Last Test Solutions To The First Test Of Course 20

5)  Light that is to be in the process of traveling through any medium other than a vacuum, will tend to be slowed-down via the so-eluded-to process of going through such an inferred medium.  What happens in general, as light is to be going through a medium that is to slow its velocity -- is, that the said light is initially scattered by the topological stratum of such a general genus of phenomenology, to where the just scattered photons are to then go from an annharmonic re-delineaton to then such said photons are to then to be brought back into a proximal local orbifold eigenset of electromagnetic energy -- to where, until such so-eluded-to photons are to be re-scattered, such photons are to then to move in the direction of least time, until these are to be re-scattered, until these discrete quanta of electromagnetic energy are to again to be annharmonic in re-delineation until these are to be brought back into a proximal local orbifold eigenset of electromagnetic energy, to then such photons are to then to again to travel in a relatively straight manner in the direction of least time, and so on -- as is as according to the processes of Snell's Law.

6)  The Green Function, as it is to here to be applied to the processes of the Fujikawa Coupling, is a mathematical means of working to determine as to how the multiplicit discrete quantum of kinetic energy, that is to be released by an electron that is to here to drop back-and-forth an energy level -- is to bend in a hermitian manner, in so as to work to form a resultant consequent bosonic string that is known of as a photon.  (This "Green Function" works to describe how a discrete quantum of electromagnetic energy, is to be formed by the hermitian bending of an open strand of substringular topological stratum -- into that closed loop phenomenology as to then to work to become a photon. Such a hermitian bending is to here to be consistent in only to change in as many derivatives here, as the number of spatial dimensions that it is to be traveling through, over the directly corresponding successive series of instantons in which such a change is to be occurring in.)

7)  A two-dimensional string of a photon, is to move through a minimum of 10 spatial dimensions plus time -- as it is to be traveling via any consequent Fourier Transformation.  The additive spatial dimensions are to be traveled through -- in-between BRST and the end of any directly associated iteration of instanton.  Such a so-eluded-to string, during BRST, is to have a circumference that is equal to the Planck-Length divided by a factor of 3*10^8.  During the ensuing Regge Action, such a superstring is to "stretch back out" to having a circumference that is equal in scalar amplitude to the Planck Length.  Whereas, a gauge-boson is a closed-loop, that is of a higher spatial dimensionality during BRST (but of a lower spatial dimensionality during the ensuing Regge Action) -- that is to "pluck" light-cone-gauge eigenstates like a harp -- in so as to work to form Schwinger-Indices that may be thought of as gravity waves.  Such a genus of a closed-loop phenomenology that is of the nature of being a gauge-boson -- is to bear a circumference of twice the Planck Length.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Partitions And Mini-Stringular Segmentation

Let us initialy consider a bosonic suprstring of discrete energy permittivity, that is Lorentz-Four-Contracted by a factor of 10,000.  If this is the case, then, this so-stated superstring will thereby bear the scalar magnitude of the correlative Polyakov Action by a factor of 3*10^4. If a given arbitrary superstring of discrete energy permittivity bears, over the course of one iteration of BRST, the scalar magnitude of its directly corresponding Polyakov Action by a factor of 3*10^4, then, it will work to have implemented upon it, over the course of this said iteration of BRST -- 3*10^4 of what I happen to call as "partitions."  When a bosonic superstring of discrete energy permittivity bears 3*10^4 of these so-eluded-to separations from a condition of working to bear a unitized Lagrangian-based flow -- then, this tense of a Laplacian-based differentiation of such  so-eluded-to multiple  proximal localized spots that each work to bear one of such "partitions" -- that are homotopically bound to the holonomic substrate of the topological surface of the said superstring, in a Gliosis manner at the Poincare level to the external main surface of the core-field-density, that is of that so-stated respective given arbitrary superstring, -- to where the overall net effect of the total said 3*10^4 partitions, will then work to intertwine with the said main surface of the core-field-density of this string -- as a metric-gauge-based phenomenology that operates here, in so as to bring a respective net flow in this case, of 3*10^4 times as much of the scalar amplitude of a net flow of mini-stringular segmentation that is here to be directed into the Ward-Neumman bounds of the core-field-density of the said string, than the scalar amplitude of a net flow of mini-stringular segmentation that is instead to here be directed out of the Ward-Neumman bounds of the core-field-density of the said string.  Such a net of incoming mini-stringular segmentation is to here be imbued upon the so-stated bosonic superstring of this case, in the form of those first-ordered point particles that work here in so as to help to comprise the eigenindices of the said bosonic string of discrete energy permittivity.

Some More As To The Conformal Dimensions Of Certain Bosonic Strings

Let us here consider certain of some given arbitrary bosonic superstrings of discrete energy permittivity.  The first of such superstrings, is a bosonic string that is stationary in a terrestrial-based manner -- in so that the Lorentz-Four-Contraction that is directly involved with it, may be deemed of as one.  (No effectual tendency of a Lorentz-Four-Contraction happening to this respective superstring here at this given arbitrary moment.)  Such a superstring of discrete energy permittivity would then work to bear 3*10^8 of what I term of as "partitions."  As an ansantz, any number -- when taken to the zero power -- is one.  So, the conformal dimension of such a so-stated superstring that is of the general nature of being of basically a two-dimensional spatial-based manner -- will then have a conformal spatial dimensionality of:
1+2^((3*10^8)/10^(43)), or, basically of a spatial dimensionality of "two."  Now, let us then consider another bosonic superstring of discrete energy permittivity -- that bears a Lorentz-Four-Contraction of 3*10^8.  Such a superstring would then work to bear only one of what I term of as a "partition," to where its conformal dimension would then be:  1+2^((1)/10^43)), or basically of a spatial dimensionality of "two."  So, let us now complete an explanation of the pattern -- by now extrapolating a bosonic superstring of discrete energy permittivity that is Lorentz-Four-Contracted by a factor of 4. It would then only work to bear 75*10^6 of what I term of as "partitions," at that Laplacian-based point in time.  Its conformal spatial dimensionality would then be 1+2^((75*10^6)/10^43), or basically, "two."
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Two to an Aside to Differential Operators

In a given arbitrary scenario that I am describing here, a generally set number of first-ordered point particles, that are directly corresponding to certain given superstrings of discrete energy permittivity, come together at the center state of each respective given arbitrary tori-sector-region -- during the general activity that is directly associated with the Bases of Light, that I have mentioned in my blog before.  (This is right before the general metric of the instanton-quaternionic-field-impulse-mode, during the generally unnoticed portion of the duration of Ultimon Flow.)  These points then get "picked-up" by what may here be termed of as constituent-force-sectors, or, mini-stringular segmentation -- that tend to be in the "line of fire" of the so-stated center-of-state first-ordered point particles, these point particles of which here are directly associated with superstrings that will soon iterate again at the ensuing generally noticed portion of Ultimon Flow -- this generally noticed duration, being the iteration of group instanton.  Once the duration that I term of as the Bases of Light happens (during the "space-hole")  --  in so as to allow for the re-grouping of both the multiplicit array of Fadeev-Popov-Trace eigenstates and the multiplicit array of superstringular phenomenology of discrete energy permittivity to happen, and, in so as to allow for those minor alterations of homotopy to be redelineated, so that the processes of Gaussian Transformations are to be able to happen spontaneously -- the instanton-quaterionin-field-impulse-mode happens, in order for the respective organizations and delineations of superstrings of discrete energy permittivity, along with their correlative Fadeev-Popov-Trace eigenstates, to be able to go to the multiplicit loci where these are to iterate -- at their ensuing positionings of group instantons, so that the generally noticeable portion of instanton may be able to occur.  This is also so that the next frame of space-time-fabric may be able to be re-attained.  As well, every time that the multiplicit array of superstrings are reiterated, in the course of the constantly remolding of the superstringular conditions that must happen during each succeeding series of the increments of BRST, the relative velocity of each superstring will tend to alter in its mode, with respect to both the existence and the motion of electromagnetic energy.  As any given arbitrary superstring of mass is altered in its relationship to the velocity of electromagnetic energy, this will alter its affiliation with the local Lorentz-Four-Contractions, that are locally primed in this respective given arbitrary scenario.  As the Lorentz-Four-Contractions that are here directly appertaining to one given arbitrary superstring of discrete energy permittivity are altered locally, both the degree of the contraction of the said given superstring is changed, and thus, the number of what I term of as partitions -- that are primal to the said superstring --is altered here, as well.  I apologize that I may have been a little unclear as to the relationship of this specific factor before, yet, the idea is a little bit clearer to me now.  Let us say that the bosonic superstring of mass of this case is Lorentz-Four-Contracted by a factor of 3*10^8.  It will then have both one "width-wise" partition and one "thickness-wise" partition, that is directly associated with this.  Now, let us say, instead, that the bosonic superstring of mass of this case that is Lorentz-Four-Contracted is terrestrial-wise stationary, to where the local Contraction is trivially one.  It will then have both 3*10^8 "width-wise" partitions and 3*10^8 "thickness-wise" partitions, that are directly associated with this.  In both cases, though, the conformal dimension of the said given respective superstring of this case will be two, because, both 1+2^(1/10^43) is basically two and 1+2^((3*10^8)/10^43) is basically two -- any number to the zero power is one, and, both 2^(1/10^43) and 2^((3*10^8)/10^43) are basically each respectively to the zero power, or, another words, one. The tricky part is, that what we perceive of as a Lorentz-Four-Contraction is actually the result of the inverse of the activity of the Polyakov Action eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

Session 16 To Course 12, Last Test

1)  How does a one-dimensional superstring normally vibrate?

2)  Explain how a one-dimensional string may have more of a chance at becoming slightly tachyonic.

3)  Explain how a one-dimensional string may become very tachyonic.

4)  Explain how a two-dimensional string may become slightly tachyonic.

5)  Explain how a two-dimensional string may become very tachyonic.

6)  Explain how fermionic superstrings oscillate during the generally unnoticed portion of Ultimon Flow.

7)  Explain how bosonic superstrings oscillate during the generally unnoticed portion of Ultimon Flow.

8)  Explain how fermionic superstrings oscillate during group instanton.

9)  Explain how bosonic superstrings oscillate during group instanton.

10)  Why does a fermionic superstring have a fractional spin?

11)  Why does a bosonic superstring have a whole spin?
I will provide you with the test solutions later!
Sincerely, Sam Roach.

Session 14 Of Course 12

Two-Dimensional superstrings iterate during the metric of group instanton at the same time as one-dimensional strings iterate over the metric of group instanton.  Two-Dimensional superstrings and their directly related Planck-like phenomena work to comprise the respective discrete energy permittivity and discrete energy impedance that makes up part of any given arbitrary bosonic sub-atomic particle.  Bosons have a whole spin.  Two-Dimensional superstrings ideally iterate as basically circular-based vibrating hoops.  Yet, usually, two-dimensional strings are in a vibratorial state that involves permutations that at least partially form at least some aberration from the condition of these having the shape of a basically circular tense of a vibrating hoop.  Two-dimensional superstrings iterate in a harmonically vibratoiral manner during the course of the general metric of group instanton.  Yet, the said bosonic superstrings (two-dimensional strings) vibrate in an anharmonic vibratorial manner during the generally unnoticed portion of Ultimon Flow.  The series of anharmonic vibrations that a two-dimensional bosonic string bears over the generally unnoticed portion of Ultimon Flow works to integrate -- over the activity of a sequential series of pulsation -- into what becomes a harmonic vibratorial oscillation over the course of noticed Ultimon Flow.  This is in part due to that the here given arbitrary anharmonics of bosonic strings that happens in-between successive durations of group instanton forms an integrative kinematic pattern that works to form the harmonic vibratorial oscillation that bosonic strings exhibit during group instanton.  This tendancy helps to allow the directly related parity of the said bosonic strings to give the said strings their condition of having a whole spin.  The integrated harmonic oscillations of one-dimensional strings during the generally unnoticed portion of Ultimon Flow -- when combined with their tendancy to have anharmonic vibratorial oscillations during the course of group instanton -- forms a sequential series of vibration indices that forms an overall anharmonic vibratorial oscillation mode, that, works to correspond these said fermionic strings to bear a general parity of having a fractional spin.  Harmonic oscillation during group instanton gives the subatomic particles that are based upon a bosonic tendancy to have a whole spin.   This is while anharmonic oscillation during group instanton given the subatomic particles that are based upon a fermionic tendancy to have a fractional spin.  Both two and one-dimensional superstrings always exhibit some form of vibration at all points during the iteration of both group instanton, and, also during the generally unnoticed portion of Ultimon Flow.  The point particles of two-dimensional strings and also of one-dimensional strings always fluctuate from their neighborhoods to some extent or another during the Ultimon Flow that happens in-between individual durations of group instanton.  In this sense, the point particles of superstrings separate a little bit during the prior said general condition of metric.  Yet, the fractals of both the respective current and of the magnetic field of a given substringular setting -- the spin-orbital Hamiltonian operators that directly correspond to the kinematic activity of discrete energy via the Fourier-based differentiation of the respective superstrings and Planck-like phenomena -- always remain in some tense of semblance in so long as such a general format of operational index is not frayed.  I will continue with the suspense later!  Sam Roach.

Partitions

What I mean by a partition is NOT the eigenstates of metric-gauge that comprise superstrings, and partitions also do not include the swivel-shape-tendencies of superstrings that are end-to-end yet do not form a completely colinear  or radial segment from the "bottom" (for one-dimensional superstrings) or toward  the relative zero degree part (for 2-d superstrings) part of one given first-ordered point particle toward the relative top (for 1-d strings) or the relative 360 degree mark (for 2-d strings) of the ensuing first-ordered point particle that comprises any given arbitrary superstring that acts as discrete energy permittivity as this phenomena exists when one maps in a Laplacian manner the directoralization of the first-ordered point particles from the relative reverse-norm-to-holomorphic to the relative forward-norm-to-holomorphic direction of where a given superstring exists during its tightly-knit "Fourier"-sub-metric vibration that happens during instanton.  What I mean by a partition is a condition in which a given first-ordered point particle that is in the relative or forward or reverse-norm-to-holomorphic Laplacian mapping of a given superstring is completely to the side of the topological flow of the given superstring while yet directly adjacent to the same topological flow of the said superstring -- touching with an unborne tangency (or, in other words, the touch is not Gliossi) -- with a separation that is the thickness and/or width a first-ordered point particle.  The separation itself is either in the holomorphic, reverse-holomorphic, forward-norm-to-holomorphic, and/or in the reverse-norm-to-holomorphic direction of the said superstring.  The direction of the Laplacian flow of the topology of the said superstring where the said partition is at is either in the forward-norm-to-holomorphic, reverse-norm-to-holomorphic, and-or in the holomorphic or in the reverse holomorphic direction of a given superstring when taken respectively.  If the locus of where along the topology of the Laplacian mapping of a one-dimensional superstring is is in the norm-to-holomorphic direction of that mapping of a given superstring, then the separation that I here have called a partition is either in the holomorphic or in the reverse-holomorphic direction of the substringular momentum of the said one-dimensional superstring.  If the locus of where along the topology of the Laplacian mapping of a two-dimensional superstring is  is as what I just mentioned about one-dimensional strings, then the partitions are as before Except that these partitions will be mapped out radially along the topology of a given bosonic string And the said partitions will also simultaneously be mapped out also in the norm-to-holomorphic, reverse-norm-to-holomorphic, holomorphic, and or/in the reverse holomorphic direction of the Laplacian flow of the topology of the said bosonic string.  If the Laplacian flow just implied is radially in the holomorphic direction of the said bosonic string, then the direction of the corresponding separation is both in the holomorphic and in the norm-to-holomorphic direction of the described bosonic string.  Yet, if the Laplacin flow just implied is radially in the reverse-holomorphic direction of the said bosonic string, then the direction of the corresponding separation is both in the reverse-holomorphic and in the reverse-norm-to-holomorphic direction of the substringular momentum of the said bosonic superstring.  Next, I will explain the condition as to that the Minimum number of partitions in a one-dimensional superstring is one and the Minimum number of partitions in a two-dimensional superstring is two.  Generally, there are a lot more partitions in these.  I don't want to lose the reader, so I will continue with the suspence later!  
Sincerely, Samuel David Roach.