A Very Special Analogy

 Here’s my take — as to a certain very special analogy (metaphor), that I have “drawn-out” — as to a symbolic relationship that I have considered, as being in comparison between certain general workings in the superstring-related realm, in a correlation to certain general workings in the biological realm.:

The general functional workings, of what I call the superstring-related “Klein Bottle,” when this is here to be in reference to the eminent general superstring-related activity, that is happen, when a given arbitrary cohesive set of discrete energy quanta are to behave, as acting Gliosis to the Kahler-Metric (which is when the multiplicity of certain fractals of discrete energy are re-attained, in a respective correlative manner, in so as to help to work to allow for discrete energy to remain as discrete energy) is metaphorical to discrete energy in the realm of substrings, — what mitochondria, which help to work to allow for an adequate generation of chemical energy (ATP) in animal cells, are, to the perpetuation of the existence of that physical energy, which is needed in a multiplicity of biological life forms — as this is here to be taken, as an analogy between the superstring-related realm AND the biological realm. To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Guidance Into Holonomic Substrate Of Klein Bottle Eigenstate

Over the course of an iteration of instanton, -- when any one given arbitrary Noether-based orbifold eigenset is here to be Gliosis to the Kahler-Metric -- what is here to mainly work to guide those composite discrete quanta of energy, that are here of such a respective orbifold eigenset, to go into the process of being delineated into consequently becoming briefly "riveted" into the relative norm-to-holomorphic positioning of the directly corresponding  eigenstate of the holonomic substrate of the Klein Bottle, is a set of certain Ward-Cauchy-related aspects of the inter-relationships that are here to exist among both the correlative respective Fadeev-Popov-Trace eigenstate and the correlative light-cone-gauge eigenstate, when this is here to be taken in its interdependent relationship with both the directly corresponding superstring of discrete energy permittivity and its correlative counter string.  To Be Continued!  Sincerely, Samuel David Roach.

Yukawa Versus Gliosis To Kahler-Metric

Any given arbitrary superstring that is not frayed, is always going to be Yukawa to the Kahler-Metric, yet, only when such a so-eluded-to superstring is in the process of working to attain those fractals of discrete energy that these need -- in order to both persist and exist as discrete energy -- will such superstrings actually be Gliosis to the Kahler-Metric.  The metric of a superstring of discrete energy permittivity, is its dimensional-related pulsation.  Any superstring that is not being frayed, will always work to bear a dimensional-related pulsation over time.  Yet, such an eminent tendency of a superstring to work to bear any of such a tense of a dimensional-related pulsation -- works to bear a general condition, to where, since any given arbitrary respective superstring is not literally 100 percent efficient in the "real world," discrete energy must recurrently, over time, go through a "renovation-like" process of such a prior inferred re-attaing, of those fractals of discrete energy -- to where discrete energy is to thence to be put into such a condition-related "position," to then to be able to reattain the ability to work to bear one manner or another, of a dimensional-related pulsation over time.  This process of such a said "renovation-like" activity, is when discrete energy -- after a set of iterations of the ending segments of the contingent correlative group-related instantons, in which such discrete quanta of energy are to interact directly in a Gliosis-based manner, with a respective tense of an eigenstate of the holonomic substrate of the Klein Bottle, is to happen, in order to both modulate the morphology-related qualities of the said discrete quanta of energy, and also in so as to modulate the wave-tug-related qualities of the same said discrete quanta of energy -- so that the said stringular-like phenomenology that is here to thence to be made Gliosis to the Kahler-Metric, is to both reattain its efficiency and its "stamina," over time.  Furthermore, such a said process -- works to make it easier for abelian groups to latch-on, in an indistinguishably changing manner, to the externalized shell of the multiplicit topological proximal region, -- in so as to work to help at making the functioning of cohomological attainment to be able to be possible, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Important Stuff About The Kahler-Metric

Here's the difference between the general condition of a given arbitrary superstring of discrete energy permittivity being just Yukawa to the Kahler-Metric, versus such a superstring to, instead, to be Gliosis to the Kahler-Metric.  Any superstring of discrete energy permittivity that is unfrayed, will always be Yukawa to the Kahler-Metric -- since a superstring being Yukawa to the Kahler-Metric, is directly appertaining to those dimensional-based propensities, that are appertaining to the conditions of a pulsating discrete increment of energy.  Yet -- what I name of as being GLIOSIS to the Kahler-Metric, is when a discrete quantum or a set of discrete quanta of energy, work to interact with what I will name, for brevity's sake, the "Klein Bottle Apparatus," in such a manner, not only to where such a dimensional-based propensity of pulsating discrete energy may both persist and exist over time, yet also, in so as to work to allow for such an ealier said dimensional-based propensity to be able to both persist and exist over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To The Leverage Of The Higgs Action

The leverage of the Higgs Action, is caused primarily -- due to the leverage of the Fischler-Suskind Mechanism.  The general multiplicit condition of the Fischler-Suskind Mechanism, is comprised of by a correlative set of norm-state-projections, that work to bear a consequent orthogonal relationship -- that works to bear a wave-tug-related leveraging of ~6.25*10^18 (which is the reciprocal of the scalar magnitude of the smallest tense of discrete charge, which is ~1.6*10^(-19)Coulumbs) upon the correlative multiplicit Higgs Action eigenstate -- in so as to work to bring the activity of a Gliosis-related relationship, that is to ensue between discrete energy and the here directly corresponding multiplicit eigenstate of the holonomic substrate of the Klein Bottle, via the Kahler-Metric, in so that such a general tense of a Fourier-Transformation is here to be brought into the process of working to allow for the said multiplicit discrete quanta of energy to here to be re-attaining their fractals of discrete energy, in so as to work to allow for discrete quanta of energy to both persist and exist over time -- via such a relationship of a correlative general tense of a Gaussian Transformation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

As To Kahler-Metric Preparation

As the Wick Action works to indirectly cause the initiation of the Kahler-Metric to become Gliosis upon that discrete quantum or quanta of energy that is to ensue, in so as to bear a Gaussian Transformation, -- once there is the presence of a viable antiholomorphic Kahler condition, that is to be attributed by the manner of the activity of either the here pertinent discrete quantum or the discrete quanta of energy -- that is to then to work to undergo the said Gaussian Transformation, -- the resulting domino effect of the Fourier-based activity that is to here to be most directly associated with the said initiation of the said Gliosis-associated Metric, will then be directed in so as to help at working to allow for the Fischler-Suskind-Mechanism eigenstate that is most associated with the respective given arbitrary discrete energy, that is to be undergoing such a so-stated transformation, to be happening at an optimum proximal locus, so that the directly associated eigenstate of the holonomoic substrate of the Klein Bottle will be delineated at such a locus, to where the ensuing Gliosis-related translation of the said Kahler-Metric eigenstate is to be positioned where it should, so  that those fractals of discrete energy may be re-attained by the here pertinent energy quantum or quanta, so that discrete energy may both persist and exist.  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

Norm-State-Projection Eigensets

Let us initially consider a set of norm-states, that work to perform one set of functional operation.  Such a Hamiltonian operator that is to here to consist of a group of cohesive norm-states, may here be called a norm-state-projection.  Furthermore, a set of norm-state-projections that operate as a group, in so as to work to perform one specific general function, may be called a norm-state-projection eigenset.  Let us next consider, in general, the array of gauge-metrics, that are here to be most directly pertinent to those sub-Fourier-based kinematic activities, that take place from a scope that takes place in less than one discrete increment of time.  None of such gauge-metrics are to here to be able to go an exact integer number into one discrete increment of instanton, to where, although any duration that is of a viable import to any living being, will tend to bear a discrete number of instantons, yet, any of such so-eluded-to gauge metrics that are here of a sub-Fourier-based tense, will tend to never bear an exact integer number of those said gauge-metrical-based durations into any viable time, to where these are here to occur at a level that takes place in less than one discrete increment of time.  Let's now consider a superstring, as it is eminent in its Yukawa-based inter-relationship with the Kahler-Metric, in a Gliosis-based manner.  Let us next consider the four general stages that such a directly affiliated discrete quantum of energy is to be involved with, over the course of one correlative individual instanton.  There will tend to be one norm-state-projection eigenset -- that is to be involved with that decompactification that is involved with the Polyakov Action.  There will tend, as well, to be one norm-state-projection eigenset -- that is to be involved with the main part of BRST, during the remainder of that said iteration of the respective proximal local Polyakov Action egienstate.  There will also tend to be one norm-state-projection eigenset -- that is to be directly associated with the eminent Yukawa-based inter-relation, that the said discrete quantum of energy is to bear with the holonomic substrate of the correlative Klein Bottle eigenstate, in a Gliosis-based manner, with the correlative increment of the Kahler-Metric -- right after the respective so-eluded-to iteration of the proximal local increment of BRST.  And, there will also tend to be one norm-state-projection eigenset -- that is to be directly involved with the directly associated discrete quantum of energy, that has been in the process of being in a Gliosis-based relationship to the Kahler-Metric, as the said discrete quantum of energy is to be going through the ensuing correlative Regge Action eigenstate -- at the relative ending part of instanton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Higgs Boson And The Klein Bottle

The general genus of activity, that is most directly related to the Fourier-based differentiation of the multiplicit Higgs Boson -- by which the multiplicit holonomic substrate of the Klein Bottle is to here be translated, in so as to work to allow for the group-related activity of the Kahler-Metric -- is a major influence, as to what works to help in the perpetuation and in the continuation of homotopy.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Dimensionality Of The Klein Bottle

Any given arbitrary eigenstate of the holonomic substrate of the Klein Bottle, works to bear two relatively Real Reimmanian spatial dimensions, and also one relatively Njenhuis spatial dimension -- per each Laplacian-based "fret" in which such a said eigenstate is to be interacting with a discrete quantum or a discrete quanta of energy, during any respective given arbitrary iteration of instanton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Klein Bottle -- the theoretical versus the actual

Theoretically -- a Klein Bottle eigenstate can not be penetrated by any norm-state-projection.  But in reality, this is how the holonomic substrate of a Klein Bottle eigenstate works to behave -- over the course of a correlative respective given arbitrary instanton.  Let us initially say that a discrete quantum of energy is to be going to go  into the Gliosis-based interaction of the Kahler-Metric.  The correlative superstring of discrete energy permittivity of such a given arbitrary case, is to have just undergone the simultaneous activity of the Polyakov Action and the Bette Action, over the course of BRST.  BRST is the first 6 hbars of a Planck Instant, that are out of a total of 2pi hbars of a Planck Instant, that work to comprise one instanton.  At this point -- the overall discrete quantum of energy of this case is to ensue in so as to barely immerse into the relatively top surface of the said holonomic substrate of the correlative Klein Bottle eigenstate, by "riveting" into this so-stated "top surface" -- while in the process, having to have the said overall discrete quantum of energy to fully compactify upon entry.  At this point --  the discrete quantum of energy is to shake back-and-forth a total of 8 times.  (Sixteen overall shakes then.)  Immediately after this -- the discrete energy is to then to tend to be pushed into the Regge Action, to where this said pushing will then tend to move in the manner of working to  fully decompactify the so-stated discrete bundle of energy.  This said interaction of the discrete energy quantum with the Klein Bottle,  will tend to take one-half of the remainder of the proximal localized instanton, while the ensuing Regge Action will tend to take the remaining one-half of the duration of instanton.  The discrete quantum of energy will then go into the generally unnoticed duration of Ultimon Flow -- while then iterating into its next delineation, in which such a discrete bundle of energy is to interact in a Gliosis-based manner with such a Klein Bottle eigenstate.  It takes a sequential series of 191 of such successive interactions, -- with a delineatory-based path, in which the said discrete energy is to be going in what may be termed of as its relatively holomorphic direction -- in order for those discrete fractals of energy to be re-attained, so that discrete energy may both persist and exist.
I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

As To The Cohomological Mappable-Tracing

The depiction of the Klein Bottle -- as an "open bag" that is "open" at the bottom, -- with an appendage that is angled-out at 22.5 Njenhuis degrees at the bottom toward the relative bottom-right, with a rounded closed top -- is a depiction of the cohomological mappable-tracing of a Klein Bottle eigenstate, as it is leaving the "main part" of that interaction of the Kahler-Metric, in which it is involved with discrete energy quanta.  However -- the holonomic substrate of any given arbitrary Klein Bottle eigenstate, is as a parallelopiped -- that is relatively open at the relative top.  (Although such a holonomic substrate works to contain the topological stratum of norm-state-projections.)  The physical activity of the Klein Bottle -- as it is undergoing the Kahler-Metric -- is what works to form that physical memory of those norm-state-projections, that are scattered in a Reimman-like manner, during such a so-eluded-to group-metric, -- in so as to work to form the resultant cohomological stratum.  When the Klein Bottle is to be going to go into the process of the Gliosis-based interaction of the Kahler-Metric with discrete energy quanta, then, its cohomological mappable-tracing will then be mapped-out in a Ward-Caucy-based 180 degree manner, from its general depiction.
I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

A Little As to When The Kahler-Metric Is Gliosis To Strings

When any given arbitrary superstring of discrete energy permittivity, is to be pushed into an eigenstate of the holonomic substrate of the Klein Bottle -- during the course of any respective given arbitrary individually taken iteration of instanton, in which the said respective superstring of such a case is to be brought into a Gliosis-based interaction with such a so-eluded-to eigenstate of holonomic substrate, -- the holomorphic direction of the said superstring is to be aligned with the general direction of the length of the so-eluded-to holonomic substrate of the said Klein Bottle eigenstate.  Furthermore -- the general holomorphic direction of an entire discrete quantum of energy, that is to be pushed into a Gliosis-based interaction with the holonomic substrate of such a Klein Bottle eigenstate, this happens to where this is to be aligned with the general direction of the length of the so-stated eigenstate of the Klein Bottle, -- over the course of each individually taken iteration of instanton, by which such a direct Yukawa-based wave-tug of the Kahler-Metric is to occur upon the topological substrate of such a discrete bundle of energy -- so that those fractals of discrete energy quanta may be re-attained, -- so that discrete energy may both persist and continue as discrete energy.  I will next elaborate as to how this works to involve the wave-tug of an orbifold eigenset, that is to undergo the Gliosis-based interaction of the Kahler-Metric with a set of discrete energy quanta that work to perform one specific function, in so as to work to re-attain their existing condition of being a packet of a discrete quanta of energy over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part 7 Of Session 1 Of Course 20 -- Calabi Manifolds And Calabi Interactions

Just as any respective given arbitrary electron drops an energy level, this general tense of activity -- of which works to bear an antiholomorphic Kahler condition -- will, at this point in activity, work to initiate a directly corresponding Wick Action eigenstate.  This said Wick Action eigenstate will then ensue to work to form a correlative Landau-Gisner Action eigenstate.  The holonomic substrate of what is to here act in so as to work to perform the so-stated Landau-Gisner Action eigenstate, will then work to cause what may be called of here as an eigenstate of the here proximal local Fischler-Suskind-Mechanism.  The just mentioned Fischler-Suskind-Mechanism, will then work to push the directly corresponding holonomic substrate of the correlative Klein Bottle eigenstate -- in so as to move this just mentioned eigenstate -- in what will here be in the relative norm-to-forward-holomorphic direction, in so as to work to move the so-stated holonomic substrate of the said Klein Bottle eigenstate -- into that general region of the relative Real Reimmanian Plane, so that those discrete quanta of energy, that are to here be in the need of re-attaining their fractals of discrete energy quanta, will be in such a substringular position, in so as to be facilitated to be able to then undergo their respective Gliosis-based interaction with the said holonomic substrate of the correlative eigenstate of the Klein Bottle.  This so-stated activity of the Kahler-Metric eigenstate, will happen just after the said electron that is to here be releasing its spare kinetic energy, has to have then just dropped that correlative energy level, that is here being discussed.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The 14th Test Solution To The Last Test Of Course 19

14)  The initial Fourier-based activity that I am to describe of, as to the Klein Bottle eigenstate -- is of appertaining to the holonomic substrate of a said individually taken Klein Bottle eigenstate.  As a respective given arbitrary Higgs Boson eigenstate is working to help move the correlative Klein Bottle eigenstate, into the norm-to-holomorphic direction at the start of the Kahler-Metric, the so-stated Higgs Boson eigenstate is situated at the relative center of the  norm-to-holomorphic end of the said Klein Bottle eigenstate -- as such a so-eluded-to Fourier-based activity is in the process of moving the said Klein Bottle eigenstate, into the relative range of the Real Reimmanian Plane that is here to be directly associated with the Fourier-based activity of those correlative superstrings of discrete energy permittiivty, that are, as eigenindices of the correlative one or more orbifold eigensets that are to here be directly associated, to undergo the so-stated Kahler-Metric.  Once the said Klein Bottle eigenstate has reached the so-stated relative tense of the here local Real Reimmanian Plane, the correlative Higgs Boson eigenstate is to then angle at 22.5 degrees -- in such a manner that is here to be subtended between the relative holomorphic and the relative norm-to-holomorphic direction, by which the so-stated Klein Bottle eigenstate is to ensue upon moving into.  Later on, as the so-stated Klein Bottle eigenstate is to then be moving back into the relative reverse-holomorphic direction, the correlative Higgs Boson eigenstate is to then angle at 22.5 degrees -- in such a manner that is here to be subtended subtended between the relative reverse holomorphic and the relative norm-to-holomrphic direction, by which the so-stated Klein Bottle eigenstate is to ensue upon moving into.  Once that the said Klein Bottle eigenstate has re-reached the initial spot as to the locus of where it had started to move upon the respective relative Real Reimmanian Plane, by which it had started to bear its Gliosis-based relationship to superstrings of discrete energy permittivity -- that were to enter into its Ward-Neumman bounds, in-between the individually taken increments of the here successive correlative iterations of BRST and the Regge Action eigenstates -- the correlative Higgs Boson eigenstate is to then be translated into bearing in the relative reverse-norm-to-holomorphic direction, as this so-stated Higgs Boson eigenstate is to now be located, in a Laplacian-based manner, at the relative reverse-norm-to-holomorphic positioning of the said Klein Bottle eigenstate. The 382nd to the 384th iterations of the correlative Kahler-Metric eigenmetric, work to reposition the Klein Bottle eigenstate, in such a manner by which it may strategically enter its ensuing eigenmetric of the Kahler-Metric.  This general format of activity, works to map-out a cohomological mappable tracing of a relatively deep bag-like bottle, that bears a handle that may be mapped-out at 22.5 degrees in the relative (-ihat, +zhat) direction, as the Klein Bottle is entering the Real Reimmanian Plane of the Kahler-Metric.  And as the correlative Klein Bottle eigenstate is to act in so as to leave this relative Real Reimmanian Plane, this will work to map-out a cohomological mappable tracing of a relatively deep bag-like bottle, that bears a handle that may now be mapped-out at 22.5 degrees in the relative (+ihat, -zhat) direction.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

About The Phenomenology That Is In The Klein Bottle

Inside the general Ward-Neumman parameters of that phenomenology, that is of the holonomic substrate of any given arbitrary eigenstate of the Klein Bottle -- there is a Higgs Boson eigenstate that works to guide its motion, in such a manner by which it is hooked to the so-eluded-to holonomic substrate of such a so-stated Klein Bottle eigenstate -- that is situated at the center of the immediate exterior to the relative norm-to-forward-holomorphic positioning (at the relative "top") of the said respective Klein Bottle eigenstate.  The rest of the room that is occupied by the Ward-Neumman bounds of such a so-stated "bottle-like" eigenstate of phenomenology, is filled with norm-state projections, that are put into such a boundary-like state, to where there is just enough ample room -- for it to work to include a relatively multivarious scalar magnitude of Hodge-based index, of what would enter here as fully uncompactified discrete quanta of energy.  The Laplacian-based spread of those first-ordered point particles that work to comprise the general Ward-Neumman bounds of the said holonomic substrate of such a said Klein Bottle eigenstate, tend to be both as homeomorphically and as homeogeneously spread as feasible.  As discrete energy enters the said Ward-Neumman bounds of such a so-eluded-to eigenstate -- any scalar amplitude that had effected the length of those superstrings of discrete energy permittivity, will be temporarily abated -- as the so-stated superstrings go into the Gliosis-based physical bounds of the said "bottle."  At this point, the bottle is to shake, in such a manner -- in so as to work to help those fractals of discrete energy quanta to be re-attained upon that Gliosis-based topology of the entering discrete quanta of energy, in so as to work to help in the process of tending to help, in the activity of keeping discrete energy both persistent and existent.
I will continue with the suspense later!  To Be Continue!  Sincerely, Samuel David Roach.

The Eleventh Test Solution To The Last Test Of Course 19

11)  The Klein Bottle goes through the process of the Kahler-Metric, subsequent to a prominent proximal localized state of affairs -- that may be called an antiholomorphic Kahler Condition.  Once there is any respective given arbitrary relatively local antiholomorphic Kahler Condition, that is to happen here from within a given specific region in the substringular -- the local correlative Wick Action eigenstate is to then work to initiate that motion of a correlative Landau-Gisner Action eigenstate, in so as to work to form the leverage of the Fischler-Suskind-Mechanism, -- in so as to move the local holonomic substrate of the Klein Bottle eigenstate , via the correlative Higgs Action eigenstate, into such a Yukawa-based field of those relatively local discrete quanta of energy, that are in need of undergoing what may be termed of here as the Kahler-Metric.  The said holonomic substrate of the Klein Bottle eigenstate, is to then be brought initially into the relative norm-to-forward-holomorphic direction -- until it is to reach the earlier mentioned relative Real Reimmanian Plane -- by which it may be brought into the ensuing Gliosis-based contact with discrete energy quanta, that are in need of re-attaining their necessary fractals of discrete energy quanta.  (This is, as well, in so as to help to cause those needed Gaussian Transformations to happen -- in so as to help at working to free-up space, so that the here relative given arbitrary respective local substringular region may be able to ensue those multiplicit Ward-Caucy-based conditions -- that are needed, in order for that unique region to not be clogged-up, at any viable locus in proximal space.)   Once that the just eluded-to activity of the said Kahler-Metric is to happen, in such a manner in so as to inter-relate with discrete energy -- so that the so-eluded-to discrete quanta of energy are to re-attain their fractals of such discrete energy -- the so-stated Klein Bottle eigenstate is to then be brought into what is here to be the relative reverse-norm-to-holomorphic direction, in such a manner in so as to work to produce a Fourier-based tense of a Ward-Caucy-based symmetry.  Since all of the superstrings that work to belong to any one orbifold eigenset, will tend to be of the same universal setting -- during the actual Kahler-Metric itself -- all of the superstrings that are to interact with the said holonomic substrate of one respective Klein Bottle eigenstate, will tend to be of the same universal setting.  Yet, immediately after the so-eluded-to Kahler-Metric -- the corelatve Klein Bottle eigenstate is to adjust by a pulsation, that is to work to involve three consecutive iterations of group-related instanton -- after which, the correlative Klein Bottle eigenstate is to work upon another substringular tense that is to undergo the Kahler-Metric.  Depending upon the summed differential geometric activity of the so-stated re-adjustment -- the ensuing activity of such a so-stated holonomic substrate of the initially stated Klein Bottle eigenstate, may or may not then act upon either a different universal setting that is to then need to undergo the Kahler-Metric, or, it may or may not then act upon a different region of the same universal setting that is to then need to undergo the Kahler-Metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Solution To The Second Question Of The Last Test Of Course 19 -- The Klein Bottle And Orbifold Differentiation

2)  The general flow of the Kahler-Metric, is as follows:  The holonomic substrate of an eigenstate of the Klein Bottle, is moved by the leveraging of the Fischler-Suskind-Mechanism -- in so as to be tugged by an eigenstate of the Higgs Boson, into the general relative forward-norm-to-holomorphic direction, until the said eigenstate of the Klein Bottle is to reach that given arbitrary Real-Reimmanian-based plane -- by which it is to interact with discrete energy quanta, in a Gliosis-based manner.  Once that the said eigenstate of the Klein Bottle has then reached the just mentioned plane, it is to then be translated per each successive iteration of group-related instanton -- as it is then moving in the relative forward-holomorphic direction, as the so-stated respective given arbitrary discrete energy quanta "tags along," by interacting with the so-eluded-to Schotky Construction-based compilation, as it is being translated to the relative "left."  After 96 consecutive iterations of group-instanton, that is of the so-eluded-to process of the said discrete energy quanta to here be interacting with the said eigenstate of the holonomic substrate of the Klein Bottle, the just mentioned Klein Bottle eigenstate is to then be re-translated back into the relative reverse-holomorphic direction, -- by the activity that is to here be involved with 95 ensuing consecutive iterations of group-related instantons.  (No locus of the iteration of the said Klein Bottle eigenstate is to here be repeated in this so-eluded-to group-metric.)  As the said reverse-holomorphic activity of the so-stated Klein Bottle eigenstate is then being translated back by 95 interactions of group-instanton, the correlative discrete energy quanta act in so as to again "tag along."  After this so-eluded-to Gliosis-based process, that is of the interaction of discrete energy quanta -- inter-mingling with the respective eigenstate of the holonomic substrate of the Klein Bottle, is to then happen, the just stated eigenstate is to then be translated in the relative reverse-norm-to-holomorphic direction -- to where this will then here work to cause the said eigenstate of the holonomic substrate of the Klein Bottle to be moved out of the Real Reimmanian plane, that had acted as the Yukawa-based Hamiltonian operand of the so-written Kahler-Metric-affiliated tense, that is of the correlative Fourier-related activity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Test Solution To The First Question Of The Last Test Of Course 19 -- The Klein Bottle And Orbifold Differentiation

1)  The holonomic substrate of an eigenstate of the Klein Bottle -- whose cohomological mappable tracing works to form what is generally conceived of as being the actual Klein Bottle -- is comprised of in the following manner:  One is to have a set of orientifolds, that is of two adjacent interconnected sets of world-sheets, -- that each bear a Wilson Linearity, that is of a rectangular-based nature, and this so-stated rectangular interconnection has a length that is four times the Planck Length, and two times the Planck Length in width.  The so-called "length" of such an entity, is delineated in a Laplacian-based manner -- in the relative holomorphic direction, while, the same so-called "width" of such an entity, is delineated from the relative reverse-norm-to-holomorphic direction, up to the relative forward-norm-to-holomorphic direction -- in a Laplacian-based manner.  The ends of such a holonomic substrate, are connected by a pair of orientifolds -- that have a relative "height" of the earlier mentioned two Planck Lengths, and this so-stated entity of holonomic substrate -- has a relative thickness -- that works to interconnect its length and height (the "height" of which is here the so-proscribed "width") -- that is of a Laplacian-based scalar magnitude of one Planck-Length.  The so-eluded-to structure of the said holonomic substrate, is as a parallelopiped, that has an open top, in so as to work to allow for the capacity of the here entering discrete energy quanta, that is to act in so as to reattain its fractals of discrete energy, to be able to enter into the Ward-Caucy bounds of the said holonomic substrate-affiliated eigenstate of the Klein Bottle, to be able to have the wherewithal to enter in here as such.  The motion of such an eigenstate of  holonomic substrate, works to form a respective genus of a cohomological mappable tracing -- that behaves as what is actually conceived of, over time, as the actual Klein Bottle eigenstate.  I will explain the shape of such a cohomological mappable tracing, in the process of answering a further test question later.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Session 16 Of Course 19, Test Questions To The Last Test -- The Klein Bottle And Orbifold Differentiation

1)  Describe the general shape of the holonomic substrate of a Klein Bottle eigenstate.

2)  What is the general flow of the Kahler-Metric?

3)  Describe the general difference of one orbifold eigenset that is of one universal setting, to another orbifold eigenset that is of a different universal setting.

4)  What is the general condition of the core-field-density of a superstring of discrete energy permittivity?

5)  Describe the Laplacian-based lay-out of the Rarita Structure, from its opening and to its supplemental end.

6)  Describe the general tense of the eigenstates of the holonomic substrate of the strong force, when this is taken in terms of the Rarita Structure.

7)  Describe, in general terms, what gravity waves are.

8)  Describe, in general, what can happen to the strong force -- in so as to open-up conditions for the weak force.

9)  Describe the relationship between gravity, discrete energy permittivity, and discrete energy impedance.

10)  Describe the relationship between both elastic and fractal modulae at a microscopic level, to discrete energy permittivity and discrete energy impedance.  Give two respective examples of how this relates to a more macroscopic level -- one for the general elastic modulus and one form the general fractal modulus.

11)  Describe how alterations in the flow of the Klein Bottle, in general, may often work to tend to effect the setting of a correlative orbifold eigenset.

12)  Describe how a tachyonic orbifold eigenset may interact with an indistinguishably different tense of a set of Kahler-based fields.

13)  Describe the general tense of the indistinguishable differences of norm-conditions -- as these are being recycled throughout the Ultimon.

14)  Describe the general tense of the cohomological mappable tracing of a Klein Bottle eigenstate.

Part Two Of Session 15 Of Course 19 -- The Klein Bottle And Orbifold Differentiation

Let us here initially consider one given arbitrary Klein Bottle eigenstate -- as the holonomic substrate of what I have described of in the past as being comprised of in the manner as being of the "Schotky Construction."  Let us next consider, that the said holonomic substrate of the respective eigenstate of the Klein Bottle, is to here be in the process of what may be here described of as a duration or an eigenmetric of what may be desecribed of as the Kahler-Metric.  Let us next consider that the so-stated eigenmetric of the Kahler-Metric, is to be initially in the process of working to help at the attainment of having those superstrings, that would here be directly corresponding to one orbifold eigenset (one set of one or more superstrings, that function in so as to have the bearings of one specific subatomic operation), to be able to regain those fractals of discrete energy quanta -- in so as to work to both perpetuate and continue the prolonged existence of discrete energy quanta, that are unfrayed, to remain as the holonomic substrate of the respective discrete energy quanta, by which the eigenmembers -- which are here as the substringular eigenindices -- that would here work to comprise the so-stated orbifold eigenset, are to here continue to be in the process of being a set of both cohesive and covariant integrable discrete energy -- that would work here as a Hamiltonian operator, that had one specific substringular task to perform.  Next, let us say that the so-stated Klein Bottle eigenstate of holonomic substrate, was to initially be performing in such a manner, in so as to partake of an initial directly corresponding universal setting.  Let us next say that the initial general setting -- as to what was here to be of both the relative forward-norm-to-holomorphic end of the said Klein Bottle eigenstate, and, the relative reverse-norm-to-holomorphic end of the said Klein Bottle eigenstate -- were to be vibrating through such a discrete Hamiltonian operand, by which the so-formed Lagrangian-based path was here to engage in a Fourier-based activity in so as to both vibrate and shimmer, in a general path -- that one may typify as a basically unitary Lagrangian-related space-time-funneling, over the initial general pattern, by which such a Hamiltonian operation would be starting to here move into the tendency of being extrapolated, in so as to act in the same universal setting as those adjacent eigenindices of discrete energy quanta, that would work here to bear a tendency of a Gaussian-based orphoganation with those superstrings -- that are of this so-stated orbifold eigenset that I have been mentioning in this respective given case.  If the initially stated Klein Bottle eigenstate of holonomic substrate, were to then torque as one whole entity -- out of the initial so-eluded-to discrete unitary Lagrangian path, that is here to exhibit the latter mentioned so-eluded-to supplemental-based funneling  -- then, this would tend to alter or perturbate at the Poincare level, the Gliosis-based universal setting of both the said eigenstate of the Klein Bottle, as well as to then heuristically alter the universal setting of the said respective orbifold eigenset, -- in so as to be introduced as a Li-based eigenmember, towards the latter written second so-eluded-to tense of universal setting.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.