Symmetries Of Cohomologies

Let us consider a given arbitrary quantum of discrete energy permittivity, during BRST.  This is when both the Polyakov Action and the Beti Action are happening to the correlative discrete quantum of energy, simultaneously -- through the vantage-point of a central conipoint.  The so-eluded-to superstring and its counterstring, during such a tense of a gauge-metric, are not to then to be in the process of going through a Lagrangian-related genus of motion -- since this is here to be happening, over the course of one discrete instant of time.  As this is happening, -- the said superstring is to be vibrating at the correlative proximal locus of its Sterling Approximation.  During BRST, the said string -- whether the correlative superstring of discrete energy permittivity is here to be either of a bosonic nature or whether it is here to be of a fermionic nature -- is here to form a vibrational oscillation, that is to be either of a respective harmonic nature or of a respective anharmonic nature.  (Such a said vibration is here to be of a harmonic oscillation if it is of a bosonic nature, or such a said vibration is here to be of an anharmonic oscillation if it is of an fermionic nature.)  As an aside:  The topology itself of a superstring at the Poincare level, that is inherent to a discrete quantum of energy permittivity, is extraordinarily smaller in thickness than the respective circumference or its respective length than such a so-eluded-to superstring.  (As a general idea so that you get the jist -- a superstring is on the order of 10^(-43)* as thin, as it is respectively round (bosonic) or long (fermionic.)   So, as such a said given arbitrary superstring of discrete energy permittivity and its directly corresponding counterstring, are vibrating during BRST -- the directly corresponding topology of the holonomic substrate of the said discrete quantum of energy -- is to be interacting in a Gliosis manner with the norm-state-projections that surround it, in so as to work to form what may here to termed of here as a Gliosis-Sherk-Olive cohomology.  Such a GSO cohomology, tends to be of a toroidal-related shape for such a so-eluded-to bosonic string, and such a GSO cohomology tends to be either disc-shaped, washer-shaped ( if the correlative superstring is swivel-shaped), or conical-shaped, for such a so-eluded-to fermionic string.  Consequently, the GSO cohomology of a superstring of discrete energy permittivity, that is bosonic in nature -- tends to be symmetric in differential geometry to its directly corresponding counterstring, during BRST, -- whereas, the GSO cohomology of a superstring of discrete energy permittivity, that is fermionic in nature -- tends to be assymetric in differential geometry to its directly corresponding counterstring, during BRST.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Four Of Session 2 Of Course 20 -- Calabi Manifolds And Calabi Interactions

Do you remember me mentioning the two sets of zero-norm-state-projections that work upon that discrete quantum of kinetic energy permittivity, in order to allow for that process that may be called the Fujikawa Coupling via the Green Function?  This involves one of such sets of zero-norm-state-projections, that is to here act upon the pointal-based quantum of discrete kinetic energy permittivity (the respective given arbitrary superstring) -- and one of such sets of zero-norm-state-projections, that is to here act upon the wave-based quantum of discrete kinetic energy permittivity (the correlative respective given arbitrary counterstring).  The angle that exists in-between the locus of Gliosis-based contact, in which the initially so-stated set of zero-norm-stated projections is to be working to form an abelian-related Fourier-based Yukawa Coupling upon the said superstring of discrete pointal-based kinetic energy permittivity, in so as to undergo a successive set of iterations of group-related instantons, in so as to work to allow for the correlative activity of the Fujikawa Coupling via the Green Function -- in so as to help the said discrete quantum of kinetic energy permittivty to subsequently work to form a photon -- and the Laplacian-based position-based iterative delineation at which the correlative respective Fadeev-Popov-Trace eigenstate is to here be in the process of being "tagged-along," is of a Ward-Caucy-based inter-relation of 22.5 degrees. As well, the angle that exists in-between the locus of Gliosis-based contact, in which the secondly so-stated set of zero-norm-state-projections is to be working to form an abelian-related Fourier-based Yukawa Coupling upon the said counterstring of discrete wave-based kinetic energy permittivity, in so as to undergo a successive set of iterations of group-related instantons in so as to work to allow for the correlative activity of the Fujikawa Coupling via the Green Function -- in so as to help the said discrete quantum of kinetic energy permittivity to subsequently work to form the counterstring of a photon -- and the Laplacian-related position-based iterative delineations at which the correlative respective superstring that is of the pointal-based nature of discrete kinetic energy permittivity, is to to here be in the process of being "tagged-along," is of a Ward-Caucy-based inter-relation of 22.5 degrees.  Due to the trivially isomorphic assymetry that is to here exist, in both of these two said general cases, of a proximal localized Ward-Caucy-based torsioning, that -- due to the just mentioned manner of assymetry -- works to form an abelian eigenbase of a general Fourier-related activity, in spite of the non-abelian nature of the Laplacian-related delineation of such a respective torsioning.  In both the case of the superstring, and in the case of the counterstring -- the correlative individually taken set of zero-norm-state-projections, will then work to form the equivalence of a supplemental-based wave-tug upon the Gliosis-based locus as to where the so-eluded-to discrete quantum of kinetic energy permittivity is to bear its so-eluded-to Yukawa Coupling, as to the ensuing activity of what is here to be the activity of the said Fujikawa Coupling, to where, in spite of the so-stated angling of the Laplacian-based Hamiltonian curvature that is to here be pushed at an angle that is not actually supplemental, -- the resultant Hamiltonian-based operation of the wave-tug that is to be applied in both of the eluded-to cases of a Yukawa-based thrust -- will then work to form a propagation that is to here happen to both the superstring and to its counterstring simultaneously via the vantage-point of a central conipoint, that is of a relative Wilson linearity to, what would be in both cases, in the relative forward-holomorphic direction as to the directoral tug of the then forming photon and its correlative counterstring.  I will continue with the suspense later! To Be Continued! Sincerely, Sam Roach.

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

An eigenstate of a fractal of a magnetic state may be viewed of as a discrete unit of the spin-orbital momentum of the composite of any given arbitrary superstring, its correlative counterstring, its correlative Fadeev-Popov-Trace eigenstate, and its correlative first-ordered light-cone-gauge eigenstate -- as may be extrapolated during one respective given arbitrary iteration of group-related instanton -- in which such so-stated physical states may be considered of as working to bear such a so-eluded-to homotopic relationship. The said superstring and its directly corresponding  counterstring work primarily as the Hamiltonian operators of one respective given arbitrary unit of discrete substringular angular momentum, and thus, the said superstring and its correlative counterstring act primarily as a fundamental fractal of an electric charge.  (Since electric charge is due to the processes of permittivity).  This happens, as such a so-stated superstring and its correlative counterstring are pulled along in the substringular -- over a successive series of group-related instantons.  The said Fadeev-Popov-Trace eigenstate and its directly corresponding first-ordered light-cone-gauge eigenstate, work primarily as the Hamiltonian operators of one respective given arbitrary unit of discrete substringular spin-orital momentum, and thus, the said Fadeev-Popov-Trace eigenstate and its correlative first-ordered light-cone-gauge act primarily -- as a fundamental fractal of discrete magnetic force. (Since magnetic force is due to the processes of impedance.)  -- as such a so-stated Fadeev-Popov-Trace eigenstate and its correlative first-ordered light-cone-gauge eigenstate, are pulled along in the substringular, over a succession of two or more consecutive group-related instantons.
To Be Continued! Sincerely, Sam Roach.

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

The spacing that exists in-between orbifolds, exists in matrices which may be either normalized or un-normalized, when this is taken in terms of the activity and the existence of the spin-orbital indices -- these said indices of which are formed by the vibrational motion of those superstrings of discrete energy permittivity that work to comprise each of the respective given arbitrary orbifolds, that one may be dealing with in any said given arbitrary example.  Yet, orbifold eigenstates are always differential -- in terms of the Klein normalization that exists between the respective relative Planck-like phenomena or Fadeev-Popov-Trace eigenstates, that work to comprise the discrete energy impedance eigenstates that one would then be dealing with in this respective given arbitrary case in point.  This is in consideration of the integrative superstrings that are directly of a Yakawa-based kinematic nature -- these superstrings, of which work to comprise the here given associated orbifolds that I am discussing here, which are of the same universal-based setting, and thus, these superstrings of this case bear a likewise Gaussian genus of inter-relationship -- that works to put these so-eluded-to interdependant superstrings to be of a Real Reimmanian-based relationship, to where this works to form a viable relationship between the respective one set of superstrings that perform one function here   (of one orbifold) to the other correlative sets of superstrings that perform one function here (of the other directly affiliated orbifolds that are of the same universal setting).  This works to consider in this case, a relationship of Fadeev-Popov-Trace eigenstates, that are in multiple respective unique sets of orbifold-based settings -- that would here bear a tense of what would here spontaneously become a tense of superconformal invariance, after the gauge-metrical activity of a sequential series of group-related instantons, over time.  This just mentioned convergent tense of superconformal invariance will here involve a relatively static Lagrangian, that will involve a differential integration of the here mentioned tense of superconformal interdependance -- that will here work to determine the ensuing relative placements of the re-delineated superstrings of discrete energy permittivity (as well as working to help determine the ensuing relative placements of the re-delineated Fadeev-Popov-Trace eigenstates of discrete energy impedance).  Thus, as an ansantz, this will work to help determine the relative placements of both the correlative counterstrings and the correlative light-cone-gauge eigenstates, that are directly affiliated with the discrete energy of such a case.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part One of the 8th Session of Course 18

Discrete energy, during one Laplacian-based discrete iteration of BRST -- in the form of a superstring of discrete energy permittivity, that is both interconnected with its directly corresponding Fadeev-Popov-Trace eigenstate at its relatively reverse-holomorphic position and interconnected as well with its directly corresponding counterstring of discrete energy permittivity to its relatively forward-holomorphic position -- works to bind with other superstrings of discrete energy permittivity, that are, as well, interconnected with their respective directly corresponding Fadeev-Popov-Trace eigenstates at their relatively reverse-holomorphic position, and, iterconnected as well with their respective directly corresponding counterstring of discrete energy permittivity at their relatively forward-holomorphic postion, -- over the course of any respective given arbitrary iteration of BRST.  This happens in so as to form the general condition of the flow of the homotopic indices, that work in so as to allow for those covariant topological settings -- that inter-relate in so as to allow for both the very existence and kinematic activity of energy itself.  The basic unit of the physical holonomic substrate of discrete energy permittivity are those superstrings that work to directly bear an interconnection between one respective given arbitrary Fadeev-Popov-Trace eigenstate and the so-stated string -- via a first-ordered light-cone-gauge eigenstate.  The basic unit of the physical holonomic substrate of energy impedance are the Fadeev-Popov-Trace eigenstates.  The so-stated superstrings act as the basis of the pointal nature of discrete energy permittivity.  The counterstrings of the so-stated superstrings act as the physical holonomic substrate of the wave-based nature of discrete energy permittivity. The so-stated Fadeev-PopovTrace eigenstates tend to act as the relative basis of the pointal nature of discrete energy impedance.  The first-ordered light-cone-gauge eigenstates, that work to interconnect one respective Fadeev-Popov-Trace eigenstate with their directly corresponding superstrings, work to tend to act as the basis of the wave-based nature of discrete energy impedance.  What I term of as the Planck-related phenomena, are also what I term of as the Fadeev-Popov-Trace eigenstates.  A Planck-related phenomenon is comprised of a Chi-based-shape, that has a tense of a figure-eight-shape inscribed into its general format of topological contour.  What I mean of as a Chi--based-shape, is two "X-like" crossings of the following general genus of construction:  Initially, here, one tense of a tangential curve that is pulled through a non-time-bearing Lagrangian -- that is subtended at a general angling of 45 degrees -- that changes in concavity at the conicenter of its non-time-oriented Lagrangian -- in so as to be propagated further, as a mappable-based tracing of its general construction, at a reversal of the initially so-stated concavity-based tense of a tangential curvanture.  This mappable-tracing of a tangential topological-based curvature, that is altered in concavity at the center of its correlative coniaxion, as I have implied earlier, is crossed by another of such a mappable-based tracings -- in so as to form a general constructional genus that is similar to that of a cursive-shaped letter "X."  Also, in a non-time-wise-based manner, there is a figure-eight topological-based tense that is inscribed in the so-stated Chi-based shape -- in so as to form the overall topological format of the general manner in so as to how a Fadeev-Popov-Trace eigenstate is put together.
I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

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 Two of the Sixth Session of Course 16

Fadeev-Popov-Trace eigenstates are individually connected to superstrings of discrete energy permittivity.  Couterstrings are individually connected, in the relatively reverse-holomorphic direction, to superstrings of discrete energy permittivity.  A Fadeev-Popov-Trace eigenstate is individually connected holomorphically to one of the so-stated superstrings of discrete energy permittivity, while the said given arbitrary superstring is connected holomorphically to one individual substringular counterpart of discrete energy permittivity.  Fadeev-Popov-Trace eigenstates are connected to superstrings homotopically via a topological mechanism that is known of as the light-cone-gauge.  Any given arbitrary one-dimensional superstring of discrete energy permttivity bears five second-ordered light-cone-gauge eigenstates that work to form what may be termed of as one first-ordered light-cone-gauge eigenstate of a fermionic genus.  Any given arbitrary two-dimensional superstring of discrete energy permittivity bears ten second-ordered light-cone-gauge eigenstates that work to form what may be termed of as one first-ordered light-cone-gauge eigenstate of a bosonic genus.  Any given arbitrary Fadeev-Popov-Trace eigenstate that is not tachyonic moves either radially one Planck-Radii and/or one Planck-Length per iteration of group instanton -- as is according to Noether Flow.  Likewise, any given arbitrary superstring of discrete energy permittivity that is not tachyonic moves either radially one Planck-Radii and/or one Planck-Length per iteration of group instanton -- as is according to Noether Flow.  Also, any given arbitrary counterpart of a superstring of discrete energy permittivity that is not tachyonic moves either radially one Planck-Radii and/or one Planck-Length per iteration of group instanton -- as is according to Noether Flow.  The motion of Fadeev-Popov-Trace eigenstates -- as these said states move kinematically over a sequential series of instantons -- tends to bear a trivially isometric chirality with the motion of superstrings of discrete energy permittivity -- as these said states move kinematically over a sequential series of instantons.  Likewise, the motion of superstrings -- as these said discrete units of energy permittivity move kinematically over a sequential series of instantons -- tends to bear a trivially isomorphic chirality with the motion of their directly corresponding substringular counterparts.  So, if any given arbitrary superstring moves via its progressive iteration, in what may be here thought of as an arbitrary holomorphic direction in a given arbitrary directoralized Lagrangian, then, both the directly corresponding Fadeev-Popov-Trace eigenstate and the directly corresponding substringular counterpart will move in the same genus of the eluded to arbitrary holomorphic direction -- in the so-stated given arbitrary directoralized Lagrangian.  What I have just stated does not include what I have discussed before as both the relativistic wobbling tendencies that Fadeev-Popov-Trace eigenstates bear, the relativistic wobbling tendencies that superstrings bear, and, the relativistic wobbling tendencies that the counterstrings of the said superstrings bear -- per iteration of group instanton in which the substringular works to form that sequential series of kinematic motion that works to form the energy that makes up the universe.  Next -- as to why superstrings of mass can not go at the speeds of light, when such superstrings bear a Kaluza-Klein light-cone-gauge topology ( an abelian topology).  I will continue with the suspense later!
Sincerely, Samuel David Roach.

Some Added Stuff To Say About Ghost Anomalies

Just as the Gliossi-Sherk-Olive ghosts are being formed as the physical memory of the trajectory of superstrings of discrete energy permittivity, the physical memory of the directly corresponding counterstrings, light-cone-gauge eigenstates, and the directly corresponding Planck-like phenomena are being formed by the Gliossi interaction of these said additive phenomena with the relatively forward-holomorphic-based norm-states that come into contact with the projection of the said formats of phenomena -- that are directly related to the initially mentioned discrete units of energy permittivity.  The counterstrings act as a direct differential supplement to the directly corresponding discrete units of energy permittivity.  The light-cone-gauge eigenstates that directly co-relate to superstrings work to spring the said superstrings into the continual activity of Ultimon Flow (aside from other functions of the light-cone-gague), and, the Fadeev-Popov-Trace eigenstates (Planck-like phenomena that work to form the Fadeev-Popov-Ghosts as their physical memories) act as discrete units of energy impedance.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

Part Two of the fourth Session of Course 14

Outside of both the regions of the Royal Arc and the regions of the World-Tubes, the substringular encoders cycle the Ultimon in-between the durations of each iteration of group instanton. The just mentioned substringular encoders each have encoder-based counterstrings that exist at the relative forward-holomorphic positioning, relative to their corresponding substringular encoders.  The eluded to substringular encoder counterstrings cycle the Ultimon in-between the durations of each iteration of group instanton.  All of the generally unnoticed cycling of the Ultimon happens in-between each iteration of the said group instanton.  Phenomena that ends up being recycled, that is not of the genus-based format of being as a substringular encoder -- either from a ground-state to a norm-state, or, from a norm-state to a ground-state -- in terms of the multiplicit alterations in the orphoganal-based conditions of the directly related pointal-based differential geometries, happens to be in the process of such an eluded to recycling from one of the general norm-based formats to the other in the Royal Arc, at some time or another in the process of such a perturbation.  Phenomena that is in the Royal Arc flows through the Ultimon, over time, in a discrete tense of holomorphicity -- unless the direction of the directly related tense of time-based flow is perturbated into the relative-wise opposite direction.  Such a flow happens via the behavior of the directly associated light-cone-gauge eigenstates, that indirectly works toward the process of such a recycling-based activity as happening in an indistinguishable tense of alteration.  For instance, after relatively 10^43 iterations of group instanton, the first-ordered point particles that work to comprise a given arbitrary superstring are indistinguishably replaced by what were initially globally-norm-states, and, vice versa.  Somewhere in-between this unobserveable alteration, both the ground and the norm-states that I just eluded to are, at one time or another, in the Royal Arc in the middle of such an alteration.  From the vantage point of one extrapolating the situation, though, the directly related ground and norm-states would appear as continually being of the same matching of genus format.  The directly prior condition is due to the activity of the flow of substringular field, or, the flow of mini-string, that bears both a wave-tug and a wave-pull that is continually re-delineating the distribution of the holonomic substrate of the corresponding topology.  So, as the light-cone-gauge springs the substringular out of the multiplicit conditions of BRST, this activity works to pull and tug topological substrate relatively outward, towars the regions of the Royal Arc eigenloci.  Such a pulling and tugging activity brings the said topological substrate into those delineatory loci at which these may be resewn in such a manner in so that the directly related norm-conditions of pointal-based differential geometries may be recycled into their correlary of intricacy.  Such recycling is needed so that jointal conditions at their related multiplicit Poincaire-based delineations may convert into smooth-curved conditions at their related multiplicit Poincaire-based delineations, and vice-versa.

Part Four of the Third Session of Course 14

From where I had left off last time, the differential series' that I had been just discussing are commutated after the course (no pun intended) of many iterations of instanton.  The said differential series' of such inter-related superstrings involve superstrings of discrete energy permittivity that are indistinguishably different from one another.  Such a genus of differential series' also involves substringular units that tend to be more kinematic than those of a steady state, and/or, such a genus of differential series' may sometimes involve alterior substringular units that are indistinguishably different. Sometimes, via the activity of a given arbitrary tense of kinematic differentiation over time, the directly related angles that I have been discussing in the last four sessions -- that the so mentioned isomorphic superstrings bear over a relatively brief period of time -- go into a state of perturbation, or alteration, that act in conjunction with the angling of both the corresponding Planck-related phenomena and their directly correlative-based counterstrings.  Yet, when a tense of isomorphism is maintained -- on account of what may here be the formation of a tense of static equilibrium in the directly related substringular region -- the angling between the multiplicit orbifolds that are again of the same universe, when in terms of the covariant wobbling of their directly associated Fadeev-Popov-Trace eigenstates that are both adjacent and are of two different orbifolds that are of the same universe, will form an angling between these that is of an identical degree.  That is, 1.104735878*10^(-81)I degrees.  So, the format of the chirality of the relative tense of norm, or, orphoganal, that exists between the corresponding Fadeev-Popov-Trace eigenstates, will alter in genus per the ensuing exterialization of adjacency that would here be among substringular units of energy that are of the same universe, yet, the angle of the wobbling that is covariant between such Fadeev-Popov-Trace eigenstates that are of the same given arbitrary universe will always be 1.104735878*10^(-81)I degrees -- as long as the corresponding discrete units of energy remain of the same universe.  To Be Continued!  Sam Roach.

Part Two of the Fourteenth Session of Course 13

The light-cone-gauge eigenstates that work to interconnect Planck-like phenomena to superstrings that here directly appertain to the discrete energy permittivity, that exists due to the phenomenology of both one-dimensional superstrings and two-dimensional superstrings -- always are tied in such a general format of manner in so that all substringular phenomena flows through the Ultimon in a relatively flush manner over the course of both the generally noticed and the generally unnoticed portions of Ultimon Flow.  The general type of normalization that the Planck-like phenomena work to allow toward each other works to directly influence the prior eluded to positioning and angling of tying that the stated light-cone-gauge eigenstates exhibit in-between the said Planck related phenomena and their directly corresponding superstrings of discrete energy permittivity.  Planck related phenomena work to form discrete energy impedance.  The angling that exists in-between the wave nodes of one-dimensional superstrings and their counterstrings that are of the same respective genus of nodation -- when based upon the format of fermionic superstrings of discrete energy permittivity that are of a swivel-based shape -- is of one general genus of Grassman constant format.  The angling that exists in-between the wave nodes of two-dimensional superstrings and their counterstrings that are of the same respective genus of nodation -- when based upon the format of bosonic superstrings of discrete energy permittivity that are of a swivel-based shape -- is of another general genus of Grassman constant format.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

The Fourteenth Session of Course 13 On Stringular Transformations, Part one

One and two-dimensional superstrings may both have a swivel shape at various different times.  For a one-dimensional superstring, such a swivel shape is like the basic vibrating strand of an open string, except that the said string curves in a sinusoidal manner into a general format of a general condition of a curved standing wave at the respective iterations of instanton -- in which such superstrings are topologically delineated under the general condition of being shaped in a swivel-like manner.  For a two-dimensional superstring of discrete energy permittivity, such a swivel-based shape of a vibrating hoop of phenomenon is like the basic round shape of a closed string, except that the given arbitrary string here curves in a sinusoidal timeless-based mapping of topology into a general format of a curved standing wave at the respective iterations of instanton in which such superstrings are topologically delineated under the general condition of being shaped in a swivel-like manner.  The counterstrings of a one-dimensional superstring that are swivel-shaped are also curved in a sinusoidal-based manner, except that the said sinusoidal-based curvature of the said counterstring of the mentioned one-dimensional superstring that is swivel-shaped are 90 degrees out of phase with the sinusoidal-based curved standing waves of the said one-dimensional strings that are topologically delineated under the general condition of being shaped in a swivel-like manner.

Part Three Of The Twelvth Session of Course 13

The Grassman Constant for such a superstring/counterstring inter-relation is in part the multiplicitly-based  angle of difference that exists in-between the partitions of the given one or two-dimensional superstring, respectively, and the directly associated one or two-dimensional counterstring.  So, at the norm-to-forward-holomorphic Laplacian-based  maximum of a given arbitrary two-dimensional superstring, the directly related counterstring has a partition that angles here toward the directly associated Planck-like phenomenon that here works to form the discrete energy impedance of the corresponding said discrete unit of energy.  And at the directly corresponding norm-to-reverse-holomorphic end of the just mentioned given arbitrary superstring during the same during iteration of BRST that appertains to the same "Instant Under Consideration," the counterstring that is here directly related to the corresponding two-dimensional superstring that is here being evaluated, has a partition angling inward and yet away from the holonomic substrate that works to comprise the said directly related two-dimensional counterstring.  Of the latter mentioned locus of the said format of partition-based topological substrate, (that here works to define the physical behavior of discrete energy that corresponds to a two-dimensional superstring and its directly corresponding two-dimensional counterstring), the point particles of such are displaced relatively transversally by one point particle in diameter -- while yet being also displaced just to the Njenhuis side of the given arbitrary topological mapping of the Laplacian-based trajectory of the ensuing first-ordered point particles, in such a manner that goes outward for the said topological mapping of the said two-dimensional superstring when going from the norm-to-forward-holomorphic static-based positioning of the said string while yet simultaneously (through a central conipoint) going relatively inward for the directly related two-dimensional counterstring from the same norm-to-forward-holomorphic static-based positioning of the said related two-dimensional counterstring.  The topological substrate that works to form the field that inter-binds a two-dimensional superstring with its counterpart is fed into its locus, in part, from mini-string segments that are initially fed into the directly related Fadeev-Popov-Trace that works to form the discrete energy impedance that directly corresponds to the discrete energy permittivity that the said superstrings work to comprise.

Part Two To the Twelth Session of Course 13

Partitions of one-dimensional superstrings of discrete energy permittivity go from just to the Njenhuis right of the general topological mapping of the said format of string to just to the Njenhuis left of the same general topological mapping of the same format of string -- from  the reverse-norm-to-holomorphic end of the said superstring to the forward-norm-to-holomorphic end of the same said superstring..  For two-dimensional superstrings of discrete energy permittivity, the said partitions go from being off of the general topological mapping by being both just to the forward-holomorphic direction and also just to the Njenhuis right of the directly related topological mapping at the same metrical duration To being off of the general mapping by being both just to the reverse-holomorphic direction and also just to the Njenhuis left of the directly related topological mapping at the same metrical duration -- from the forward-norm-to-holomorphic end of the superstring counterclockwise to up to all around the general topological mapping of the said string.  The format of point particles that work to comprise the topology of superstrings most directly are first-ordered point particles -- as I have described in prior posts.  The fabric that works to comprise first-ordered point particles is a holonomic substrate that is comprised of a "yarning" of substringular field -- a yarning of what I term of as mini-string segments.  Such mini-string is a composite of second-ordered point particles that are beaded together in so as to have a cross-sectional thickness of 10^(-129) of one meter thick in the substringular.  Again, the diameter of a first-ordered point particle in the substringular is 10^(-86) in the substringular.  So, even though most phenomena tends to be radially dependent, point particles are dependent more on a basis of their diameter.  The counterstrings of superstrings -- that are here of discrete energy permittivity --  have partitions that are reverse delineated when relative to their directly related superstrings.  The partitions of one-dimensional counterstrings  that are of discrete energy permittivity go from just to the Njenhuis left to just to the Njenhuis right of the topological stratum of the said counterstring -- from the reverse-norm-to-holomorphic end to the forward-norm-to-holomorphic end of the said one-dimensional superstring of discrete energy permittivity.  For the partitions of two-dimensional counterstrings that are of discrete energy permittivity, the format of the directly related partitions goes from both just to the Njenhuis left and to just to the reverse-norm-to-holomorphic side of the general mapping of the topology of the corresponding string to being both just to the Njenhuis right and just to the norm-to-forward-holomorphic side of the general mapping of the topology of the corresponding superstring.  Again, just as with the superstrings that are directly related to the just mentioned counterstrings, the partitions may often be delineated from the norm-to-forward-holomorphic end of the said counterstring all of the way around its topological stratum in the counterclockwise direction of assorted Laplacian-based distribution(s).  I will continue with the third part of this session later!  To Be Continued!  Sincerely, Sam Roach.

Substringular Pressurized Vacuum

During the metric in which the space-hole happens -- which is during the metric in which the Bases of Light is going on -- mini-string that exists in-between superstrings and their counterstrings begins to unfray, due to the fractal stress that happens between the mini-Popov-traces that majorize in the eluded to Bases of Light and the setting of the superstrings that exist near their counterparts, in the manner that this happens right before the instanton-quaternionic-field-impulse-mode.  Just as such unfraying begins to happen, the surrounding stress -- that may be accounted for by a residual fractal of pressurized vacuum applying its wave-tug/wave-pull -- works upon the said superstringular-like phenomena and their corresponding counterstrings.  This stress -- that is due to the ultimate fractal of pressurized vacuum that is applied to the here present "attempt" of unfraying -- works to snap superstrings back into an array with their corresponding counterstrings, in so that substringular phenomena will not actually be frayed. Right after the directly prior condition, the instanton-quaternionic-field-impulse-mode works to re-relate the mini-Popov-traces with their corresponding superstrings and counterstrings -- which also works to encode where and how the just mentioned substringular phenomena is to be redelineated at and how over the course of the next iteration of group instanton.  To be continued!  Sincerely, Sam Roach.

Session 12 of Course 13, Part one

There are differences between a superstring and a counterstring.  Here, we will compare the differences between a superstring of discrete energy -- that exists in one set of world-tubes -- and its counterstring.  A one-dimensional superstring is ideally a basically straight strand of first-ordered point particles, with the exception from straightness being one or more partitions that exist interior to the ends of the said superstring's opposite Neumman bounds.  The said one or more partitions are first-ordered point particles that may be mapped over to the side of the general line of the given arbitrary stream of point particles by a static-based distance of the diameter of one first-ordered point particle.  Such point particles that I am referring to have the diameter of 10^(-86) meters in the substringular -- even though these may be extrapolated as having a diameter of 3*10^(-78) meters in the globally distinguishable, due to certain effects that happens to these particles during the Polyakov Action.  A one-dimensional superstring that is relatively ideal has a counterstring that has one or more partitions on the relatively opposite side of the string when relative to the given superstring.  The Grassman Constant of such a superstring/counterstring inter-relation is here the angle of difference that exists between the partitions of the said given one-dimensional superstring and the corresponding partitions of the one-dimensional counterstring.  A two-dimensional superstring is ideally a basic hoop of first-ordered point particles, with the exception from "perfect" roundness being partitions that work to allow for discrete permittivity -- just as with one-d superstrings.  Part two later!

Part Two Of Session 1 of Course 11 -- Orbifolds

An individual indsitinguashibally replaced orbifold may exist -- at one time or another -- in up to all 96 spatial dimensions plus time over a group-orientated metric that may involve a relatively inticate Fourier Transformtion.  This spin works to jerk (change the excelleration of) an arbitrarily given Planck-Related phenomenon during a given additive group metric of Ultimon Flow  Since 3*3 = 9 (There are three sets of parallel universes), and 10 spatial dimensions is one more than 9 spatial dimensions --  the Planck-Related phenomenon that is here being discussed must exist in a minimum of ten spatial dimensions plus time when at the locus of the mapping right at the Laplacian delineation of where the said Planck-Related phenomenon is at during BRST.  This is although the reverse-fracal of a photon, which is the basis of discrete energy permittivity, exists in a minium of ten spatial dimensions plus time over a minimum Fourier Transformation.  This is because as superstrings are basically at a standstill during an iteration of instanton, the corresponding Planck-Related phenomena dance at their general locus during the just mentioned duration.  The four ends of a Planck-Related phenomenon exist in four different covariant-based codifferentiably relative spots via its fractal of magnetic field, when in terms of its spin-orbital momentum, when during the correlatvie instantons in which the related said phenomenon is moving as a group along with the other discrete energy that exists here in an orbifold.  This prior activity works to allow for the Imaginary Residue of the mentioned Planck-phenomena to exchage with Fock Space in such a manner so that the directly associated Real Residue of the corresponding superstrings will have the "raw materials" for the said directly associated recycling of the condensed oscillation of mini-string.  (Topological delineation is recycled via the reassortment of the relative distribution of the mini-string that works to comprise discrete energy, substringular fields, norm-states, and other topological phenomena, on account of the need for the mutual reassortment of homotopic residue.  The loci-bases of the directly prior mentioned conditions bears at least some abelian-based wave-tug upon the prior mentioned Imaginary Exchange of the related superstrings and their counterparts, as the corresponding Planck-Related phenomena "dance" in a manner that works to settle the activity of the directly associated Ultimon Flow eigenmetrics that are about to bear holonomic phenomena propagated within the kinematics of their durations.  Such an exchange is named "Imaginary" in part because the exchange is just the end result of many exchanges that multiplicitly happen simultaneously through the relativity of a conipoint of a Global-Based coniaxial that may be mapped within the Ward-Caucy bounds of a given Laplacian -- and, the exchange that here exists is delineated back-and-forth off of the Real Reimmanian Plane.  (As opposed to on the relative Real Reimmanian plane.)
I will continue with the suspense later!
Sincerely,
Samuel David Roach.

Session 18 Of Course 10

How do Planck Phenomena-Related-Phenomena propagate?  The strings are in iteration.  Imaginary exchange as described by an odd function happens as real residue is given off and recieved.  This means that the relative bottoms of superstring' will have here exhanged with the tops of stringular counterparts, (The corresponding superstrings and their counterparts are now decompactified by a factor of two as an arbitrary given example.), raising the substringular counterparts in such a manner that these said counterparts are here to move "down" closer to the actual superstrings.  The slack that thence happens causes the "bottom", or norm-to-reverse-holomorphic end, of the corresponding substringular counterparts to exchange with the norm-to-foward-holomorphic end of the associated superstrings.  (This involves a reciprocal Imaginary Exchange.)  This activity that I just described works to lift the superstrings while yet moving these said phenomena "down" closer to the corresponding Planck-Related-Phenomena.  The related said Planck-Related-Phenomena tends to stay relatively stationary as compared to their corresponding superstrings and their corresponding counterstrings, in the meanwhile.  The directly prior mentioned activity works to add wave-tug to the related light-cone-gauge eigenstates like a spring, causing the ensuing Ultimon Flow to be fascilitated.  The said spring-like activity here "flaps" the angular momentum related indices that are most directly associated with the local Phenomena that are eigen with the corresponding respective superstrings and counterstrings in an anharmonic/harmonic cycle that "flaps" just enough to allow for the fascilitation of Ultimon Flow in a manner that one could alagorically compare to the acitivity of a paint stirrer when it is released after it has been torqued without breaking.  Such a spring-like motion that is the result of a fractal of a non-resonant torquing works to twitch the phenomena of the directly corresponding locus.  The twists in the light-cone-gauge eigenstates here work to determine whether or not the related superstrings are to immediately afterward travel at any given arbitrary velocity or not.  A full twist in the fabric of the said directly affiliated light-cone-gauge eigenstates that are respectively to be considered here work to allow for potential basically "infinite" speed-like re-delineation, while any alterior twist quotient that is here-wise determinable that may exist in-between the general locus where the said respective superstrings intermingle with both their corresponding counterstrings as well as their corresponding Planck-Related-Phenomena would thence bear holonomic interaction in either a virtually Gliossi manner or in an actually Gliossi manner.  The said intermingling would exist in such a manner to where the said affiliated phenomena that here are either virtually cohomologically bound or cohomologically bound in the said locus of the individually-based fabric of the corresponding general entity that I am mentioning will tend to have at least a little bit of a significant effect upon the related second-ordered-light-cone-gauge eigenstates -- the integration of the any directly affiliated second-ordered-light-cone-gauge eigenstates are what form the holonomic entity of a respective first-ordered-light-cone-gauge eigenstate.  Two-dimensional superstrings may often influence one-dimensional superstrings in such a manner so that the respective light-cone-gauge eigenstates of both the said bosonic and the said fermionic superstrings -- when taken as individually pinpointed interactions -- work to help twist or torque each other's fabric to the proscribed extent that these are to exist in in the manner that involves the least resistance.  The metrical conditions and the related Ward-Caucy boundary conditions that would here be associated with the directly prior mentioned acitivity may be determinable over a sequential series of instantons via an extrapolataion of the related codifferentiation of the corresponding arbitrary given superstrings as well as an extrapolation of the dimensional limits of the said related superstrings in any arbitrary given case that would thence be involved.  Sincerly, Samuel David Roach.  

I Would Like To Know What You Want To Learn

Hey there world!  This is Samuel Roach here.  I am writing a post today that aims at finding out what you -- the reader -- wants to learn from my blog that I perhaps am not being clear enough at describing.

Would you like to know more about norm-states?
Would you like to know more about superstrings?
Would you like to know more about counterstrings?
Would you like to know more about gauge-bosons, heterotic strings of different natures, gauge-metrics, metric-gauges, what I describe as the Bases or Basis of Light, what I describe as the Main Heterotic String Fabric, what I mean by some of my analogies, the Higgs Action, the Klein Bottle, etc... .

So, what you may do in the near future is to think about what you would like me to explain better by asking me good questions, and afterwards, type these questions down to me so that I may be able to adequately answer the questions that you may ask.

If you have any disagreements with some of the general ideas that I describe in my posts, please feel free to try to form a dialogue with me.  You see, although I can see basically what I am writing about, once in a great while I might make a little mistake here or there.  Communication among many people who are seeking to see a common accurate view always involves at least a certain amount of dialogue.  Dialogue, to me, means -- I can make mistakes, you can make mistakes, I do many things without conceptual errors, and yet, you too do many things without conceptual errors.  Perhaps, if we put our heads together metaphorically, we will be able to synergetically do a lot more with more accuracy than what we would only be able to do on our own.
Yet, my concept of string theory on the whole as a general picture I know is right because I can see what I am "talking" about.  So, if one were to disagree with me on something that I know is true, I will try to see the other person's point, yet, I would feel obligated to explain to the described other reader why certain things have to be the way that they are.  Sometimes, I'm guessing that, although the concept is basically there pretty good (perfection is a falacy), I may describe certain things with the wrong term or with incorrect spelling (the latter I am certain is more often the case).  So don't be afraid of helping me to word my ideas in a manner that is more appropriate if and when this is the given situation.

I am here to help others.  That is my main goal in this blog.  That is my main goal in life. If we all pitched in more that we pitched out, this world would be a much better place.  That is why I only want comments and questions that show a yearning to improve the knowledge of string theory in one significant and important way or another.
To the people who want to advance the knowledge of mankind, I am very gratefull.  
Sincerely, Samuel David Roach.