Metaphor Between Ultimon Flow And Biological Circulatory Systems

 One may metaphorically think of Ultimon Flow, as being likened to the circulatory system of a biological entity; And, furthermore, one may metaphorically think of each individually taken iteration of group-related instanton, as being likened to the heartbeat of a biological entity. Sincerely, Samuel David Roach.

Venue-Related Attribute That Works To Allow For Energy Inter-Relation

During a span of which happens to be near the ending part of that generally unnoticed duration of Ultimon Flow, of which is here to occur right before the succeeding iteration of the quaternionic-instanton-field-pulse-mode, -- there is here to be a directly associated mild untying and retying of mini-stringular segmentation, of which is here to occur -- due to the need for that general Ward-Cauchy-related condition of homotopy to tend to exist, when one is here to consider what the countless appropriations of discrete energy have just been encoded for in time and space, in order for the multifarious conditions, that are here to be correlative to the ensuing delineations of discrete energy, to be distributed without any unforseen breakage of the directly corresponding multifarious holonomic substrate of the correlative segmentation of mini-stringular fabric-related entity; -- in so as to tend to help in working to allow for a reasonable translation of that discrete energy quanta of energy of a cohesive set of universes, to be able to be re-distributed to their ensuing location without any unforeseen fraying, -- to where this occurs, in so as to work to prepare for that ensuing mode of activity to happen -- so that there may be a directly viable and eminent physical relationship between the general multiplicit Hamiltonian of discrete energy with the general multiplicit Lagrangian of discrete energy ( a relationship between the energy of "thing" with the energy of "motion.")  This then works to explain a little bit, -- as to the importance of the occurrence of the "Space-Time-Bearing Entanglement Topological Setting" to need to happen, right before the quaternionic-instanton-field-pulse-mode, in so as to tend to prevent the countless super string-related fields from any unforeseen fraying or breakage. To Be Continued! Sincerely, Sam Roach.

More As To The Purpose Of The Quaternionic-Instanton-Field-Pulse-Mode

Intrinsically speaking; the Lagrangian of discrete energy (the energy of the motion of such said discrete energy) and the Hamiltonian of discrete energy (the energy of the holonomic substrate of such said discrete energy), correlate to each other -- by a factor of (-i);
And, as an ansantz, (-i) equals the negative square-root of (-1).
When one takes (-i) to the power of Four, it is equal to "1."  ((-i)^4 = 1).
Consequently, when one is to consider my particular model of string theory; the general activity of the quaternionic-instanton-field-pulse-mode, of which I believe to happen to occur, during that portion of the generally unnoticed duration of Ultimon Flow, --  that is to happen immediately before the ensuing iteration of group-related instanton, -- works to help to directly equate the "motion" of energy (its directly affiliated Lagrangian) with the "thing" of energy (its directly affiliated Hamiltonian) -- whereby, there is then to be a direct relationship, that is consequently to exist between the general multiplicit superstringular activity, --  as taken at a fundamental level, And, its corroborative fabric-related entity, --  that is again to be taken at the recently inferred fundamental level, of such a respective case. Sincerely, Sam Roach.

Quite An Interesting Editorial

When cognition came into a Gliosis-related contact with the core of the "Big-Bang," at the instant of the start of the multiverse, -- time was created, via a direct interaction of ideas with inertia.  Consequently; the interaction of the resultant frequency per earlier stated cognition per (just created) time, worked to form the general condition of the acceleration of those composite phenomenology, which had just existed at the core of that fabric, that had just been drawn outward, in the process of the occurrence of the "Big-Bang."  Since this overall general process worked to form both "time" and "acceleration," those countless components of holonomic substrate, that had just initially existed at the initial core of what "turned-out" to be the "Big-Bang," needed to go into the process, of what was here to be the expansion of each individually taken universal setting. P.S.:  All of the universes of each set of parallel universes, are entangled amongst each other.  To further illustrate; please read some of my earlier writings, as to the concept of Ultimon Flow. Sincerely, Sam Roach.

A Correction To Some Of My Recent Posts

I was recently studying both some of my past work, as well as looking over the math that I had done, as appertaining to a couple or so of my past posts.  It appears, that what I had termed of as being of a "tori-sector-range," is actually more succinctly -- a "dimensional-train," that is here to be of only one layer of reality, that is appertaining to one universe that is out of a set of parallel universes.  It also makes a little more sense, that if you were to consider that the "cross-sectional" thickness of the "dimensional-train," that is of the ever torsion-related windings of one overall universal setting,  is still to be at least somewhat similar to my previous estimation, that this concept; whereby, if you were to consider that a "tori-sector-range" that is to be as a "dimensional-train," that is here to work to represent the ever torsion-related windings of one particular layer of reality, that is of one specific universe; that it may be possible, that, if you were to divide the size of the so-stated "cross-sectional" region of a "dimensional-train" that I had earlier stated, by the number of layers of reality of one universe (from within a set of parallel universes), that this consequential resultant "dimensional-train," could be thought of as being or appertaining to the ever torsion-related linkage, that is here to thereby act, in so as to web together the workings of one specific layer of reality, that is part of one universal setting, -- during each successive iteration of the generally noticed duration-related activity of what I term of as being of Ultimon Flow. Sam Roach.

An Attempted Link Between Two Theories

First of all:  Do you remember how I had once stated to the general effect, that all of the universes of one set of parallel universes exist, -- in a such a manner, to where these were here to be inter-twined amongst each other?  Next; do you remember me stating, that all of the discrete quanta of energy of one particular universe, that is of one particular set of universes (parallel universes), are here to tend to exist along, what I had termed of here as being of a "tori-sector-range"?  Let's say, for instance, that all of the discrete energy, that are here to be of one particular universe, during those substringular iterations of the generally noticed duration-related moments of Ultimon Flow -- as this is here to be of one specific given arbitrary "tori-sector-range," when these are here to be in continuation of belonging to the same said respective inferred universe, are here to tend to exist along a "strip" of space-time-fabric (aside from those certain homotopic interconnections, that work to bind various increments of one universe in correlation to the others) -- that is here to bear a "cross-sectional slice," that I have estimated here, to be somewhere on the order of being about:

1.5808517*10^(-32) meters By 8.5613512*10^(-27) meters.

Such a said "slice," may be thought of as being an ever twisting and twisted Minkowski-related "dimensional-train," -- that is here, as a tense of being both of a multi-varied torsion of a flat space, that may, as well, be thought of as being an integrative tense of existing as a tense of a Hilbert space also.
When one is to put all 91*10^(81) universes, that are of all of one set of parallel universes together, this works to help at making a tense of a volume-related realm of reality.

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

Cycles Of Pressurized Vacuum

During group-related instanton, that tense of a pressurized vacuum, -- that is here to exist in-between the countless eigenstates of mini-stringular segmentation -- is to bear a relatively high scalar amplitude of intensity.  Whereas; when one is here to be considering iterations of the generally unnoticed duration of Ultimon Flow, that tense of a pressurized vacuum, -- that is here to exist in-between the countless eigenstates of mini-stringular segmentation -- is to bear a relatively low scalar amplitude of intensity. I will continue with the suspense later!  To Be Continued! Samuel Roach.

Some Stuff As To Space-Time-Fabric

Mini-Stringular Segmentation works to form those general fields, -- by which discrete energy and norm-state-projection-related commutation, are thence to be able to be held together, via what may be termed of here as being the general substringular condition of "homotopy." In-Between the countless eigenstates of mini-stringular segmentation, that are here to be existent in the substringular, -- there is the multiplicit proximal local presence, of what I term of here, as being the phenomenology of "pressurized vacuum."  The overall arena, by which the substringular is here to be exhibited by discrete energy -- over the course of the sequential series of the countless iterations of those instants, of what I term of as being the generally noticed durations of Ultimon Flow, there tends to generally  be the condition, by which such an arena is here to be filled by the summation of both the overall scalar magnitude of mini-stringular segmentation, Plus, the overall scalar magnitude of that pressurized vacuum, that is here to exist in-between the strand-like eigenstates of the said mini-stringular segmentation. I will continue with the suspense later! To Be Continued! Samuel David Roach.

Delineation Of Strings At Orbifold Eigenset

Those superstrings of discrete energy permittivity, that work to comprise any given arbitrary orbifold eigenset, during the course of any one given arbitrary iteration of the generally noticed duration of Ultimon Flow, -- will  tend to be delineated at the topological surface of the external shell of the holonomic substrate, that is of the phenomenology of the respective given arbitrary cotangent bundle -- that is here to be of the delineated structure of such a said respective given arbitrary orbifold eigenset.  I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

Right Before BRST

At the ending of any one given arbitrary iteration of the generally unnoticed duration Of Ultimon Flow -- which is during the quaternionic-instanton-field-pulse-mode -- each and every discrete quantum increment of transveral energy (as treated here as a monopole of discrete energy), as well as each and every discrete quantum increment of radial energy (as treated here as a monopole of discrete energy), -- is to bear such a quaternionic-related quantum-related effect, as is to be applied to the just inferred about eigenstates of discrete quantum energy -- to where the energy-based tense of each and every lowest common increment of Hamiltonian operator is then to be synchronous to the energy-based tense of each and every directly corresponding Lagrangian-based motion.  This then works to directly associate the actual "stuff" of discrete energy with the actual "motion" of discrete energy, -- in a manner in which these are to bear a tense of synchronous unitization, so that energy may have any organization at all -- which helps to form the basic general condition of energy to then to be able to both persist and exist at all. To Be Continued!  Sincerely, Samuel Roach.

A Little Bit Of A Reminder From A While Ago

As a little bit of a reminder from a while ago -- every universe from each set of parallel universes, is inter-twined (intermingled) with every other universe of such a said set of parallel universes.  There are three sets of parallel universes.  These three sets of parallel universes, work to comprise what I term of as the Ultimon.  Each set of such universes, exists in two virtual hoops -- the outer external of such virtual hoops exists for forward-time-bearing momentum, and the inner-internal of such virtual hoops exists for backward-time-bearing momentum.  These said virtual hoops are virtual, because these work to bear a relatively wide annulus (to where each of such "virtual hoops," is here to exist as two interconnected tubes) -- at the center of their Nijenhuis cross-sectional region.  These three set of virtual hoops, exist adjacent and interconnected to one another -- with a relatively small annulus at the center of their Nijenhuis cross-sectional region.  There are also spots along the internalized contour of these virtual hoops, where phenomenology may be brought out of these hoops, in less than 1 Nijenhuis Planck Instant -- to help to allow for Ultimon Flow to happen (including in so as to work to allow for an inter-relationship between forward-time-bearing momentum and backward-time-bearing momentum.)  This should work to help at explaining what I meant a little earlier.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Preparing For The Polyakov Action

Any one specific superstring of discrete energy permittivity, in general, is to tend to gain partition-based discrepancies as it is going into BRST (as it is to tend to be compactified in its spatial dimensionality) -- since such a respective given arbitrary superstring is here to prepare for the immediately ensuing Polyakov Action eigenmetric. Furthermore -- any one specific superstring of discrete energy  permittivity, in general, is to tend to lose partition-based discrepancies as it is going into the directly corresponding Regge Action eigenmetric (as it is to tend to be decompactified in its spatial dimensionality) -- since such a respective given arbitrary superstring, is here to prepare for the immediately ensuing generally unnoticed duration of Ultimon Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Harmonics Of Vibrating Open Loops

When one is here to be considering a Ward-Cauchy-related open-loop phenomenology, that is isotropically stable -- such as a (1+1) string -- such a said superstring of discrete energy is to tend to harmonically vibrate mildly, during any given arbitrary iteration of BRST, in which it is here to then to work to form a tightly-knit homological eigenstate, at the proximal local region that is Poincare to the core-field-density of the topological stratum of the so-stated open-loop phenomenology.  Such a said (1+1) string, though, is to vibrate mildly in an anharmonic manner, during the directly corresponding sequential iterations of the generally unnoticed duration of Ultimon Flow.  Yet -- when one is here to be considering a Ward-Cauchy-related open-loop phenomenology, that is isotropically unstable -- such as a (2+1) string -- such a said superstring of discrete energy is to tend to vibrate mildly in an anharmonic manner during any given arbitrary iteration of BRST, in which it is here to then to work to form a tightly-knit homological eigenstate, at the proximal local region that is Poincare to the core-field-density of the topological stratum of the so-stated open-loop phenomenology.  Such a sad (2+1) string, though, is to vibrate mildly in a harmonic manner, during the directly corresponding sequential iterations of the generally unnoticed duration of Ultimon Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Bonding Between Two Different Forming Open-Loops

Let us consider an open-strand of substringular phenomenology, that is here to bend in a hermitian manner -- in conjunction with another open-strand of substringular phenomenology that is here to bend in a hermitian manner, -- in so as to form two different distinct substringular forming open-loops, that are to ensue in so as to twine together at one covariant proximal locus, in so as to then to link together to work to form an open substringular loop, that is to consist of two tied together eigenstates of topological stratum that are to both, when individually taken, to bear a gauging as being of the scalar amplitude of  the Planck Length.  As the two internally-based ends of the two initially stated open Ward-Cauchy strands, that are to here be forming as two distinct Ward-Cauchy open-loops, are to approach a covariant proximal local region of a correlative bonding cite in which to twine together -- to where each distinct motion of the said dual operation of the so-eluded-to holonomic substrate, are to be approaching one another, to where the two forming open-loops are to come towards each other over the course of one dual general motion -- per iteration of group-related instanton.  In-Between each individually taken iteration of group-related instanton, the substringular fabric is to go through the respective individually taken iteration of the generally unnoticed duration of Ultimon Flow.  At the point of the Gliosis-based contact of the two different forming open-loops -- that are to tie together in so as to work to form one overall Ward-Cauchy-related open-loop in the substringular -- the proximal locus of such a covariant, codeterminable, and of a codifferentiable nature, is to be reached, in so as to work to delineate the two forming open-loops -- at such a position to where the internal dual-ends are then to be basically touching flushing in a Ward Supplemental manner that is to bear a relatively minimal mask angling of internal resonation, over the course of the then iterative course of one eigenindex of BRST.  At this point in time, the multiplicit dual-state of Li-based Hamiltonian operation, is to then to work to cause the internal topological stratum of arc-based mini-stringular segmentation of one correlative Li-group -- to knot upon the other internal topological stratum of arc-based mini-stringular segmentation that is consequently upon of the initial Li-group, -- in so as to work to link the one forming open-loop phenomenology upon the other forming open-loop phenomenology.  At this point, the external group-action of the surrounding environment, will work to help at causing the ensuing resultant holonomic direction of the then resultant open-loop phenomenology -- as may be mapped-out over an extrapolation that would here involve an even Hamiltonian-related gauging.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Cohomological Pumping And Tachyonic Flow

The condition of cohomological pumping, eludes to that general genus of activity -- that happens during any given arbitrary case of tachyonic flow.  This is even though the general condition of tachyonic flow, is not the only case to where there is to be a tense of cohomological pumping.  At a general fractal of a tense -- cohomological pumping, eludes here to the general condition of Ultimon Flow.  Ultimon Flow works to help at explaining as to how both the conditions of tachyonic flow and the conditions of quantum leaps are able to be possible.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Flow Of Energy Through Time

At group-related instanton -- the correlative discrete quanta of energy are pretty-much basically at a standstill, -- even though there is still a great deal of viable activity that is to be happening to the said discrete quanta of energy, during the so-eluded-to discrete increment of time.  Right after group-related instanton, -- the superstrings go into the generally unnoticed duration of Ultimon Flow.  Right before the ensuing generally noticed duration of Ultimon Flow, -- just as the discrete quanta of energy are to then be fully encoded for, in so as to then to work to reach their next delineation, -- then, these said discrete quanta of energy are to then to iterate again at their ensuing positions, over the course of the ensuing group-related instanton.  The multiplicit successive series of group-related instantons, via the multiplicit successive series of the delineations of the discrete quanta of energy -- is, in general, the flow of energy through time.  To Be Continued! Sincerely, Samuel David Roach.

Some Additional Stuff About The Polyakov Action

The actual process of that decompactification, that is to be of that general tense of the activity of the Polyakov Action -- is to only to work to metrically comprise the initial (2pi-6)/2pi portion of the overall duration of instanton.  The last (2pi-6)/2pi portion of the overall duration of instanton, is when the respective Kahler-Metric (when the Kahler-Metric is to be Gliosis to the directly corresponding discrete energy of any said respective given arbitrary case) and/or the Regge Action, is to be Yukawa to the kinematic activity of any one respective given arbitrary discrete quantum of energy. So, the fully implemented scalar magnitude of the Polyakov Action eigenstate, upon one discrete quantum of energy -- that is to be Yukawa to any one given arbitrary respective superstring of discrete energy permittivity -- given what is to here to be pertinent to its scalar amplitude of the inverse of its correlative Lorentz-Four-Contraction, is to last for the relatively central ((2pi-2*((2pi-6)/2pi))/2pi) of the  metrical duration of any one respective iteration of instanton, -- during the generally noticed iteration of Ultimon Flow.  During the rest of the Polyakov Action, in general -- there is to be the ebbing of flow of that general tense of mini-stringular segmentation, -- that is to happen in order to work towards an optimum condition of homotopy during BRST.
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 Details Of The Regge Action

Let us here consider a superstring, that is in the process of undergoing the Kahler-Metric -- over a relatively transient sequential series of iterations of group-related instantons, at a relatively set Majorana-Weyl-Invariant mode -- that is to happen here as a Fourier-based translation of metrical-gauge-based Hamiltonian operators, that act here over time.  Let us particularly here, consider the "heart" of the Yukawa-based interaction, that is of the Fourier-based involvement of the directly corresponding  Kahler-Metric with the so-stated superstring of discrete energy permittivitiy -- that is effective in this given arbitrary instant under consideration.  This would then be the general particular case, of as to when the so-eluded-to discrete energy quantum of energy of such a said case, is in a Gliosis-based tangency with the directly corresponding holonomic substrate of the Klein Bottle eigenstate.  Such a so-eluded-to eigenstate of the holonomic substrate of the said Klein Bottle,  that will here tend to work to move in a kinematic manner, over such a definitive portion of such a so-eluded-to portion of the Kahler-Metric -- will then tend to happen in such a manner, in which the said Yukawa-based interaction, that has been so-inferred in this case, is to be of a sequential series of those so-eluded to direct contacts of the said superstring of discrete energy permittivity, with the respective given arbitrary Klein Bottle eigenstate.  Over the course of one single iteration of group-related instanton -- in which the so-stated superstring of such a case has just directly interacted with the said holonomic substrate of the so-stated Klein Bottle eigenstate, of which will occur for (2pi-6)/2 of one Planck instant of Real Reimmanian time, right after the directly corresponding iteration of the correlative associated iteration of BRST -- the remaining (2pi-6)/2 of one Planck instant of Real Reimmanian time, that is to directly ensue from that gauge-metrical activity that is of one Gliosis-based interaction of the said superstring with the said Klein Bottle eigenstate, is to be of the involvement of the so-stated superstring with the sub-Fourier-based activity of the directly corresponding iteration of one Regge Action eigenstate.  When the Kahler-Metric is to be directly involved with the kinematic activity of a suiperstring of discrete energy permittivity -- right after the Gliosis-based contact of the said superstring with the said Klein Bottle eigenstate -- the said superstring will then tend to move at 45 Ward-Caucy-based degrees, in such a manner to where the superstring will here go from a condition of complete compactification to a condition of complete decompactification, in so as to go into such a Laplacian-based condition in so as to be redyed for the generally unnoticed or Njenhuis duration of Ultimon Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little Bit As To Substringular Harmonics

The harmonics mode of the vibrational oscillation of a superstring -- during the generally noticed duration of instanton -- is related to the format of its spin. For example, if a superstring bears a harmonic mode during BRST, then, the said superstring will be said to have a whole spin. Yet, if a superstring bears an anharmonic mode during BRST, then, the said superstring will be said to have a fractional spin. Bosonic superstrings are closed strings. Closed superstrings that are not heterotic, are two-dimensional superstrings. Fermionic superstrings are open strings. Open strings are one-dimensional superstrings. Fermionic superstrinigs bear an anharmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices during BRST. Fermionic strings are said to have a fractional spin. Bosonic superstrings bear a harmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices during BRST. Bosonic strings are said to have a whole spin. During the generally unnoticed duration of Ultimon Flow, fermionic superstrings bear a harmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices over the period of the said general format of duration mentioned here in this sentence. Also, during the generally unnoticed duration of Ultimon Flow, bosonic strings bear an anharmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices. Superstrings, though, have more to do with the angular momentum of discrete energy, while, their directly corresponding Fadeev-Popov-Trace eigenstates have more to do with the spin-orbital momentum of discrete energy. Superstrings are discrete quanta of energy permittivity, while Fadeev-Popov-Trace eigenstates are discrete quanta of energy impedance.  Yet, to some extent, every physical phenomenon bears at least some sort of angular momentum, and every physical phenomenon bears at least some sort of spin-orbital momentum. Both superstrings and Fadeev-Popov-Trace eigenstates have more to do with the pointal-based nature of discrete energy than of the wave-based nature of discrete energy.  However -- the directly corresponding counterstrings of discrete energy have more to do with the wave-functionability of energy permittivity, while the directly corresponding first-ordered light-cone-gauge eigenstates, when taken individually, have more to do with the wave-functionability of discrete energy impedance.  The drive of a phenomenon through a directoral-based Lagrangian, is the general operation of a tense of angular momentum. The shaking-like wave-tug/wave-pull of a phenomenon through a directoral-based Lagrangian -- is the general operation of a tense of spin-orbital momentum. The angular momentum of superstrings, and, the spin-orbital momentum of Fadeev-Popov-Traces -- works to relate the basis as to how the various spaces and sub-spaces of the substringular inter-relate, while, the spin-orbital momentum of superstrings and the angular momentum of Fadeev-Popov-Traces -- works to relate the basis as to the covariant-based parity that exists among the various spaces and subspaces in the substringular. Again, superstrings are discrete units of energy permittivity, while, Fadeev-Popov-Traces are discrete units of energy impedance. Hold onto your hats, and, I will continue with the suspense later! Sam Roach.