Gaussian Transformations Versus Kahler-Metric

I have often mentioned as to what Gaussian Transformations are, in leu of what it means to when a discrete quantum of energy is Gliosis to the Kahler-Metric.  Here is the difference between what each of these two ideas are, as I have tried to describe.  Gaussian Transformations refer to the condition of Hamiltonian operators of space -- relating to the existence of other Hamiltonian operators of space -- in so as to make room for the multiplicit Hamiltonian operators of space, so that spatial eigenstates may be able to freely move around enough, in order for spatial eigenstates to be able to both persist and exist over time.  Discrete quanta of energy being Gliosis to the Kahler-Metric, refers to that general activity that is to happen -- in order for those fractals of discrete energy to be re-attained by substringular eigenstates of energy, so that discrete energy may both persist and exist over time.  What I have just mentioned as the general "activity" of Gaussian Transformations is necessary, because space needs to often be "sturdied-up" in order for Hamiltonian operators of space to be able to viably relate to each other.  Furthermore, what I have just mentioned as the general activity of superstrings being Gliosis to the Kahler-Metric -- is necessary, because even though discrete energy is theoretically fully efficient, it actually is extremely close, yet not literally, 100 percent efficient.
I will continue with the suspense later!  To  Be Continued!  Sincerely, Samuel David Roach.

Gaussian Transformations Versus Gauge-Transformations

When there is to be a Gaussian Transformation anywhere in the substringular realm-- to where this of which, what I mean of here in this case -- is when a given arbitrary set of one or more superstrings of discrete energy permittivity is most Yukawa to the Kahler-Metric, -- then, the said respective given arbitrary set of superstrings that are to here be undergoing such a Gaussian Transformation -- are to here both be working to re-attain their needed fractals of discrete energy quanta in order to both exist and persist as discrete energy quanta, as well as to here be working in so as to move in the qualitative direction of having the Ward-Caucy-based conditions of a more ordered proximal localized spatial tense, over the directly correlative and applicable sequential series of group-related instantons, through which such a so-stated set of one or more superstrings are to be undergoing such a said Transformation.  Furthermore -- a gauge-tranformation, as I describe it, is general genus of a given arbitrary Gaussian Transformation -- that is to here be directly involving those eigenindices of discrete energy quanta, that are to be most Yukawa to the process of the scattering of electromagnetic energy, over time.
Later in this course as to the nature of Calabi-based interactions, I will explain further -- the differences as to how the respective proximal local eigenindices of the correlative group-metrics of certain Fourier-based Transformations -- that are to here be most directly related to the Kahler-Metric -- are to behave differently in the case of a gauge-transformation, versus how such so-eluded-to eigenindices are to behave in more of a case of a more preverbial translation of other of such Gaussian Transformations that are to happen in the substringular elsewhere, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Ideas As To The Effect Of The Higgs Field

When a given arbitrary photon that is of one orbifold eigenset of electromagnetic energy, strikes another superstring of discrete energy permittivity in a Glioisi-based manner -- over a sequential series of group-related instantons, -- the so-stated given arbitrary individual photons, of which will always (as photons) be of a bosonic nature (closed-loop and two-dimensional), will tend to "bounce" from one general directoral tense of a relative holomorphic motion, to a reversal of its said directoral tense of relative holomorphic motion, -- until the so-mentioned respective given photons of which had just scattered upon a topological-based holonomic substrate, are re-quantized back into its ensuing correlative orbifold eigenset of electromagnetic energy, that the said photon is to then be incorporated into next.  When a superstring of discrete energy permittivity perturbates -- in so as to go from one general holomorphic-based directoral flow into a relatively reversed general holomorphic-based directoral flow -- this general genus of activity works to form what is known of as an antiholomorphic Kahler condition.  The region in which  such a Kahler condition is to happen, may be viewed of or called a Kahler Manifold.  When an antiholomorphic Kahler condition happens, the so-eluded-to Fourier-based activity of such a condition -- works to initiate what may be viewed of as an eigenstate of the Wick Action.  Any respective given arbitrary Wick Action eigenstate that happens, acts as a gauge-action -- that works to act upon what may be termed of as a metric-gauge that may be viewed of as a Landau-Gisner-Action.  The Landau-Gisner-Action acts upon a Laplacian-based leveraging of norm-state-projection -- of which may be termed of as the Fischler-Suskind-Mechanism.  The Fischler-Suskind-Mechanism works to mobilize a respective given arbitrary Klein Bottle eigenstate -- via the wave-tug/wave-pull of what would here be a respective given arbitrary Higgs Boson eigenstate -- in so as to allow for the activity of what may be termed of as the Kahler-Metric.  This just-mentioned general genus of activity, works to allow for the kinematic activity of what may be termed of as Gaussian Transformations -- in so as to allow for the continued persistence and the continued existence of both substringular spaces and discrete substringular energy.
So, when any respective given arbitrary photon scatters upon any superstring, in a Gliosis-based manner -- the said photon will then tend to work to be involved in an antiholomorphic Kahler condition.  This will work -- as I have described of on this page -- in so as to cause the ensuing activity of a Kahler-Metric eigenbase.  This will then work to utilize the mobilization of the respective given Higgs-Boson eigenstate -- that would be correlative to any one given arbitrary case.  This is why any given arbitrary individual photons, that had just been scattered -- within the first 384 instantons after such so-stated discrete individual photons have just struck another superstring of discrete energy permittivity in a Gliosis-based manner -- will, over the relatively quite transient duration in which such an exception for photons is the case, only then tend to be directly under the influence of the Higgs Field.
I will continue with the suspense later!  To Be Continued!   Sincerely, Sam Roach.

Some Knowledge As To What Some Singularities May Form

Chern-Simmons based singularities work to help cause some important perturbations -- in the general set of substringular formats that are used in so as to allow for the continued perpetuation and existence of the flow of energy in the substringular.  For instance, some of the quantum of the formation of metrical-based Chern-Simmons based singularities that are locally brought together, via the directly corresponding activity of local Rarita Structure eigenstates, work to help perturbate both local first and second-ordered light-cone-gauge eigenstates -- in such a manner that works to effect the relatively local interaction of magnetic forces with gravitational forces, in so that the local scalar amplitude of the Ricci Scalar may be able to kinematically accelerate in a discrete manner over a correlative period of time (over the directly corresponding successive series of local group instantons).  Yet, on the other hand, some of the quantum of the formation of Lagrangian-based singularities that are locally brought together, via the directly corresponding activity of the local Rarita Structure eigenstates, work to help form certain given arbitrary perturbations that act in so as to help form antiholomorphic Kaeler Conditons -- these of which happen in so as to form respective Wick Aciton eigenstates, these of which work multiplicity in so as to activate the correlative individual Gaussian Transformations in the substringular (in so as to form those changes in the local norm-conditions in the substringular that are needed so that superstrings may perpetually and spontaneously be energy, period).  To Be Contnued.  I will continue with the suspense later!  Sam.

Some discussion as to Topology-based Interactions

The reiteration of superstrings may be extrapolated by the mapping of their correlative world-sheets via tthe successive series of both the physical placements, distributions, and the delineation of the directly corresponding ghost anomalies -- as such so-stated ghosts are traced through the multiplicit and multivarious Lagrangian-based settings where there are physical memories of the correlative superstrings that have kinematically moved  through over time.  A superstring iterates over a tightly-knit spot -- over the course of one given arbitrary eigenmertic of BRST.  Any given arbitrary eigenmetric of BRST involves a multiplicit set of  specific eigenmembers of discrete energy that coelesse into a given eigencondition of that flow of covariant energy delineation, as taken basically like a snapshot in which the said superstrings   are in their respective individual iterations of their encoded-for delineation, that works to form a discrete Hamiltonian pulse of all of the unfrlayed superstrings that still are viabel in a metric-based Gliossi manner.   This delineation is progressed by a sequential series of such distributions and redistributions of both that phenomena that form discrete energy permittivity and of that phenomena that forms discrete energy impedance, in a manner of which works to form that flow of discrete physical energy-based phemomena that is simply what works to allow enegyy and is energy.  The physical memories of superstrings act as a raw holonomic substrate for the recycling of Gliossi-Sherk-Olive ghosts with Neilson-Kollosh ghosts, as well as providing the physical basis of the formation of gravitational-based particles, that inter-play in a covariance that brings in freshly assorted norm-state-projections into each eigenstate of Real Remmanian-based  plane --- in the process of the said recycling of the just eluded-to physical memories.  Such a physical-based cooperation is managed, too, by the recycling of norm-states to ground-states and vice-versa.  -- so that there may be an indistinguishably different inter-play between the conditions of multiplicit singularized jointedness with the condition of multiplicit hermitian smooth-curvedness, as is fascillitated by the existence and the activity of the Royal Arc.  The just mentioned process of indistinguishable difference of the recycling of norm-states to ground-states and vice-versa is the general manner of what may be discerned of as the inter-change of homotopic residue.  Homotopic residue is the set of those segments of topoligical stratum of which are in the immediate locus where topological-based chords of mini-string are re-connected to alterior local substringular cites -- which is during that gauge-metric that happens right before instanton-quaternionic-field-impulse  in which those changes in the general delineation of substringular homotopy happen, in order for Gaussian Transformations may successively happen during the multiplicit interaction of the Kaeler-Metric.  Such an eluded-to transformation in homotopy works to establish a tense of topological-based setting that goes in the direction of optimum relaxation.

Part Two of the Eleventh Session of Course 16

The Regge Action is a gauge-metric that happens during the very ending of instanton.  A given arbitrary Regge Action eigenstate is scattered anharmonically in a condition that may be called a relatively perturbative Regge scattering when the directly corresponding superstring that is to go through the trajectory of the correlative Regge Slope is effected, in one manner or another, by one or more relatively Njenhuis-based  Klein-Gordan mechaism eigenstates -- in the form of tensoric norm-based projections that are not spontaneously caused by the general activity of a correlative Kaeler Metric.  Whereas, a harmonic-based Regge scattering is caused by the onset of a Kaeler Metric upon the core-field-density of a superstring that is about to begin to undergo a Gaussian Transformation -- when such an onset generally only involves Real Reimmanian-based tensors that act upon the so-stated superstring, in the form of tensors that have the capacity of being spontaneously caused by the general activity of a correlative Kaeler Metric.  This is on account of the condition that the introduction of the motion of a Klein Bottle upon the regional-based core-field-density that, appertains to the general field that exists in-between any given arbitrary superstring and its locus as to where its correlative Regge Slope is to subsequently happen -- is a perturbation in the so-eluded to regional field at the onset of a directly assoiciated Kaeler Metric (which is that activity of a Schotky Construction that most directly involves the activity that superstrings must go through in order to be able to reattain enough of a fractal of discrete energy permittivity so that the said superstrings may be able to remain as energy.) The consequent spatial rearrangements that happen via such a so-stated metric -- so that norm-conditions in the differentiatl geometry of superstrings may be able to perform their needed changes, so that motion may both persist and exist over time -- may be called a Gaussian Transformation.  Yet, if a Kaeler Metric is directly involved with a superstring that is to be tachyonic, then, its directly corresponding Regge scattering is then of an anharmonic manner.

Part Four of the 14th Session of Course 14 About Group Action

So, Fujikawa Couplings tend to involve the group differentiation of multiple superstrings that work to define a region of mapped-out space where world-sheets act, in so as to form certain Gliossi-Sherk-Olive ghost anomalies -- these said ghosts of which work to form some of the indices of the topological tracing that becomes scattered, in so as to form those partial eigenstates that are brought into order off of the relative multiplicit Real Reimmanian plane over time  This happens in such a manner to where gravitational particles may be formed and/or reformed so that gravity may perpetually exist spontaneously.  This means that superstrings that undergo Fujikawa Couplings often involve the condition of group cohomology, that here involves the orbifolds and electrostatics of many individual substringular settings -- that are metrically gauged in a proximal manner through the vantage-point of a central conipoint.  This happens in such a manner to where these just stated substringular phenomenology may be able to codifferentiate in a covariant manner that will here involve an inter-relationship, due to certain activities that happen -- both during the generally unnoticed portion of Ultimon Flow & during the inter-connectivity of homotopic stratum that happens during the generally noticed portion of Ultimon Flow as well.  Homotopy is the topological inter-binding of the chords of beaded second-ordered point pariticles in the form of twined substringular field density (mini-string segments that are tied together).  During the Bases of Light and the simultaneous "space-hole," homotopy of substringular phenomena, that is then not to be frayed, just begins to unbind.  The wave-tug/wave-pull of the multiplicit pressurized vacuum eigenstates that are proximal to the eluded to eigen-indices of the virtual topological separation will, at this point, pull the eluded to strands of virtual topological breakage into a slightly different venue of a basis -- as to how the eluded to mini-string segments are tied.  This is the basis as to how homotopy is maintained, in spite of the constant rearrangement of physical norm-based conditions.  The opening and the closing of superstrings -- particularly as photons are formed and/or dissimilated -- works to initiate a pajority of the Wick Action eigenstates that iwork to cause the existence of Gaussian Transformations.  Gaussian Transformations operate in so as to allow for the continued physical alterations in norm-conditions.  Such alterations in norm-conditions are necessary so that superstrings may be able to perpetually inter-relate, while yet also have enough room to move freely enough so that space-time may be able to avoid any spontaneous blockage.  I will continue with the suspense later! Sincerely, Sam Roach.

The Second Part of the 14th Session of Course 14

Substringular residue that is in the process of being recycled while iterating during a successive series of iterations in the Royal Arc are constantly vibrating per each said iteration, that the eluded to eigenindices are in the process of gradually altering -- as these said eigenindices are occupying the premises of the general region of the Royal Arc over the said successive series of group instanton that such eigenstates of redelineated segments of mini-string are being redistributed progressively in the general vacinity of the so-stated premises of the just mentioned Royal Arc Ward-Neumman boundaries.  Superstrings, per iteration of group instanton, bear a residue of mini-string segments that are homotopically redistributed in an indistinguishablly different manner from the multiplicit loci -- as to the regions that the corresponding superstrings are iterating at -- toward the corresponding eigenloci that are here affiliated with the general sustringular structure that I name of as the Royal Arc.  The eluded to indistinguishably different redistribution of the said substringular residue is redelineated per group instanton, in a manner that is neither based on a Noether Flow nor a tachyonic-based flow.  This is due to the condition that substringular residue that is in the form of mini-string segments that are specifically redelineated from any given locus from where superstrings that are of discrete energy permittivity are iterating at -- toward the general multiplicit loci where the Royal Arc is structurally located -- are not in and of themselves discrete units of energy.  These eigenindices of substringular residue are a homotopic release that is released from the Poincaire field density of discrete units of energy permittivity, toward a format of locality that re-manufactures those eigenindices that work to comprise the homotopic topology of superstrings, into norm-based indices -- in an indistinguishably different manner, in an operation that bears a flow that is a fractal of this conditionality of Ultimon Flow.  So, as eigenindices  that are indistinguishably released homotopically from the general multiplicit loci of superstrings is undergoing the process of such a group metric throughout the Continuum, there is a balance that is imperceivable to any time-wise extrapolation, that, in effect, shares the conditions of ground-state kinematic differentiation with the conditions of norm-state kinematic differentiation -- over the directly corresponding successive series of inter-relations of group instanton -- in which the fabric of the substringular eigenstates that are not frayed are being recycled.  This process works to strike a balance between the general format or genus of jointal static differentiation that is made kinematic over time with the general format or genus of smooth-curved static differentiation that is made kinematic over time.  This balance that is struck here is based on the multiplicit genus of norm-relationships of first-ordered point particles -- relative to one another -- that are to bear both a local and a non-proximal time-wise interdependence.  This recycling is a fractal of Gaussian Transformations. To Be Continued.  Sam Roach.

Tachyonic Fields

 A field that is tachyonic is a perturbative field that becomes divergent from an initial state of a relative tense of conformal invariance -- or, from an initial condition of Noether Flow -- into a flow that involves a combined Real and Njenhuis given arbitrary format of tensors that work to inter-bind the eluded to phenomenon that here becomes tachyonic. This process ends-up resettling the said phenomenon at a relatively distant locus, in a manner that involves a format of a re-convergence back into Noether Flow, once such a phenomenon settles, for the said phenomenon that had here become tachyonic previously. Either way, any tachyonic field will end-up forming a Wick Action eigenstate in so as to produce an ensuing Gaussian Transformation. So, any tachyonic field will involve a Cambell-Hausnedorf-Projection eigenstate that will pull upon a Hausendorf-Projection known of as a Wick Action eigenstate in a manner that acts as a correlary to the genus of activity that pulls a Wick Action eigenstate into a Landau-Gisner-Action eigenstate -- due to the indirect influence of the directly associated light-cone-gauge eigenstates upon the local Rarita Structure, as a given arbitrary phenomenon is acting in a tachyonic manner. The need for gauge-transformations when E.M. scatters is one given arbitrary case of such an activity. (Although light that scatters moves slower than in a vacuum, on the whole.) The activity of gauge-transformations not only allows for those Gaussian Transformations that involves that re-assortment that is necessary for E.M. to be propagated without disruption, yet, such activity also, ironically enough, works to allow for for the creation of entropy. Entropy is needed for the neccesary changes in physical states. To Be Continued! Sam Roach. P.S. Read my blog at samsphysicsworld@blogspot.com.

A Little Bit More As To The Wick Action

Whenever a set of one or more superstrings changes in its general holomoriphic-based directoral trajectory, its alteration in holomorphicity is caused by the occurance of a Wick Action eigenstate.  The existence of the motion of a Wick Action eigenstate is indicative of the soon occurance of a Gaussian Transformation.  A Gaussian Transformation is that general format of group metric that works to allow for those changes in norm conditions that are necessary in order that kinematic motion may be both spontaneous and persistent.  Gaussian Transformations also simultaneously work to allow for both superstrings to re-attain discrete permittivity and for their corresponding Fadeev-Popov-Traces to re-attain discrete impedance.  This way, the directly related given arbitrary superstrings may be able to remain as discrete units of energy permittivity, and also, so that the directly related given arbitrary Fadeev-Popov-Traces may be able to remain as discrete units of energy impedance.  Gaussian Transformations that work to allow for the perpetual existence of entropy are known of as gauge-transformations.  Gauge-Transformations are those Gaussian Transformations that involve Calabi-based interations.  Calabi-Interations are interactions in which photons scatter upon a holonomic substrate.  So, whenever a group of one or more superstrings are perturbated holomorphically, this change in the general tendency of the said group of one more superstrings that here act to perform a given arbitrary function is caused by the start of the activity of a Wick Action eigenstate.  Here is how a Wick Action eigenstate is formed in so that immediate alterations in holomorphicity that occur to a group of one or more superstrings may happen in order to allow for what will here soon allow for the activity of a Kaeler-Metric in which a Gaussian Transformation may occur.:  A set of one or more superstrings vibrates along what is here a given specific trajectoral projection over a certain given period of time.  The said set of superstrings will here bear a vibrational pulse that is correlative to the local genus and format of the directly corresponding Schwinger-Indices.  The said Schwinger-Indices act upon the Rarita Structure eigenstates that are local to the general eluded to path of the said group of superstrings.  The mentioned Schwinger-Index eigenstates will here be influenced by both their relativity to locally-based electromagnetic energy and the pull of the locally-based gravitational forces -- the latter of which happens via the Ricci Scalar.  As soon as their is a significant Yakawa-based torsion that will here occur between the eluded to directly related electromotive force and the gravitational force, under the indirect control of the topological swaying that is influenced by the local indices that appertain to the strong force, their is then a given arbitrary alteration in the genus of the directly related local Chern-Simmons eigenstates -- when in terms of both the parity and/or the chirality of the directly related group of superstrings that have here moved in one format of holomorphicity over a certain period of time.  What I mean by a significant Yakawa-based torsioning is a binding of wave-tug and/or a binding of wave-pull that acts in so as to perturbate the flow of the directly related Gliossi-Shirk-Olive ghosts with the directly related Neilson-Kollosh ghosts.  Such a change in the conditions of the local Chern-Simmons eigenstates' genus will then here form a condition of spuriousness in the said given arbitrary group of superstrings that are moving along the originally mentioned trajectoral-based path.  This eluded to torsion will here form a certain format of a Hausendorf Projection that is caused as an equal and opposite reaction to the strain that would here be caused by the said torsioning of E.M. upon gravity that are local here.  The initial activity that happens upon the formation of the eluded to Wick Action eigenstate will here  be a change in the directoral-holomrophic-based format of trajectory of the said given arbitrary group of superstrings that are moving along the prior stated path.  The said change in holomorphicity will then act in so as to indirectly cause what will soon be here at the general local substringular cite -- a Gaussian Transformation.  This flow of kinematic activity will then not only allow for those changes in positioning via the directly related changes in norm conditions that allow for there to be enough organization of room at the general local cite to allow for the continued motion of the said related superstrings, yet, it will also -- via the directly related Kaeler-Metric eigenmetric -- work to allow for the re-attainment of the respective permittivity and impedance that allows for the said superstrings to move as discrete units of energy permittivity and for the said Fadeev-Popov-Traces to move as discrete units of energy impedance.  I will continue with the suspense later!  Sam Roach.

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

A Little Bit Of An Explaination of discrete permittivity and impedance

As superstrings differentiate over time, their discrete permittivity begins to "wear-out."  When the discrete permittivity of superstrings starts to wear-out, the discrete impedance of their directly corresponding Fadeev-Popov-Trace eigenstates begins to wear-out over the course of the same general group metric.  When such an initial loss of discrete permittivity and such a loss of discrete impedance in superstrings and their directly corresponding Fadeev-Popov-Trace eigenstates respecitively happens to the point that such metric-gauge is almost fully depleted, then, the said superstrings and their corresponding Fadeev-Popov-Trace eigenstates go through what is known of as a Kaeler-Metric so that both superstrings may reattain discrete permittivity and so that their field trajectory (PLP) may reattain their discrete impedance.  As this happen, the Kaeler-Metric happens in such a manner so that -- not only will the substringular phenomena that I have just mentioned will reattain their respective permttivity and impedance, yet, also so that norm-conditions may change over the course of  Gaussian Transformation-based metrical activity. Gaussian Transformations that involve the scattering of light are known of as gauge-transformations.  Gauge-Transformations work to allow for entropy -- which is essential so that physical states may change.  The arena of the knowledge of gauge-transformations will be more thoroughly discussed in course 20 about Calabi-Interactions.  The discrete energy permittivity and the discrete energy impedance that the substringular reattains bears the prior mentioned geni of fractaled Njenhuity that is based upon the condition that certain phenomena sometimes may be able to travel to different sets of parallel universes.  Also, this bears upon the condition of what happens during Ultimon Flow.  This way, phenomena may bear some sort of association with all of the other phenomena in space-time-fabric -- so that such a "fabric" may be of a space-time-continuum.  Enough for now!  Sincerely, Samuel David Roach.

A Little Bit More Of A Simple Allagorical Explaination

Do you remember when I worked at explaining the need for changes in norm-conditions in laymens terms?!  That allagory was my manner of working to explain the need for something that needs to happen at the substringular level in order for the eluded to changes in norm-conditions to happen.  This "something" that needs to recurrently happen is the activity of Gaussian Transformations.  When the norm-conditions change at the substringular level, what is going on is known of as a Gaussian Transformation.  Superstrings need to change in terms of their norm-conditions in order for the mentioned superstrings to free-up room so that motion, and thus, energy, may be spontaneous and persisitant.  As for that matter, the whole of the substringular needs to change in terms of their norm-conditions quite often in order for space to be freed up so that the kinematic activity of energy may continue.  All of the time, at some regions or another, there are a vast number of Gaussian Transformations that are occuring.  Yet, at a specific general locus, and,  for specific given arbitrary superstrings, Gaussian Transformations only occur every so often so that the needed changes in norm-conditions may occur.  The spots where superstrings are at at various times totally varies, just as stuff changes where it is at all of the time somewhere.  Yet, at every spot where energy has existed, and, for every superstringular unit of discrete energy permittivity and for every substringular unit of discrete energy impedance, there must be Gaussian Transformations that occur at some time or another in order for their mentioned changes in norm-conditions to occur.  A discrete unit of energy permittivity is an actual phenomenon that is the smallest basic unit of energy that is energy that appertains to the pull of energy through the direction that the said corresponding energy is going through, while a discrete unit of energy impedance is an actual phenomenon that is the smallest basic unit of energy that is energy that works to hold back the excessive drive of the overall basic unit of energy that I am here eluding to.  Such phenomena must move persistantly in order to exist, and thus remain as energy.  Room must be made freed-up so that such motion may occur.  As mentioned during an earlier post, norm-conditions must change at times, under certain situations, in order for such motion and thereby energy to persist and thus exist.  So, this is why Gaussian Transformations must occur.  I will continue with the suspense later! Sincerely, Samuel David Roach.

The Fundalmentals of Energy To Exist

If it was not for the Wick Action, there would be no Landau-Gisner-Action. If it was not for the Landau-Gisner-Action, there would be no Fischler-Suskind-Mechanism. If it was not for the Fischler-Suskind-Mechanism, the Higgs Action would not be able to be transported to the given regions where the Kaeler-Metric is to take place. If it was not for the Kaeler-Metric, there would be no Gaussian Transformations. If it was not for Gaussian Transformations, norm conditions of substringular phenomena would not kinematically differentiate over time. (Or, in other words, norm conditions of substringular phenomena would not be able to undergo Fourier Transformations.) If there were not Fourier Transformations, nothing would not happen through time. If nothing ever happened through time, motion would not happen. If that was the case, nothing would exist. This is why I call the Higgs Action the "force." Ever since around the time of the Big Bang, the Higgs Action is the force that allows substringular phenomena to exist as the source of the motion of space and time. It was the initial Higgs Boson known of as the isoelliptiabellianoid that acted thru the Higgs Landau Action to create the initial superstrings so that discrete energy could exist.


Sincerely,

Samuel David Roach

What Forms Orbifolds

It is the interactive activity of the kinematic motion that exists in-between superstrings, the light-cone-gauge, the Rarita Structure and their coresponding Schwinger Indices, The mechanism of the Higgs Action that works to move the Klein Bottle, and the woven-in activity of those norm-projections that work to help allow for the directly associated Gaussian Transformations that binds certain Fourier-Based covariant codeterminable loci that are operationally-bound that causes certain superstrings that exist in the same general format of an applicable Real Reimmanian space, or, a Njenhuis-based space, that is codifferentiable with other of such physically holonomic-based spaces that works to allow for correlative spaces to directly interact in such a manner so that each of such just mentioned spaces may act as individual respective physical unitary-operational spaces that work to define those Hamiltonian operators that form each of such spaces as groups of superstrings that work toward a common purpose.  Such groups of superstrings that act as spaces that are reverse-fractal to the space-like condition that may be defined by the holnomic entity of the physical substrate that superstrings form, that forms the basis for the need for such membranes or manifolds that work to define the existance of orbifolds.  The synergetic interaction of superstrings that work together in such a manner so that the group operation of such a unification of superstrings forms a definitive space that may interact with other spaces is the general operation of an orbifold.  This is the basic idea as to why orbifolds exist. -- A superstring by itself often can not operate as a single unit to directly and significantly on its own work to form a definitive space of holonomic substrate that may form a defiitive permittivity-like basis in such a manner so that the synergetic interaction thus formed may bear an actual magnetic-field-basis that also bears an actual electrodynamic-field-based and an actual covariant Fourier-based kinematic codifferentiation that may cause a spontaneous abelian-like effect that forms a viable pull of what I term of as wave-tug.  Yet, in the related groups that I call orbifolds and orbifold eigensets, the abelian-like codifferentiable wave-tug activities that are here significantly viable are then able to form at least the semblance of a magnetic wave-tug pull that may allow for those set of motions that work to form the relativity of physical phenomena relative to the existance and the operaton of electromagnetic energy.  Light itself tends to exist in quantized groups known of as beams of E.M. that interact in such a manner so that their synergetic group activity may have at least some sort of a degree of viable leverage -- so that interactions may bear at least some sort of abelian wave-tug and wave-pull that allows for spontaneous codeterminable kinematic electrodynamic charge inter-relations.

A Liltle Bit About The Rarita Structure

The Rarita Structure is the topological substrate that works to interbind the light-cone-gauge -- in a strucural manner -- with both gravitational-based particles, the Wick Action, and the given arbitrary superstrings, in such a manner so that gravity may have some sort of abelian-based codetermination with both superstrings, their light-cone-gauge eigenstates, and those norm projections that work to allow for the indirect occurance of Gaussian Transformations, along with allowing for interactions among other norm projections. The activity of the Rarita Structure -- via its Schwinger-basd vibrations -- works to directly in some ways and indirectly in others -- act in such a manner so that such gravitational pulls may happen so that gravity may exist at all. The scalar amplitude of this activity is called the Ricci Scalar.

A Continuation of More Knowledge As To The Space-Hole

When it comes to the recycling of substringular condensed oscillation, one cycle of the mentioned recycling works to give all of the superstrings of the directly related tori-sector-range a chance to be a substrate of a "center-state", even though such mentioned tori-sector-ranges are constantly perturbating and permutating into both distinguishably -- in some regions -- and indistinguishably -- in other ranges -- forms and formats.  The directly prior condition is a general concept as to the kinematic evolving of the substringular, when in consideraion of all of the loci that exist in each individual layer of reality in each multiplicitly considered parallel universe in the substringular.  So, in a very real sense, the format of the substringular in each tori-sector-range is always in flux -- in terms of both overt and discrete Fourier Transformations.  Or, in other words, all of the phenomena of the substrings of each tori-sector-range becomes recycled as a relative holonomic operand of the kinematic Fourier differentiation of the motion of that generalized entitiy of a central substringular encoder that moves in such a fashion so as to allow for that motion of its corresponding superstrings of discrete energy permittivity, so that the motion of discrete phenomena may happen -- so that energy may be both continuous, spontaneous, and covariantly interactive with the other substringular phenomena that codifferentiates on account of the freeing up of room that is due to the corresponding Gaussian Transformations.  Gaussian Transformations have a root cause by the activity of the Higgs-Landau-Action.
(The Higgs "Boson" is  the "question" that forms the universe as an "answer.")  I will continue with the suspence later!  Sincerely, Samuel David Roach.

More As to the Importance of gauge-transformations

Gauge-Transformations are the most common form of Gaussian Transformations.
Gauge-Transformations are Gaussian Transformations that cause a perturbation or altering of the type of light-cone-gauge topology any said given arbitrary superstrings are to have.
Gaussian Transformations not only work to free up room for the kinematic redistribution of superstrings in the process of allowing for an alteration in the holonomic pretext of any given locus of Ward Caucy-based norm-conditions, yet, the process of Gaussian Transformations also simultaneously allow for the reattaining of discrete energy permittivity in the corresponding superstrings so that these said superstrings may remain as discrete energy so that energy may exist period.
Over the course of the same prior mentioned general basis of metric, the corresponding Kaeler-Metric eigenstates also allow for the reattaining of discrete energy impedance from within the holonomic structure of those Fadeev-Popov-Traces so that the condition of discrete energy permittivity may have a relatively reverse-holomorphic field trajectory of discrete energy impedance.  Wherever there is energy permittivity, there is also energy impedance.  Both are necessary for the existance of energy, period.
Gauge-Transformations, in the process of allowing for changes in local norm-conditions, allowing for changes in light-cone-gauge topology, and also allowing for the maintainance of discrete energy permittivity and discrete energy impedance, also allow for both the interaction of light with other phenomena, as well as allowing for the necessity of essential entropy.  The directly prior taken multiplicitly thence indirectly allows for the relativity of light with other phenemena so that there may be the needed inextricable binding of phenomena with the existence and with the kinematic differentiation of light.
I will continue with the suspence later!  Sincerely, Sam Roach.

Session 15 Of Course 10

Tadpoles happen when three-dimensional fields of two-dimensional superstrings are made entopically spurious after basically countless iterations.  Such spuriousness is increased when two-dimensional superstrings have iterated through a common general path via a tense of conformal invariance too many times with no condition of being used to vanquish the chaotic energy-like condition of the resulting entropy.  This is because the space-hole works to realign the path operand of the individual world-sheets of both the associated one and two-dimensional superstrings in such a manner to where an increase in the entropy that is due to such an attempted realignment may happen. This happens when various substringular systems are relatively isolated to where these systems need to be changed in terms of the light-cone-gauge eigenstates that appertain to the resulting entropy and/or in terms of the Chern-Simmons condition of the same set of arbitrary superstrings that comprise the given prior mentioned entropy.  World-Sheets of substringular phenomena may be spatially effected in terms of large groups of these by thought energy in so that the paths of the related one and two-dimensional superstrings may have enough of an interaction with other one and two-dimensional superstrings.  This means that certain forms of thought energy -- in a manner that I will not here describe -- may be used to help in the effert to assist in the process of those forms of substringular delineations that may work to maintain that homotopy that works to sustain the condition of Cassimer Invariance so that our continued existence may be prolonged and secured.  This may happen in such a manner so that the paths of the corresponding given arbitrary superstrings may have enough of an interaction with other one and two-dimensional superstringular paths so as to allow life to differentiate in a time-wise manner with more freedom of motion -- as well as to allow for enough substringular room so that Gaussian Transformations may be aptly able to happen in the process of allowing both changes in norm-conditions as well as to allow for the reattaining of that discrete permittivity and discrete impedance that is necessary so that superstrings and their corresponding Fadeev-Popov-Traces may continue to exist so that there will be continued energy and freedom of energy redistribution.  This freeing up of room is so that those activities may happen so that there may be not only energy, yet also so that energy may be smooth enough in its kinetic delineations and redelineations in order for homotopy to persist with no danger.  This is necessary in order for space-time to adapt so that space-time-fabric may be able to homotopically persist.  I will continue in the direction of the 16th and last session of this course later.  I will converse then!  Sincerely, Samuel David Roach.

A Little Clarification As To The Light-Cone-Gauge

The last three Planck-based motions of the Klein Bottle in any given arbitrary Kaeler-Metric eigen-based activity is a positional readjustment that allows the Klein Bottle -- via the Higgs Action -- to be able to move to a locally-based different general spot so that a Gaussian Transformation may occur at a slightly different location during an ensuing Kaeler-Metric eigen-based activity in terms of the utilization of the same Klein Bottle eigenstate.  This way, the same Klein Bottle eigenstate is able to be used for local Gaussian Transformations that are not of the same holonomic substrate in the same general region.
There are countless Klein Bottle eigenstates that multiplicitly move via the Kaeler-Metric eigencondition via one Higgs Action eigenstate per Klein Bottle eigenstate.  This way, relatively localized Higgs Action eigenstates are able to form relatively localized Gaussian Transformations indirectly so that local changes in norm-conditions that are essential for the freeing up of space in a general region may be more directly associated so that there is no chance for the inability of superstrings -- that are in need of reattaining permittivity so that the said strings may be the energy that these need to be so that superstrings and thus discrete reality may exist -- to lack the kinematic interchanges that are necessary so that Gaussian Transformations may happen to the said superstrings so that the said here given arbitrary norm conditions may occur so that such a reattaining of permittivity in discrete units of holonomic-based energy may occur.  The implied Klein Bottle eigenstates thence exist all over the place in their respective world-tubes so that wherever superstrings are relatively at, there is a basis of substrate in which the respective Higgs Acion eigenstates may be able to move the respective Klein Bottle eigenstates in such a manner so that Gaussian Transformations may occur for the reasons mentioned before.  Therefore, Wick Action eigenstates, Landau-Gisner Action eigenstates, and the holonomic substrate of Fischler-Suskind-Mechanism eigenstates also are multiplicitly displaced around the general world-tubes so that there may be a definitive basis for the ability of the Kaeler-Metric eigenconditions to happen in such a manner so that the necessary Gaussian Transformations may occur.  I will continue with the suspence later!  Sincerely, Sam.