Non Orientable Superstrings And A General Tense Of Anharmonic Vibration

When the individually taken superstrings of discrete energy, that work to comprise any one given arbitrary mass-bearing orbifold eigenset, are to bear a holomorphic vibration in an anharmonic manner in so as to be taken here in an odd number of spatial dimensions, at a general point in duration that is here to occur, both right before and right after any one given arbitrary iteration of BRST, that these said superstrings are here to be directly affiliated with, then any general example of such an inferred individually taken string, that is here to be of such an orbifold eigenset, will consequently tend to become of a non orientable nature, both during the directly corresponding Betti Action, and during its immediately subsequent directly affiliated Regge Action (to where there will here exist a covariant-related condition, to where the field that is here to exist from in-between the correlative superstring and its directly corresponding counter string, will not be of a homeomorphic nature).  This will then tend to result in a condition, by which such a said mass-bearing orbifold eigenset, will then tend to immediately ensue, in so as to go from initially being of a Noether-related flow, Into then resulting to go into an ensuing tense of a tachyonic-related flow.  I will continue with the suspense later!  To Be Contiued! Samuel David Roach.

"Nijenhuis" Perturbations

When an orbifold eigenset is to be brought into a tachyonic flow, -- the multiplicit i*PI(del) Action, that is here to be directly corresponding to the nature, as to what is here to be happening to the partition-based discrepancies of those superstrings of discrete energy permittivity, that work to comprise the said orbifold eigenset, -- is here to perturbate out of a homeomorphic delineation.  This then works to act, like a "Nijenhuis" tense of a Cevita Action.;  However, -- when an orbifold eigenset is to be brought out of a tense of a tachyonic flow, in so as to be brought back into a tense of a Noether Flow, -- the multiplicit i*PI(del) Action, that is here to be directly corresponding to the nature, as to what is here to be happening to the partition-based discrepancies of those superstrings of discrete energy permittivity, that work to comprise the said orbifold eigenset, -- is here to perturbate back into a homeomorphic delineation.  This then works to act, like a "Nijienhuis" tense of a Wess-Zumino Action.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam.Roach.

Cohomological Pumping And Tachyonic Flow

The condition of cohomological pumping, eludes to that general genus of activity -- that happens during any given arbitrary case of tachyonic flow.  This is even though the general condition of tachyonic flow, is not the only case to where there is to be a tense of cohomological pumping.  At a general fractal of a tense -- cohomological pumping, eludes here to the general condition of Ultimon Flow.  Ultimon Flow works to help at explaining as to how both the conditions of tachyonic flow and the conditions of quantum leaps are able to be possible.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Noether Versus Tachyonic Cohomology-Based Conditions

If an orbifold eigenset is operating as having a Noether-based flow -- the resultant cohomology that it will bear, will tend to be of a Real-Reimmanian-based nature.  Yet, if an orbifold eigenset is operating as having a tachyonic-based flow -- the resultant cohomology that it will bear, will tend to be of a Njenhuis-based nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little Tid Bit About Course 16

Both one and two-dimensional superstrings of discrete energy permittivity are vibrating thread-like phenomena that oscillate in one general manner in so as to operate as one given arbitrary genus of a Hamiltonian-based function, and these oscillate in another general manner in so as to operate as another given arbitrary genus of a Hamiltonian-based function, etc... .  So, this is true of both vibrating strands of discrete energy, and, also for vibrating hoops of discrete energy.  As I have so stated before, superstrings generally move kinematically in a tendancy of Noether-based flow over time.  The closer that a superstring is to moving in the direction of and/or becoming of a tachyonic-based nature -- in which such a directly associated superstring will then act in less of a manner that would otherwise be more similar to a Noether-based flow -- then, the scalar amplitude of the degree of the perturbation of the topological homotopic substrate that works to act as that disturbance that acts as the just eluded to general condition of superstring, will be of a more swivel-based fluctuation -- along the variation of the parameters that would here appertain to the here intrinsic spatial delineation of the topological sway of the so-stated superstring that would here be of a more perturbative topological-based vibrational oscillation.  This is since the condition of a tachyonic superstring is a significant perturbative-based tense that devolves from the general condition of a Noether-based flow.  This would then mean that, as any given arbitrary superstring is altered in so as to work to become of a tachyonic-based flow, then, the relative degree of the then inherent perturbation in the condition of the directly associated superstring, as being a relatively place-wise disturbance in space -- that is re-delineated per the sequential series of the iterations of group instanton, that integrate in so as to form the flow of multiplicit motion that works to form the general entity of energy -- will be of a hightened scalar amplitude.  Logically speaking on the otherhand, as an initially tachyonic superstring works to become of a more Noether-based flow over time, the relative degree of the scalar amplitude of the perturbation of the vibrational oscillation of the relative disturbance that works to form the just eluded to superstring will be lowered to a more conformally invariant manner, over the just eluded to duration of group metric that directly relates to the said general manner of activity.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part Four of the Fourth Session of Course 16

The specific regions in which a Calabi interaction happens is known of as a Calabi Manifold. The set of activities or metrics that happen from within the Ward-Caucy bounds of where a Calabi Manifold is occurring -- when such a given arbitrary region is undergoing the eluded to Calabi interaction -- is known of as a Calabi-Metric.  The activity, or, in other words, the metrical activity, of the Klein Bottle -- as the just mentioned Klein Bottle (which is made in the structural format of a Schotky Construction) is facilitating the operation of a given arbitrary Gaussian Transformation eigenstate -- is the metrical duration that is known of as the Kaeler Metric.  When a Kaeler Metric involves a specific genus of a Gaussian Transformation that is known of as a gauge-transformation, the said genus of Kaeler Metric that is then here in the process of occurring is known of as the eluded to Calabi Metric.  A gauge-tranformation is that genus of a Gaussian Transformation of which directly involves those changes in norm-based conditions that have to do with the scattering of electromagnetic energy. Whenever electromagnetic energy scatters to any degree, such a scattering forms discrete units of what is known of as entropy, or, in other words, such an activity has to do with the formation of discrete units of that genus of physical disorder of which works to allow for certain things -- such as the ability of physical states to change from one format of physical state to another, to occur. (For instance, things are only able to melt if there is, at least to some degree, some amount or level of local  entropy existent.)  As I will later mention and describe in course 20, gauge-tranformations differ in their format of Gaussian transformation due to a torsioning in the Klein Bottle that I will get to describing more when I write-out that specific course material.  World-Sheets that directly appertain to ghost anomalies that work to map-out a Calabi Manifold are known of as a Calabi cohomology. The more homogeneous, or, in other words, the more smoothly distributed, a Calabi cohomology is, the better chance that there is for a less perturbative anharmonic scattering of relatively forward-holomorphic norm-states -- by relatively reverse-holomorphic norm-states, in the process of the breaking-down of ghost anomalies.  So, a Noether-based flow of superstrings works to bear more of a chance of a homogeneous distribution of ghost anomaly-based indices than a tachyonic-based flow of superstrings.  Again, this appertains to the condiiton that a relatively abelian pull upon those norm-state indices that work to be harmonically delineated, in so as to form ghost anomalies, will tend to bear more of a hermitian-based anharmonic scattering -- when the eluded to ghost anomaly-based indices are broken-down by relatively reverse-holomorphic norm-state projections.  Part of this tendency is due to the condition that substringular activity tends to bear a Noether-based flow.  The varied degrees of Noether-based flow, that involves virtually all motion, are due to the varied degrees of increase and/or decrease in the activity and the capacity of the conformal invariance that phenomena exhibit.  Tachyonic motion happens a lot, yet, it is relatively rare -- compared to the tendency of Noether Flow.  The condition of a relatively small amount of scattering of the ghost anomalies of the substringular encoders per time works to help allow for the tendency of an adequate amount of the spontaneous  "Gaussian ellimination" of excessive ghost anomalies -- to the amount that is necessary.  Yet, a certain amount of the scattering of the ghost anomalies of the substringular encoders is necessary in order for the various superstrings of discrete energy permittivity to be able to sufficiently branch-out along the Ultimon.  I will continue with the suspense later, by starting the fifth session of this course!  Sincerely, Samuel David Roach.

The Last Session To the Test Solutions To the Second Test Of Course 12

7)  The potential plane of a one-dimensional superstring is liklely to be orientable  -- and act as according to Noether Flow -- if these bear a relatively taught vibratorial oscillation that has no significant swivel-like shapes, and/or if these have no significant arc-like shapes.  Otherwise, such one-dimensional superstrings are more likely to not be orientable -- thereby, these would here be more likely to alter into moving into a tachyonic mode.

8)  As arced one-dimensional supsertrings continue to reiterate at a differentiable locus that obeys Noether Flow, its thence eluded to added scope of kinematic topological variance will increase its potential for interacting with alterior Njenhuis tensors, these of which here may add leveraging upon the said strings that have the ability of making the said strings unorientable.  An unorientable superstring becomes tachyonic.  So, the longer that an individual given arbitrary superstring bears a significant arc-like shape -- and/or a significant swivel-like shape -- the more that it not only may increase in the corresponding scalar projection of such a general condition, yet, also, the more likely that such a superstring may become tachyonic.

Some Relations Between Static Force and Flow

The fractal of a static friction that exists as the entity of the oscillating discrete permittivity along the topology of superstrings works to act as the modulae that works to allow superstrings to be able to move through the Hamiltonian operands through which the said strings move in order to go from one spot to another.  The fractal of a kinetic friction that exists as the entity of the oscillating discrete impedance along the topology of Fadeev-Popov-Trace eigenstates works to act as the modulae that works to allow the mentioned discrete units of energy impedance to be able to move through the Hamiltonian operands through which the said phenomena of discrete energy impedance move in order to go from one spot to another.  When a superstring becomes more of a "swivel"-like shape, the mentioned fractal of static friction that acts as a holonomic substrate bears less of a holomorphism of blockage when in terms of the Hamiltonian operand in which it is projected through, allowing such a superstring to be less inhibited by the amplitude of the Ricci Scalar via the entity of the Rarita Structure.  This lack of physically-based inhibition works to allow less of a graviational limitation to the directly related superstring, thereby producing more of a potential for a conversion fom Noether Flow to tachyonic flow.  The inverse condition that directly relates to the lack of inhibitions of certain given arbitrary Fadeev-Popov-Trace eigenstates likewise works to allow less of a limitation for the eluded to discrete units of energy impedance from keeping these from moving into a state of tachyonic flow.  The more that a superstring is swivel-like shaped, the more of a tendancy for its directly related Fadeev-Popov-Trace eigenstates to also become tachyonic over the same duration in which these directly link in such a manner that these may be converted from a Noether Flow into a tachyonic flow.  So, the less the fractal of static friction in superstrings, the less the fractal of kinetic friction in its corresponding Fadeev-Popov-Trace eigenstates.  This goes for both bosonic strings (closed strings) and fermionic strings (open strings).  I will continue with the suspense later!
Sincerely, Sam Roach.

Why is it called the Light-Cone-Gauge

The light-cone-gauge works to cause that springing form of activity that pulls superstrings into that portion of Ultimon Flow that happens in-between individual iterations of group instanton -- allowing for both the tendancies of Noether Flow and tachyonic flow.  This allows for all motion, length, and mass of massive objects -- all motion -- to be relative to the existence and the motion of light.  The light-cone-gauge forms a cone-like general field per eigenstate of discrete energy during the Polyakov Action in general -- via the directly elluded to Clifford Expansion that happens to the mentioned field-like delineation of the said light-cone-gauge during BRST on account of the said gauge's interaction with their corresponding superstrings during the said Polyakov and Bette Actioins during BRST.  The light-cone-gauge works to gauge where superstrings are to be delineated to next after each succcessive iteration of group instanton.  This is part of why the light-cone-gauge is called the light-cone-gauge.  We notice time when superstrings are basically at a standstill.  The integration of the successive series of group instantons works to form that flow of motion that forms -- via the physical entities of the various substringular phenomena -- the kinematic activity that exists as the energy that forms the space-time-continuum.

An Idea About Force

Here is an idea that may tend to describe a force at the most viable micro level:
The kinematic effect of the directoralized motion of the integration of the vibrational indices of the respective individual Chi-based structures of Fadeev-Popov-Traces, to where, the resulting sequential series of the discrete energy impedance indices that the motion of the said Fadeev-Popov-Traces form, integrate to allow for a field trajectory of discrete energy permittivity so that energy may be able to oscillate enough to remain as energy -- period.
Every phenomenon that exists as an entity that is directly observable -- whether in motion or in a standstill -- is comprised of superstrings that are kinematic in a manner that is anywhere from in a state of superconformal invariance, in a state of merely conformal invariance, in a state of being semi-spuriously displaced, in a state of an alterior-based delineatory perturbation, in a state of electromotive pulse, and/or, in a state of tachyonic flow over the course of a sequential series of instantons.
All of the prior mentioned conditions invove angular momentum -- since all physical phenomenea is energy.  Mass is energy in static equilibrium.  So, all tangency of pressure and/or pulse involves an effect of interactive angular momentum -- whether such an action of relatively macro-wave-tug is globally mobile or stationary.  So, all pressure and/or pulse involves a directoralized interaction that may be either multiplicitly codifferentiated, multilateral, entropically delineated, or, in some cases, unitarily delineated upon the motion of a reverse-fractal-based Gliossi tangency that allows the pulse of the tug of one relatively macro-based phenomenon upon another.  
Sincerely, Samuel David Roach. 

The Substringular As To How the Universe Expands

The expansion of our universe -- as well as the exapnsion of all of the universes --  may be described as the expansion of where superstrings iterate.  After and in-between each instanton, superstrings cycle the Ultimon in the process of coming back to either basically the same spot that these were in during the directly prior instanton in cases relating to Noether Flow, or, to a relatively different spot than these were at during the directly prior instanton in cases relating to Tachyonic Flow.  So, in the earlier part of our physical space-time-continuum's existence, the various layers of reality when considered in one set of universes as can be described by the Bases of Light that these existed in during any given arbitrary time in the past, existed closer to one another due to the condition that the distribution of where the iterations of the corresponding superstrings were at had happened in a more tightly knit      region than these are at now as compared to the any prior generally described period of time -- now that our universe has expanded to more of a degree than it had in the past.  This is true in each of the three sets of parallel universes when taken into consideration individually.  Yet, when one considers the three sets of parallel universes taken as a whole in terms of 32pi I degrees of Laplacian angle of one set of universe's Bases of Light relative to an adjacent set of parallel universes, the mentioned Bases of Light that exist as the superstrings expand in spacial distribution as the universes expanded when taken per "space-hole" metric when the Bases of Light happen in-between each instanton yet right before each instanton-quaternionic-field-impulse-mode happen flushly from one set of universes to another.  In this manner, space-time-fabric has expanded over the ages via an expansion of the region where the superstrings iterate over time.  The prior is true for both the location of the Bases of Light in positive moving time as well as in negative moving time.  Also, the flushness of the Bases of Light -- of which happen in-between each instanton yet right before each instanton-quaternionic-field-impulse-mode -- bear the foundations of each layer of reality in such a manner so that each Bases of Light from positive moving time is flushly exterior to each Bases of Light from negative moving time.  You see, there are twelve overall world-tubes -- two for each positive moving time region for each of the three sets of parallel universes and two for each negative moving time region for each of the three sets of parallel universes.  Each individual Bases of Light, if unfrayed, is adjacent to its paring Bases of Light in their respective world-tubes.  The two adjacent world-tubes mentioned are interconnected via the equivalent of a relatively large annulus that makes these said tubes appear as one overall tube except for the existence of changes in concavity in the central outer surface area of the virtual overall tube that makes the two dual tubes exist, in a sense, as two tubes.  Perfection in humans is a falacy, yet, I am describing what I see in my mind as best as I can.
I will continue with the suspense later!  You have a phenomenal day!  Sincerely, Samuel David Roach.          

A Little Bit About Changes In Symmetry

A superstring that is orientable differentiates kinematically via Noether Flow. A superstring that is not orientable differentiates kinematically via a tachyonic flow. A superstring is orientable when the substringular field eigenstates that are first-ordered and supplementally norm between a given superstring and its corresponding counterstring are trivially isomorpphic in terms of the connections in-between the associated superstring and its corresponding counterstring as caused by the Bette Action, and if the delineatory amplitudes of these said connections have the same scalar distribution when considering all of the said first-ordered substringular field eigenstates, even if the Hodge distribution among the said field eigenstates is not homogeneous and therefore not integrably hermitian during the Laplacian condition of the given instanton in which the associated Bette Action is occurring through its described gauge-metric. If a superstring is not orientable during the Bette Action, the superstring described will attempt to become orientable during the subsequent gauge-metric of a given Regge Action via a Regge Slope that "totters" the associated superstring in an attempt to obtain the multiplicit trivial isomorphism and a common homogeneous and delineatory amplitude that bears a supplementally norm abelian nature that retains the Noether Condition of the said superstring's wave-tug. (This is via a simultaneous internal push-and pull that is exterially projected along the ultimon.) If a superstring is strill orientable during the Regge Action, then the associated superstring becomes tachyonic. This is an example of how a lack of substringular super-symmetry may effect the differential operation of that superstring over a simple Laplacian Transformationm which, if such a condition is integrable over a sequential series of iterations that is non-trivial gauge-metric-wise, will form a Fourier Transformation that involves a superstring that is tachyonic and thereby perturbative relative to its general condition of Noether Flow. Such a perturbation effects the matrix of the delineatory index of the involved orbifolds that are directly effected by this tachyonic multiplicitly integrable distribution. Since the anharmonic multiplicit redistribution of a kinematically unorientable superstring flows differently then the surrounding Noether Conditions, and Noether Conditions are the kinematic delineatory means of maintaining the norm conditions that allow for a sustained covariant Gaussian Symmetry, the Fourier Transformaion involved with a tachyonic flow will produce change in Gaussian Symmetry either via a regular Gaussian Transformation or via a gauge-transformation, the latter of which is the substringular cause of entropy.                


Sincerely, Samuel David Roach. samsphysicsworld@blogspot.com.