A Little Bit As To Why Certain Spaces Interact

When two different unique orbifolds that are of the same universe interact with each other over a given arbitrary Fourier Transformation in a viable manner, these given arbitrary orbifolds that work to here describe two different unique spaces of physical phenomena bear adjacent Planck-related phenomena -- that work to help comprise the physical composition of the said respective orbifolds -- that are orphoganal when relative to one another when one is to map the individual distributions of the said Fadeev-Popov-Traces at their delineations over a successive series of group instantons.  This orphoganal relative placement of covariant codeterminiable codifferentiable delineation works to allow for the vibratorial oscillations that are emitted from the said Traces to be orphoganal with a relativistic wobble of ~1.104735878*10(-81)I degrees.  Since all touch is related to a 90 degree correlation, spaces that are Real relative to one another always tend to have adjacent Planck-related phenomena that are norm when such corresponding Traces are mapped-out relative to one another in order for such spaces to codifferentiate with one another in any viable manner that bears a direct correspondence of the one space or orbifold when relative to the other respective space or orbifold.  So, the condition of relative norm-conditions is what works to draw in and to draw away physical spaces that are Real when in correlation to one another, in order that the conditions and the activities of Gaussian Transformations are o be able to act as an operation that allows for the continual kinematic redelineation of the substringular to be both spontaneous and perpetual.  This is why it takes Real Reimmanian Hamiltonian-based operators, operations, and operands in order to allow for the direct interplay of superstringular phenomena to codifferentiate when the corresponding spaces -- that act as orbifold-based phenomena -- are bearing delineatory orphoganation that works to allow such covariant spaces to be of the same universe.  Thus, it takes Njenhuis Hamiltonian-based operators, operations, and operands in order to allow for the direct interplay of superstringular phenomena to codifferntiate when the corresponding spaces -- that act as orbifold-based phenomenea -- are bearing delineatory orphoganation that works to allow such covariant spaces to be of different universes that here imbue a relatively rare correspondence.  So, if two spaces that were initially of different universes become assimilated in a directly viable manner in which there is a significant Yakawa Coupling Hamiltonian basis of codeterminable functionability, then, such spaces or orbifolds will then more than likely be at least temporarily of the same universe over the course of at least a transient Fourier Transform.

The Difference Between Two Different Time-Moving Modes

As superstrings that move as according to a forward-moving time-based momentum during the generally unnoticed portion of Ultimon Flow initially move as according to an (n-1) mode from our set of parallel universes on the way to the relatively far set of parallel universes -- while then moving as according to an (n+1) mode from the relatively far set of parallel universes back to ours, those superstrings that move as according to a backward-moving time-based momentum during the generally unnoticed portion of Ultimon Flow initially move as according to an (n+1) mode from our set of parallel universes on the way to the relatively far set of parallel universese -- while then moving as according to an (n-1) mode from the relatively far set of parallel universes back to ours.  This happens in such a manner in so that both superstrings of discrete energy permittivity that move as according to forward-moving time-based momentum and also superstrings of discrete energy permittivity that move as according to backward-moving time-based momentum are then here able to quantize to at least some certain extent as these said superstrings flow through the world-tubes that these are to move through en-route to go to the next sub-Fourier metrical condition of the Bases of Light during the Eigen-metric-based duration in which the space-hole is able to happen -- so that the ensuing delineations of the said superstrings may occur as these are encoded to go to as is partially caused also by the given arbitrary motion of the substringular encoders that mold during the instanton-quaternionic-field-impulse-mode.  This happens in-between the individual iterations of group instanton so that the overall status of the distribution of superstrings may be appropriated to the right spots at the right "time." 
I will continue with the suspense later!  Sincerely, Sam Roach.  The individual momenta of superstrings that exists from one delineation during group instanton to the next is involved in such a manner in so that this condition may be descrbed by what are known of as Hamiltonian operations.

A Little Bit Of Terminology

A Yakawa Coupling is when a substringular phenomenon  touches, rubs, and/or curls around another substringular phenomenon.  A Gliossi-based touch is the direct touching of one segment of topologically-based phenomenon with another segment of topologically-based phenomenon.  So, when there is a direct interaction of two mini-string strands -- when there is a direct touch of one eigenstate of a substringular field with another of such eigenstates of substringular field -- then, the format of the Yakawa Coupling that is here indicated is then of the general format of a Gliossi-based touch.
If there is a perturbation of a substringular phenoemenon, or, if there is a perturbation of a substringular metric, then this is when there is an alteration in the composition of the phenomenon  -- or, when there is a change in the general venue of the format of the said metric, respectively.
Right after the Regge Action happens after BRST, the forward-time-associated superstrings --  no matter what directoralization that these had in their angular momentum indices during the directly preceding group-associated instanton -- flow together in a relatively counterclockwise motion as these proceed to go into the beginning of the generally unnoticed portion of Ultimon Fllow.  This is considered the forward-holomorphic direction of the said forward-time-moving superstrings that exists in  the flow of substringular phenomena during this course of their cycling.  On this topic, right after the Regge Action happens after BRST, the backward-time-associated superstrings -- no matter what directoralization that these had in their angular momentum indices during the directly preceding group-associated instanton -- flow together in a relatively clockwise motion as these proceed to go into the beginning of the generally unnoticed portion of Ultimon Flow.  This is considered the forward-holomorphic direction of the said backward-time-moving superstrings that exists in the flow of substringular phenomena during this course of their cycling.  Yet, in the course of the iteration of a given arbitrary instanton, the direction of the permittivity of any given arbitrary superstring when in consideration of the pull of its angular momentum indices is, in another tense, considered the forward-holomorphic direction of the wave-pull of the said given arbitrary superstrings that exists during the said   iteration of instanton.  This means that even though superstrings during any given arbitrary group instanton bear -- on the whole -- countless directoralizations as to what is forward-holomorphic and what is reverse-holomorphic, the forward-holomorphic direction of one tense of time-based momentum for one set of parallel universes during a majority of the unnoticed portion of Ultimon Flow is always in the same direction -- because this is when all of the likewise-time-based-moving superstrings that are of the same universe move together in the said generally unnoticed portion of Ultimon Flow.

Simplifying The Concept of the Klein Bottle, Part One

The Klein Bottle is the phenomenon that is made as according to the Schotky Construction.  There are many individual Klein Bottle eigenstates, each of which are put together in the manner of the Schotky Construction.  A Wilson Line is a line that may be mapped in the substringular in a manner that is perfectly straight -- in spite of the conidition that space time is generally curved as it may be mapped over the expanse of the Continuum.  A Schotky Construction is a format of structure that bears two sets of orientafolds that bear one of such orientafolds that is parallel from another one that are spaced out by four Planck lengths, along with another of such orientafolds that is parallel from another one that are spaced out by two Planck lengths.  Although one set of two sides of a given arbitrary orientafold that form a box-like structure will be parallel, the other set of parallel lines that work to comprise the same said orientafold are not necessarily norm in so as to form an open parallelepiped.  An orientafold is a surface area that is shaped as either a rhombas or a square respectively, that is parallel to another surface area that is shaped as a rhombas or a square -- respectively.  Generally, an orientafold is of a square-like shape, when in terms as to how it is put together.  The orientafolds of a Schotky Construction are square-like compositions that are mainly composed of adjacent second-ordered point particles that are brought together in the said adjacent manner in such a way in which the whole surface area eluded to is filled to the maximum by the mini-string that works to comprise the composition of the sides of the said format of orientafolds.  The Schotky Construction has two sides that comprise the outer bounds of its length that are parallel and the Schotky Construction has two sides that comprise its width that are parallel, respectively.  The relative bottom orientafold of such a Construction works to interconnect the length and the width of the directly related composition that is parallel to the relative top of the said construction -- and the mentioned relative top of the said construction is open -- it is parallel  as an orientafold that is of a void of physical boundary that works to allow for the entry of the directly associated superstrings that become fully contracted when these come into the directly related eigenstate of the Klein Bottle.  This happens in so as to allow for the activity of an eigenmetric of the Kaeler-Metric.  The interior of any given arabitrary Klein Bottle eigenstate is basically filled with first-ordered point particles that are separated by a factor of 10,000 -- when in terms of the diameter of the said first-ordered point particles -- so that the said first-ordered point particles that are in the said eigenstate of the Klein Bottle are spaced-out enough to allow for enough of a lee-way in so as to allow for the spatial ability of the entry of fully-ordered superstrings.  This here is so that the said superstrings may be able to go through the individual respective eigenmetrics of the said Kaeler-Metric eigenmetric.  Gotta Go.  Sam Roach

Fourier Transformations Versus Laplacian Transformations

Let us say, as a comparison -- metaphorically -- that one takes a video cam to record a bunch of consecutive activites that happened in a house.  The video will here show a footage of events that happen over time.  Differentiation is relative change.  Differentiation over time is called a timewise differentiation.  Now, in the substringular, timewise differentiation is known of as a Fourier Transformation.  Time comes in units that exist per 10^(-43) of a second at the smallest.  All time that is considered as actually time happens in increments that are divisible by 10^(-43) of a second.  Although there are durations that are smaller than the smallest units of time -- because we only notice time when superstrings are in an integration of snapshots in which these are basically at a standstill -- durations as to what are considered as time are durations that are divisible by the said 10^(-43) of a second.  A discrete unit means the smallest unit of something that is of that something.  A discrete unit of time is known of as an instanton.  When a superstring goes from one instanton to another, there is a jump that is not smoothly continuous from one of its positions to another -- the said superstring, of which has either the circumference (for two-dimensional strings) or the length (for one-dimensional strings) of the Planck length.  The Planck length is 3*10^8 times the distance in a respective fraction of a meter as the amount of time of an instanton when in a respective fraction of a second.  So, the Planck length is 3*10^(-35) of a meter.  From one instanton to the next, a given arbitrary superstring moves the Planck length and/or the Planck radii per said instanton -- if the said superstring is undergoing Noether Flow.  Yet, in order for there to be any smooth motion -- since a superstring can not rationally jump from one spot to the next with nothing in-between the two positions -- there are distances infinitely smaller than the Planck length, and there are durations smaller than the Planck time.  What then happens is that a superstring exists in a given arbitrary spot during a given instanton.  The said superstring during a vast majority of the said instanton is -- at the mentioned moment -- at a virtual standstill.  After the eluded to said vast majority of the said instanton -- which is known of as BRST -- the superstring enters an acceleration known of as the Regge Action as the said string enters a flow around the Ultimon.  The Ultimon is the connection between all three sets of universes that exist. Ultimon Flow is what allows superstrings of discrete energy permittivity to have some sort of needed inter-relation with all other superstrings of discrete energy permittivity besides the connection that these bear on account of their correlative local fields.  The said Ultimon Flow is also what allows for the potential for tachyonic flow -- if a said superstring is to travel outside of Noether Flow.  This way, not only do superstrings here then have the ability to travel anywhere if given the proper change in environment per consecutive instantons (in physical space that is in those hoop-like regions that are where superstrings are to be at at any given group instanton), yet, this way, the said superstrings may bear a non-changing (invariant) ability to move smoothly from one spot to another without needing to jump from one spot to another with nothing in-between.  This is because there always has to be a continuity of motion between where a phenomenon is at one given duration to the next.  Smooth motion where there is no jumping from one spot to another with nothing in-between is known of the foundation for what may be called hermtian gauge-metrics.  Gauge-Metrics are here meant as very small durations that happen in less than one discrete unit of time.  So, when one puts together these "snapshots" of the instantces in which superstrings are at from one group instaton to the next and so on -- into a successive series of such instantons -- this eluded to integration forms the kinetic flow of motion of discrete phenomena known of as energy.  So, durations that involve actual motion that occurs in less than one instanton are known of as sub-Fourier Transformations.  This is because, if there is any actual motion, then, the sitation is not Laplacian -- because it involves something besides a pure "snapshot" of a mapped-out framework of phenomena.  So, a Laplacian Transformation is a condition of differentiation that involves no actual motion -- it only maps-out the "picture" of what is where during a timeless and motionless extrapolation of how things are in a "snapshot" of where something is at at a pure actual instant.  Please see my other posts.
I will continue with the suspense later!  Sincerely, Sam Roach.

Light Quantization

Here is one  way to look at the quantization of light in a laymen's manner -- so that it is simpler to understand.  Let us say alogorically that the smallest amount of water -- in this arbitrary example -- was a small drop of water.  When one given said drop of such water drops into a pool of water, what was initially a drop of water will here now, in a way, act as the whole pool of water in this case-- yet, the said drop of water will still act as the initial drop of water in other ways as well.  The said pool, in this case, may be thought of as a conglomeration of basically countless of such drops of water.  This may work to help explain the concept of quantization in a metaphorical manner that a layman can understand.
Likewise, when a photon quantizes into a beam of light, the said photon then acts as both the whole beam of light -- as well as acting as the individual said photon at the same time.  Here as well, the photon is the smallest amount of electromagnetic energy (here, light in this case) that still acts as the phenomenon of being electromagnetic energy.  A discrete amount of electromagnetic energy is the smallest amount of electromagnetic energy that is still electromagnetic energy.  We normally think of light when we think of electromagnetic energy. A discrete unit of electromagnetic energy is also known of as a quantum of light.  The just mentioned condition of a photon entering a beam in such a manner in so as to both act as the whole given arbitrary beam of electromagnetic energy -- as well as acting as an individual photon -- is the basic general concept as to what the quantization of electromagnetic energy is.  And, all motion is relative to the existence and the activity of electromagnetic energy -- or, to simplify, all motion is relative to the existence and the activity of light.

The Basis Of What A Hamiltonian Is

A Hamiltonian is a form of a Jacobian-based expression that denotes a subatomic (anywhere from barely subatomic down to the substringular, respectively) relativistic fractal of momentum-based functional organization of directly related indices.

Spaces That Become Of The Same Universe

Let us say that a space in the form of an orbifold moves over a Fourier Transformation so close to another space in the form of an orbifold to where the intrinsic vibrations of both orbifolds become syncrounized in so that both orbifolds -- that were here in this given arbitrary scenario initially from two different universes -- become of the same universe.  This often is caused by a viable Yakawa Coupling that codifferentiably acts in some form of a Gliossi manner in so that those vibrational indices that here directly appertain to vibratorial oscillations that initially denoted the two orbifolds as existing in two different universes to alter or perturbate in such a manner in so that the two spaces that were initially Njenhuis when covariantly considered -- the one orbifold to the other -- become appertaining to two spaces or orbifolds that bear the same genus of Gaussian-based spacing.  Such orbifolds here -- depending on the situation -- may be moving from one format of condition in which these spaces alter in their spatial dimensionality over the Fourier-based mapping of their trajectory over time, or, in other cases, the said two orbifolds may otherwise be kinematically associated with one general format of spatial dimensionality that moves through a discrete Lagrangian that is codifferentiably and covariantly of the same genus of Ward-Caucy-based bounds over the eluded to Fourier-based transformation when both in terms of the individual orbifolds while these are translated through their respective Lagrangian Hamiltonian operands -- as well as in terms of the dual translation of the binary subtension that exists among the two said orbifolds as these discrete spaces that exist in the form of orbifolds are delineated in when over the course of the duration in which such spaces that work to define a specific operation that performs a specific function codetermine the one upon the other over the eluded to time in which such orbifolds interact over the said Fourier Transform.  So, as the said two orbifolds initially partake of the said kinematic motion through the duration in time in which these bear a covariant, codeterminable, codifferentiable relativisitic interaction as these are being redisplaced ad redineated, these eluded to orbifolds are initially from two different universes that bear a spatial relationship that is Li-Algebra-based over the initial sequential series of their binary Hamiltonian operations.  The two spaces or orbifolds then here bear a harmonic infringement that is Yakawa and possibly even Gliossi after a certain relatively small number of iterations of group instanton.  As the said Yakawa wave-tug/wave-pull is torsioned in terms of the relatively direct abelian-like interaction that happens between the two said orbifolds, then, due to the relative proximal Poincaire-based spatial interactions that are eminent -- when given the metric-gauge covariance that is impendant upon the format and the genus of the corresponding said Yakawa Coupling that is here happening at this point, the intrinsic vibrations of the directly related Fadeev-Popov-Traces that act as discrete energy impedance -- as well as the intrinsic vibrations of the directly related superstrings that act as discrete energy permittivity -- syncrounize their intrinsic vibrations due to the binary field projections that emanate here from the one discrete energy phenomenon to the other.  This happens through the central conipoint that is subtended from the central coniaxial that is derived from the dual Laplacian-based mapping of both substirngular formats of discrete energy that is eluded to here  -- the one upon the other, due to the condition of what has been discussed as group attractors.  At this point, what was once two spaces or orbifolds that were initially of two different universes are now two covariant, codifferentiable, and codeterminable orbifolds that act as two Hamiltonian operators that work to perform two respective different functions that work to act in and of the same universe.
I will continue with the suspense later!  Sincerely, Samuel David Roach.

Some More As To Gauge-Metrics

What you are getting at is what I call gauge-metrics. Gauge-Metrics are actions that happen in less than the Planck-time. What we generally recognize as time is the integration of a successive series of moments in which superstrings are basically at one general delineation at one general position. From one of these said moments to the next, the said superstrings are repositioned from one Planck-based distribution to another. When one puts together the said successive series of such redelineations, the flow of the corresponding kinematic motion works to form the energy that makes up space-time-fabric. As an alagory, think of a cartoon. One here has one framework of distribution that integrates -- through a successive series of such redelineations of the eluded to redistributions -- a successive series of positionings and repositionings that works to form a flow of mapped-out motion that may be metaphorically considered as an energy as to the condition of the previously mentioned cartoon. Now, use such an alagory in terms of the framework of the substringular. A superstring is in one generally-stated standstill position in which there is some acitvity, yet, the superstring here averages in one basically exact concerted distribution. After each instanton, the said superstring is redelineated the Planck-Length and/or the Planck-Radius per said individual instanton. This is if the said superstring is undergoing Noether Flow. After a successive series of such instantons, the said superstring is here undergoing a flow of motion, that, via the holonomic substrate of the entities of that substringular phenomena that works to comprise the superstring-like pheonmena, works to form that energy that makes-up the space-time-continuum. Those motions that both happen during the eluded to virtual standstill of the substringular during BRST (which is that duration that is a vast majority of instanton, and, is more specifically when superstrings are at a virtual standstill), and, those motions that happen during the durations that exist in-between individual instantons -- the unnoticed portion of Ultimon Flow -- work to form many gauge-metrics that are essential for the operation of substringular motion.
Samuel David Roach.                                          

Dimensionality of Oribifolds

When a space that exists in the form of an orbifold moves through a discrete Lagrangian as a space that remains in the same general format of covariantly-based Real Reimmanian Gaussian symmetry, then, over the course of the corresponding Fourier Transformation in which such a given arbitrary space is moving over the eluded to time-frame, the said space is traveling consistently here in the same universe during the said duration. Yet, such a space as I have been discussing here may often enter perturbative fields in which the said orbifold may enter and/or leave levels of dimensionality that involve respectively more or less numbers of spatial dimensions. The genus of universe that a space or an orbifold is existent in does not work to define the number of dimensions that the said space is moving in as a specific condition in and of itself. Likewise, the genus of universe that a space or an orbifold is existent in does not work to define the specific format of dimensionality that the said space is moving in as a specific condition in and of itself. What genus that a given arbitrary space is moving in, over a specific given Fourier Transformation that here directly involves the timewise motion of an orbifold that is traveling through a Lagrangian in order to operate to perform a specific function, is based upon the format of the norm-based conditions of the directly corresponding discrete units of energy impedance that work to comprise the impedance of the said orbifold -- when in relation to the alterior formats of the norm-based conditions of the directly corresponding discrete units of energy impedance that work to comprise the impedance of the orbifolds that spatially surround the initially mentioned orbifold. This may not be a complete enough explaination for many to understand, yet, this is the beginning of a dialogue that we may work upon in order to better understand a solution to such questions. Sincerely, Sam Roach.

Gravitational Basis

Even though antimatter and antigravity are not synonymous, there is a correlation between the conditions of antimatter and the conditions of certain aspects of gravitational format. Gravity is the interaction between superstrings of discrete energy and gravitational particles via the Rarita Structure via the multiplicitly directed and applied basis of the Ricci Scalar. When an eigenstate of gravity is moving in one general directoral basis, it is forward gravity. When the said direction of the mentioned given arbitrary eigenstate of gravity is then reversed, then, such an eigenstate of gravity is then a relative format of reverse gravity. When the wave-tug/wave-pull of the directly related Rarita Stucture eigenbasis is reversed in so that the directoralization of the directly corresponding Ricci Scalar is reversed in terms of the angular momentum of the indices that here work to comprise the said eigenbasis of the Ricci Scalar eigenoperator, then, what was initially gravity is perturbated into a condition of antigravity. Gravity for matter is based upon an Ante-De-Sitter/De-Sitter gravitational basis. Gravity for antimatter is based upon a De-Sitter/Ante-De-Sitter gravitational basis. An Ante-De-Sitter gravitational basis bears a linking of quarks and leptons that gluons work to then pull relatively inward in so as to interconnect these into a viable structural format, while a De-Sitter/Ante-De-Sitter gravitational basis tends to reverse the directly prior -- in so that the components of the corresponding sub-atomic phenomena then tend to fly apart instead. This is why matter won out over antimatter. Sam.

Test Questions to The First Test Of Course 13

1)  In simple terms, how may a swiveled one-dimensional superstring convert into a basically straight one-dimensional superstring?

2)  How are one-dimensional superstrings generally shaped during an iteration of group instanton?

3)  How may a one-dimensional superstring be conformally invariant with other one-dimensional superstrings two-dimensional superstrings?

4)  Explain conformal invariance in terms of indistinguishable differences.

5)  What is an abelian geometry?

6)  What is a nonabelian geometry?

7)  When are inertia and momentum of superstrings quantified?

8)  Whan are inertia and momentum of superstrings not quantified?

9)  When are inertia and momentumjerked?

10)  Explain when a superstring is partially explainable by an abelian geometry.

11)  Explain what happens when inertia and momentum of a set of superstrings are invariant upon the said superstrings.

The Second Part Of The fith Session Of Course 13

The maintenance of the inertia of a superstring that exists after two successive iterations of group instanton bears one quantum of inertial based constancy -- in terms of the directly corresponding Hamiltonian operation that here relates to discrete energy impedance.  The maintenance of the momentum of a superstring that exists after two successive iterations of group instanton bears one quantum of momentum constancy -- in terms of its corresponding discrete Hamiltonian operator.  The differentials that here exist in-between the direct push and pull of mini-string segments is the abelian differential quantation.  The differential that exist here in-between both the indirect push and pull of the directly corresponding mini-string segments works to form the nonabelian differential quantation.  Whena given condition of both inertia and momentum are quantitative, then, both the abelian and the nonabelian geometries that are acting upon the given superstring will here bear an even Jacobian eigenbasis.  When a given condition of both the inertia and momentum are not quantitative, then, the abelian and the nonabelian geometries that are acting upon the given arbitrary superstring bear an odd Jacobian eigenbasis.  When a superstring jerks in and out of its inertia and momentum in a manner that goes from being quantitative from being nonquantitative, then, both the abelian and the nonabelian geometries that here act upon the given superstring work to bear a series of even and odd Jacobian eigenbases.  All relatively invariant Fourier-based differentiation of the tendancy of both a specific inertial and a specific momentum of a superstring will then here work to involve a smooth kinematic-based differentiation of the both the abelian and the nonabelian geometries, in such a manner in so that this will here allow for an even Jacobian over-riding eigenbasis.
I will continue with the suspense later!  Sam Roach.

Part one of Session 5 Of Course 13

Superstrings bear momentum from either direct or an indirect mini-string-based wave-tug/wave-pull.  Wave-tug/wave-pull is the cause of all momentum and inertia.  Wave-Tug/Wave-Pull may be either immediate or wave-tug/wave-pull may happen transitionally number of orbifolds and/or orbifold eigensets over a more significant amount of instantons.  Mini-String segments that bear one given arbitrary Hamiltonian operation may have a direct force upon a superstring, or, the said mini-string segments may have a direct force upon another region of mini-string segments that bear another extrapolatory-based Hamiltonian operation in an indirect manner.  At any given arbitrary iteration of group instanton, some superstrings are pushed directly upon by certain mini-string segments, while the same said superstring are pushed indirectly upon by certain other mini-string segments. Often, over a certain sequential series of instantons, certain mini-string segments initially form a direct wave-tug ore wave-pull upon a given arbitrary superstring, while, later in the eluded to series of instanton, the same mini-string segments may apply more of an indirect push upon the said given superstring.  For many superstrings, these said vibrating hoops and/or vibrating strands are being pushed and/or pulled both directly and indirectly -- by alterior sources of mini-string segments -- at the same time by mini-string segments that are not of the same general locus, over the same transient number of instantons of which I am eluding to in this case.  Mini-String segments branch throughout space and time.  This branching-out of mini-string segments is the condition of interdependent tree-amplitudes. Tree-Amplitudes of mini-string segments work together with each other to allow for all of the given wave-tug eigenoperations and all of the given wave-pull eigenoperations that act upon superstrings from the corresponding mini-string segments that are affiliated with the said strings per iteration of group instanton.  For each iteration of instanton, the net effect of the mini-string segments that work to form the tree-amplitude format that is initially operating in one given arbitrary manner changes in terms of both its distribution and its effect upon its environment.  These changes in net effect of the said branching-out of mini-string segments works to cause those changes in wave-tug and wave-pull in the substringular per iteration of instanton -- in part by altering not only substringular delineation, but, by also altering the multiplicitly respective geometric distributions of abelian-based conditions.  This alters the momentum and the inertia that is delineated in the substringular per superstring per iteration of group instanton.  When the net inertia and the net momentum of a superstings is maintained after successive iterations of group instanton, then, the inertia and momentum of such superstrings is significangly quantific in terms of the genus of the directly corresponding condition of superconformal invariance.  I will continue with part two later!
Sincerely, Sam.

Session 4 Of Course 13 About Stringular Transformations

All superstrings always have some amount of momentum of one sort or another.  All superstrings always have some sort of tense of inertia.  All superstrings bear some genus or format of kinematic-based interaction.  This is based upon a certain geometric set of conditions that I will here discuss now.  Inertia is a constant force that acts upon all particles.  All superstrings are connected to each other in some manner or another by mini-string when such superstrings are not frayed.  Mini-String segments are branched out through the general physically-based condition of tree-amplitudes.  A tree-amplitude is -- in the eluded to arbitrary case that I am here referring to -- the branching out of mini-string segments that exist in-between superstrings, the branching-out of which here works to allow for all superstrings to be interconnected in one manner or another throughout the Overall-space-time-continuum.  The Constituency is a term that I often use to represent the Overall-space-time-continuum.  All inertia and all momentum come from the general physical activities of wave-tug and wave-pull.  Wave-tug and wave-pull is the general format of conditions that works to define that force that exists in the Constituency that begins all action.  These actions include all inertia, momentum, and kinematic-based relationships.  Let us say that the mini-string segments that connect to a superstring are here, in this given arbitrary case, to directly push on a directly corresponding superstring via the mentioned mini-string segments -- in such a manner that the eluded to substringular field that thus exists due to the just discussed situation pushes directly upon the said superstring in a taut manner that has insignificant slack in the fractal-based modulus of the said mini-string segments.  This condition works to cause the differential geometry of the directly eluded to substringular neighborhood -- that here includes the said mini-string and the said superstring -- to bear a condition that applies a wave-tug and/or a wave-pull upon the Laplacian-based holomorphically directed holonomic substrate in an abelian manner.  If part of the local mini-string segment branching that is here being discussed is taut as previously mentioned, while part of the local said mini-string branching that is here being discussed is instead relatively bearing a lower scalar magnitude of fractal modulus, then, the wave-tug/wave-pull that will here be applied by the mentioned substringular field upon the said superstring will then be of a partially abelian genus.  Abelian geometry has both an abelian momentum, an abelian inertia, and, an abelian genus of kinematic-based interaction.  Non-Abelian geometry has both a non-abelian momentum, a non-abelian inertia, and a non-abelian genus of kinematic-based interaction.  Partially abelian geometry has both a partially abelian momentum, a partially abelian inertia, and a partialy abelian genus of kinematic-based interaction.  I will continue with the next session later!  Sam.

Part Two Of The Course About Stringular Transformations

So, the location and the position of a given arbitrary superstring that is just as the superstring that was there before-- in the same position during the previous iteration of instanton -- is maintained and therefore appearing to be an invariant superstring for a while, yet, this is conformal to the activity of one superstring in an indistinguishably different manner as it is being replaced by another superstring that is of the exact same morphology in this case, as it occupies the same location and position that the initial superstring had had in the directly previous moment.  Sometimes, a group of such superstrings and their related Planck-like phenomena are indistinguishably replaced after one or more iterations of instanton.  This maintenance of appearance/detection -- in spite of the actual change -- is a form of conformal invariance, since the situation here doesn't detect a change at a glance -- even though this is conformal to an extrapolation that may work to confirm the condition of the said indistinguishable replacement.  Session 4 later!  Sam.

Part One Of Session 3 Of Course 13 About Stringular Transformations

One and two-dimensional superstrings are often in static equilibrium.  When a one-dimensional string or a two-dimensional string seems to come back to the same spot with the same positioning, the string that is actually at the last mentioned locus is not the same superstring that was there at the said locus during the directly prior iteration of instanton in this given arbitrary situation.  What happened is a case of indistinguishable replacement.  Indistinguishable replacement is when it appears that a certain phenomena is existing at a certain spot over a given extrapolated duration, while yet, the phenomenon that was initially at a said locus is replaced from one moment to the next by a phenomenon that is identical yet different from the initial phenomenon.  An individual one-dimensional string or an individual two-dimensional string must always spatially differentiate after each successive iteration due to the condition that discrete energy must constantly be moving per instanton in order to actually be a form of energy.  So, when a one-dimensional string or a two-dimensional string seems to be stagnant after two successive iterations of instanton, the string's positioning and location have been replaced by another respective one-dimensional string or two-dimensional string that works to cause these discrete units of energy permittivity to form a conditional response of the stringular iteration here to be a form of superconformal invariance.  Superconformal invariance is the condition of substringular phenomena to be relatively strong in terms of the genus of how tightly-knit the distribution of the said substringular phenomena is at over a certain period of time.  This is also considered conformal invariance because the initial superstring that occupied a certain location and at a certain positioning has gone elsewhere, yet, the net effect of the given one or two-dimensional string is maintained.  I will continue with part two of this session later!  Sam Roach.

Session 2 Of Course 13

Strings always differentiate kinematically over any given arbitrary Fourier Transformation from one specific positioning to another, per successive iterations of instanton.  Each time a superstring comes back to an iteration of BRST, it is in a different position and/or in a different spot than it was in in the previous iteration of BRST. Strings that undergo homostasis in an equilibrium are constantly changing in position and locus during each ensuing iteration of instanton -- particularly after each individually considered iteration of BRST.  This is true, no matter how restrained the condition of conformal invariance may happen to be for any given arbitrary superstring that is to be considered here.  Yet, if the given superstrings are truly in equilibrium, then, the general activity of the said strings does not change -- in spite of the fact that the directly prior conditions will still hold as true.  Thus, the general activity of the given superstrings that are were just eluded to is relatively invariant, yet, the given superstrings are constantly changing in some sort of redelineation in one way or another after each successive iteration that these said strings are associated with.  This process of relative change of strings -- in spite of how tightly-knit the locus of their successive repositioning may be -- is a potentially relatively invariance that is conformal. -- That is, to say, the change of the said superstrings when in terms of their redelineation works to produce an equilibrium of an activity that transpires on a larger scale.  Change is constant.  Differentiation is even more constant, since it may be either non-time-oriented or time oriented -- depending on the specific circumstance.  Yet, strings are said to be conformally invariant when these involve a constant tense of limited Lagrangian projection per kinematically-based codifferentiation over a given arbitrary time period.  Sometimes, superstrings are conformally invariant in one tense, while yet being relatively more variant in another tense of consideration.  Let us take for instance a certain quantum of light that is projected into pure water.  The photons of the said light scatter to an extent when the said light strikes the mentioned water.  The superstrings that work to comprise the mass of the waater thus have some intrinsic characteristics of variance over time.  Yet, the light travels in what would here be the path of least resistance through the water -- rather than going through the path of least distance.  The bending of the said light -- as well as how and to what degree the light slows down while going through the water -- acts as according to Snell's Law.  As the mentioned light adjust to moving through the water discussed here, the light -- although being in less of a condition of conformal invariance -- will still bear a certain tense of conformal invariance.

Part Two Of The First Session Of Course 13

At the Poincaire level in relation to a partition along the topological mapping of a superstring, a first-ordered point particle is over to the side of the general topological contour of the said one-dimensional superstring by a distance of the diameter of one first-ordered point particle. So, the said point particle at the mentioned Poincaire-based locus is just to the side of the general linear basis that works to describe the mapping of the Laplacian-based construction of the said one-dimensional superstring's contour.  When a one-dimensional superstring is in an arced form, the said partition that is here being considered in this given arbitrary case is just to the side of the normal flow of the said superstring's topological flow.  Two-Dimensional superstrings in their respective world-tubes have a minimum of two of such partitions -- a minimum of one that is relatively vertical-based at at least one genus of Poincaire delineation and a minimum of one that is relatively horizontally-based at at least one genus of Poincaire delineation.  So, with two-dimensional superstrings, there is at least one partition of which is basically centered at its norm-to-holomoriphic Laplacian-based position during BRST and there is at least one partition of which is basically centered at its norm-to-reverse-holomorophic Laplacian-based position during BRST.  The most essential partition of a one-dimensional superstring is roughly in the middle of the locus that here refers to its delineation within the distribution of the mapping of its contour.
One-Dimensional superstrings have a conformal dimension of 2^(1/10^(43), and, two-dimensional superstrings have a conformal dimension of 1+2^(1/10^(43)).  I will continue on later!  Sam Roach.

Part one of Session One Of Course 3 About Stringular Transformations

One-Dimensional superstrings are substringular vibrating strands of discrete energy permittivity.  Substringular vibrating strands are ideally relatively straight, except for those loci in which there are what I term of as partitions.  One-Dimensional superstrings that sinusoidally arc may be made to bear more of a topological condition of a straight Laplacian-based mapping by excentuating more of a tense of conformal invariance upon the region in which the here considered given arbitrary superstring is kinematically differentiating in, over what is here to be a tightly-knit Fourier Transformation.  Take, for instance, a one-dimensional string of the kinetic energy of an electron that is here traveling at close to the speed of light.  This said one-dimensional superstring is arced tremendously in several loci along its topology in a Laplacian-based mapping that may be extrapolated as sinusoidal in terms of the differential geometry of the said mapping.  Let us say that the said electron is slowed tremendously to the point of being virtually at rest in this current scenario that I am now starting to describe.  The given one-dimensional superstring is then put into a position to where it may be loosely straight to a relative degree from what the Laplacian-based mapping of the topological trajectory had, prior to the mentioned initial condition of the same said fermionic superstring.  The only aberration now in straightness of the given one-dimensional superstring is the condition of its one or more partitions that work to comprise the said superstrings topological mapping at a snapshot of its overall Poincaire-based  composition.  This said one or more partitions are separations from the normal flow of the topological holonomic substrate that works to comprise the make-up of the Laplacian-based mapping of the said superstring.
I will continue with the second part of this session later!  Sincerely, Sam Roach.

What Is Life

Physical mind that is not purely metaphysically based is founded upon energy that is either ATP for carbon based life, or some form of electrodynamic energy for silicon based life, or both for androids, that is delivered to either a biological, robotic, or android-based neuron-like phenomena via synaptic-like phenomena through the existence of chemicals that either are dopamine or related to the substrate-based concept of dopamine, in such a manner that the life form discussed bears a Tesla-based electrodynamic frequency that is ebbed to and from the given entity in such a manner so as to form thought waves. Thought waves are based on the abelian delineation of reverse-magnetism electrodynamic propagation that is invisible, although extremely real. Thought waves that are based on non-abelian delineation are more founded upon a forward-magnetic electrodynamic propagation  of wave-based energy that is also invisible.  Thought waves that are based on a partially-abelian delineation of electrodynamic propagation are founded on a cross between forward and reverse-magnetism that is also invisible.  Thought wave that are founded upon a cross between a reverse-magnetism and forward-magnetism form a given arbitrary common entanglement.  Thoughts do not just stay in the brain and body -- they go outward and effect things -- even though such activity never makes one invincible.  Any life form that bears a basis of ATP that is displayed phenotypically by an exterial Tesla Energy that is kinematic upon its environment has at least some control over its environment.
Now Life is the activity of a phenomena with at least some mind characteristics that is able to some degree to overcome the entropy that surrounds it.  The transmission of thought waves may be considered analogous to the transmission of radio waves.  I will continue with the suspense later!  Sam Roach.

The importance of gauge-metric

Phenomena has to move to exist.  Gauge-Metric is the topological Laplacian Poincaire Ward conditions that integrate through the Fourier Conditions of substringular multiplicit group metrics that must exist in order for superstrings to have the ability to move through space, and, therefore, be the energy that is necessary for reality to exist. Simply, a gauge-metric is a duration that happens in less than a discrete unit of time.  We notice time when the corresponding superstrings are basically at a standstill.  The integration of a successive series of group instantons (codifferentiable discrete units of time) works to form the flow of motion that acts -- via those holonomic substrates that move to display the corresponding inter-kinematics of such energy -- in such a manner in so as to form that energy that makes up space-time-fabric.  Superstrings are the discrete units of energy permittivity. Permittivity is the ability of phenomena to continue to move through space. If discrete units of energy could not move, energy would cease to exist. Without energy, there would be no light, nor would there be any mass. When superstrings circle the Ultimon many, many times, these phenomena (superstrings) lose some of their permittivity. The process that causes superstrings to regain the permittivity that these need in order to remain energy so that energy may exist is known as a Gaussian-Transformation, which is usually a gauge-transformation. Simultaneously, Gaussian Tranformations help Fadeev-Popov-Trace eigenstates to regain the discrete impedance that these need in order for energy to exist at all, too.  Energy impedance is the steadying of energy permittitvity that is necessary in order for energy to not resonate and then shatter. The initial situation is that gauge-transformations eventually lead to entropy. Yet, there is a way of limiting gauge-transformations to those that just allow for substringular permittivity without allowing for excess entropy. Entropy is essential for at least the change of physical states. I will say no more of this. The reason that energy started and still persists comes down to the existence of the Higgs Action. The Higgs Action is the main operator that allows for Gaussian Transformations.

The Basis As To The Need For Gaussian Transformations

  The actual motion of gluons causes the existence of the Wick Action. The Wick Action is an arbitrary example of a Hausendorf Projection. The activity of the Wick Action causes the Landau-Gisner-Action to move in such a manner so as to produce the leverage operation known as the Fischler-Suskind-Mechanism. The Fischler-Suskind-Mechansim moves the Higgs Action in the proper directoralization so as to move Klein Bottle eigenstates to the proper loci so as to allow for the Kaeler Metric. The Kaeler Metric allows for Gaussian Transformations. Gaussian Transformations allow for changes in norm-conditions that are necessary for the spontaneous kinematic differention of Fourier Transformations. Gaussian Transformations that directly involve the activity of Njenhuis tensors that act upon these in the process of the covariant translation of phenomena that are going through an arbitrary Gaussian Tranformation always involve the scattering of electromagnetic energy and/or the activity of entropy. Such Gaussian Transformations are known of as gauge-transformations. So, whenever there is a change of physical state and/or wherever light strikes something, there is a gauge-transformation.  The Kaeler Metric allows for superstrings to reattain discrete energy permittivity, as well as allowing the field trajectory of the mentioned superstrings to reattain discrete energy impedance. If the directly prior did not happen, discrete energy would not exist. The Kaeler Metric always involves a Gaussian Transformation. The activity of the reatainment of discrete energy permittivity and the activity of the reatainment of discrete energy impedance produces alterations in the covariant displacement that are involved in the kinematic Fourier Translation of superstrings so that the sequential series of the integrated redisplacements and redelineations of superstrings may differentiate among each other without interfering with other of such activities of other superstrings. So, the Higgs Action is not only essential for the interaction of E.M. with other phenomena and the existence and kinematic differentiation of entropy, yet, the Higgs Action also allows for the covariant redistribution of superstrings among each other without the condition of superstrings interfering with each other's space.
God Bless You, and you have a great day! Sincerely, Sam Roach

Part Three Of The Solutions To The Last Test Of Course 12

10) A fermionic superstring has a fractional spin because it has an anharmonic mode of vibratorial oscillation at both the individual iterations of group instanton -- as well as over the whole general cycle of Ultimon Flow.  An odd plus an even is an odd.  It is the sequential series of the generally unnoticed durations of Ultimon Flow as having an even integrative pulse that works to define the said fermionic superstrings as obeying the conditions of existing as an even function.  The pulse of a fermionic superstring during the course of BRST averages at an exactified locus -- where the Imaginary Exchange of Real Residue acts upon superstrings in the manner that this does.  So, over the cycling of a fermionic superstring during a general eigenmetric of Ultimon Flow, a fermionic superstring obeys the conditions of acting as an even function -- and is thus actual.

11)  A bosonic superstring has a whole spin because it has an overall spin-orbital-based vibratorial oscillation genus that is harmonic. An even plus an even is even.  Such a determination of a superstring -- as obeying the Hamiltonian operation of an even function -- is based on the sequential series of vibratorial oscillation of a superstring that is here integrated into a format of metrical isomorphism that bears an ordered genus of Christoffel connections.  This is on account of the condition that the anharmonics of a bosonic superstring during the generally unnoticed portion of Ultimon Flow converges -- over the corresponding sequential series of the directly related gauge-metrics -- into a determinable harmonic mode.  This works to determine the actuality of the motion and existence of the said bosonic superstrings.  A superstring averages at an exactified locus over BRST -- when taken over the course of the individually-based eigenstates of the Imaginary Exchange of Real Residue.  What duration works to determine the Real Reimmanian-based chirality of a superstring is the Fourier-based course of action of the said superstring as it is redelineated in such a manner in so as to work to determine its ensuing locus of distribution -- in so long as the superstring is not frayed.  Thus, the harmonic format of a superstrings during instanton -- particularly over BRST -- works to determine the genus of the said superstring's mentioned harmonic mode.  It is Cassimer Invariance that works to help with those exchanges that allow substringular fields to be recycled without being frayed.  I will start Course 13 soon!  Sincerely, Sam Roach,.

Part Two Of The Solutions To The Last Test Of Course 12

6)  Fermionic superstrings oscillate around the generally unnoticed portion of Ultimon Flow in a harmonic manner.  This is in terms of both the condition of the partials of its construction when in terms of their delineation -- as well as the pulse of their spin-orbital-based vibratorial oscillations that are here occurring in a harmonic manner during the said respective general format of group metric mentioned in this case.  The sequential series of such spin-orbital vibratorial oscillations forms an even harmonic mode over the said generally unnoticed portion of Ultimon Flow, due to the condition that Ultimon Flow differentiates kinematically as according to a basis of an even function.

7)  Bosonic superstrings oscillate during the generally unnoticed portion of Ultimon Flow in a spin-orbital vibratorial manner that is anharmonic.  This is in terms of both the delineation of the partials of its physical construction during the said duration, as well  as in terms of its pulse over the same said mentioned duration.  The sequential series of such spin-orbital vibratorial oscillation works to form an even harmonic mode during the said generally unnoticed duration of Ultimon Flow due to the condition that Ultimon Flow exists as according to a basis of an even function.

8)  At the iteration of group instanton, fermionic superstrings vibrate anharmonically, when in terms of both the partial components of their homotopic construction lacking isomorphism at their generally noticed depiction, and, also, in terms of the pulse of the said vibrating strands over the course of the iteration of their holonomic substrate during the directly corresponding iteration of group instanton.

9)  Bosonic superstrings vibrate harmonically during their iterations of group instanton, when in terms of both the isometric partial components of their homotopic construction being ordered, and also, in terms of having an even pulse of a vibratorial oscillation that happens over the same said duration of group instanton -- in which these said bosonic superstrings are partaking of.

What Bears The "Most" Orphogonation -- Just a Reminder

There are three sets of parallel universes.  There are 48 tenses of each general format of orphoganation -- 2pi goes into 96pi 48 times.  This means that there are 16 sets of orphoganation in terms of the tense of the general format of orphoganation that exist in each set of parallel universe that exists in the space-time-continuum.  Each tense of the said general format of orphoganation that exists bears its own basis of Real Reimmanian Gaussian-based spacing when in terms of their covariant-based Hamiltonian  operational indices -- this of which works to organize as to what spaces are real when relative to one another, and, what spaces, instead, bear a Li-Algebra basis that is Njenhuis to one another.  The more Njenhuis the covariant chirality that one space bears, in terms of the dual Ward conditions of orphoganation that two different spaces bear relative to one another, then, the greater the disparity of format that the two covariant spaces bear when one considers the one toward the other.  So, the more remote the tense of the general format of orphoganation is, when this condition of  "relative remote" is of one space that inter-relates different superstrings that are relative to one another in orbifolds -- that here respectively consist of one or more superstrings -- then, in a sense, the more of a disparity of orphogantion that the first given arbitrary space has toward the second one that is here given as such, respectively.  I will continue with the suspense later!  Sincerely, Sam Roach.

Part One Of The Solutions To The Last Test Of Course 12

1)  A one-dimensional superstring of discrete energy permittivity normally vibrates anharmonically as an individual whole partial eigenstate of its general topological construction, when in corelation to each of the respective mentioned partials & also when in terms of the pulse of the spin-orbital oscillation of the said one-dimensional superstring during BRST.  The said one-dimensional string vibrates harmonically by the inverse of such a "token" as it is traversing through that portion of Ultimon Flow that is outside of group instanton.

2)  A one-dimensional superstring has a slight tendancy towards becoming tachyonic if it has a slight build-up of swivel-like-shaped contours as part of its homotopic-based construction and/or if the said one-dimensional superstring here acquires a slight build-up of arc-like-shaped contours as part of its homotopic-based construction.

3)   A one-dimensional superstring has a strong chance of becoming tachyonic if it not only bears the added conditions of having a large build-up of both swivel-shaped topological contours and arc-shaped topological contours along its homotopically-based construction, yet, also, if its directly corresponding light-cone-gauge eigenstate is compactified.  A compactified light-cone-gauge eigenstate is a condition in which the relatively forward-holomorphic-based Lagrangian that is in the direction of the general directoral-based path of its ensuing kinematic-based trajectory is abridged in a Laplacian-based manner from its usual scalar amplitude of holonomic projection over the course of BRST.

4)  A two-dimensional superstring may become slightly tachyonic if part of its hoop-like vibratorial-based topological construction bears a significant swivel-like-shaped and/or an arc-like shaped contorsioin -- in terms of the permutations that would here exist along the homotopical-based topology of the said superstring, in such a manner that the said permutations that would here exist would work to differ from those of a regular Noether-based bosonic superstring, when in terms of a comparitive steady-state vibrating hoop of discrete energy permittivity that may be dually mapped in a covariant manner during the BRST portion of the same respecitve duration of group instanton.

5)  A two-dimensional superstring may become very tachyonic if it not only bears significant swivel-like-shaped and/or arc-like-shaped homotopically-based contorsions along the topological-based construction of its general contour, yet, also, if the said bosonic superstring also has a compactified light-cone-gauge.  A  compactified light-cone-gauge is a condition in which the relatively forward-holomorphic-based Lagrangian that is in the path of its ensuing directoral-related trajectory is here abridged in a Laplacian-based manner from its usual scalar amplitude of holonomic projection during BRST.
I will continue with the rest of the test solutions later!  Sincerely, Sam Roach.

To Answer Many Of Your Questions

The harmonics mode of the vibratorial oscillation of a superstring during the generally noticed duration of instanton is related to the format of its spin. For example, if a superstring bears a harmonic mode during BRST, then, the said superstring will be said to have a whole spin. Yet, if a superstring bears an anharmonic mode during BRST, then, the said superstring will be said to have a fractional spin. Bosonic superstrings are closed strings. Closed superstrings that are not heterotic are two-dimensional superstrings. Fermionic superstrings are open strings. Open strings are one-dimensional superstrings. Fermionic superstrinigs bear an anharmonic mode of vibratorial oscillation when in terms of the pulse of their spin-orbital indices during BRST. Fermionic strings are said to have a fractional spin. Bosonic superstrings bear a harmonic mode of vibratorial oscillation when in terms of the pulse of their spin-orbital indices during BRST. Bosonic strings are said to have a whole spin. During the generally unnoticed duration of Ultimon Flow, fermionic superstrings bear a harmonic mode of vibratorial oscillation when in terms of the pulse of their spin-orbital indices over the period of the said general format of duration mentioned here in this sentence. Also, during the generally unnoticed duration of Ultimon Flow, bosonic strings bear an anharmonic mode of vibratorial oscillation when in terms of the pulse of their spin-orbital indices. Yet, the sequential series of the vibratorial oscillations of both the respective one and two-dimensional strings bears an even metrical isomorphic flow of pulse that works to form a basis of an even function for both substringular formats.  This is related to the concept of Christoffel connections, in a metrical tense.  Superstrings average at one basic location during BRST.  The said superstrings are taken as a snapshot basically during the said BRST.  The integration of a successive series of these "snapshots" forms the motion that forms the energy of space-time-fabric.  Superstrings, though, have more to do with the angular momentum of discrete energy, while, their directly corresponding Fadeev-Popov-Traces have more to do with the spin-orbital momentum of discrete energy. Yet, to some extent, every physical phenomenon bears at least some sort of angular momentum, and, every physical phenomenon bears at least some sort of spin-orbital momentum. The drive of a phenomenon through a directoral-based Lagrangian is the general operation of a tense of angular momentum. The shaking-like wave-tug/wave-pull of a phenomenon through a directoral-based Lagrangian is the general operation of a tense of spin-orbital momentum. The angular momentum of superstrings and the spin-orbital momentum of Fadeev-Popov-Traces works to relate the basis as to how the various spaces and sub-spaces of the substringular inter-relate in either a Real Reimmanian-based Gaussian or in a Li Algebra manner, while, the spin-orbital momentum of superstrings and the angular momentum of Fadeev-Popov-Traces works to relate the basis as to the covariant-based parity that exists among the various spaces and subspaces in the substringular. Again, superstrings are discrete units of energy permittivity, while, Fadeev-Popov-Traces are discrete units of energy impedance. Hold onto your hats, and, I will continue with the suspense later! Sam.                                          

A Certain Cycle

When certain norm-state projections work to allow for an abridgement upon the relatively forward-holomorphic Lagrangian-based directoral wave-pull that exists for certain second-ordered light-cone-gauge eigenstates as the just mentioned eigenstates are compactified in what is to soon become a basis for a potentially tachyonic conversion from what was initially a Noether-based substringular scenario, there is a certain recycling that involves the redelineation of certain homotopically-based mini-string segments that are redistributed from one general relative-based locus to another general relative-based locus that exists at a substringular region that is local to the general substringular neighborhood in which the said light-cone-gauge eigenstate and its corresponding superstring have here existed at.  This redistribution -- that here helps in allowing for an activation of a certain Wick Action eigenstate -- works to complete a cycle that starts, in a way, with the plucking of second-ordered light-cone-gauge eigenstates in so as to form vibrations that travel along the Rarita Structure in so as to allow gravity to take into effect.  The activity of gravity works to help allow for the various kinematic motions of certain norm-state projections that are necessary, for one thing, for the conversion of an electron's remaining energy to become discrete increments of electromagnetic energy.  This is the beginning as to what I have to say about a lot of things in future courses.  This is a heads up.  I will continue with the suspense later!  Sincerely, Sam Roach.

As To The Related Workings For An Abelian Geometry

Superstrings -- one or two-dimensional -- that bear a Kaluza-Klein light-cone-gauge topology, bear a supplementally directed Laplacian-based mapping of their second-ordered light-cone-gauge eigenstates over the course of BRST.  This causes these second ordered eigenstates when as taken as individual holomomic substrates to be relatively straight in terms of their theoretically Laplacian-based projection during BRST.  Yet, in reality, such eluded to projections curve hyperbolically over the course of BRST due to that Clifford Expansion that is related to the activity of the Polyakov Action.  So, the compactification of a Kaluza-Klein light-cone-gauge topology is then the abridgement of the scalar amplitude of the relatively forward holomorphic Lagrangian that is directly related to that general directoral pull that a directly corresponding superstring is to move into during the generally unnoticed duration of Ultimon Flow.  This is given as to what world-tube the directly corresponding superstring is in directly prior to the end of the directly related iteration of group instanton.  Any mass that behaves as a mass during the course of group instanton bears a Kaluza-Klein light-cone-gauge topology.  Masses may convert into having a Yang-Mills topology as these become tachyonic, while yet returning to having a Kaluza-Klein light-cone-gauge topology once these return back to moving as is according to Noether Flow.  So, masses may be translated into going faster than light (or, as fast in some cases), yet, a mass as a mass can not actually go at the speed of light.  This is a matter of converting the format of an eigenbasis of light-cone-gauge topology from one genus of abelian nature to another genus of abelian nature.  The activity of the compactification of any light-cone-gauge eigenstate is spontaneous when mini-string holonomic substrate is threaded-out of the general field of the given arbitrary light-cone-gauge eigenstate that is to be compactified.  Such an unthreading is made possible by the activity of certain Campbell-Hausendorf and/or Hausendorf norm-state projections that act upon certain zero-norm-state projections in a multiplicit manner in so as to pull certain inter-twined mini-string segments in a homotopic manner out of the general core field of the given arbitrary light-cone-gauge eigenstate that is to be compactified.  When a light-cone-gauge topology is compactified, the tendancy of a conversion of local phenomena into a tachyonic mode is increased.  Such a tendancy is one means of which one is capable of triggering one or more Wick Action eigenstates to start the process of a Gaussian Transformation.  Such a dual tendancy here is due to the necessity of the existence of a certain amount of entropy in order for the needed perturbative activity that is necessary for certain scattering amplitudes that may allow for the existence of converting the light-cone-gauge when in terms of its genus of abelian geometry.  I will continue with the suspense later!  Sincerely, Sam Roach.

Christoffel Connections

The metrical interbinding of the harmonic and the metrical interbinding of the anharmonic gauge-quantizations that form what is an overall harmonic vibratorial oscillation for bosonic superstrings and an overall anharmonic vibratorial oscillation for fermionic superstrings bears an interconnection of gauge-metrics that come together over a directly related general genus of Fourier-based conditions that may loosely be considered a tense of what is termed of as Christoffel connections.  This considers the condition of the isometrical condition of the motion of the generally unnoticed portion of Ultimon Flow as acting as an even function of distributional transition.  I will continue with the suspense later!  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 15 To Course 12

Two-Dimensional superstrings of discrete energy permittivity generally iterate during the BRST portion of instanton as basically round-shaped structures.  A two-dimensional string may iterate as basically arc-like-shaped circular-based vibrating hoop of discrete energy permittivity.  A two-dimensional superstring may iterate with any number of arcs that curve simisoidally, yet, are not vibrating in a smooth manner during the said course of iteration.  A two-dimensional superstring may also occasionally iterate with arc-like shapes that are directly associated with these that are sequentially normal while yet fairly sinusoidal in terms of the Laplacian-based mapping of the topology of the mentioned two-dimensional string when over the course of their delineation during the said iteration.  Two-Dimensional strings generally iterate with arcs -- when one considers the theoretical versus the actual -- that are sequentially sinusoidal and supplemental, when such a description of this condition of their topological mapping is in terms of their Ward-Caucy function that here involves that given arbitrary Hamiltonian operation that such superstrings display over the course of the directly affiliated duration that these are differentiating in over a given arbitrary iteration of group instanton.  With the condition that I have described here that is in relation to two-dimensional superstrings that here work to form discrete units of energy permittivity, such a vibratorial oscillation will here happen in a smooth manner during instanton -- in so that the directly related oscillation is going to here be smooth in the corresponding harmonics -- the said vibratorial oscillation will here be of a harmonic nature during the said iteration.  Again, this is indirectly why bosons have a  whole spin. The Ward function mentioned here works to describe the directly related Caucy bounds of the eluded to transpirational topology of such a correlative two-dimensional superstring.  This is just as the affiliated condition that the Ward function of the boundary conditions of a one-dimensional superstring works to describe the Caucy bounds of the eluded to transpiratonal topology of a given arbitrary one-dimensional superstring.  When the flow of a superstring's motion, and, when the flow of the pulse of a superstring as it is moving is smooth in all of the changes of derivatives that equal in scalar quantity to the number of dimensions that the said given arbitrary superstring is kinematically differentiating in, then, the Fourier-based projection of such a superstring is said to be of a hermitian nature.  Such mentioned Ward-Caucy bounds here include the combined Derichlet and Neumman bounds of a superstring -- as well as boundary conditions that may involve up to many other situations that relate to alterior changes in the derivative of the kinematic projection of any given arbitrary superstring.  The Neumman bounds of a typical two-dimensional superstring include the bounds of where a given arbitrary strings may be physically differentiating as a Laplacian-based topological holonomic substrate that may be mapped in a multilicit manner in so as to work to determine the composition of a substringular locus that is localized in a relatively tight region.  The Derichlet bounds of a typical two-dimensional string include the bounds of where the given string differentiates in in terms of the vibratoiral oscillation of the point particles from its ideal state as basically a round-like shaped vibrating hoop of discrete energy permittivity.  As the said string is sai to be more shaped as a permutated oval than usual, when indirectly due to a compactification of the Yang-Mills indices that directly correspond to the Ward-Caucy bounds of the given stated two-dimensional string, then, the given string has more of a chance at becoming tachyonic.  As the arcs that are basically sinusoidal, that are of the two-dimensional string, are sequentialy normalized over a Gaussian Transformation, then, the given string then has more of a chance at becoming tachyonic.  As the Yang-Mills indices are compactified from within the differentiating Ward-boundary region  -- while also the directly associated arc-like-shaped topological structures of a given arbitrary two-dimensional string exist with a significant Hodge-based scalar quantity, then, the arcs, of which are basically sinusoidal and are sequentially normalized, that are of the given string, has a big-time chance at becoming tachyonic. This is merely considering those arc-like-shaped torsionings that are homotogically Poincaire to the general  topological locus of a given arbitrary superstring. Compactified Yang-Mills indices are when the forward-holomorphically-based Lagrangian as to the general directoral-based pull that a given arbitrary superstring is to utilize via a light-cone-gauge eigenstate is shortened in terms of its scalar amplitude over the course of BRST.  Such a shortened Lagrangian Hamiltonian operand of the general field of  the light-cone-gauge eigenstate of a superstring as such works to effect the spring-like acitivity of any directly associated light-cone-gauge eigenstate.  This is because such a shortening increases the "K" of the "springing," of which increases the directly related perturbation-based condition of the said general field.  This does NOT mean that the topological fractal modulae of the directly related second-ordered light-cone-gauge eigenstates are to be increased in terms of scalar amplitude.  I will "Catch You Two!"  Sincerely, Sam Roach.