Inter-Binding(s) Between Linked Cohomology-Related World-Sheets

 When the inter-binding(s) between linked cohomology-related world-sheets is (are) hermitian, the inferred net flow of curvature, of which is here to interdependently exist from amongst the proximal local presence of such world-sheets, is thence to often tend to work to bear a relatively smooth homotopy. SAMUEL ROACH. 

A Perspective Of Mine -- As To Ancient Sumerian Writings

 When I observe some of the tablets that were inscribed with the "writings" of the ancient Sumerians, it appears to me, that a large amount of the language-related "symbols" that are "written" upon such a correlative set of tablets, appear to be shaped in such a manner, to where these seem to me, to have the appearance, of looking like a symbolic depiction of "conical world-sheets." This strikes me very curiously; because, at least to my particular model of string theory, Noether-Based superstrings of discrete kinetic energy permittivity, just about always tend to bear world-sheets, that are shaped in such a general type of a manner, to where if such said world-sheets were here to be considered over a Laplacian Transformation, (as in a timeless "snapshot" of such said world-sheets), that such said world-sheets are to thence to appear, as conical-like shapes. This is also particularly curious; because it often tends to occur, that it is actually over the durational course, in which superstrings of discrete kinetic energy permittivity are to undergo the Fujikawa Coupling via the Green Function, that the residual surplus energy of electrons, that is here to be released when it is to drop back-and-forth an energy level, that is what often tends to work to form the phenomenology of light. (Although I fully realize that the isoelliptiabelianoid (which is what I call the initial genus, of what we now know of today, as being the Higgs Boson), is the type of phenomenology, that had worked to create the basis of forming the initial superstrings of the multiverse.) So it makes me wonder, is it possible, that the initial superstring-related phenomenology, -- of which actually worked to create the multiplicity of electromagnetic energy, -- was actually discrete kinetic energy; and that such inferred superstrings of discrete kinetic energy permittivity, is thereby what worked, in effect, to then resultantly work to form the initial "light" of the multiverse?! Let me know what you think. SAMUEL.

Toroidal-Shaped Cohomology-Related World-Sheets -- Gliosis-Sherk-Olive Ghosts

 Mass-Bearing superstrings of discrete energy permittivity, tend to work to form toroidal-shaped cohomology-related world-sheets. World-Sheets are the projection of the trajectory of discrete energy phenomenology (superstrings). Cohomology may be perceived of, as being of the eminent topological substrate, of the core-field-density of discrete energy quanta. What I worked to describe of, during some earlier times in my blog, as being "ghosts," -- were actually what I meant to describe of, as being "cohomology-related eigenstates." I referred to such said "eigenstates," as being of a ghost-like nature, since the actual specific phenomenology that I was here to be referring to, is of a constantly indistinguishably different nature. (To where, although these "appear" to be consistently spontaneous latched upon eigenstates, that are stable in super conformal invariance at a covariant locus, in time and space, the specific phenomenology that is here to be latching, at the inferred covariant respective loci, are to constantly be of different actual "stuff.") Those ghost-like phenomenology, that are here to be directly appertaining, to the multiplicity of the toroidal-shaped topological manifolds, that are here to be directly associated with those  respective cohomology-related world-sheets, that are here to be formed by the resultant projected trajectory, of mass-bearing superstrings of discrete energy permittivity, may be described of here, as being of the general nature, of acting as, "Gliosis-Sherk-Olive" ghosts. (1989). SAMUEL DAVID ROACH.

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

Orbifolds work to form many of the basic cohomological settings. World-Sheets always form a type of cohomological setting which depends upon the given contour that the given arbitrary world-sheet propagates in, over time.  An orbifold has a topology as well -- this being the Gliossi-based contour of the core-field-density of the so-stated orbifolds, at the Poincaire level.  Orbifolds often exists as D-Branes.  D-Branes are manifolds of superstrings that work here to comprise electrons (mainly), in so as to act as operators, that work to perform a specific function in the substringular.  D-Branes are substringular manifolds that exist in a minimum of six spatial dimensions plus time, over any given arbitrary duration -- in which one is able to extrapolate any given arbitrary corresponding Fourier Transformation.  Such a manifold often exists as a Calabi-Yau manifold, since electrons bear mass, and, any mass that is struck by a photon acts -- over that group metric in which such a mass is struck at its core-field density in a Gliossi manner by a discrete unit of electromagnetic energy -- as a manifold, that would then be described of as a Calabi-Yau manifold.  Orbifolds, if these are basically of a Majorana-Weyl nature, bear at least one Njenhuis tensor -- in order to allow its magnetism to actually exist.  This is because substringular phenomena, that are of the general size of the nucleus or smaller, exist in a minimum of four spatial dimensions plus time, in any directly corresponding Fourier Transformation -- in which such phenomena exist in, and, when one includes the existence of more than three general formats of spatial dimensions plus time, then, one is dealing -- in one manner or another -- with at least some Njenhuis tensors, that are then here inter-mingling with the correlative Real Reimmanian tensors that would be pertainent here over any given arbitrary discrete time period that could be applicable here.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

The First Set of Test Questions For The Last Test Of Course 16

1)  What is a Doubolt cohomology?

2)  What is a Rham cohomology?

3)  Explain how ghost anomalies are annhilated.

4) What are the Donaldson-Ulenbach-Yau conditions?

5)  What is the Bette Action?

6)  What is the Polyakov Action?

7)  What is the Regge Slope?

8)  What makes superstrings oriented?

9)  What makes superstrings unoriented?

10) What is a Klein Bottle eigenstate?

11)  Describe the mobiaty of superstrings.

12)  Describe the mobiaty of world-sheets.

13)  What are Ward conditions?

Part Six of the Eleventh Session of Course Sixteen

The Ward-Neumman boundaries of a world-sheet is defined by two parallel Wilson Lines that are flush to each dimensional endpoint of delineation -- as to the furthest linearly-based mappable tracing that may be extrapolated in, in so as to mark each directoral basis as to the mapping of the region of where the directly corresponding ghost anomaly-based index may be tractable in one set locus, in so as to extrapolate the trajectory of the projection of any directly associated given arbitrary superstring -- that works to bear such a physical memory as to where and how the so-stated superstring had kinematically differentiated over time.  As ghost anomalies form a basis as to where and how the world-sheets of superstrings had moved over time, there is a parallelapiped-based integration of world-sheets that are formed in general space-time fabric that may be multiplicitly utilized -- as to what may be termed of as a Klein Bottle.  A Klein Bottle is composed of three sets of parallel Wilson Line-based world-sheet-like phenomena that work, in so as to bear a spatial operation that is kinematic and multispatially distributed and multispatially delineated in so as to work to allow for Kaeler-Metric eigenstates over time.  The structural context of the Klein Bottle is known of as a Schotky Construction.  The condition of World-Sheet-like phenomena that are parallel to one another is known of as the existence of orientafolds.  The orientafolds that work to form the Schotky Construction are flush, as is according to the concept of Wilson-Lines.  Wilson Lines are projections in the substringular that are literally flush, and thus do not bend as is according to the general curvature of space-time-fabric.  The condition that the Schotky Construction bears orientafolds that are flush -- as is according to Wilson Lines -- is part of as to why the Klein Bottle is able to both shake superstrings into reattaining the fractal quantum indices of their discrete energy permittivity, as well as to shake Fadeev-Popov-Trace eigenstates into reattaining the fractal quantum indices of their discrete energy impedance.  The static equilibrium of the indices that work to form the Schotky Construction is a given arbitrary condition of a conformal invariance of integrable orientafolds.  Any given Klein Bottle eigenstate may be utilized, in so as to perform multiple eigenmetrics of Kaeler-Metric eigenstates, as long as the directly applicable Schotky Construction is not frayed.
I will continue with the suspense later!  To Be Continued!  Samuel Roach.

Part Two of the Fourth Session of Course 16 -- About Cohomologies...

Certain world-Sheets may often directly involve low-energy quanta that work to define a stead-state phenomenon that exists in a tightly proximal region, or, certain world-sheets may often directly involve high-energy quanta that work to define a perturbative state -- that has both a radial and a transversal kinematic differentiation, that may be mapped-out through a given arbitrary format of tracing -- from a significant starting point to a significant ending point. Often, too, certain world-sheets may involve both low-energy quantum-based indices and high-energy quantum-based indices -- in the process of what would here involve a sequential series of group instantons -- in which the mappable tracing of the directly corresponding ghost-based loci will then have tracked upon the trajectory of a superstring that has gone from going into a conformally invariant Noether-based flow into a tachyonic-based flow.   Often, world-sheets track the motion of superstrings that are Noether, yet, are not relatively conformally invariant, relative to the steady-state conditions of a low-energy-based quanta.  Any of such combinations may occur for certain world-sheets that may work at tracking a superstring that is quite varied -- in terms of either a metrical-based and/or a Lagrangian-based perturbation.  Ghost anomalies of any given arbitrary region must be eventually dis-assembled in order for these to not accumulate to the extent that these just eluded to phenomena would bear if these were to otherwise block the necessary Hamiltonian operands in which other substringular phenomena must move through.  These just mentioned ghost anomalies will tend to accumulate, unless these so-stated phenomena are acted upon.  The convergence of relatively reverse-holomorphic norm-states upon the multiplicit regions in which ghost anomalies exist, is that sort of activity that works to allow this to be so.  One may word this as naming the so-stated ghost-based anomaly as a group attractor -- in this given case, and, then naming the just mentioned relatively reverse-holomoprhic flow of norm-state projections that work to dis-assemble the so-stated ghosts as ghost-inhibitors (since the dis-assembling of ghost anomalies works to inhibit the overcrowding that excessive ghost anomalies would otherwise cause).  It is the supplementation of two geni of norm-state projection-based divergences that works to form a physically plotted convergent sequential series of wave-tug/wave-pull that works to cause the eluded to Gliossi-based interaction of opposite formats of norm-state-based holomorphicity upon each other at the Poincaire level.  This is what works to allow for that anharmonic scattering of ghost anomalies that allows for part of the process of the recycling of norm-based conditions.  Ghost anomalies tend to build up when the main conditions of superstrings do not force these said physical memories of the so-stated superstrings to cancel their mappable region that these are imbued upon, via the directly related Gaussian geometry of both those Planck-like phenomena and those superstrings that are to flow in the general given arbitrary region in which the eluded to mappable tracings have been formated to being in.  I will let you ponder this little "nugget" for now.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

The Next Part of the 1st Session of Course 16

Often, world-sheets join in a smooth and connective manner that may be described of as a hermitian pattern -- of which the ghost anomalies that are formed as a physical memory of such world-sheets may be described of as having no Chern-Simmons singularities that may be extrapolated from simply the motion of such world-sheets that are projected in the eluded to manner that I have just described.  This process is an example of a Real cohomology that bears no Lagrangian-based spurs -- since the cohomology here not only changes in only as many derivates of curvature as the number of physical dimensions that it is kinematically differentiating in over time, yet, the cohomology that is thus formed by the eluded to motion of the here stated given arbitrary world-sheets is formed in inter-connective increments over a sequential series of iterations of group instanton (during the generally noticed durations of Ultimon Flow).  Yet, often, world-sheets form physical memories that are non-connective and non-smooth over a different given arbitrary substringular situation.  Such eluded to ghost anomalies that are here formed by the just mentioned tendency of mapped-out  trajectory do not have limits that are discrete from one point of consideration that traces-out the delineation as to where a particular superstring had been kinematically differentiating, towards a given arbitrary subsequent mapped-out tracing as to the physical memory of the here mentioned superstring that is here to be considered.  The lack of a discrete limit in the mapping-out of the trace of a superstring-based physical memory works to indicate a curvature in the eluded to mapping that changes in more derivatives of curvature than the number of physical dimensions that the said ghost anomaly had been formed as over a directly corresponding sequential series of iterations of group instanton.  This not only works to reveal that the physical memory of the correlative superstring and its directly corresponding world-sheet is non hermitian in terms of the projection of the indices of the physical memories that work to show both how, where, and when the given arbitray corroborating superstring had been kinematically differentiated over time, yet, such a non hermtian condition that is thereby Chern-Simmons to a particular genus also works to indicate that the directly corresponding superstring would thereby be revealed here as being non hermitian and thus Chern-Simmons to a particular genus that is congruent to the same chirality as the particular genus of singularity that would thereby be eluded to by the condition that could then be mapped-out by the delineatory path of the projection of the ghost anomalies that would here work to show a tendancy toward a corroborating of the transient history of the directly corresponding superstrings, that are here being considered in this given arbitrary case.  When such a Chern-Simmons effect that works to show a lack in hermicity in the Lagrangian-based continuation of a given arbitrary superstring over time bears a torsioning in the eluded to physical memory of a directly corresponding superstring that is delineated off of the relative respective Real Reimmanian plane, and/or if one is here considering ghost-anomaly-based residue that is formed during the generally unnoticed durations of group instanton, then, the ghost-based indices that work to show some sort of physical memory of a given said superstring, such as is here being discussed, may be described of as Imaginary or Njenhuis in terms of the differential geometry of the directly eluded to mappped-based tracing.

Course 16 About Cohomolgy, Topology, and Iterations -- Both the Spurious and the Yau-Exact Kinds, Session one, part 1

Cohomology is the inter-connectivity of world-sheets and world-sheet sectors in the Ultimon.  World-Sheets are a phenomena of iterations of group instanton that build up after a given metrical duration.  So, cohomologies are a phenomena of iterations that build up after a given set of group metrics.  World-Sheets are a phenomena that involve all superstrings that move, which would involve all superstrings that actually exist as holonomic physical substrates.  What I mean by the movement of superstrings is the displacement of a substring after individual stringular iterations of group instanton.  The trajectory of a substring after a set of motion of that said substring is a world-sheet.  World-Sheets may expand, and world-sheets may often, as well, join together in a Gliossi manner.  World-Sheets, as the trajetory of superstrings, form a physical memory as to the past motion and existence of corresponding superstrings -- in the form of ghost anomalies.  Ghost-Anomalies are the physical memory of superstrings, and, these memories work to interact and bind in so as to perform certain pseudo-Hamiltonian operations that bear respective given arbitrary kinematic functions. A cohomology always bears a Gliossi-based contact, yet, not all Gliossi-based contact is in the form of a cohomology.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

The Test Questions Of The Last Test Of Course 14 About Group Action

1)  How is the fractal of the electric field -- in the substringular -- associated with the differentiation of a superstrings?  What is amperage?

2)  How is the fractal of the magnetic field -- in the substringular -- associated with the differentiation of a superstring?  What is voltage?

3)  How do Planck phenomena flow as light?  Describe the wavelength of light in general.

4)  Describe the open-string relation of electrons.

5)  Describe the closed-string relation of protons and of neutrons.

6)  Describe Real Reimmanian-based cohomology.

7)  Describe Imaginary-based cohomology.

8)  Describe what happens when two-dimensional world-sheets meet three-dimensional world-sheets with even Ward-Neumman boundaries.

9)  Describe ghost anomalies that are relatively Njenhuis.

10)  Describe cohomology shifts.

11) Explain why both Njenhuis and Real Reimmanian-based cohomologies exist.

Some Stuff About Doubolt Cohomologies

When a superstring and/or a group of superstrings travel through a unitary Lagrangian, in such a manner in so  that there are more changes in the derivatives of its or their motions, respectively, than the number of dimensions that the set of superstring or superstrings are going through spatially, then, the cohomology of the world-sheet or sheets, as extrapolated by the eminent ghost anomalies that thence form, is said to bear what are said to be Chern-Simmons singularities.  If any of such superstrings, or group of superstrings, is to bear a hermitian path that is spurious -- the pulse of the eluded to orbifolds has anharmonic modes that are exhibited during the projection of its trajectory -- then, the said superstrings and/or set of superstrings is still said to bear Chern-Simmons singularities.  The cohomology of any ghost anomalies that bear Chern-Simmons singularities are said to have a Doubolt cohomology.  The extrapolation of a Doubolt cohomology is the sequential-based mapped-out trajectory of the physical memory of world-sheets -- that are the trajectory of superstrings -- that are appertaining to bearing Chern-Simmons singularities.

Part One of the Thirteenth Session of Couse 14

One-Dimensional superstrings of discrete energy permittivity differentiate kinematically over a sequential series of instantons, in so as to form two-dimensional world-sheets.  Two-Dimensional superstrings of discrete energy permittivity differentiate kinematically over a sequential series of instantons in so as to form three-dimensional world-sheets.  Two-Dimensional world-sheets form a traceable mapping that often works to take the hoop-like morphology that is of the non-time-oriented integration of indices that work to form the eluded to field at one distribution -- during one given arbitrary iteration of such a field during group instanton, while then taking the ghost anomaly that is formed by the directly related physical memory of the corresponding superstring, and integrating the eluded to multiplicit index of the tracing of the said given arbitrary superstring that is being discussed here through a Lagrangian -- into a cylindrical morphology, over time.  Two-Dimensional world-sheets often also form a traceable mapping that works to take the initial disc-like morphology of its initial non-time-orientable mapping, and integrates this mapping -- through a Lagrangian -- into shaft-like structures that twist in as static-based manner over time. Cylindrical-like world sheets of  two-dimensional world-sheets that directly correspond to one-dimensional superstrings, over a relatively transient period of time, twist over a sequential series of iterations when these bear a Doubolt-based format of traceable cohomological mapping.  World-Sheets that directly correspond to both one and two-dimensional superstrings often twist over a time-wise metric-based duration, in accordance with the directly related changes in directoralizations of the corresponding one and two-dimensional superstrings of discrete energy permittivity  This happens, in so that these may kinematically differentiate in their correlative world-tubes.  The three-dimensional world-sheets that exist are formed by two-dimensional superstrings.  I almost forgot to mention to you:  The world-sheet of a superstring involves not only the topological-based trajectory that is of the said superstring, yet, these also involve the direct field of the string that is Gliossi to the stringular neighborhood that is at the Poincaire level of any given said superstring.  These three-dimensional world-sheets tend to be torroidal in their basic shape.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

A Tad-Bit More About Ghosts

A two-dimensional superstrings is resting in this case to all relatively Laplacian-based "appearances" in a differentiably integrable region in which it has iterated may times over a relatively tightly-knit Fourier-Transform.  The corresponding positive-norm-states here work to form a ghost anomalic region at the locus of the eigenbasis of the toroidal Jacobi that here work to define the related field of the angular momentum of the said two-dimensional superstring.  A set of zero-norm-states, acting as a projection, after a certain number of instantons, works to open the related toroidal eigenbasis so as to open the corresponding elluded to region up as a cylindrical shaft that is relatively thick.  After the said zero-norm-state projection do their work, the corresponding negative-norm-states work to orphoganate the related positive-norm-conditions that were previously existant in the described locus so as to elliminate the ghost anomalic eigenindices that had been mapped prior to the occurance of the mentioned scattering of ghost anomalies.  This ellimination works to scatter the related point commutators that had integrated to form the mentioned ghost anomalic eigenlocus so as to allowl a path for the operation of the incoming world-sheets, as well as to allow for a path for the other substringular fields that are also incoming.  Mobius-based ghosts are elliminated in the same general fashion, yet, such ellimination here involves more overall norm-states, and, thus, such ellimination involves a more prolonged Fourier Transform.  (It takes a duration of more instantons to elliminate these.) Such ghosts are elliminated at the critical cusps of the fold of the corresponding Mobius-based ghosts.  Two-Dimensional stringular world-sheets have ghost anomalic residue that is elliminated at multiple spots by both zero-norm-states and positive-norm-states.  Zero-Norm-States work to open the associated ghost anomalic eigenbasis at four general loci per codifferentiable pulse in which such a general activity occurs.  The said positive-norm-states work to alter the Gaussian conditions of the said corresponding negative-norm-states in order to supplement the field that was previously operated on by the succession of the kinematic activity of the two-dimensional field that we are discussing in this case.  This said supplementation works to clear what had just been a ghost anomalic field by scattering the said two-dimensional field's eigenbasis.  This kinematic activity works to open the described general overall locus in order for such a locus to remain as an operand for further substringular Fourier codifferentiation.  Sincerely, Sam.

Part Two Of The 14th Session Of Course 10

To go back from where I left off, point commutators form Fock Space.  The propagation of ghost anomalies forming, as well as the condition of ghost anomalies becoming undone, helps to pull the associated superstrings through their world-sheets.  Yet, the related activity just mentioned causes the potential for tadpoles, these tadpoles of which are anharmonically-based metrical point commutator fields that strike the center-state of the corresponding superstrings at 45 degrees to both positive and negative-norm-states.  Yet, the condition that ghost anomalies always will happen is due to the large number and density of reverse-holomorphic norm-states,as well as the condition that ghost anomalies will always happen du to the large number and density of forward-holomorphic norm-states.  Such phenomena going through such associated activity works to create a balance that works to prevent damage to space-time-fabric on account of the fact that freeing up room in the substringular allows for the ample distribution and motion of superstring-related phenomena so that activity and thus energy may exist.  Tadpoles need to be utilized quite often over billions of years to have much effect.  The longer that a tori-sector-region (a layer of reality of one parallel universe) has been acitivated, the more that there is a potential that there is for tadpoles to have a significant effect.  A balance among both the frequency and the scattering away of ghost anomalies is a condition that works to determine both the creation of and the attribution that is here due to the existence and the time-related activity of tadpoles. 

The Third Session Of Course Ten

Stringular fields of one-dimensional superstrings are disc-like, and stringular fields of two-dimensional fields are spherical-like.  The light-cone-gauge eigenstates intaeract with substringular fields -- and are joined together with these.  Superstrings tend to be centered in their substringular fields.  World-Sheets are enacted upon by these fields by acting conformally invariant with the Ward-Caucy boundaries and the other related Ward conditions of the radial and transversal differentiation of the fileds of one and two-dimensional substringular fields.  The corresponding ghost anomalies that form during the Fourier-metric differentiation of the said substringular fields form as core stringular ghost fields that are surrounded by core stringular ghost anomailies.  The ghost anhilators that form disperse the ghost anomalies by normalizing the point commutator fields that are distributed by the related ghost anomalies.  The said ghost anomalies that are thus formed are due to the differentiation of the said corresponding world-sheets upon the positive-norm-states that surround the related superstrings, as well as the related stringular fields.  The ghost annhilators are the negative-norm-states that happen to move in the reverse-holomorphic directoralization of the respective positive-norm-states.  Positivt-Norm-States are comprised of the point commutator orientation that I have discussed before, and, these here are near the respective superstrings and their respective substringular fileds that are in the general direction -- as may be derived based on the norm-conditions that correspond between these both during the same general metric.  The negative-norm-states are comprised of the same general type of phenomenology as positive-norm-states, except, these move in the reverse holomorphicity (reminder).  The zero-norm-states are the loose point commutators that work to open two-dimensional superstrings at certain times, while these at other times work to close one-dimensional superstrings.  Every point commutator is a first-ordered-point-particle that is not in either a superstring, a counterstring, or a Fadeev-Popov-Related-Type-Ghost when considered during BRST in their respective world-tubes.

A Little Bit About Substringular Freedom Of Motion

Tadpoles happen when three-dimensional fields of two-dimensional superstrings are made entropically spurious after countless iterations.  Such spuriousness is increased when two-dimensional strings have iterated  through a common general path via a tense of conformal invariance too many times with no condition of being used to vanquish the chaotic energy-like condition of the resulting entropy.  This is because the space-hole works to realign the path operand of the individual world-sheets of both one and two-dimensional superstrings.  This happens in such a manner to where an increase in the entropy due to such an attempted realignment of what was just mentioned -- when various substringular systems are relatively isolated -- perturbates from the prior condition to where  these said systems may be changed in terms of the light-cone-gauge of the resulting entropy and/or in terms of the Chern-Simmons condition of the same set of arbitrary superstrings that comprise the prior mentioned entropy.  World-Sheets of substringular phenomena may be spatially effected in terms of large groups of these mapped superstringular trajectories being at least partially controlled by thought energy.  This may happen in so that the paths of the related one and two-dimensional superstrings that have enough of an interconnection with other one and two-dimensional superstringular paths may allow life to differentiate with more freedom in such a manner so that space-time substance may adapt in order to allow the said space-time substance to be able to homotopically persist.   

Part Two of the Fourteenth Session of Course Six

Well hello again world, this is Sam Roach here!  Here is the next part of Session 14.
           
One of the reasons for the torroidal shape of the field of such a two-dimensional superstring is because two-dimensional strings bear one and two-dimensional discrepencies along with a three-dimensional basis of field delineation over the course of each individual substringular Laplacian taken individually.  The extrapolated fields of one-dimensional superstrings bear two annuli given the condition that such fields are detected as a thin figure-eight-shape, yet such fields that are directly associated with one-dimensional strings are thinner during each individual Laplacian than those that are related to two-dimensional strings.  This is because, both one and two-dimensional superstrings exist in world-tubes that bear 32 spacial dimensions that have a basis in three spacial dimensions.  Yet one-dimensional strings generate primarily two-dimensional world-sheets.  Such world-sheets are the Gliossi mapping of where a world-sheet had just kinematically differentiated over a successive series of instantons, and bears a holonomic structure that consists of an organization of scattered norm-states.  Such "intertube" and "figure-eight" shapes ae examples of toroidal phenomena.  All illuminated superstrings that are detected are perceived of as having a toroidal shape for that reason!  Even though one-dimensional strings require being perceived of as toroidal, these fields are as such because the residue that these receive is acquired from within a general three-dimensional world-sheet as the assoiciated one-dimensional superstring is propagated through a Lagrangian.  The fact that one-dimensional superstrings primarily have only two-dimensional discrepencies helps to explain also why one-dimensional stringular fields eigenstates per Laplacian condition at instanton are always thinner than the corresponding field eigenstates that are associated with two-dimensional strings per Laplacian.  This is why superstrings are detected in the globally distinguishable as tori-related phenomena.  An individual eigenstate of a substringular field is an example of a torus.  (Such as similar in M-Theory.)  Superstrings are actually vibrating strands and vibrating hoops.  One-Dimensional superstrings are vibrating strands while two-dimensional superstrings are vibrating hoops, as you will remember from Course#2, yet, as detected from the surrounding fields of the superstrings, one-dimensional superstrings are detected as relatively thin propagated tori & two-dimensional strings are detected as relatively fatter propagated tori.  (As is always the case as shown by illuminated superstrings that are detected.)
I will continue with the suspense later!                                                       
Have a phenomenal day!
Sincerely, Sam.

Part Two of the Second Test Of Course Six

5)  When both limits of the Royal Arc are thus connected through recycling, the shape appears as a circle.
 
6)  Such a majorized shape through the Lagrangian of one set of parallel universes of the Ultimon appears from the outside as a giant but relatively thin hoop.  There are 12 of such general world-sheets that contain all of the superstrings that act as what we would determine as the kinematic region throughout all of the multiplicit sequential series of instantons.

7)  Before each instanton, there must be an instanton-quaternionic-field-impulse in order to act as an equal and opposite reaction to the virtual break in homotopy during what I term of as the "space-hole."  Such an impulse-mode molds the substringular encoders so as to form that pattern that is fitting for the relativley Laplacian condition of the ensuing instanton.

8)  Tori-Sector-Ranges vary very little in flow rate (within a googleth of a variation in covariant metric), while yet coompensating for their corresponding approaches via the reversal in their associated multiplicitly covariant differences in flow rates.  This is due to velocity being relative to the observation of a phenoman at the varying given positions, and such varying positions are here to be considered arbitrary.

I will continue with the suspense later!  Until then, you have a wonderfull day and a wonderfull night.
Sincerely, Sam Roach.                                                                                     

Part One Of Session Nine Of Course Six

Well hello again world, this is Sam Roach here!  I am here today to begin to write about what I have in store for you for the ninth session of Course Nine!
          
How does electromagnetic energy -- particularly visible light -- become a part of this majorized Royal Arc of half-hoops that work to propagate the input of all of the information of the physical portion of space and time to the various positions of the Continuum where it needs to go?  Remember the strings that take up the residue of a torus?  Some of this residue, when fully collected by the central stringular encodements  of forward moving time that work to indirectly yet significantly encode for the redistributions that occur over the successive series of many instantons, goes "up" and "around" the countered general world-sheets relative to both pairing pairs, while the remainder of this residue goes a little "up" and then "straight" across to the pairing string of the pairing general world-sheets.  This action happens because upward motion includes screw momentum that goes from an arbitrary "pi" to a corresponding relative "pi/2" and subsequently to a corresponding "0pi," while a residue of this is a remainder that just tags along by means of the "x-axis.'" The slight motion "up" of the latter is due to any other minor fractor of frictions that will always be there during the traspiring of such gauge-metrics.  This friction is between arcing residue And residue that won't arc.  The arcing residue is residue of ground sates that need to temporarily become norm states, while the residue that just goes across is residue of norm-states that needs to temporarily become ground states.  This residue does not become completely taken care of in one swipe.  The number of swipes  of instanton that it takes for full recycling of a ground state to a norm state or a norm state to a ground state is equal to the number of general strings in the associated encoder of the corresponding tori-sector-range multiplied by 10^(-43) seconds.  It may appear that a ground state becomes norm or a norm state becomes ground immediately because there are basically countless indistinguishably different particles  This means that there are many particles that are different when considered in a literal tense, yet have the same make-up and behave the same way to where you can pretty much say that these are the same particles.  If the composition of a local tori-sector-range were to change, then it takes the number of swipes of instatnon equal to what would have occurred theoretically when involving the initial substringular encoder plus the number of swipes of instanton that would occur theoretically when involving the newly operative stringular encoder in order for the substringular field of specific ground and norm states recycle into each other while that recycling back into their original type of subspace (ground or norm, respectively).  Again, the parity, spin-orbital momentum, and the transversal momentum of such described superstrings would appear from the outside to have not changed unless a perturbative force altered the conditions of the said superstrings, if such strings are in conformal invariance due to indistinguishable differences.  Likewise, the specific covariant codifferentiating locus as to where such associated ground-state-based mini-string and norm-state-based mini-string may vary, as it inevitably does, so that the recycling of Ward Conditions may propagate so as to allow change that invariably here indirectly causes the Gaussian Transformations that act as the Jacoban eigenbases that allow for superstrings to interact in such a manner that these get permittivity "fed" back into them so that these may be the basis of energy so that energy and existence may exist at all.  I will continue the suspense later!  Sincerely, Sam Roach.        

FTAAN, Session 3

Anti-Cevita energy is energy that causes a perturbative physical substringular state to become non-perturbative. A Wess-Zumino conditions is a condition of a substringular state that is non-perturbative. A Cevita condition is a physical condition of a substringular state that is perturbative. A Cevita conditions is mapped via the multi-dimensional euclidean cartesian tying together of the substringular Poincaires that define the substringular region that is given. The given Cevita energy is varied through the region of the neighborhood of the differentiation of the given substringular phenomena that acts as the given substringular states. The Ward conditions of the Ceivita energy that are referred to here are the topological vibrations of where the substringular states were defines the ghost anomallies related to the differential existence of the substringular states. These ghosts may be mapped as I referred to before by Poincaire extrapolation, and one may then define the existence and neighborhood of light-cone-gauge ghosts, ghosts of singularities, ghosts of world-sheets, ghosts of Planck phenomenon related phenomena, ghosts counterstrings, and/or ghost of superstrings. Ghosts of Planck phenomena related phenomena are mapped out as Fadeev-Popov-Ghosts and there are ghosts of superstrings. Fadeev-Popov-Ghosts are more easily measurable during Wess-Zumino conditions since strings here are non-perturbative. When substringular states are under conformal invariance, the superstrings given are steady state, and one may detect a Fadeev-Popov-Ghost by mapping it and then by going convex to concave to discern a set of iterations of a substriingular phenomenon that appears torroidal because of the set of vibrations that define the detection of that given substringular phenomena.