external viewpoint.
So, the tense of a relative given arbitrary Majorana-Weyl-Invariant-Mode -- is generally in consideration of the locally covariant Poincaire behavior of substringular events, at the cite of the relatively local environment -- whether or not there is an external perturbative state that is at a less microscopic perspective as to where one is to here consider the eigenbasis of the respective given arbitrary Poincaire level, or not.  To Be Continued!  I will continue with the suspense later!
Sincerely, Sam Roach.

Part Six of Session Two of Course 19 -- The Klein Bottle and Orbifold Differentiation

When one is to examine the extrapolation of that general cohomological patterning of any respective given arbitrary Klein Bottle eigenstate -- that is to here be directly corresponding to the integration of certain given arbitrary ghost-based indices, that would here work to form the physical memory of both the existence and the motion of the so-stated Klein Bottle eigenstate of this respective given arbitrary case, since the said Klein Bottle eigenstate, as always, is in constant discrete motion from one iteration of group instanton to the next, the mappable tracing of this so-stated eigenstate of the Klein Bottle will never Appear through such an eluded-to extrapolation to be of the general morphological genus to be of a parallelepiped nature -- even though the actually Ward-Neumman topological-based contour of any unfrayed given arbitrary Klein Bottle eigenstate will always work to bear a parallelepiped shape that has no viable enclosement at its relatively norm-to-holomorphic directoral-based homotopic bearings.  So, the mappable tracing of any respective given arbitrary Klein Bottle eigenstate will always tend to bear the respective resultant composition-based contour, that would here involve an indication of both the covariant-based kinematic integration of the directly corresponding Fourier-based indices -- as well as working to bear the respective Majorana-Weyl-Invariant-based integration of the directly corresponding Laplacian-based indices.  As implied before, this is an extrapolation of what may here be inductive in reading -- over the implementation of any coherent gauge-metric that may be taken at the Poincaire level of the said Klein Bottle eigenstate.
Next time -- how the activity of gauge-transformation eigenmetrics work to effect the topological-based extrapolation of the mappable tracing of the here correlatively speaking Klein Bottle eigenstates.
I will continue with the suspense later! To Be Continued!  Sincerely, Sam Roach.

Part Seven of Session 15 of Course 18 --- The Ricci Scalar and Kaeler Differentiation

Gravitational pull that is applied to a locus that is proximal to a kinematic-based Majorana-Weyl Invariant-based spot, where a respective given arbitrary  superstring of discrete energy permittivity is iterating at, when such a said string is undergoing a tense of superconformal invariance over a sequential series of instantons -- will tend to move the point commutators that are adjacent to the so-stated superstring of discrete energy permittivity at the Poincaire level, away from so-eluded-to indistinguishabley different kinematic-based Majorana-Weyl Invariant-based proximal locus, over time.  For example:  A superstring is differentiating in a Fourier-based manner in a relatively tightly-bound set locus -- in the process of the so-eluded-to superstring existing here in a tense of superconformal invariance, over a sequential series of iterative-based gauge-metrical activity, over time.  There are here, in this case, initially, a set of point commutators that are relatively near the general set locus as to the proximal neighborhood where the here said superstring of discrete energy permittivity is keeping in a Ward-Caucy bounds with -- at the Poincaire level that is here relative to the extrapolation of a Sterling Approximation as to where the so-stated superstring of discrete energy permittivity is differentiating at, in the so-eluded-to Fourier-based manner, over time.  Next, there is a relative increase in the scalar magnitude of the gravitational-based force, that is applied to the initially so-stated superstring of discrete energy permittivity -- to where the directly corresponding Ricci Scalar is increased in its discrete Hodge-based index of scalar-based magnitude.  This relative increase in the amount of gravitational-based force that is here applied to the Poincaire-based core field of the said superstring, that is here undergoing a tense of superconformal invariance -- will tend to pull at least some of the here adjacent point commutators, in the form of the resultant norm-state projections that would here have been in a static equilibrium with the said superstring, in a Majorana-Weyl-based manner, as the so-stated superstring is moving in a relatively tightly-bound region, out of the here so-eluded-to proximal kinematic-based region or substringualr neighorhood.  As the specific point commutators that are here being pulled out of the Poincaire-based substringular neighborhood of the said superstring of discrete energy permittivity, are being pulled away from the said respective given arbitrary kinematic-based proximal locus, there will here tend to be at least some sort of indistinguishablely different replacement of the general format of the condition of either the genus and/or the Hodge-based quantum of the norm-state projections, that will here work to apply at least some sort of a compansation for the literal loss of the so-stated specific norm-state-projection-based quantifiers, over time.  As well, the Rayleigh-based scattering of cohomological-based indices tends to work --- indirectly -- to work in the process of the reconstruction of the general substringular neighborhoods of Fourier-based differentiating superstrings of discrete energy.  The multiplicit lattice changes in the eigenmatrices of substringular phenomena, often results in the Njenjhuis translocation of those norm-state-projections, that are geometrically at the Poincaire level of the so-eluded-to superstrings of discrete energy -- to where the resultant annharmonically scattered ghost-based indices will then be moved further into the process of the recycling of norm-based indices, over time.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

Part Four of the 11th Session of Course 18 -- the Ricci Scalar and Kaeler Differentiation

When the Regge Slope happens in a particular angular relation, the superstringular modulae -- both in terms of the directly affiliated fractal and elastic modulus -- is maintained at a particular related acceleration.  If the correlative respective superstring and its counterpart are orientable during the affilated Regge Action eigenmetric -- there can be no jerking of the speed-related acceleration of the holonomic substrate of the here directly associated superstring, that is here just about to go into the majority of the generally unnoticed durational metric of Ultimon Flow -- unless the specific slope of the motion of the said superstring that is here undergoing the so-stated Regge Action eigenmetric, at its set general locus, is altered or perturbated from a condition of optimum rest, of which may often occur if the directly related superstring is overtly effected in its angular Ward-Neumman-associated eigenbase.  This often is the case of a superstring that is made to be tachyonic, over a successive series of the immediately previous iterations of group-related instanton.  The perturbative differential effect of the perturbative Hamiltonian-based forces, that help work to alter the manner of the various successive iterations of any specific given arbitrary Regge Action eigenmetric, may be viewed of as a respective given arbitrary Regge Field Transformation.  If any given arbitrary Regge Field Transformation is undergoing a condition of static equilibrium, then, the so-stated Regge Field Transformation is of a non-perturbative Majorana-Weyl-Invariant mode, that is here of a conformally invariant-based nature.  If the said respective Regge Field Transformation is of a harmonic-based nature, then, the mode of such a said Transformation is said to be relatively superconformal, when this is taken in terms of the manner of the directly related steady-state-based indices.  Yet, if the said respective Regge Field Transformaion is of an annharmonic-based nature, then, the mode of such a said Transformation is said to be, instead, of a relatively divergent-based nature -- when this is taken in terms of the manner of the directly pertinent perturbative-based indices.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

Static Charges

When one d-field that is directly associated with the immediate field of one given arbitrary electron, rubs against another d-field that is directly associated with the immediate field of another given arbitrary electron, there is -- to one extent or another -- an electrostatic charge that would here involve a certain degree of the scattering of the two so-eluded-to Calabi-Yau manifolds, that are here directly related to the scattering of the two general respective d-fields -- that would here work to form the two electric fields that are directly correlative to the two said electrons of this case scenario.  When two electric fields that are directly affiliated with the respective presence of two respective individual electrons, each, scatter amongst each other -- via the interchange of their correlative Yakawa-based indices, then, not only are the directly affiliated respective given arbitrary Calabi-Yau manifolds scattered to one extent or another, yet also, the directly affiliated Gliossi-Sherk-Olive ghost anomalies that are directly associated with each of such individually taken electrons, are also each scattered -- to one extent or another.  As the so-stated respective Gliossi-Sherk-Olive ghosts of the two given arbitrary electrons are scattered, the dual states of the Reimman-based cohomological indices -- that had initially here worked to form the physical memory of both the existence and the activity of the initial eigenbase of the two said respective given arbitrary electrons -- are scattered annharmonically, via  a Rayleigh-based scattering -- from the initial chiral-based and Reimman-based integrative cohomological-based ordering, into an entropic antichiral-based disorganization of the directly affiliated cohomological-based indices, that had initially worked to form the individual respective Gliossi-Sherk-Olive ghosts, that had been the mappable tracings of the two said respective given arbitrary  initially superconformally invariant electrons that will have here diverged from such a Majorana-Weyl Invariant mode by scattering amongst each other here.  To Be Continued!  Sincerely,
Sam Roach.

Part One of the Tenth Session of Course 18

The nucleus of an atom exists in a set of one or more Calabi-Yau manifolds -- one per each respective nucleon --  that may be described of as a set of one or more respective F-fields.  This just mentioned manifold-based nature here may be described of as a tense of membranous phenomenology -- of which may be considered here as a group of one or more membranes that are made-up of one or more respective orbifold eigensets, that may be thought of as being comprised of what are here termed of as F-branes, or, F-fields, that would here work to comprise a membranous holonomic substrate of the phenomenology that would here work to make-up the specific unique Calabi-Yau-based manifolds -- of which would here, in part, describe the Ward-Neumman dimensional composition of the Laplacian-based differential geometry of the physical make-up of the Majorana-Weyl-based static conditionality of the so-stated nucleons of this here given arbitrary case scenario.  Sub-atomic particles that would here work to involve physical particles, that at a metrical condition of being at relative rest, are intrinsically codeterminable and codifferentiable in a manner that is compliant in a conformally invariant static equilibrium-based tense, in a minimum of four spatial dimensions plus time, over that sequential series of instantons in which the said nucleons -- of which are present in the so-eluded-to nucleus of one unique respective given arbitrary atom, are in the said given eluded-to tense of a general topological sway, that is conformally invariant at a steady-state-based set locus of substringular neighborhood.   This works to bear a relative rest energy, that is relatively non-perturbative in covariant retrospect to the codeterminable activity of the surrounding electrons, of the said directly related atom -- to where the so-stated topological vibrational oscillations of the so-stated F-branes will here then work to form both a covariant and a codifferentiable parity, and a covariant and a codifferentiable chirality -- of both its radial and its spin-orbital orbifold eigenset-based eigenindices, that work to counterbalance the multivarious fluctuations of those individual superstrings, that work to form the said orbifold eigensets that comprise each individual eluded-to nucleus of the so-eluded-to given arbitrary atom, in such a manner in so that the transversel Hamiltonian-based operations of each of the so-stated nucleons will then here remain at a steady-state.  Such a condition of a steady-state set of Calabi-Yau manifolds will then work to bear a tense of conformal invariance of overall Lagrangian-based motion, that will then bear an odd function of delineatory translation -- to where the so-eluded-to nucleons will then not move transverselly in any spontaneous covariant manner, relative to their immediate environment, to where the relative statics of their Majorana-Weyl-Invariant eigenbasis of the said substringular locus will remain stable as such, but may only bear a minimal eigenbasis of either a vibrational and/or an oscillatory-based perturbative cycle, as may be bearing only in either a spin-orbital and/or a radial-based transmittance that is Yakawa to its immediate environment in a directly corresponding manner.
To be continued!  I will continue with the suspense later!  Sam Roach.

Part One of an Interim In-Between Sessions 7 and 8 of Course 18

I am about to explain a certain genus of parity interactions of eigenstates, that are in reference to superstrings that are formed in an alternating sequential manner, in order for the correlative superstrings to be able to release wave homotopy that would here work to encode for a specific unique superstringular trait.  Let us initially say that one was to here consider ten superstrings of discrete energy permittivity that will have, over a correlative group metric, been reiterating, per directly corresponding respective group instanton, in their correlative substringular neighborhoods.  Let us now here consider that, after about one quadrilion successive group-related instantons, the sequential eigenmetric of the ten here mentioned superstrings of this particular case -- although maintaining their relative proximal encodement -- starts to differentiate kinematically in a different Majorana-Weyl covariant-based mode, when one is to compare the Hamiltonian-based codetterinable interactions of each of the ten so-stated superstrings, in relation to one another, as both a substringular index of their individual substringular behavior when taken individually and also when taken as a substringular index of their group substringualr behavior when taken as a group that acts as an orbifold. This alteration in both the individual activity of the ten component superstrings of the just eluded-to orbifold, and in the activity of the said orbifold as a whole, will work to form a tense of a divergent singularity in the encodement of its resultant integrative Hodge-based Hamiltonian operation, that will work to cause the homotopic residue that is then here formed by the so-eluded-to alteration in the genus of the activity of the so-eluded-to orbifold to change at least one globally distinguishable overall trait -- that will then be able to be detectable by the domino effect of this orbifold -- when the result of such a perturbative reaction is inversely traced into a corresponding extrapolation that may be observable in a here correlative reverse-fractaled chain of events.
I will continue with the second part of this interim later! To Be Continued!  Sam Roach.

Part Three of the Seventh Session of Course 18

Any given arbitrary either conformally isolated superstring of discrete energy permittivity, or, any given arbitrary conformally isolated set of superstrings of discrete energy permittivity, that act in such a manner in so that these behave as kinematically acting in a codifferentiable way that is geometrically parallel in their relatively outer Ward-Neumman-based topological settings, with another of such a superstring or set of superstrings  -- can not, solely on their own account, propagate that fractal of their magnetism that is directly associated with the relatively intetial-based Hamiltonian operational-based spin-orbital indices, that these produce by their radial-based motions, over time.  Yet, if such a respective so-stated superstring or set of superstrings that are geometrically parallel with another of such a superstring or set of superstrings, at the Poincaire level of their exterial topological-based Ward-Neumman settings, works to bear one or more Njenhuis tensors -- that act in such a manner in so as to help the said dual condition of a superstring or set of superstrings to act in a covariant manner that is codeterminable, then, the directly corresponding Real Reimmanian directoral-based coniaxials will be facillitated to move more freely -- in so as to help to cause the norm-conditions of the correlative Majorana-Weyl-based substringular structures, that have been eluded-to here, to act as bearing a cubic Gaussian-based relationship, that will here kinematically inter-play as a multiplicit-based eigenstate in three or more spatial dimensions, over time.  So, when superstrings go from not spontaneously propagating their fractal of discrete magnetism -- to any viable extent -- to spontaneously propagating their fractal of discrete magnetism, to a viable extent -- in terms of the delineation of their Majorana-Weyl-related Hodge-based indices -- this is a tense of a cyclical-based Majorana-Weyl covaraince.  Since an orbifold works to involve a tense of a fractal of discrete magnetism, any given arbitrary orbifold, over time, alters in the manner of the production of its spin-orbital indices -- when in relationship to those spin-orbital indices that are produced by the surrounding orbifolds.  This is more of a general tense as to what a Majorana-Weyl covariant mode would happen to be.  When a conformally isolated string enters a manifold of other superstrings, this will work to involve a tense of a Majorana-Weyl covariance as well.   To Be Continued!  Sam Roach.

Part One of the Seventh Session of Course 18

Superstrings exist in fields.  Any given arbitrary one-dimensional superstring of discrete energy permittivity and/or any two-dimensional superstring of discrete energy permittivity will always bear a tense of a fractal of magnetism -- in terms of their spin-orbital momentum, when this is taken in relation to their Hamiltonian-based operation, over time.  The said fractal of the given arbitrary discrete magnetism -- that may be extrapolated, for any given arbitrary relatively conformally isolated superstring -- can not propagate through a discrete Lagrangian, over a codeterminable group metric that is Majorana-Weyl invariant, without at least bearing one eigenbasis that is directly related to one or more Njenhuis tensors -- on account of the condition that the total spatial dimensionality of the most basic Majoran-Weyl fractal of magnetism, in terms of the functionability of whatever the directly associated Hamiltonian-based operation of the so-eluded-to superstring, that one may here consider in this case, happens to be, is based upon the kinematic covariant codifferentiability of a core-field-density that will always work to involve two or more spatial dimensions at once -- over any given arbitrary sequential series of group instantons in which the so-stated superstring of discrete energy permittivity will be involved with, over time.  It takes at least three or more spatial dimensions, in any kinematic inter-play of superstrings, to propagate a fractal of magnetism, in a directly correlative Hamiltonian-based operation, so that a cubic genus of a Gaussian Transformation may work to fulfill anywhere from a freedom of 4pi degrees of radial Ward-Neumman potential delineation to a freedom of 32pi I degrees of radial Ward-Neumman potential delineation, in order for the directly corresponding norm-conditions to exist in such a manner in so that at least all of the correlative directorals of the here relative Real Reimmanian space may be viably functional by the so-eluded-to given arbitrary tense of the here given case of the fractal of discrete magnetism, over any kinematic eigenbase of Hamiltonian-based operation.  Think about it.
I will continue with the suspense later!  Sam.

The Third Part of Session One of (18) -- The Ricci Scalar and The Kaeler Metric

Mini-String segments tend to always connect certain multivarious given arbitrary respective superstrings to the multivarious other given arbitrary respective superstrings, when one will here consider the multiplicit substringular arena of superstrings that are unfrayed -- in the process of the consistency of those activities that work to maintain homotopy, per each successive iteration and reiterating of group instanton.  The general exception to the multiplicit maintainance of homotopy is those general set of activities that happen, as the space-hole is undergoing those gradual reorganized recombination of mini-string segments -- that work to allow for the needed alterations of the multiple-bound norm-conditions.  This is needed, in so as to allow for the time-wise progression of Gaussian Transformations.  Those mini-string segments that work to connect the multivarious superstrings of discrete energy permittivity to the general eigen-conditions of the activity of gravitational-based substringular particles, are always inter-bound -- via both the existence and the activity of the multplicitly considered Rarita Structure.  Such an inter-bound basis of interdendant interconnection is primarily Majorana-Weyl invariant, during the integrable time-wise state of each instanton, during any given arbitrary successive series of such group instanton.  Those just stated set of eluded-to Ward-Caucy conditions, works to help determine each individually respective ensuing delineation of the here correlative substringular members.  This so-stated "help" of the multiplicit and multivarious respective Rarita Structure eigenstates works to assist superstrings to obtain the here needed genus of both the positioning and the topological sways of the here directly associated superstrings -- via both the Hodge-Index and the positionings of the other substringular spatial Hamiltonian operators, as well as working to help form the modulii  of the here directly associated Rarita Structure eigenstates.  This is to where such a combination of activities works to allow for the so-eluded-to multiplicit Ward-Caucy-bound Ricci Scalar, to be able to form a multiple set of general modulii -- per general substringular basis, that helps work to cause the Ricci Scalar to bear a certain degree of control over the delineatory conditions of both the related discrete energy permittivity and the related discrete energy impedance.
I will continue with the suspense later!!!To Be Continued!!! Sincerely, Sam Roach.

Part Two of the Fifteenth Session of Course 17 About the Ricci Scalar

So, the singularities that are delineated by the activity of electromagnetic energy are partially hermitian.  As light is being propagated through any given arbitrary vacuum, the directly corresponding electric field and its correlative magnetic field work to differentiate kinematically -- in a manner that is of a harmonic eigenbase of Lagrangian-based flow.  Yet, the so-stated light travels in a p-field -- of which works to describe its tensoric Ward-Caucy spatial delineation as behaving in ten spatial dimensions plus time, on account of the directly corresponding Majorana-Weyl-based Njenhuis field -- which is conformally invariant in this given arbitrary situation, since it is not scattered by any mass or energy as it is traveling through the so-mentioned vacuum.  The given arbitrary Njenhuis-based tensoric field will here work to produce a non-kinematic perturbation of both those singularities that exist in-between the orbifolds that work to comprise the orbifold eigenset of the directly appertaining beam of light, as well as working to produce a non-kinematic perturbation of those singularities that are more appertaining to the mappable tracing of the corroberative world-sheets that form the physical memory of the so-eluded-to superstringular phenomena that are involved with the propagation of the said beam of light of this case.
I will continue with the suspense later!!! To Be Continued!!!  Sincerely, Sam Roach.

Part Two of the Tenth Session of Course 17 About the Ricci Scalar

If any given arbitrary cohomology goes from initially being of a cylindrical-based topological-based shape -- this just insinuated cohomological traceable mapping being of a one-dimensnioal superstring of discrete energy permittivity, that is pulled through a directly associated Lagrangian that is in the general directoral tense of the so-stated one-dimensional superstring's relatively forward-holomorophic direction -- into being of a shaft-like-based topological-based shape -- the latter just mentioned insinuated cohomological traceable mapping being of a two-dimensional superstring of discrete energy permittivity, that is pulled through a directly associated Lagrangian that is in the general directoral tense of the so-stated two-dimensional superstring's relatively forward-holomorphic direction, then, the superstring that is here being discussed is going from having an initial partially hermitian-based cohomological mode, into having a Chern-Simmons-based spike in the cohomology, as the initially so-eluded-to one-dimensional superstring of discrete energy permittivity is perturbated into being of a phenomenology of a given arbitrary two-dimensional superstring of discrete energy permittivity -- over a relatively transient sequential series of iterations of group related instanton.  The cohomology of the resultant two-dimensional superstring may be of either a Yau-Exact conditionality ( a superstring with no Chern-Simmons singularities), if the resultant superstring that works to form those so-eluded-to ghost-based indices that would here work to form the shaft-like morphology of the so-stated shaft-like cohomology, is of a discrete unit of a masss -- or, if the cohomology of the resultant two-dimensional superstring may instead be of a  format of partially hermitian-based singularities, if the resultant superstring that works to form those so-eluded-to ghost-based indices that would here work to form the shaft-like morphology of the so-stated altered cohomology, is not of a discrete unit of mass.  Only superstrings of discrete units of mass are both Yau-Exact and of a Kaluza-Klein light-cone-gauge topology.  So, if the resultant so-eluded-to two-dimensional superstring that I have here been discussing is not of a discrete unit of mass, then, one is here dealing with one respective given arbitrary one-dimensional superstring of a partially hermitian-based tense of cohomological-tense, that is then perturbated out of the eluded-to initial Majorana-Weyl eigenbase of conformal invariance -- into what is then here a one-dimensional superstring of discrete energy permittvity, that will here be of a different tense of Majorana-Weyl eigenbase of conformal invariance at a different general locus, over a relatively brief group metric of directly appertaining time.  This will then here work to involve one initial tense of Chern-Simmons singularity-based genus, that will perturbate into then involving a second initial tense of Chern-Simmons singularity-based genus.  This will then work to involve one given arbitrary superstring, that is at least of a partially Chern-Simmons-based nature -- as the said superstring is undergoing an analogous Yakawa-based coupling, into what may be thought of as a Fujikawa coupling.  The main potential difference here being that this is not necessarily of a discrete unit of plain kinetic energy that is then converting into a photon (discrete unit of electromagnetic energy).I will continue with the suspense later!  Sam.

Part One of the Tenth Session of Course 17 About the Ricci Scalar

So, as eluded-to before, Chern-Simmons singularities may often be traceable in cohomological-based stratum, as well as in conformally invariant orbifold-based fields.  If one is to extrapolate the tracing of a cohomology that is otherwise smooth in mappable topology -- due to the dual existing conditions of having both jointal-based and smooth-curved-based aberrations, along the contour of the mappable trace of its ghost-based physical path over time -- those permutations, that are directly the result of the lack of smoothness in the here eluded-to mappable tracing of the physical memory of the path of the correlative cohomological holnomic stratum, will here work to form a tense of unique Chern-Simmons singularities, of which will here work to form a Chern-Simmons format of a cohomological-based pattern.  Such a substringular tense of a Chern-Simmons ghost-based field will then here directly involve either superstrings, and/or orbifolds, and/or a tense of a perturbative orbifold-based field, that will have altered -- over a transient group metric of a relatively limited sequential series of instantons -- from an initial tense of conformal invariance, into a relatively new local tense of conformal invariance.  What is here happening, is that an initial relatively limited number of superstrings is initially iterating in a tense of a relative condition of Majorana-Weyl-Invariance.  The resultant cohomological-based pattern is initially at least partially hermitian in composure, over a relatively brief duration of time.  Either a Lagrangian-based spike and/or a metrical-based spike will then happen spontaneously and abruptly, to the correlative given arbitrary set of directly pertinent superstrings -- working to form a Chern-Simmons-based field, that will here work to cause a relative lack of topological smoothness in the Laplacian-based mappable tracing of the ghost-based extrapolation, the latter of which works to indicate the immediate what, how, where, and when of the here so-stated directly pertinent set of superstrings that have undergone the just eluded-to altered stated of the correlative Chern-Simmons-based delineations, has thus been happening.  Any perturbative tensors that are interactive upon a substringular holonomic stratum will here work to form a perturbation in the directly corresponding Majorana-Weyl-Invariant modulus.  This will then work to form a relative condition of group covariance.  This just eluded-to alteration in the relative local field index will then move in the direction of most stability, ensuing the correlative delineation of either a spike-like and/or a spurious-based singularity that is then pulled-out of the here mentioned general locus of substringular cohomological-based topological stratum.
I will continue with the next part later!  Sam.