A Heads Up About Course 16 For Course 11

Consider a two-dimensional plane that has a trace that is displaced within it over time.
The said trace is in motion over a Fourier Transformation in a general arbitrary three-dimensional field, the motion of the trace of which moves in a common pattern during the initial part of the duration of the eluded to metric.  Since the direction of the motion of the displaced trace over time is here arbitrarily considered in the z(k hat) directoral mapping format, the trace produces singularities per eigenmetric of the overall motion of its Fourier-Based mapping.  Since this said trace only vibrates, in this case, in the two general dimensions that are not in the same general directoral-based mapping that relates to the axial of the direction of the said trace over time, the related singularities that are produced are related to a condition of hermicity that is here not spurious.
Now, consider the previously mentioned trace to be that of a superstring that takes into consideration its directly neighboring field in a smooth manner that bears no jointal-based curvature -- and this trace also bears no cusps.   The oscillation of the trace is here of an even harmonic mode that bears no change in acceleration or deceleration.   The said hermtian motion that I had described would also be on the Real-Reimmanian-Plane.  Thus, the condition of the motion of such a trace would, from the vantage-point of the immediate stringular field's neighborhood, not be spurious.  Such a trace is here said to be Yau-Exact.
I will continue with the suspense later!
Sincerely,
Samuel David Roach.

Another Introduction To Course 11, Orbifolds

Superstrings that are of the same universe are going to tend to be within orbifolds, in which all of the superstrings of any given arbitrary orbifold that is of the said universe will more than likely be superstrings that are of the same universe as well.  I apologize for the redundancy, yet, I want to make this particularly clear.
Orbifolds often have pseudo-cohomologies that inter bind different orbifolds that are each of different universes that only have the orbifold of -- in our case -- our universe -- detectable within the means of any reasonable first-hand scientific simple extrapolation.  This is because although all of the universes of one set of parallel universes are very near each other from within what we would term of as a small scope of scalar distance, and, there is residue of all of the universes in kinematic space-time-fabric that is right near each of the other kinematic actual universes.  Yet, superstrings that are not of the same universe do not share a common Li Algebra Genus of Gaussian-Based spatiality.  Therefore, to a life form of a given arbitrary universe, an orbifold will tend to -- within any detection at first glance -- be comprised of superstrings that are all of the same universe.  Cohomoligies are the inter binding of the topology of substringular phenomena.  So, the mapping of an orbifold tends to map the manifold or membranal-like structure of a set of superstrings of one given arbitrary universe that acts as a relatively organized group of such substringular phenomena.  I will continue with the suspense later!  Sincerely, Sam.

An Introduction To Course 11, Orbifolds

Superstrings associate with other superstrings all of the time.  All superstrings interact in some fashion or another in-between each duration of instanton.  (See some of my recent past posts.)  In-Between each iteration of group instanton, there is a general activity that I term of as Ultimon Flow.
As a general tendency, superstrings tend to directly associate with other superstrings that are adjacent to the initial given arbitrarily mentioned superstrings that I referred to in this sentence.  Superstrings tend to move in "packs" that involve adjacent phenomena that are comprised of such superstrings that move together as a group through either a tense of tachyonic flow, a perturbation, a smooth free-flowing kinematic motion, a conformal invariance, or a superconformal invariance.  The basis of having definitive groups of superstrings that move in groups over time is known, at the smallest organizational level of such related groups, as orbifolds.  Orbifolds are tantamount to manifolds or membranes of substringular phenomena that are a foundation of what I term of as orbifold eigensets.  An orbifold eigenset is, here, one genus of substringular group-like format that is one level above an orbifold.  Most sub-atomic particles that are studied are comprised of orbifolds and/or orbifold eigensets.  This is just an introduction to what I term of as Course Eleven of my views on superstring theory -- which is about orbifolds.  I will continue with the suspense later!
You have a phenomenal day!
Sincerely,
Samuel David Roach.

The Function of the Regge Action

The focus of the function of the Regge Action is the bringing together of all of the superstrings and the Planck-Related phenomena of mainly the predominant layer of reality in such a manner so that the holonomic substrate of such phenomena may thread through the orifaces that loop in such a manner -- through Ultimon Flow -- so that these may be brought back to the spot where the duration happens that I call the setting of the Bases of Light.  During this setting of Bases, all of the individual layers of reality have the topological substrate of their respective Planck-Related phenomena huddled in groups, along with their corresponding superstrings adjacently undergoing the virtual break in homotopy that I call the space-hole, the binary-set-based groups of which equal in number to the existent number of layers of reality that exist in the here given arbitrary scenario of the set of parallel universes that one choses.  (Although, during one specific group instanton, all three sets of universes will have the same number of layers of reality.)  The function itself of the Regge Action is to get superstrings into the "swing" of Ultimon Flow.  Yet, the directly prior inter binding of substringular phenomena, so that it may enter what I call the Main Heterotic Stringular Fabric, happens in such a manner so that point commutation may associate all three sets of universes in-between individual durations of instanton so as to be the focus of this function.  This way, superstrings may not only be encoded as to where to go next in less of a chaotic manner, yet, also, this way, superstrings here will not have to leap instantaneously from one spot to another with no space in-between.  This needs to be the case in order to allow for any hermicity at all.  Without smooth motion, there would be no hermicity, and nothing would then be able to ever come together.  Yet, obviously, there is some smooth-curved motion.  Therefore there is hermicity.
Therefore, phenomena moves in metrics that go down to infinitesimal durations that are much smaller than discrete units of time. Therefore, since light-speed is limited, and also, the Planck-Length is limited, phenomena -- appearing to jump from one spot to another -- must have something at least extremely similar to what I describe as Ultimon Flow happening in-between group instanton iterations in order for the needed hermicity to exist.  Please see my last post -- as well as other posts that you may chose.  By the way, the layers of reality that are not predominant in the course of what is to be the general setting of the directly associated group instantons that we are here discussing are brought together during the Regge Action -- although these anterior layers of reality do not, in this case, cycle the Ultimon via the manner that the predominant layer does.  Only the predominant layer of reality cycles through all three sets of universes in-between the individual corresponding group instanton iterations.  What determines what the layer of reality is is defined by the activity that happens during the setting of the Bases of Light.  The Bases of Light happens right before the the instanton-quaternionic-field-impulse-mode.  This last mentioned mode happens right before instanton.  So, what is made the predominant layer of reality once it has changed during a setting of an eigenmetric of the Bases of Light works to define what and when that layer is what it is -- based on the interaction of what we would call superstrings with their encoders.
Sam.

Another Practical Application For Singularities

When there is a change in concavity, there is a change in the second derivative.  When there is a change in the second or more derivative of a curvature that has enough spatial dimensions so that the Laplacian-based mapping of the traversal of the said curvature is not spurious (the curve is smooth thru out the mapping), then, the curve is said to be hermitian.  This means that, if you have a two-dimensional plane, and there is a change in both the first and the second derivative, the curve can possibly be smooth.  Yet, if there are more changes in derivative than the number of dimensions that one is considering in a given mapping of a given curvature, then, it is impossible for the said mapping to be hermitian.  When there is a change in the second derivative, then, the limit does not exist from one side to the next of the related locus where the change happens to be specifically at.

So, whenever there is a change in concavity -- or more of a change in a derivative (relating to a jointal condition here) -- there is what is known of as a singularity.  

Singularities imply the existence of infinity, yet, as an entity -- infinity is nothing that is physical or tangible.Yet, infinity must exist in order to sustain the existence of the stuff that is tangible.

My belief is that both the physical and the metaphysical are both subtended in the vastness of infinity.

The infinitesimal must be able to exist in order for motion to not jump around sporadically.

If motion jumped around sporadically, then, there would be no smooth motion.

If there was no smooth motion, then, there would be no hermicity.

Without hermicity, the motion of the Fujikawa motion would snap at the attempt to form a photon, and thus, light would have never been produced.  Yet, obviously, light exists.  Therefore, it is obvious to me that gauge-metrics go down to the infinitesimal -- way smaller than a discrete unit of time.

Consider allegorically, a cartoon (please bear with me, I have a major point).  

After many frames, the cartoon forms an animation.

Consider that during the BRST portion of each instanton, superstrings are basically at a standstill.

In-Between the durations of each individual instanton, the substringular goes through Ultimon Flow.

The integration of the successive series of instantons forms the motion that interacts as energy.

Please read some of my other related posts.

I will continue with the suspense later!

Sincerely

Samuel David Roach.

A Correction To The Biggest Mistake On My Blog

I meant to say that the limit as the natural log approaches 0 from the positive side toward the negative side is positive Imaginary infinity, while as the natural log approaches 0 from the negative side toward the positive is negative Imaginary infinity.
Obviously, when one is cognitive of what one is saying, the natural log as it approaches 1 from 0 to 1 is what may be termed of as an Imaginary (0+), while, when the natural log approaches (-1) from 0 to
(-1), one is approaching what one may term of as an Imaginary (0-).
Non the less, the rest of the concept that I was trying to detail, previously, was apparently no mistake.
Sorry for the confusion.
Sincerely,
Samuel David Roach.

More About The Njenhuis Characteristics of Point Commutators

As to various given arbitrary point commutators that associate with each other, the different tenses of imagination that is associated with one set of point commutators relative to another -- in terms of two respective sets of point commutators that exist in two different respective universes -- works to allow these point commutators to be oriented in what tends to be an indirect manner, via both any arbitrary given Laplacian manner, as well as via any arbitrary given Fourier Transform that these may be associated with.  This is true in either a respective "snapshot" as to what is going on as well as any consideration of the mentioned point commutators over a transient period of time.  Such a covariant codifferentiation, when in terms of the respective tenses of imagination, being the basis as to why conformal repulsion localities exist in the manner that these exist in.  This works to help cause the general locus of the corresponding tori-sector-ranges that the said sets of point commutators belong to during a relatively limited number of covariant simultaneous instantons, via a Laplacian-based mapping through a centrally-based conipoint, to bear what I term of as an Imaginary Discrepancy.
Any free points -- known of as zero-norm-states -- whose conformal based dimension is zero -- work to allow these point commutators to terminate the what would here be a local tense of superconformal invariance.  This termination works to allow the said point commutators to always -- during the self-same set of group instantons that involve these, to bear condensed oscillation, as the zero-norm-states that these are here existant as -- during the said group metric -- bear inexact and non-linear differential associations both via a Laplacian setting during the individually related instantons as well as over the directly associated relatively very limited Fourier Transformtion that I have here been discussing.  The mentioned conformal repulsion locality recently mentioned works to flush the two mentioned sets of point commutators through different parallel universes aptly, once the said superconformal invariance is spontaneously ended in the mentioned case. This will happen more abruptly when regular magnetism is applied to these, whereas, if reverse magnetism is applied fairly directly to the two covariantly codifferentiable sets of respecitve point commutators that have been mentioned here, then, the general locus of the two sets of said point commutators that are here of two sets of universes will more likely remain in a tense of superconformal invariance for a longer time, and thus, will here tend to remain in their two respective different -- yet relatively close in the substringular -- universes.  The format of the applied magnetism, as well as how it is directed, works to effect the outcome of the delineation and also the re-delineation of the mentioned covariant codifferentiable sets of point commutators that have here worked to allow for the continuation of the static equilibrium of their most directly associated superstrings,these points of which  have here worked to allow superstrings to be continuous at moving through a certain given arbitrary sequential series of instantons.
I will continue with the suspense later!
Sincerely,
Samuel David Roach.

A Little Addendum As To The Directly Previous

The tendancy of the general operation of Noether Flow is the baic manner that superstrings "like" to move in -- unless an outward source directly interacts in such a manner so that such a tendancy is not held due to phenomena being perturbated out of it.
The tendancy of Noether Flow does not include the initial activity that happens in the specific locus of photons in the first 384 instantons after these have struck another phenonenon, even though photons, when detectible, move slower when moving through a medium that is not either a vacuum or a contorsionable spatial entitiy.  Yet, outside of the two prior conditions, Noether Flow is the general tendancy as to the format of the operation of the motion of superstrings.
This is why point particles, when these are effected in a certain general manner by reverse-magnetism, not only tend to remain in the same universe that such a given arbitrary situation of superstrings started in under the initial conditions that I had mentioned, yet, such point commutators also tend to not be tachyonic unless these are perturbated upon by an outside source.
Point commutators, since these work to allow for the motion of superstrings through Ultimon Flow, tend to have the general flow of the superstrings that these are most directly affiliated with.
The directly previous statement is only considering a relativlely transient period in which the condensed oscillation of the mentioned given arbitrary point commutators is indistinguishably the substrate that works directly with their corresponding superstrings.
The condensed oscillation that comprises point particles of the first-order is constantly being recycled in a manner that is indistinguishaly different.
Such recycling works to allow a continual exchange of norm-states to ground-states and back.
Such a continual exchange works to allow for that Cassimer Invariance that works to allow electromagnetic energy to bear its relativity condtitions upon superstrings, in a manner that does not fray superstrings.
Special relativity works to effect the abelian conditions of superstrings so that the fractal modulae of superstrings is not overstrained.
This is why, although superstrings of mass may be translated faster than light, these mass-bearing strings may not actually go faster than light as a mass.
The condition of tachyonic propulsion is the condtition of a temporary alteration of the topology of the local light-cone-gauge for a certain limited quantum of mass-bearing superstrings that is brought back to its original abelian topology.
The temporary tachyonic motion of superstrings that are undergoing a Calabi interaction is not what I mean by a tense of tachyonic propulsion.
A mass as a mass bears a Kaluza-Klein topology.  (Abelian).
A mass is translated as a massless phenomenon going in a tachyonic manner only when bearing a Yang-Mills topology.(Non-Abelian).
A mass, when slowed under light speed, bears a Kaluza-Klein topology. (Abelian).
Light and kinetic energy bear a Yang-Mills topology.(Non-Abelian).
As an anzantz, a vast majority of the velocity of a worm-hole is the contorsioning of space, and not tachyonic propulsion, yet, tachyonic propulsion still exists.
Sincerley,
Samuel David Roach.

Some More as To The Nature of Norm-States

Fock Space point commutators exist in spaces that may be described, given their correlative Laplacian Transforms, as relatively inexact and nonliniear.  Thus, these type of point particles flush through parallel universes over relatively transient sets of instantons on a regular basis.
Fock-Based point commutators also generally flush around their respective individual set of parallel universes as their corresponding Real Reimmantian-based point commutators work to help superstrings to go through the main cycling of Ultimon Flow.  The main cycling of Ultimon Flow is that duration that exists in-between individual durations of group instanton, yet, such as with Fock Space point comutators, Real Reimmanian-based point commutators generally only cycle through that set of world-tubes -- during the mentioued Ultimon Cycle -- that correspond to their set of parallel universes.  Thus, both Real Reimmanain-based and Fock Space related point commutators, during a sequential series of instantons, not only eventually recycle indistinguishably into superstrings, yet, such point commutators tend to cycle through multiferrous universes that are of their set of parallel universes, on a regular basis.  This differs from the tendancy of superstrings to generally remain in their own individual universe.  This does not even touch upon the alteration of what layer of reality one is physically in.  As said before, the most recently pronounced layer of reality that has been activated is goint to be the predominant layer of reality during any given arbitrary cased that one is considing during a covariant sequential series of instantons.  The course of phenomena that tend to cause point commutators to generally stay in their own individual universe is magnetic manipulation -- generally, the manipulation of reverse-magnetism -- when such a magnetism acts upon point commutators that exist in one specific universe.  This scenario involves point commutators that are involved with superstrings during a relatively brief duration, and, this activity of the said magnetism works to help cause the mentioned point commutators to remain in the initial universe that these phenomena were at under the initially elluded to instant under consideration.  Such magnetic manipulation works to cause the given arbitrary point commutators, if not tachyonically manipulated during the same general sequential series of group metrics, to return back to a similar general substringular locus per group instanton, as may be denoted by the tendancies of Noether Flow.  If the mentioned reverse-magnetism is applied overtly in the prior elluded to fashion, yet, in a manner that produces significant tachyonic perturbation, then, the directly related point commutators will tend to stay in the initial universe that these were in right before the said application of magnetism, although these will not obey Noether Flow here. Yet, if a worm-hole works to act upon a set of point particles under a given arbitrary case scenario, then, the contorsioning of space that will happen here will be apparent by the torsioning of a macro-quanta of point commutators that operate as a basis of tachyonic-based Fock and Real space-based re-delineation.  This will happen in such a manner that phenomena that enter the said worm-hole will be brought to a totally different place and time in a potentially instanteous-lilke manner. 
I will continue with the suspense later!
Sincerely,
Samuel David Roach.

A Little About An Actual Clifford-Degeneration

Once the Polyakov Action is completed in a given arbitrary superstring during an instanton, the superstring that is here being discussed is going to go into either the gauge-metric known of as the Regge Action, and/or the said superstring is here about to go into the respective gauge-metrics known of as a Kaeler-Metric eigenmetric while then going into the Regge Action -- right before the mentioned superstring is to go into the part of Ultimon Flow that happens in-between two successive instantons that directly affiliate with the globally distinguishable iterations of the said string.
Let's say here that the given superstring is about to go into a Kaeler-Metric eigenmetric right after an iteration of BRST.  So, once the Clifford Expansion that happens, in refference to the light-cone-gauge eigenstate that is relevant here, occurs with respect with the initially mentioned given arbitrary superstring, then, as the said superstring recontracts back into what would be considered as a full substringular contraction, then the mentioned superstring enters the directly associated Klein Bottle in which the string undergoes an eigenmetric of the Kaeler-Metric  Then, the initial Clifford Expansion, that had just happened during the course of BRST, collapses harmonically in proportion with the recontracting of the said superstring -- that is Dirac in proportion to the tensoric manner of the reverse-contraction that the superstring.  This happens as the said superstring undergoes the process of expanding to the inverse of the extent that the superstring appears to us to have had contracted from the length that the said superstring would have had if it had been relatively "motionless" relative to light speed.  Such "degeneration" is not observable in the globally distinguishable, since it happens right after BRST, and thus, the mentioned degeneration does not anharmonically effect the fractal nor the elastic modulae of the directly inter-related light-cone-gauge eigenstates.  Such a degeneration is the compactification of the volume of the outskurts of the periphery of where the directly related light-cone-gauge eigenstate had stretched out here, right before the mentioned superstring recontracts back to a maximum contraction -- just as it starts to enter the inter-relative Klein Bottle eigenstate.  Sincerely, Samuel David Roach.
I will continue with the suspense.

Some More About Norm-States

There are basically countless first-ordered-point-particles in the regions that exist from within any given arbitrary Gliossi-Sherk-Olive-Ghost entity, yet alone how many second and third-ordered point particles that exist in the same general form of region.  Point-Commutators that are not of Fock-Space often consist of relatively scrambled positive-ground spaces from superstrings that exist under such a condition in-between the metrical conditions of individual instantons.  Point-Commutators that are of Fock-Space are never -- during the same identical group instanton -- directly part of a superstring until the condensed oscillation that works to form such point commutators is recycled back into the general locus of the corresponding first-ordered-point-particles that integrate in a Laplacian-based manner to form the holonomic entity of a superstring.  Point-Commutators that are not Fock, yet are not directly part of a superstring during any given arbitrary instanton, often work to form "positive"-zero-norm states.  (Since it is here not a negative-norm-state, I chose the positive corelation.)  Such norm-states are often organized into projections that have the capacity of working to help cause the initialization of the starting and the finishing of a type of Yakawa Coupling that is here known of as a Fujikawa Coupling.  Fujikawa Couplings are the process of the conversion of a fermionic superstring that is here a discrete unit of the kinetic energy from an electron into a bosonic string that is known of as simply a photon -- via the Greene Function.  Such zero-norm-projections also work to initialize the beginning of the process of those interactions that exist between Schwinger Indices -- along the Rarita Structure -- and the Wick Action, in so that the format of the inter-related Gaussian Transformations may be initialized.  Point-Commutators may also be comprised of as the holonomic entitiy of the positive-norm-substrate of positive-norm-states.  (The directly prior may be considered as an ansantz.)  Positive-Norm-States not only work to form the physical  memory of superstrings via the formation of ghost anomalies, yet, these positive-norm-states also help in the function of working to get superstrings to be tugged along from out of BRST and the Regge Slope into the general format of the metric of Ultimon Flow that exists in-between the metrical duration of the general condtion of instanton.  Such added wave-tug adds as a subtended hold upon superstrings so that such strings may be balanced enough to flow out of the condition of BRST with enough of a basis of organization to be effectively kinematic, by providing the mentioned superstrings with positional stability over the "time" that exists in-between the metrical durations that exist in-between instantons.  Sincerely, Samuel Roach.

A Little As To World-Tubes

The following knowledge is on the nature of superstrings.:  One main world-tube is near another main world-tube.  Each of the prior mentioned world-tubes is conprised in part by one and two-dimensional superstrings.  Each one-dimensional superstring that I just mentioned bears a two-dimensional field.  Each two-dimensional superstring that I recently mentioned bears a three-dimensional field.  So, two-dimensional superstrings form world-sheets that bear a minimum of three spatial dimensions, while one-dimensional superstrings form world-sheets that bear a minimum of two spatial dimensions.  Both one and two-dimensional superstrings work to form world-sheets via the physical  mapping as to where these said strings were at -- in terms of what had happened in the substringular in the relatively transient past, relative to where the said superstrings are at in terms of their simultaneaous position aver a set conimetric.  The just mentioned world-sheets are differentially associated to each other as a function of their degree of covariant kinematic codifferentiation.  The positive-ground-states that here exist in the form of partitions are arranged at the center-state of the linkages that are binding, via the toroidal-like nature of the related world-sheets that are formed by the mapping of the trajectory of the said related superstrings over a sequential series of instantons.  The kinematic re-delineation of superstrings works to form the locus of their inter-relative covariant codifferentiation over time.  This post works to show -- to a mild extent -- the inter-relationship type of basis of every superstring, in some form or another, toward all of the other stings over time, and, time is the interaction of phenomena over a sequential series of instantons.

Some More About BRST

The Bette Action and the Polyakov Action happen during the same general metric, per instanton.
Both the Bette Action and the Polyakov Action happen during the BRST portion of instanton.
The Bette Action works to help allow for superstrings to be orientable.  If a superstring is neither orierntable during both the Bette Action and the Regge Action -- when in pertainance to any given arbitrary superstring over the course of one particular instanton -- then, the superstring will be tachyonic over the course of the ensuing instanton.
The Polyakov Action works to reverse contract superstrings to the inverse extent that the corresponding superstrings are Lorentz-Four-Contracted during BRST.
Right after BRST, if a given arbitrary superstring is to undergo the Kaeler-Metric during the inter-related instanton, the related superstring re-contracts as it falls into the corresponding Klein Bottle eigenstate that it is to enter during the gauge-metric that is here related to a partial activity of a corresponding Gaussian Transformation.
If the prior mentioned superstring is not to undergo the Kaeler-Metric over the course of the corelative instanton, then, the said superstring simply goes into the Regge Action right after the corresponding metric of BRST.
If a superstring is to go thru the Kaeler-Metric, then, the Regge Action happens for half of the duration that it would otherwise take to do so.
If the prior said superstring is to undergo the Kaeler-Metric, then, the said superstring will go thru the given eigenmetric from the moment that it leaves BRST to the moment that it goes into the Regge Action for half of the duration of metric that it would normally take to go thru the Regge Action.
The Polyakov Action works to methodically convert superstrings into a relative assortment of point commutators.
The Regge Action organizes both the result of the Polyakov Action and the result of the Bette Acton so that the related superstrings may be facilitated to go thru the rest of Ultimon Flow over the course of what is here to be the cause of the ensuing iteration of kinematic flow in so that the next instanton may happen.
Gotta Run!  I will continue with the suspense later!  Sincerley, Samuel David Roach.

Time Flow

Time moves both backward and forward at the same time. 
This is because time is more granular than fabric.
Phenomena that happens that is more indellably integrated into the collective consciousness cannot be changed, while, phenomena that happens that is not cognitively imbued in the collective consciousness may potentially be altered.
I call the tendancy of the latter the concept of Major Reality Changes.
Once in a while, 1/10,000 of past and future realities alter.
There is, to a certain degree, an intermingling of layers of reality.
The activated layer of reality is the one that is predominant in the multiplicit array of all of the universes of a set of parallel universes.
When a reality change happens in one universe, all of the universes in all three sets of parallel universes undergo the basis of a Major Reality Change in their own individual manners.
Each type of universe changes via such an alteration of both past and future realilties in a different way.
Once Tau is capable of reiterating, the prevailant reality is the overall definitive reality for each of the individual universes in Overall Space-Time.
I will continue withe the suspense later!
Sincerely,
Samuel David Roach.