Part Seven of the Second Session of Course 18

Forward-time-bearing-momenta eigenstates of discrete energy permittivity -- which are those superstrings that move in so as to work to form the basis as to what discrete energy are --, forward-time-bearing-momenta eigenstates of the counterparts of discrete energy permittivity -- which are the directly corresponding counterparts of those superstrings that move in so as to work to form the basis as to what discrete energy are --, forward-time-bearing-momenta eigenstates of discrete energy impedance -- which are the Fadeev-Popov-Trace eigenstates that are inextricably bound to superstrings of discrete energy permittivity, via the directly affiliated light-cone-gauge eigenstates, -- and forward-time-bearing-momenta eigenstates of the counterpart of discrete energy impedance -- which are physically existent as the directly corresponding light-cone-gauge eigenstates, multiplicitly move holomoprhically together, in so as to congel together with all of the superstrings of their set of parallel universes that are of the same layer of reality, through the generally unnoticed gauge-metrical-based duration of any given arbitrary iteration of their cycle that exists metrically between any two given arbitrary instances of group instanton -- up until the general gauge-metrical activity that is directly associated with the space-hole and the Bases of Light, starts to begin.  Similar but different is the case for those eigenstates that are directly associated with backward-time-bearing-momenta, except for the condition that -- when such a tense of generally unnoticed gauge-metrical activity happens, for what I am mentioning in this ulterior case -- these eigenstates, from the simultaneous vantage point of the so-stated forward-time-bearing-momenta eigenstates, are, at such a set attribute of delineatory-based conditions, moving, instead, in the relative antiholomorphic direction, as any given arbitrary predominant one layer of reality is gathered interdependently with the other layers of reality of their set of parallel universes, in the reverse-time-bearing world-tubes -- in so to bear a like-handed genus of kinematic-based chirality, that is displayed during the so-eluded-to generally unnoticed duration of Ultimon Flow. Yet again, from the vantage-point of the so-stated backward-time-bearing-momenta eigenstates -- these metric-gauge-based indices, that are directly affiliated with backward-time-bearing-momenta indices, instead, move in the forward-holomorphic-based direction.  The reason as to the different tenses of holomorphicity that may be attributed to the same format of kinematic delineation, is because such a genus of relationship is based upon the vantage-point -- that is here related to how the Ward-Caucy conditions may be applied to the mappable tracing of the motion of such a generally speaking metrical-based projection.
 I will continue with the suspense later!  To be Continued! Sincerely, Sam.

Part Six of the Second Session of Course 18

The instanton-quaternionic-field-pulse-mode takes one H Bar of the generally unnoticed duration portion of Ultimon Flow, per substringular pulse. During the five main sections of the generally unnoticed part of one whole Imaginary-based pulsation of Ultimon Flow -- up until the start of that gauge-metric that is directly associated with the space-hole -- half of the substringular encoders travel holomorphically around the Ultimon, while, half of the substringular encoders travel relatively antiholomorphically aaround the Ultimon (when the second is directly translated relative to the first).  Here, the forward-time-bearing-momenta-based substringular eigenstates of substringular encodement, along with the correlative encoders, tend to move in the relative forward-holomorphic direction (counterclockwise), while, the backward-time-bearing-momenta-based substringular eigenstates of substringular encodement, along with the correlative encoders, tend to move in the relative reverse-holomorphic direction (clockwise) -- when the second of such encodement is directly compared with the first of such.  Yet, when one considers the differentially geometric eminent condition that the backward-time-bearing-momenta-based eigenstates and their substringular encoders are situated in the reverse tense of Ultimon-based concavity than the correlative eigenstates and their directly affiliated encoders, that directly appertain to the so-stated backward-time-bearing-momenta-based substringular eigenstates and their encoders, then, from each of their direct vantage-points (the one for what is directly associated with forward-moving time, and, the second for what is directly associated with backward-moving time), then, from their vantage-point, each of such time-based formats of genus move in the counterclockwise tense -- during the generally unnoticed durational-based gauge-metric that is directly associated with that part of Ultimon Flow, which is here not during the discrete pulsations of the iterations of group instanton.

 I will continue with the suspense later!  To Be Continued!!! Sincerely, Sam Roach.

Part Five of the Second Session of Course 18

After the phenomenology of each of the respective predominant layers of reality -- one from each respective set of parallel universes -- moves into what may be termed of as the Main Heterotic Stringular phenomenology, it goes into the region of the center of just where the adjacent world-tubes of the adjacent set of parallel universes are at, while then moving in the norm-to-forward-holomorphic -- for forward-time-bearing-momenta eigenstates, -- while yet then simultaneously moving norm-to-reverse-holomorphically, for backward-time-bearing-momenta eigenstates -- into the adjacent set of parallel universes' world-tubes.  Such an (N-1) activity for forward-time-bearing-momenta eigenstates, and, such an (N+1) activity for backward-time-bearing-momenta eigenstates, then iterates, as likewise, one more time.  Then, there are two consecutive (N+1) of such activities for the forward-time-bearing-momenta eigenstates, of which acomapany two consecutive (N-1) of such activities for the backward-time-bearing-momenta eigenstates.  This happens in so as to bring the relatively-thick-amorphous-shaft-shape-like phenomenologies of the respective predominant layer of reality -- one for each respective set of parallel universes -- back to the world-tube general cross-section, where each of their respective Bases of Light will soon reiterate at.  Then, the three respective layers of reality -- one per set of parallel universes -- will cycle here once, along the Ultimon, in so as to re-reach their respective cross-sectional locants as to where their individually taken Basis of Light will reiterate.  At the end of the fifth so-eluded-to H Bar gauge-metric of the generally unnoticed overall gauge-metric of Ultimon Flow, the predominant Basis of Light of each set of parallel universe will majorize at the "interior" world-tube-section of the general overall world-tube eigenlocuss -- to where its directly corresponding Basis of Light is to temporarily station at -- one "mer" of such a Basis of which is stationed at the forward-time-bearing-momenta general world-tube eigenlocus, and one "mer" of such a Basis of which is stationed at the backward-time-bearing-momenta general world-tube eigenlocus.  These two "mers" are interconnected by mini-string via the substringular encoders.  At this point, the ~.283 of one H Bar duration, that is directly associated with the "space-hole," will then begin.  I will continue with the suspense later!  To be continued!  Sam.

Part Four of the Second Session of Course 18

As to the reverse-time-bearing-momenta eigenstates of each layer of reality, of each set of parallel universes:  In this case, the layers of reality still gather as before, yet, these are drawn together by moving in the antiholomorphic direction -- when this is compared to the flow of the forward-time-bearing-momenta eigenstates of the same respective layers of reality, that are of each set of parallel universes.  Also, the so-stated reverse-time-bearing-momenta eigenstates move in such a manner in so as to go just over one circuit around their respective world-tubes -- these move in an (N+1) genus of circuit, in the process of gathering together their respective eigenstates that are of each respective layer of reality, that is for each respective set of parallel universes.  Otherwise likewise, the predominant layer of reality, as well, congels as a relatively thick amorphous-like-shaft, that is drawn in a manner that is pulled in the forward-norm-to-holomorphic direction -- when this is compared to the flow of the forward-time-bearing-momenta eigenstates.  This just eluded-to phenomenology then moves into what may be termed as the Main Heterotic Stringular phenomenology, in so as to meet, in general, with the forward-time-bearing-momenta eigenstates -- while then moving toward the general direction of the most adjacent set of parallel universes.  To Be Continued!  Sam.

The Third Part of The Second Session of Course 18

Once the generally unnoticed portion of Ultimon Flow begins, the phenomenology of each respective layer of reality of all three sets of parallel universes is respectively gathered amongst their eigenmembers -- as this whole eluded-to set of phenomenology moves holomorphically.  Once the predominant layers of reality, of each of the three sets of parallel universes -- that are of the flow of forward-time-bearing-momentum -- are gathered at the general spot that is conicentered at where the prior iterated Basis of Light was stationed -- directly antiholomorphically positioned from the spot where the predominant layer of reality had iterated, in conjunction with its directly affiliated Basis of Light, this of which was majorized right before the directly prior instanton-quaternionic-field-impulse-mode, -- the so-stated layer of reality congels into a relatively thick amorphous strand-like-shaft-shape phenomenon, that is pulled in the relatively norm-to-reverse-holomorphic direction, into what I term of as the Main Heterotic Stringular-based phenomenology.  As this whole general format of activity happens, the other layers of reality of each set of parallel universes also gather -- while yet moving relatively holomorphically, to also end-up at the directly antiholomrphically positioned conicentered position -- as to being from the general spot to where the directly prior Basis of Light that had appertained to each of the given respective layers of reality had acted, in so as to when such Bases had been majorized, right before the directly prior instanton-quaternionic-field-impulse-mode.  Yet, all of the layers of reality that are not then predominant, will -- at that same general iteration of the generally unnoticed portion of Ultimon Flow -- stay in their respective world-tube eigenlocus, that would here appertain to their set of parallel universes.  To Be Continued!  Sincerely, Sam Roach.

Part Two of the Second Session of Course 18

When there is no relatively local Kaeler-Metric present for a given arbitrary set of adjacent superstrings, at a general locus in the substringular:  After BRST, the superstrings of discrete energy permittivity and their counterparts AS WELL as their correlative Fadeev-Popov-Trace eigenstates, which are of discrete energy impedance -- and their directly corresponding light-cone-gauge eigenstates, go into the correlative Regge Action eigenmetric, via the correlative Regge Slope, while then going into the generally unnoticed duration of Ultimon Flow.  When there is a relatively local Kaeler-Metric present for a given arbitrary set of adjacent superstrings, at a general locus in the substringular:  After BRST, the superstrings of discrete energy permittivity and their counterparts AS WELL as their correlative Fadeev-Popov-Trace eigenstates, which are of discrete energy impedance -- and their directly corresponding light-cone-gauge eigenstates, go into the directly correlative Klein Bottle eigenstate -- in so as to work to complete one iterative stage of the said Kaeler-Metric, at which point in gauge-metric, the so-stated substringular phenomena that enters the so-eluded-to Schotky Construction re-contracts back to the scalar magnitude of that condition that would be indicative of a completely Lorentz-Contracted condition.  After this entering into the said Klein Bottle eigenstate, the so-eluded-to substringular phenomena shakes eight times back-and-forth in so as to work to cause the shook phenomena to re-attain the needed fractals of respective discrete energy permittvity and its counterpart and discrete energy impedance and its counterpart -- while then going into the correlative Regge Action eigenmetric via the correlative Regge Slope, while then going into the generally unnoticed duration of Ultimon Flow.  This is enough to absorb for now!  Sincerely, Sam.

Part One of the Second Session of Course 18

Both superstrings, counterstrings, Planck-like phenomena, and their correlative light-cone-gauge eigenstates,  are all connected to substringular encoders and their counterparts.  During the generally noticed durations of Ultimon Flow -- in which superstrings act in so as to iterate per each succeeding instance of the sequential series of group instantons -- this format of activity works to cause the condition that the so-stated substringular encoders and their also so-mentioned counterparts act under these time-constrative conditions, in so as to here exist outside of the domain of the whole general region in which these superstrings of discrete energy act in a kinematic manner, as I have mentioned, per each successive series of the iterations of group instanton.  The just eluded-to superstrings of discrete energy permittivity and their correlative eigenstates, that work to comprise the general multiplicit entity of discrete energy, exist, per instanton, in what may be thought of as world-tubes.  The substringular encoders exist outside of the said world-tubes that I have just mentioned.  The said encoders are interconnected to the phenomena of the world-tubes by mini-string -- that is subtended from the said encoders.  The Gliossi-based source of the just stated subtention, is the so-stated encoders.  Think of the substringular encoders as the stem of a "tree."  The mini-string branches-out from the said stem, in so as to both directly and/or indirectly work to bind the superstrings that exist in the world-tubes -- in so as to allow for the condition of homotopy.  This works to form the basis of the Ward-Caucy bounds, as to that superstrings exist from generally noticed iteration of Ultimon Flow to generally noticed iteration of Ultimon Flow, in the so-eluded-to world-tubes -- in a manner that must be at least similar to what I have just implied.
This is enough for you to absorb for now.  To be continued!!!  Sam.

Part Six of the First Session of Course 18

The said mechanism -- here being the Fischler-Suskind-Mechanism, happens via the activity of the multiplicit Klein Bottle, and, the so-stated Klein Bottle is put together in a manner that is termed of as the Schotky Construction.  Those superstrings that "tire" by their initial lack of their fractals of discrete energy permittivity -- as well as those directly corresponding Fadeev-Popov-Trace eigenstates that "tire" by their initial lack of their fractals of discrete energy impedance, go through a whole large process -- over a course of a sequential series of iterations of group instanton -- by entering the so-stated Klein Bottle, via a general genus of substringular activity or metric, that is known of as the Kaeler-Metric.  The Kaeler-Metric adds a certain degree of kinematic drive to the pulsation of the permittivity of superstrings that are then going through this general format of activity -- as well as the Kaeler-Metric adding a certain degree of kinematic drive to the pulsation of the impedance of the correlative Fadeev-Popov-Trace eigenstates that are then going through the general format of activity.  Such a general genus of special activity helps to allow for the Ricci Scalar to work at maintaining its needed relationships with the both the angular moduli, the spin-orbital moduli, as well as the transversal moduli, of the multivarious discrete units of energy -- that are portrayed by the kinematic activities of superstrings and their correlative Fadeev-Popov-Trace eigenstates.  A superstring is more likely to be in the process of undergoing a Noether-based flow, when it is undergoing the Kaeler-Metric.  Since any given arbitrary superstring and its directly associated substringular "entourage" will periodically enter the process of a Kaeler-Metric eigencondition, often, a tachyonic string will be undergoing a Kaeler-Metric eigenmetric -- yet in a manner in so that the cite of each ensuing iteration, whereupon the correlative substringular entities enter each ensuing stage of the here given arbitrary eigenstate of the Kaeler-Metric -- will here successively enter a different specific substringular locus per each of such stages of the said corresponding Kaeler-Metric, to where the eminent attributes of such a temporary constant alteration of specific locus are functionally indistinguishably different.  To be continued!  Sam.

Part Five of the First Session of Course 18 -- The Ricci Scalar and the Kaeler Metric

There is a mechanism that works to allow for superstrings of discrete energy permittivity to reattain the needed fractals of discrete energy permittivity, that these need, in order to function as discrete units of energy permittivity.  The same general mechanism also works to allow for the directly correlative Fadeev-Popov-Trace eigenstates of discrete energy impedance, to reattain the needed fractals of discrete energy impedance that these need, in order to function as discrete units of energy impedance.  The activity of such a general mechanism works to help allow for those discrete physical units of energy to not end-up tiring, over time. This same mechanism also works to keep the multiplicit holonomic substrate -- that is utilized in so as to act as a multiplicit Hamiltonian operator, that interacts with the directly corresponding discrete units of quantum energy -- that need to be "re-energized", in so as to maintain the condition of such physical phenomena as being discrete units of quantum energy --  in a condition of being able to maintain its needed positioning, over each specific iteration of group instanton, in so as to work to help keep the just mentioned substringular Hamiltonian operators to not scatter immediately after any directly corresponding given arbitrary iteration of BRST.  This general mechanism that I have just here briefly introduced, is known of as the Fischler-Suskind-Mechanism.  The pivotal multiplicit Hamiltonian operator, that works in so as to act as the key holonomic substrate that discrete units of energy interact with, in a Gliossi-based manner, in so as to do the so-stated general activity of reattaining the here needed fractals of both the respective discrete energy permittivity and discrete energy impedance -- that need to continue acting as such, in so as to allow for the continued existence of energy, and thus, in order to continue the very existence of space-time-fabric.
I will continue with the next part of this session later! To Be Continued!!! Sincerely, Sam Roach.

Part Four of the First Session of Course 18

In order for the holonomic substrate -- that works to comprise the multivarious topological entities, that work to comprise the restraints of the fabric of space-time-based spatially variant phenomena -- to keep from bearing any sort of fraying of either their fractal and/or their elastic modulii, the directly appertaining mini-string segments that come together in so as to form both the so-stated multiplicit topological indices and/or their so-eluded-to multiplicit topological projections, the actual so-stated entities that here act as the sum of all of the multiplicit holonomic-based substrates, are to recycle, in an indistinguishably different manner -- in so as to work to help protect the very general affect as to how Cassimer Invariance is applied to the countless topological surfaces of the said space-time-fabric -- in order to help the keep-up of the so-stated mini-string segments, in a manner in so that such "strands" that work to form the core-field-density of all superstrings may have the ability to not break-down over time.  Also what helps to up-keep the physical condition of the holonomic substrate of the topological surfaces of superstrings, is both the existence and the activity of the light-cone-gauge.  The relatively tightly bound Ward-Caucy conditions of the second-ordered light-cone-gauge eigenstates, that work to form the composition of each individual first-ordered-light-cone-gauge eigenstate, particularly over the activity that these display over a successive series of group-related instantons -- forms a spring-like Hamiltonian-operator/Hamiltonian-operation based differential activity that helps to provide a second-handed pulsation-like drive to the directly affiliated superstrings of discrete energy permittivity, as well as primarily providing a pulsation-like drive to the directly affiliated Fadeev-Popov-Trace eigenstates of discrete energy impedance, that works to help bring-in kinematically perturbated Hamiltonian operands inward towards such so-stated discrete energy permittivity and such so-stated discrete energy impedance, in such a manner in so as to help with the process of the up-keep of both the fractal modulii and the elastic modulii of the substringular -- in general.  The activity of the Rarita Structure, in general, works to provide, as well, a general substringular-based stratum -- that works to help in the process of the recycling of ghost-based indices.
The general eigenbase of the Ricci Scalar, then, works in helping with the up-keep of the general modulus of the substringular.
To be Continued with the fifth part of this session later!  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 Session One of Course 18

Topological entities are held together by other topological entities -- as well as by the here specificaly mentioned Ricci Scalar eigenstates -- as may be extrapolated by the activity of the directly affiliated Rarita Structure eigenstates.  This happens in the process of forming an abridgement that here exists between superstrings of discrete energy permittivity and their correlative Fadeev-Popov-Trace eigenstates, the latter of which works to form discrete energy impedance -- with those gravitational-based particles such as gravitons and gravitinos, of which act in such a manner in so as to form that general affiliation that works to cause the genus of both scalar delineation and scalar distribution, that acts in so as to be the conditional format as to what the Ricci Scalar is.  Those multiplicit general activities of the respective Ricci Scalar eigenstates, work to form both the multivarious and the multiplicit gravitational-based modulii -- that works to form that basically countless multi-based set of spatial integrands, that work to allow for the existence of both the covariant, codeterminable, and codifferentiable set of inter-relations that need to exist in order for any discrete unit of phenomenon -- namely mass -- to be together-like enough, in so that everything will here then not fly totally apart from one another.  Such a general eigenbase of group covariant potential works to guide the multiplicit conditions of integrable group associations, in such a manner in so as to help to determine the distribution-based particular positionings of the world-tubes of the Ultimon -- when such a guided general eigenbase of group-based affiliation works to operate upon every superstring, to one extent or another, per iteration of group instanton, to some extent or another, throughout both the generally noticed and the generally unnoticed metrical durations that are affiliated with of the activity of Ultimon Flow.

Part One of Session One of Course 18 About the Ricci Scalar and the Kaeler Metric

Superstringular modulii are bound to the multiplicit eigenstates of the Ricci Scalar.  The multiplilcit eigenstates of the Ricci Scalar are those respective eigenstates, that act as individual indical-based values of the magnitude of gravitational force, that work to pull the respective local topological-based entities of holonomic substrate in an interdependent manner -- that causes a simultaneous (through the vantage point of a central conipoint) wave-tug, that is directly kinematicaly viable down from the directly corresponding superstrings of discrete energy permittivity -- towards the correlative gravitons and gravitinos that work to form the multiplicitly local genus of gravity.  This happens, while the just eluded-to general format of the said gravitons and gravitinos, is, via the same general modulus, provided an environment of Hamiltonian operand -- by which such eluded-to gravitational-based superstrings may be able to afford that respective basis of the multivarious respective characteristics of wave-tug, that may here then work to afford the eluded-to "closure" of that general interaction of such gravitational particles -- that happens likewise upon the earlier mentioned superstrings of discrete energy permittivity.  The general genus of that activity that acts in the direction of the wave-pull of discrete energy permittivity upon any given arbitrary directly corresponding stratum of gravitational-based superstrings, is the generified basis of gravity, whereas, the general coniditionality of the general activity that acts in the direction of the wave-pull of gravitational particles upon superstings of discrete energy permittivity -- which here implies the reversal of the Ricci Scalar -- is the jist of what antigravity is. Both gravity and antigravity will here involve an Ante-de-Sitter/De-sitter mode -- since this is based upon the manner in which gluons pull-in subatomic particles in so as to form the strong force.

A Tad Bit More As To The Light-Cone-Gauge

A second-ordered light-cone-gauge eigenstate that is of a non-abelian or Yang-Mills topology bears sixty peaks and sixty troughs during the BRST associated duration of instanton.  There are 120 gauge-bosons that work to strike one first-ordered light-cone-gauge eigenstate during the just mentioned gauge-metric of BRST.  So, since two-dimensional strings of discrete energy permittivity bear ten second-ordered light-cone-gauge eigenstates, for every two-dimensional superstring of discrete energy permittivity that is Yang-Mills, it is for every 10 of such non-time-oriented sinusoidal permutations (such a permutation being either a so-mentioned "peak" or "trough") that there is such a gauge-boson affiliated with the plucking of the directly associated second-ordered light-cone-gauge eigenstates.  So, since one-dimensional strings of discrete energy permittivity that are Yang-Mills bear five second-ordered light-cone-gauge eigenstates,  it is for every five of such non-time-oriented sinusoidal permutations (such a permutation being either a so-mentioned "peak" or "trough") that there is such a gauge-boson affiliated with the plucking of the directly associated second-ordered light-cone-gauge eigenstates.
To Be Continued!  I will continue with the suspense later!  Sam.

Part Four of the Interim Between Course 17 and Course 18

From last time:  The center-state of each directly corresponding norm-state globalization would bear ground-state indices that are adjacent during the genus of the advent that happens during the "space-hole".  (This is when the Bases of Light are majorized -- right before the instanton-quaterionic-field-impulse happens.)  This norm-ground-norm fractal of a "valence" distribution will here then attract the correlative ground-state indices at the center-state of the local general norm-based field (based upon where the permittivity of what is "norm" is most prime.)  As an ansantz, the correlative general condition of norm and ground index center-states mentioned above move as is according to basic calculus functions, exchanging wave differences at the critical cusps of the relative center-based trajectory of the arc that ties in the recycling nature of differential geometries.  This general genus of activity is what works to form that fractal of pressurized vacuum that works to activate the instanton-quaterionic-field-impulse -- in so as to pull superstrings, counterstrings, Fadeev-Popov-Trace eigenstates, and also the correlative light-cone-gauge eigenstates, into each ensuing reiteration of group instanton.  What I was just mentioning as to what goes on, in general, in-between each individual iteration of instanton, -- is some of as to what goes on during the generally unnoticed duration of Ultimon Flow.

Part Three of the Interim Between Course 17 and Course 18

The condition of the recycling of ground-states converting into norm-states and vice-versa works to cause a flow of the directly corresponding indices -- these indices of which move in such a manner in so as to reach a relative center-state, which localizes toward the activity of that permittivity which exists as to where the correlative ground-states are most prime.  Meanwhile, the correlative norm-state-based associations work to cause Real-based first-ordered point particles to be over half of being fully compactified -- while at the same general genus of metric, working to make the correlative Fock-based states to be less than half of being fully compactified.  This is because the directly associated covariant differential geometries that work to correlate the so-stated ground-states with the so-stated norm-states works to allow for a more "ionic" distribuation of condensed oscillation, -- even though any viable wave distribution must bear a certain level of quantum-based state of conservation, over the course of space and time.  This works to make a condition of indistinguishable replacement, as to the conformally invariant manner of the maintanence of those ground-based states that work to comprise any give arbitrary superstring of discrete energy permittivity.  This process of the recycling of ground and norm states -- the one general genus of state to the other and vice-versa, pertpetually -- works to involve from one relatively Real-based state to many Fock-based states, to vice versa, over the eigenbase of certain of those gauge-metrics that are most activated over the generally reiterative metrical-based activities that happen during the generally unnoticed durations of Ultimon Flow.  This acts as if a given arbitrary respective set of substringular globalizations were to be exerted upon the directly corresponding net field impulse range -- and thus, part of the reason as to why I call a layer of reality that is to exist from within a set of parallel universes as being termed of as a tori-sector-range.  I will continue with the suspense later!  To be Continued!  Sincerely, Sam.

Part Two of the Interim Between Course 17 and Course 18

Let me explain what I said before a little bit clearer.  Since there is a one-to-one association of the Real-based first-ordered point particles that work to comprise superstrings of discrete energy permittivity, with the Fock-based first-ordered point particles that work to comprise the correlative counterstrings -- one may say that the so-eluded-to respective ground-states are "half-full," while the so-eluded-to respective norm-states are "half-empty" -- due to the condition that both of the individually taken formats of substringular phenomena that I have just here mentioned exist under the general Ward-Neumman relationship of bearing core-field-density that is half of being fully compactified.  This is because the directly corresponding ground-states that come together to form the multiplicit superstrings of discrete energy permittivity have only one Gliossi-based extended wave jutting-out from each of them, besides the mini-string segmentation that is projected outward from each individual point particle that works to bind them into the so-stated superstring, whereas, the directly corresponding norm-states that come together to form the correlative counterstrings of the so-mentioned superstrings bear basically countless mini-string segments or waves that jut-out from the Gliossi-based topological surface of the so-mentioned first-ordered point particles that work to comprise each of the said counterstrings -- besides those mini-string segments that bring these respective point particles into the condition of being of the nature of a counterstring.  Thus, the given condition that Real Reimmanian-based points that exist as such at the Poincaire level -- goes to indicate that such first-ordered point particles are basically of a pointal-based nature (the topological surface of Real-based first-ordered point particles is basically of a particle-like nature), while, the given condition that Fock-based points bear the nature that these exhibit at the Poincaire level, makes such phenomenology to behave as basically of a De Broglie-wave-based nature -- the topological surface of Fock-based first-ordered point particles is basically the discrete nature of the wave-function characteristic of any given arbitrary superstrting of discrete energy permittivity.
The superstring acts as the eigenbase of the particle nature of a discrete increment of energy permittivity, while the counterstring acts as the eigenbase  of the wave nature of a discrete increment of energy permittivity.  To be Continued!  I will continue with the supense later!!! Sam.

Part One of the Interim Between Course 17 and Course 18

One may wonder what metrical phenomena transpires, in the process of when a given arbitrary point particle is initialized as being either of a ground-state nature or as being of a norm-state nature.  Here, I will give a general brief summary.  A superstring is iterated over the course of group instanton -- the core of such a given arbitrary instanton being the metrical duration of BRST.  It (the said superstring) is a conformal set of first-ordered point particles that integrate and interact as being a genus of a relatively exact and differential associations -- each partition of such a holonomic substrate of exact differential association is here then being of a relatively linear nature.  The superstring in question will here only exist as a string of first-ordered point particles for a brief slice of time.  After which, most of the indices that had worked to comprise the so-stated superstring of discrete energy permittivity cycle around the world-tubes of the Continuum -- in the process of the generally unnoticed duration of Ultimon Flow.  This process of the cyclical iteration and re-iterations of superstrings works to cause a certain degree of indistinguishable replacement, of which occurs in such a manner in so as to fulfill the conformal invariance of any given arbitrary superstring of said discrete energy permittivity, if such a so-eluded to holonomic substrate is to be reiterated over the course of an ensuing group instanton.  As the said superstring is in the process of what I may term of as being of a transition kernel, the first-ordered point particles that had worked to comprise the so-stated superstring exist as relatively separated partitions -- of which are segments that exist as relatively straight lines.  (Such relatively linear segments still work to bear the general curvature of space-time-fabric, that would here exist at the directly associated level, and each of such segments would here not be actually of the nature of a Wilson Line.)  The directly affiliated Real and Fock compositions of the various parts of the directly corresponding superstrings of discrete energy permittivity act as being of the nature of being half-full -- these so-eluded-to first-ordered point particles are, during BRST, of a half-compactified core-field-density.  The main difference between such a condition of a point particle, that works to comprise a so-stated superstring -- when in contrast with its counterpart -- is that the so-eluded-to point particle of a superstring tends to bear only one Gliossi-based extraneous wave that juts out from it, besides those segments of mini-string that work to interconnect it to the other first-ordered point particles of its stringular-based composition -- whereas, its directly corresponding counterstring tends to bear many Gliossi-based extraneous waves that jut out from it, besidess those segments of mini-string that work to interconnect it to the other first-ordered point particles of its stringular composition.  This works to make a superstring that is of discrete energy permittivity of a Real Reimmanian-based nature, while yet making its counterstring of a Fock-based nature.  This thus works to make such a superstring's counterpart the holonomic substrate of the wave-function-like eigenbase as to what works to fulfill the condition of being a discrete unit of energy permttivity.
I will continue with the suspense later!!! To be continued!!! Sam Roach.

Part Three of the Last Test Questions for Course 17 -- the Ricci Scalar

10)  Light has three Real Reimmanian-based spatial dimensions.  This is due to the Ward-Caucy conditions that exist above the atomic level -- these of which utilize only three spatial dimensions plus time.   (Yet, since the nucleus of an atom has an f-field (4 spatial dimensions plus time), in a way, photons exist in four Real Reimmanian spatial dimensions plus time.)

11)  Light works to bear a minimum of ten spatial dimensions plus time.  This so-eluded-to spatial dimensionality bears four stretched-out spatial dimensions plus six curled-up spatial dimensions.  So, at the sub-atomic level, light bears four Real spatial dimensions Plus six Njenhuis curled-up spatial dimensions plus time.  This is equivalent to the summation of the number of spatial dimensions of an f-field plus the number of spatial dimensions of a d-field.

Part Two of the Test Solutions to the Last Test of Course 17 -- the Ricci Scalar

6)  Mass-based superstrings have a Yau-Exact eigenbase of Gliossi-Sherk-Olive cohomological index, in those manifolds of superstrings that appertain directly to the topological existence of bearing mass, over time.  Cohomology-based topological manifolds that are of Yau-Exact nature work to bear a more direct influence upon the relative given arbitrary eigenbase of gravity.  Gravity acts via the existence of the Ricci Scalar -- via the physical presence of the Rarita Structure.  Yau-Exact phenomena bear no viable Chern-Simmons singularities in and of themselves -- when this is considered at the Poincaire level of a Majorana-Weyl invariant setting.  This lack of singularity-based instability works to cause superstringular phenomena that are directly of a mass-bearing genus to be most directly influencing and to be most directly influenced by the Ricci Scalar.

7)  Plain energy bears significant Lagrangian and/or metrical-based Chern-Simmons singularities -- when this is taken along the mappable tracing of its Lagrangian-based path.  This general conditionality of a lack of singularity-based stability, works to cause phenomena of plain energy to bear less of a direct influence upon gravity -- than an equal correlative give arbitrary quanta of mass-bearing energy.  Thus, plain energy is relatively less influenced by the Ricci Scalar than mass.

8)  Light is partially hermitian -- when in consideration of those singularities that are produced by the propagation of the said light.  Such eluded-to Chern-Simmons singularities tend to be of a metrical-based tense.  This works to make light to not be of a Yau-Exact nature.  Thus, light is relatively less influenced by the Ricci Scalar than an equal correlative given arbitrary quanta of directly corresponding mass.

9)  Light is partially perturbative, due to the cyclical pulsation of its correlative mass-bearing photons -- that are propagated off of the relative Real Reimmanian plane, over time.  Singularities of a metrical-based nature, that are produced by the propagation of light, are of such a pulsation to where such phenomenology is guided by the fluctuation of its directly corresponding electric field -- via the nature of its respective given arbitrary wavelength.  A partially hermitian eigenbase of singularity-based nature may be described of as partially perturbative.

The First Part of the Test Solutions to the Last Test of Course 17

1)  The Chan-Patton model is the scientific extrapolation of substringular phenomena, as being perceived of as appertaining to the multiplicit and multivarious superstrings and their correlative orbifolds and orbifold eigensets -- as being in a Noether-based genus of metrical flow, in such a manner in so that the directly associated Lagrangian-based mappable paths may here be tied to both their existence and their motion, as being relative to both the existence and the motion of the covariant, codeterminable, and codifferentiable flow of electromagnetic energy.  This model shuns the conditions of tachyonic-based flow.

2)  Since the Chan-Patton model only considers Noether-based substringular flow, such a correlative eigenbase of topological sway is only in terms of either the transversel and/or the radial Planck "leap" per increment of the so-eluded-to topological sway per iteration of group instanton.

3) As photons are scattered -- by the activity of these so-stated phenomena, as acting to strike other physical phenomena, -- the directly corresponding changes in norm-conditions, in terms of the correlative Gaussian Transformations, via the Kaeler-Metric, works to form a topological sway of the corresponding substringular entities that will act as a tense of entropy -- in the process of being metrically Gliossi to such a so-stated alteration -- in the multiplicit Gausian-based organization -- of the here cited norm-conditions.  As such alterations or perturbations are of a Noether-Flow-based format, then, such directly corresponding topological sways, that act in so as to allow for the needed eluded-to progressions -- via that reassortment of the multiplicit Ward-Caucy Hamiltonian operators, will act in such a manner in so as to allow for the resultant perpetual interchange of norm and ground-state indices -- to where this behaves in such a corresponding manner to where this case scenario may be described of as being an eigenbase of Chan-Patton sway.

4)  A Hamiltonian operator that acts upon a holonomic substrate, is a Hamiltonian operation that happens as a tense of a kinematic perturbation.

5)  A Hamiltonian operator that acts upon a corresponding Hamiltonian operand that is devoid of superstrings of discrete energy permittivity, works to describe an alteration that behaves as a non-kinematic perturbation.

To be continued with the next 6 test solutions soon! Sam.

Test Questions to the Last Test of Course 17 About the Ricci Scalar

1)  Explain the Chan-Patton model.

2)  Explain the basis of Chan-Patton topological sway.

3)  Explain entropy in terms of Chan-Patton topological sway.

4)  What is a kinematic perturbation?

5)  What is a non-kinematic perturbation?

6)  Explain the Ricci Scalar in terms of mass.

7)  Explain the Ricci Scalar in terms of plain energy.

8)  Explain the Ricci Scalar in terms of light.

9)  Why is light partially perturbative?

10)  How many Real Reimmanian-based spatial dimensions are associated with light?

11)  How many Njenhuis-based spatial dimensions are associated with light? Why?

I wil return with the solutions later!  To be Continued!  Sincerely, Sam.

The Last Part of the Fifteenth Session of Course 17 About the Ricci Scalar

When light -- or any other form of electromagnetic energy -- scatters, the non-kinematic perturbation of the directly appertaining orbifold eigenset of any given arbitrary case, becomes kinematic, since the correlative electric field and the correlative magnetic field of the said discrete increment of electromangetic energy that is being considered here are then not kinematically differentiating in a harmonic manner.  (This is in terms of the entropic condition of the said electromagnetic energy, as it is traversing upon any other medium in a spurious-based manner, over time.)  Light, when scattered, is both non-kinematically and kinematically perturbated, over that directly affiliated duration of group related instanton in which the so-eluded-to electromagnetic energy operates upon the holonomic substrate of any other physical phenomena -- in any manner that may be described of as a Gliossi-based intrusion of the said light upon any other physical phenomena, over the directly associated Hamiltonian operation that I have described in general here.  This means that whenever light scatters upon any physical phenomenon, the light acts as a Hamiltonian operator, that would here act upon the substrate that it scatters upon -- in such a manner in so that the acted upon physical phenomenon will here act as a tense of being a Hamiltonian operand.  Electromagnetic energy acts in a minimum of ten spatial dimensions plus time, since it acts in the manner of being in a p-field.  The nucleus of an atom exists in an f-field -- since it involves a minimum of four spatial dimensions plus time. Most of the mass of any atom comes from its nucleus.  An electron exists in a d-field -- since it involves a minimum of six spatial dimensions plus time.  Most of the electrodynamic energy of an atom comes from its electrons.  Besides certain neutrinos, an electron is considered to basically be a point mass.  So, its of no surprise, that when an electron drops an energy level --in which it temporarily gets closer to its correaltive respective nucleus -- it releases a photon, which is a discrete unit of electromagnetic energy.  This discrete unit of E.M. bears a minimum of the addition of the number of spatial dimensions in an f-field plus the number of spatial dimensions in d-field, or ten.  What I mean by E.M. bearing partially hermitian singularities, is that it bears a smooth Lagrangian-based topological path (in a vacuum), except for the conditions that would here exist at the Poincaire level of the  permutations of those world-sheets, that directly appertain to those changes of directoral-based course of action, that are essential, -- due to the process of the scattering of the so-stated light.  These said world-sheets usually go from having a relatively larger annulus to having a relatively smaller annulus, as these are traceable over the course of the mapping the correlative cohomologies of light, over time.  Any change in the scalar amplitude of the diameter of the annulus of any cohomological-based world-sheet, is a tense of bearing a permutation in the directly appertaining world-sheet-based cohomology.  Any given arbitrary topology is said to be partially hermitian, in this case, when one or two -- generally two -- of the Ward-Caucy conditions of the flow of the directly appertaining cohomological-based indices, are not differentially smooth in the harmonics of their flow -- when this is taken through the mapping of the motion of the correlative substringular holonomic substrate that is being considered here, over time.

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 One of the Fifteenth Session of Course 17 About the Ricci Scalar

When we think of electromagnetic or electrodynamic energy, we tend to think of light.  Light always has some Chern-Simmons singularities, when this is considered in the topological framework that works to form the light.  So, electromagnetic or electrodynamic energy always some Chern-Simmons singularities in the cohomological framework of the mappable tracings that work to form the eigenbase of the said electromagnetic or electrodynamic energy.  Let us think of a beam of light in a vacuum.  The so-stated light in the said vacuum is unscattered, and propagates at 3*10^8 meters per second, here.  The said light here consists of an orbifold eigenset and its directly affiliated world-sheets -- in so as to bear the holonomic existence of the said light itself, and its mappable tracing.  The orbifold eigenset that works to be the eminence of the said here existent light will here act in a conformally invariant manner, and all of the here metrical-based singularities that would here exist among the orbifolds that work to comprise the orbifold eigenset of the so-stated light will bear a genus of a Chern-Simmons eigenbase.  (This is because, although light travels as straight as it is able to, in a Lagrangian-based manner, the pulsation of a beam of light varies in its vibrational-based oscillation, over time -- in so as to produce metrical-based  Chern-Simmons singularities.)
 I will continue with the suspense later!  To be Continued!  Sam.

A Little Bit About Leveraging

As an ansantz, the more that there is a greater multiple of Hodge-based leveraging of any given arbitrary superstringular phenomenon that is composed of discrete energy permittivity upon another given arbitrary superstringular phenomenon that is composed of discrete energy pemittivity -- via the holonomic substrate of the here correlative Rarita Structure eigenstates, in a general unitary directoral    motion of wave-tug/wave-pull -- via the existence of an eigebase of the corroborative Ricci Scalar -- the greater that the gravitational pull will be upon the here second mentioned given arbitrary superstringular phenomenon that is composed of discrete energy permittivity.
Enough 'till later!  To Be Continued!!! Sam.

Part Three of the 14th Session of Course 17 About the Ricci Scalar

Those singularities that are formed by the kinematic interplay of world-sheet-based cohomologies that are rooted in the time-bearing differentiation of plain kinetic energy, are capable of being electrodynamically extrapolated as being off of the respective correlative Real Reimmanian Plane, relative to whatever happens to be the directly associated respective given arbitrary Njenhuis-based region -- that would here tie-in to the corroberative Real Reimmanian Plane, in so as to act as a Doubolt-cohomology, in this tense, in and of itself.  This does not completely rule out, however, the condition that certain unscattered plain kinetic energy may often bear a relatively smooth traceable cohomological pattern.  So, the general pattern of the mappable tracing of those singularities that exist in the world-sheet-based cohomology of plain kinetic energy, tends to display a physical memory that is partially perturbative and non-hermitian, in its directly pertainent general format of ghost-based indices.  When plain kinetic energy is scattered, though, it turns into a general format of physical substringular phenomena that is directly appertaining -- at least to a degree -- to an eigenbase of entropic holonomic substrate.  Entropy always involves the kinematic perturbation of the singularities of the topology of energy that is not in static equilibrium.  So, scattered plain kinetic energy is always of a Chern-Simmons eigenbase, in terms of the general genus of the directly affiliated singularities -- and not of a hermitian eigenbase, in terms of the general genus of the directly affiliated singularities.  So, the scattered plain kinetic energy that exists in the substringular, is always both non-hermitian and perturbative.  Plain energy is effected by gravity to less of a degree than either mass or electromagnetic energy, since it is so different in its general physical construction than the genus of manifolds that may be described of, instead, by the term of being of a Calabi-Yau genus.  In other words, scattered plain energy is Anything But Yau-Exact.  So, although the directly affiliated Ricci Scalar eigenstates are not primarily effected by plain scattered energy, the just stated Ricci Scalar eigenstates may be partially derived by, in extrapolation, the correlative Ward-conditions of the specific given arbitrary Hamiltonian operands that are trespassed by the mappable tracing of the trajectory of the Hamiltonian operators that may be tied to the existence of scattered plain kinetic energy.

Part Two of the 14th Session of Course 17 About the Ricci Scalar

Plain kinetic energy -- in contradistinction to electromagnetic energy -- does not bear a harmonic balance of flow -- between the directly eluded-to fluctuation that would otherwise between its electric and its magnetic fields.  Plain kinetic energy works to move in the direction of entropy, or chaos.  Scattered energy always involves at least some amount of, and at least some genus of, entropy or chaos.  Plain kinetic energy is made up or comprised of a cohomological basis of world-sheets, that are not only of a Chern-Simmons-based flow, yet, also of which tend to bear at least a certain degree of perturbation that is here of a Njenhuis-based format -- of which works to bear at least some amount of a Doubolt-based cohomological index, that is off of the given arbitrary relative Real Reimmanian Plane.  Not only are those respective given arbitrary cohomologies -- that are formed by the mappable tracing of those world-sheets, that work to describe the activities of plain kinetic energy that are of a Doubolt nature -- on account of the here existent Njenhuis eigenbase of kinetic flow, yet, the activities of plain kinetic energy also work to form a certain significant degree of Chern-Simmons singularities, that are either of a Lagrangian-based genus and/or are of a metrical-based genus.  This tendency of plain kinetic energy -- working to bear an eigenbase of basically a Chern-Simmons format of delineated singularities -- is all the more eminently non-hermitian-based, when the here directly associated kinematic flow of such directly associated so-eluded-to cohomological mappable extrapolation is scattered into an entropic genus of topological delineation.  I will continue with the suspense later!  To Be Continued!!! Sam.

Part One of the 14th Session of Course 17 About the Ricci Scalar

Energy is composed of differential phenomena.  Substringular phenomena are always arranged into a topological setting.  Energy is formed by the differentiation of the respective multivarious topological entities.  Topological entities have singularities that are involved with them.  Topological-based singularities of world-sheet-based cohomologies, and the topological-based singularities of orbifolds, are either of a hermitian-based genus and/or of a Chern-Simmons-based genus.  Energy is effected by gravity, yet, energy that is not in static equilibrium is not directly of a mass.  It is mass that is composed of Calabi-Yau manifolds.  Only superstrings that are directly of a mass are of a Yau-Exact nature.  So, superstrings that are directly of either plain kinetic energy or are directly of electromagnetic energy are not Yau-Exact, and so, do not exist in the format of Calabi-Yau manifolds.  This works to mean that, since it is superstrings that are directly of mass that are most directly effected by gravity, it is superstrings of Calabi-Yau manifolds that are most effected by gravity.  This works to relate the condition that it is both cohomologies and orbifolds that are directly associated with Calabi-Yau manifolds that are the most directly effected by the Ricci Scalar.
I will continue with the suspense later! To Be Continued!!! Sincerely, Sam.