Substringular "Circulation"

Metaphorically think of Ultimon Flow as the circulation of blood through a biological entity.  As blood has to go all around the body in order to "iterate" at any of one specific locus, this is metaphorical to that each superstring -- during the generally unnoticed duration of Ultimon Flow -- has to "circulate" through the overall Ultimon, in order to iterate at each ensuing locus at which it is to be at next.  Once a black-hole is formed, as the ensuing frayed superstrings are pulled into a black-hole, in so as to later be "spit-out" as antimatter that is to later re-organize into matter -- the relatively adjacent unfrayed phenomenology, during each ensuing iteration of  SETS, is retied in order to work to form an ever changing sequential series of the multiplicit set of Laplacian-based conditions of the general state of homotopy, via what I term of here as Cassimer Invariance.  The existence of black-holes is to then be like a metaphorical tense of being like "blood clots" in the substringular.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Convergence Upon Hermicity

Let us initially consider a superstring of discrete energy permittivity, as it is undergoing the Polyakov Action during an individual iteration of BRST.  Let us next say that the said respective given arbitrary string, is in a condition of a terrestrial-based rest -- to where it is fully decompactified, or, in other words, the so-stated respective superstring works to bear no affective scalar magnitude of a correlative Lorentz-Four-Contraction to be interactive upon the topological stratum of its holonomic substrate, during the said iteration of BRST, during an individual iteration of instanton.  Due to the so-stated condition of complete decompactificaction -- the relative scalar amplitude of that general genus of a Clifford Expansion that is to be directly associated with what is here to be a "maxed-out" tense of an eigenstate of the Polyakov Action, will bear a heightened tense of an euler expansion of the so-eluded-to influx of mini-stringular segmentation, that is to here be fed into the directly corresponding light-cone-gauge eigenstate, that is of the wave-based characteristic of the discrete quantum of energy impedance that is here most directly correlative to the so-stated superstring of discrete energy permittivity, that is being discussed in this particular case.  The Fourier-based activity that is most directly associated with the perturbation of the Lorentz-Four-Contractions that are effectual upon the topological stratum of the holonomic substrate of a discrete quantum of energy, will tend to propagate into a condition of a Lagrangian-based Chern-Simons set of singularities -- over the course of a correlative sequential series of instantons, when the interdependent interactions of discrete quanta of energy -- that are to here be considered as acting upon each other, is to take its natural course, over time.  The euler of the natural log of any respective given arbitrary specific variable will be the variable itself.  So, let us think of what may here act as Lagrangian-based Chern-Simons singularities -- that may be formed by a "spike" in the cohomological mappable tracing of a superstring, that has just acted in so as to alter in one more derivatives than the number of spatial dimensions than its is to be moving through -- at a respective Laplacian-based instant under consideration.  Such a singularity may be of either a relatively infinitesimal value, Or, such a singularity may be of a relatively infinite value -- given the specifics of the given arbitrary substringular situation.  The negative of the limit of the natural log of a value that is here to be approaching zero from a positive attribute to a negative attribute, is the negative of negative infinity, or, in other words, this would be infinity.  The euler of zero is one.  So, the substringular tendency of the hyperbolic Clifford Expansion, that is of the general field of the multiplicit light-cone-gauge eigenstate -- that is of a scalar amplitude that is correlative to both the degree and the manner of the given arbitrary decompactification that is here to happen over the course of any individually taken eigenstate of the correlative Polyakov Action -- works to act upon whatever the predominant proximally local homotopic residue happens to be acting as, in the general substringular region, in so as to work to help in causing the correlative Lagrangian-based Chern-Simons singularities -- that are to here act upon the general topological locus, to be kept within the Ward-Caucy-based limits of the condition of what may here be termed of as Cassimer Invariance.
Again, Cassimer Invariance is the perpetual tendency of substringular phenomena to interchange eigenstates in so as to maintain homotopy, per instanton.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

As To A Gliosis-Based Abelian Strike

When there is a Gliosis-Sherk-Olive cohomological-based pattern, that is formed by the physical memory of the conformally invariant motion of a set of superstrings of discrete energy permittivity -- the so-eluded-to ghost-based pattern will be of a mappable tracing, that, if this is not perturbated by an external source, will tend to be in a positioning that is relatively stationary in its Majorana-Weyl-Invariant-based mode.  Let us now say that the so-stated Gliosis-Sherk-Olive ghost-based pattern that I have mentioned here, works to bear an external-based core-field-density, that works to bear an abelian geometry, in retrospect to its exterior Yukawa-based field.  Let us now say that there will be an incoming relatively reverse-holomorphic set of norm-state-projections, that will be heading towards the Gliosis-based field of the said respective given arbitrary Gliosis-Sherk-Olive cohomological-based pattern, that is of this given case scenario.  Let us now say that one is looking, in a Laplacian-based manner, in the holomorphic direction - from the relatively general holomorphic end of the so-eluded-to ghost-based pattern of the so-eluded-to orbifold -- that had just operated in so as to perform one specific function in the substringular, up until the said respective given arbitrary orbifold had perturbated out of the general but specific locus in which it had existed in a tense of conformal invariance -- at the initially so-stated tense of Majorana-Weyl-Invariant-Mode, that I had mentioned at the beginning of this given post. Let us now say that the whole ghost-based pattern of the said Gliosis-Sherk-Olive mappable tracing -- was to bear a "perfectly" trivially isomorphic chirality with the said incoming relatively reverse-holomorphic moving set of norm-state-projections -- to where each of the so-eluded-to ghost-based indices of the said physical memory of the orbifold is to match an antiholomorphic ghost-based index of the said relatively reverse-holomorphic moving set of norm-state-projection, as the impending collision is about to happen in a dot-product-based manner -- at the Poincaire level of the holomorphic end of the ghost-based pattern that was formed by the so-stated orbifold, that had worked to form the so-eluded-to physical memory of the Hamiltonian operator that had just been perturbated-out of the general locus of where the impending collision is about to happen.  Let us, as well, say, that the topological edges of the said reverse-holomorphic set of norm-state-projections is to bear an abelian geometry, towards the core-field-density that is just external to the Gliosis-based field, that is at the Poincaire level to the interior of what is about to be the group-metrical activity of a substringular collision of integrative ghost-based eigenindices.  Let us now say that the Hodge-Index of both of the individually taken so-eluded-to sets of integrative norm-state-projections is of the same discrete quantum.  This will then cause there to be a tendency, to where, the two integrative sets of norm-state-projections will often here completely scatter in a Rayleigh-based scattering, on account of both the conditions that this will be an annharmonic scattering, and, also because such a scattering will work to cause the adjacent eigenmembers that are displaced in a perturbative manner, to be of an odd chirality -- at the Poincaire level to the point commutators that are hewn-in by the activity of that inter-connective fabric of mini-stringular segmentation, that is involved with the homotopic interplay of the directly corresponding norm-state-projections -- that work to form the correlative and needed interconnection of substringular field-density, that works to reverse-fractal into the activity of the condition of the multiplicit existence of Cassimer Invariance.
To Be Continued!  I will continue with the suspense later!  Sincerely, Sam Roach.

As To The Tying Of Gauge-Bosons

Let us here consider a discrete quanta of energy -- at one general locus, where the Polyakov Action is to be able to happen, -- during one specific iteration of BRST.  During the Polyakov Action, at one respective given arbitrary locus -- the correlative superstring of discrete energy permittivity and its substringular counterpart, are decompactified to the inverse of as to the scalar magnitude of its directly pertinent Lorentz-Four-Contraction.  As such a so-eluded-to Polyakov Action is happening -- both the Bette Action and the duration of the said iteration of BRST, are then happening simultaneously, through the vantage-point of a central conipoint.  Any given arbitrary duration of BRST, is that activity that happens when a superstring of discrete energy permittivity is basically at a standstill -- aside from the activity that these said phenomenology go through in the process of both the said iterations of the Polyakov Action, the activity of the Bette Action, and the activity that is involved with the Imaginary Exchange of Real Residue. (This so-stated duration is the general metric that is to happen over a majority of any directly correlative iteration of instanton.)  As a refresher to my readers -- the Imaginary Exchange of Real Residue is involved with that activity in which the directly corresponding counterstring of discrete energy permittivity is to initially sway in the relative forward-holomorphic direction, at a subtension that is initiated in a spot that is relatively proximal to the relatively reverse-norm-to-holomorphic position of the directly affiliated counterstring, while this said genus of metric works to bear an equal and opposite reaction of then working to bear a toplogical sway of the directly corresponding superstring of discrete energy permittivity -- that is pulled into the here relatively reverse-holomorphic direction, at a subtension that is initiated in a spot that is relatively proximal to the relatively reverse-norm-to-holomorphic position of the directly affiliated so-stated superstring of discrete energy permittivity. Such a so-eluded-to topological sway is like a "woddle" of the overall discrete quanta of energy permittivity. (The said superstring is more pertinent to the particle-based nature of such, and, the said counterstring is more pertinent to the wave-function-based nature of such.)  As the earlier mentioned respective given arbitrary superstring that is undergoing a metric of a pertinent iteration of BRST -- at a relatively set substringular locus -- the gauge-bosons act in so as to "pluck" their directly correlative cites, at the respective given second-order light-cone-gauge eigenstates.  This is able to happen, because the here applicable topological Yukawa inter-relationship -- that would here exist in-between the cites as to where upon the second-order light-cone-gauge is to be plucked, & the Ward-Caucy bounds of the correlative said gauge-bosons, that are to do the said plucking of the said second-order eigenstates of the wave-functionability of discrete energy impedance, is not of a manner that would OTHERWISE be of a Glioisis-based homotopic bearing tangency -- during the so-stated general activity of the said "plucking" that is to here happen over the individually taken successive series of the correlative iterations of BRST.  This means, that -- even though the homotopic condition of the substringular interconnections that exist among all unfrayed superstrings tend to work to bear a condition of a general state of Cassimer Invariance -- the gauge-bosons of the substringular are most Gliosis in interconnection with that topology that is of the multiplicit  Rarita Structure eigenstates, that are off of the relative Real Reimmanian Plane, -- to where, the so-implied homotopic indices that are directly tied upon the here so-stated gauge-bosons will then tend to be of a Njenhuis-based nature to the Sterling-based field of the relative field-density of the directly correlative discrete quanta of energy, that is of such a case. So, this leads to allow for the condition, that this just mentioned state of affairs -- that is of the inter-relationship between gauge-bosons and the directly corresponding second-order light-cone-gauge eigenstates, will then here work to tend to bear a higher and spontaneous scalar magnitude, that is of the freeing-up of room, that is proximal to the Poincaire level as to the here relative positioning of these said interacting phenomenology, to where the correlative plucking that I have here described, may be able to tend to happen without any perturbative unwanted torsioning of the core-field-density of the here directly corresponding and local discrete quanta of energy, that are most Yukawa to the here said case scenario.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

The Fourth Part of the Third Session of Course 17 About the Ricci Scalar

Any given arbitrary superstring has a topology.  A superstring of discrete energy permittivity has either an abelian light-cone-gauge topology or a non-abelian light-cone-gauge topology.  An abelian light-cone-gauge topology is known of as a Kaluza-Klein topology, while, a non-abelian light-cone-gauge topology is known of as a Yang-Mills topology.  Phenomena of mass is considered to tend to have both a Kaluza-Klein topology, with Yau-exact singularities in-between those superstrings that work to comprise any given of such phenomena of mass.  Any given phenomenon that has both a Kaluza-Klein topology and Yau-exact singularities can not -- as such -- travel at the speed of light or faster, or else it will have all of the mass in the universe.  Yet, if one is able to temporarily alter the light-cone-gauge topology of a mass into having a Yang-Mills topology -- over a relatively brief terestrial-based duration of time (over a relatively limited sequential series of group instantons), then, the just-eluded-to mass may then be translated as being able to then go at the speed of light or faster over the just-eluded-to relatively brief period of time.  As the said general condition of such a mass is being translated as going at the speed of light or faster, the so-stated mass is --- over the so-stated general given arbitrary duration of time in which it is going at such a general eluded-to rate -- technically not a mass.  This is even though such a mass both begins and ends up as a mass from the respective moment before it is translated as such, and also after such a so-stated mass is translated back into bearing a Kaluza-Klein light-cone-gauge topology after such a so-eluded-to translation.  This is also in consideration of the condition that a vast majority of the speed of a worm-hole is simply the contorsioning of space-time-fabric.  A world-sheet has a topology -- since such a traceable mapping is comprised of cohomologically-based mini-string segments, that are organized into a physical memory as to the prior motion and existence of the directly corresponding superstrings that had moved upon the directly corresponding Hamiltonian-based operands over a previous extrapolated period of time.  What I mean by a topology is the surface along both the contour of any given arbitrary superstring and the surface along the contour of any given arbitrary ghost-based index that works to be traced by the mapping of the directly corresponding world-sheet.  This works to consider the condition that all superstrings and all ghost anomalies are interconnected, in one manner or another, by the inter-connectivity of both the activity and the existence of mini-string segments -- that work to form the basis of both core-field-density and also the basis of the existence of homotopy (through Cassimer Invariance). This also works to consider the condition that all superstrings are interconnected -- one manner or another -- to all world-sheets as well, via the said general condition of the same basic pretext, -- the existence and the activity of mini-string segments, as these branch out to allow for the tying together of all substringular fabric to one another over the course of the unfrayed portion of all physical phenomena that are iterated over the course of each succeeding group instanton.  This also works to consider the condition that all first-ordered point particles are constantly being recycled in an indistinguishable different manner over each succeeding iteration of group instanton.  The general interconnection of superstrings of discrete energy permittivity  to gravitational particles is via the Rarita Structure.  This works to cause the existence of the Ricci Scalar. To Be Continued!  Sam Roach.

The Last Part of the Addendum Before Course 17

As I was saying in the previous post, over the course of the ensuing iterations of group instanton, that are affiliated with the sequential-based series of the recycling of norm-conditions -- via the indistinguishably different recycling of mini-string segments, that are here replaced in the so-stated indistinguishably different manner in so that there may be both an optimum fractal module and an optimum elastic modulae to be applied to the homotopic-based topological conditions of the field-density-based eigenstates that work to constitute the basis of both the inter-binding and the exterial-biding that works to comprise substringular phenomena, -- the specific indices that work to integrate in so as to form the general topology of substringular phenomena are inter-changed, in order to maintain the general condition of Cassimer Invariance.  This is part of the process that also works to inter-change the Gliossi-based conditions of smooth-curvedness with the Gliossi-based conditions of jointal-based delineation, in so that the multiplicit structural strength of the mini-string segments that work to form the basis of topology may be of an optimum quality, per regional locus, per gauge-metric, over time.  Meanwhile, with the specific case of both the previously mentioned given arbitrary one-dimensional superstring of discrete energy permittivity and the previously mentioned given arbitrary directly associated Fadeev-Popov-Trace eigenstate, the relatively linear core-field-density that was stated as being in-between the so-eluded-to discrete unit of energy permittivity and the its directly corresponding counterpart will, once that the instanton-quaternionic-field-impulse-range has begun, "evaporate" its homotopic function, until the field delineation, that the next locally derived iteration of group instanton singularizes at, at the relative field delineation that the originally mentioned "leg" of the space-hole of this given arbitrary case is -- in one manner or another -- encoded for, by the physical determination of the coefficients that work to translate such a respective genus of an eigenstate of the "space-hole," in such a manner in so that the so-eluded-to one-dimensional superstring, and, all of the other superstrings of discrete energy pemittivity of the same respective layer of reality, may keep being able to re-singularize as globally distinguishable superstrings -- that kinematically differentiate via the sequential series of their iterations and reiterations of group instanton, in such a manner in so that the said instantons, as taken individually, are like "snapshots" that are the so-eluded-to phenomena as taken in a lowered flux translation, when this is compared to the perturbative motion of what happens during the so-eluded-to directly previous field-impulse-mode -- the latter of which is the kinematic format of activity that happens 1Ihbar just before group instanton.  When such a general format of activity is going in a state of superconformal invariance, the directly related given locant neighborhood in the substringular works to form correlative eigenstates of the space-hole -- at their respective generally unnoticed gauge-metrics, that operate in so as to "vibrate" their path potential in a tightly knit region per so-eluded-to imaginary-based homotopic exchange.  This is most succinctly the case for unfrayed substringular phenomena.  To Be Continued.  Next.  Course 17.  Sam.

Some Stuff As To The Substringular Nature of Electrons In The Substringular

You may wonder about the vibrations of an electron from within the neighborhood as the said electron exists as a transposition of indical bases of which appertains to eigenstates of both mass and kinetic energy which quantify within the expected range of a double-majorized-plane-sector, which has a probablity that is minimized analogously to the elevation of tensorism as delineated by the covariance of the iteration and the reiteration of the superstrings and the quantific waves which work to form the eigenspace of the neighborhood of the said electron as it may be transiently measured within a range which is homogeneously proximal to its path operand.  Well, then, what is this vibration???  Such a vibration is the applied tensorism of the association of redistributed eigenstates of superstrings which swipe out a semigroup of heterogeneous potential morphology, whose field bears covariance with an inexact and nonlineaer differential association of reassorted factor groups -- which work to integrate the pulse of the said electron after each group convergent series of the directly corresponding magnetic dipole -- as the so-stated dipole delineates a morphological tense of permittivity -- which causes the constancy of the electrons tangency to abide by its directly associated orbital conditions.  So, what is a potential application to this eluded-to tensorism?  I will only give you a hint on my blog.  As the physical point particles (of the first-order) which work to comprise the relevant superstrings are minimized -- in terms of their repulsion factors -- the rate of the integrating factors, caused by the relative angular momentum of the orientation of that parity that is among the neighboring point commutators, increases -- in terms of the magnitude of reassortment transition.  This implied activity works to pull together first-ordered point particles to the given arbitrary regional distribution, which may be most "eigen" within the so-eluded-to tense of spontaneity.  If one were to be able to "pull" such a directoral topological sway -- on account of the added condition of all substringular wave that is unfrayed, being connected by the condition of Cassimer Invariance -- an equal and opposite "push" that would be inacted in the opposite general direction, will then be afforded by the directly corresponding activities that appertain to the presence of homotopy -- which would work to form a semi-permeable flow of wave-based delineation to be exacted, in terms of the wanted tenses of condensed wave oscillation, whose pushing-out of waves from the thence forming superstrings of discrete energy permttivity would work to help control the sub-atomic vibrations of the so-eluded-to given arbitrary electrons that appertain to such an activity.

Part Two of the Seventh Session of Course 16

A Yang-Mills light-cone-gauge topology is more likely to be directly involved with superstrings that are able to travel at the "speed of light" or faster, unless one is dealing with entropic photons, whereas, a Kaluza-Klein light-cone-gauge topology is more related to mass and the so-stated entropic photons -- within the first 384 instantons after the scattered photons have struck any given arbitrary phenemenon that was in their initial path.  This is although, in any measurable period of time that light or any electromagnetic energy may be measured as going in any phenomenon other than a vacuum, that so-stated given arbitrary electromagnetic energy will be going slower than if it were to be going through a vacuum -- as is according to Snell's Law.  A mass has both a Kaluza-Klein light-cone-gauge topology and Yau-Exact singularities in-between the superstrings that work to comprise the given arbitrary mass so-stated.  Any phenomena that has both a Kaluza-Klein light-cone-gauge topology and Yau-Exact singularities in-between the superstrings that work to comprise the said phenomenon can not go at the speed of light or faster, as I have described in previous posts.  A Yang-Mills light-cone-gauge topology works more toward the maintenance of the homotopy that superstrings bear the one toward the others, while, a Kaluza-Klein light-cone-gauge topology works more toward the general networking of substringular cohomology.  The condition of homotopy is key toward the condition of Cassimer Invariance.  It is electromagnetic energy that works as the key to Lorentz-Four-Contractions, and thus, it is electromagnetic energy that acts as the principle component as to what works to allow for the recycling of substringular norm-state conditions.  It is the recycling of norm-state conditions that works to allow for the various substringular phenomena to optimize the state of being kept from fraying, and, the condition of substringular phenomena being interconnected without fraying is the condition of homotopy.  This is why light, or, electromagnetic energy is key toward the maintenance of homotopy, and, it is phenomena that are of a Yang-Mills light-cone-gauge topology that is able to travel at the speed of light or faster.  This is why phenomena that are of a Yang-Mills light-cone-gauge topology are so key to the maintenance of homotopy.  It is phenomena that are of mass that work as the basis of the relationships of gravity, even though gravity effects all substringular phenomena to one extent or another.  Gravity is the main influence -- through the Rarita Structure -- of the networking of substringular phenomena via the various multiplicit cohomologies.  Mass, as it is generally conceived, is of a Kaluza-Klein light-cone-gauge topology.  This is why phenomena that are of a Kaluza-Klein light-cone-gauge topology work more toward the networking of superstrings via their various cohomologies -- as I will later explain in later sessions.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

Part Two of the First Session of Course 14

The impulse that I eluded to in the first part of this session is formed by the action of the superstrings that are taken from the moment of the last iteration of group instanton, to the moment right after the activity of the duration in which the space-hole happens -- which is right before the superstrings are undergoing the beginning of the BRST metrical portion of the ensuing group instanton.  The Bases of Light are formed on account of the condition that the space-hole temporarily disconnects the topological aspects of homotopy among superstringular-based fabric, and, just as this begins to happen, the eluded to general condition of homotopy snaps back into place in so that Cassimer Invariance may be maintained.  It is the properties of the fractal of pressurized vacuum that I call sub-mini-string that work to both snap homotopy into place, as well as to work to allow for such a reaction to apply in such a manner in so as to help the eluded to substringular phenomena to be redelieated to their ensuing distributions over the course of the next iteration of group instanton.  The subsequent arrangement of the Planck-like phenomena may be encoded, not only by their impulse, yet, also by their placement along the topological contour of the directly related respective Bases of Light. This is just as the quaternionic-instanton-field-impulse is commenced.  The appearance of the globally distinguishable arrangement of the Planck-like phenomena -- as well as their permittivity -- is controlled in part by their kinematic differentiation with the particle nature of light per iteration of group instanton.  This differentiation, when considered relative to the Ward-Caucy bounds, activity, and velocity of electromagnetic energy -- is called the phenomenon that is known of generally as the Lorentz-Four-Contraction.  One set of superstrings in one dimension that are contracted -- or made more massive by the discrete mass of one terrestrial-electron-based mass -- is one vielbian.

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

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

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

Point Particle Indices

What one ought to consider in this case is the condition of substringular recycling. Norm-states need to recycle into ground-states and ground-states need to recycle into norm-states. Substringualr norm-states are either Campbell-states, Campbell-Hausendorf-states, Hausendorf-states, or zero-norm-states. Norm-States are either moving in the forward or in the reverse holomophic direction during their extrapolatorial mapping over any given arbitrary metric that involves instanton. Over time, such a genus of holomorphic parity for individual specific first-ordered point particles may alter over various durations. Ground-States here are the first-ordered point particles that work to comprise superstrings and the counterparts of superstrings. So, in an indistinguishabely different manner that is not directly detectible, the initial recycling that I have here mentioned happens over time. If it wasn't for this recycling, the indices that are here comprised of first-ordered point particles would deteriorate in their ability to perpetually commute mini-string segments in any viable covariant manner, thus causing mini-string segments to stop being redelineated, of which would cause those transferring of substringular fields to cease -- which would end energy. Yet, the recycling of substringular indices is a conditional process which is a given over any given successive series of Fourier Translation. So, in so long as Cassimer Invariance happens, such recycling will perpetually happen. Samuel Roach.

The Tendancy of Homotopy

An eigenfunction is different from an eigenstate. Waves may be used to describe certain quantum forms of energy, certain quantum forms of field indices, and/or different forms of particles. De Broglie waves are waves that consider the wave-like nature of certain particles. An eigenfunction is a mathematical representation of an eigenstate. An eigenstate is an individual discrete phenomenon that bears a physical operation that works to correspond to a given arbitrary physical situation. The waves that form the field-networking that works to interbind superstrings are what I term of as mini-string. Mini-String is comprised of second-ordered point particles that bind into waves and wave segments that work to interconnect various substringular phenomena. Unfrayed substringular phenomena bears mini-string segments that do not collapse during individually considered eigenmetrics of group instanton. During what I terms of as the space-hole, mini-string segments that are not of frayed space-time-fabric almost break in topologically-based homotopy -- while then reconnecting in such a manner in so that the various substringular phenomena may fluctuate in the ensuing successive series of the iterations of group instanton so that motion may be freed-up enough so that energy may bear, at least to a certain degree, a manner of free-flowing activity so that energy may exist and persist spontaneously over time. Second-Ordered point particles are bound together in the various mini-string segments by sub-mini-string. Sub-Mini-String is not only what binds the directly prior mentioned point particles, yet, these sub-mini-string segments work to form the holonomic substrate that comprises third-ordered-point particles. The pressurized vacuum that acts as the basis of the composition of sub-mini-string is that force-like phenomenal entity that also works to allow for the inevitable tendancy of what happens during the duration in which the space-hole happens to thus occur. The directly related wave eigenstates that are unfrayed never disappear, yet, these may be displaced and/or redelineated to various different regions. The abiltiy of Cassimer Invariance to allow for the perpetual tendancy of substringular phenomena to interchange eigenstates to allow for the maintainance of homotopy per instanton is due to that activity that happen multiplicitly right before the instanton-quaternionic-field-impulse-mode. This activity is the virtual collapse of mini-string wave eigenstates that is always brought back into a completion of homotopy for unfrayed space-time-fabric in such a manner in so that the interconnectivity of substringular fields may be allowed to redelineate in so that motion may remain kinematic enough for energy to continue on its own.
Enough for now! I will continue with the suspense later! Sincerely, Sam Roach.

Another Look At the Cassimer Effect

It is a format of the ultimate fractal of pressurized vacuum, in the form that I term of as sub-mini-string segments, that binds the third-ordered point particles and the second-ordered point particles in such a manner in so that the directly related mini-string may comprise the substringular fields that work to form the activities and the phenomenology of the substringular.  The space-hole is when homotopy almost breaks down so that the substringular arrangements may be mildly altered in-between the individual iterations of instanton so that Gaussian Transformations may persist so that phenomena may spontaneously and persistently interchange eigenstates so that energy may continue to exist at all.  The space-hole, then, has a lot to do with Cassimer Invariance.  Cassimer Invariance is the perpetual tendency of substringular phenomena interchanging eigenstates to maintain homotopy per instanton.  Cassimer Invariance is thus helped by the conditional basis of the activities that happen during the space-hole.  The space-hole is allowed to happen due to the fifth force that I term of as the format of the ultimate fractal of pressurized vacuum.  As many people know, the Cassimer Effect is related to the condition of a pressurized vacuum.  This works to correspond the activities of Cassimer Invariance to the Cassimer Effect.  If it wasn't for the activities of Cassimer Invariance, once one superstring became frayed, all substringular phenomena would become frayed.  Yet, Cassimer Invariance is an activity that happens naturally as a fact of the substringular phenomena in general.  Here is more of a detailed explanation as to how the activities of the space-hole happen.:  The Bases of Light are in the process of being physically eigen to their general environment right before the instanton-quaternionic-field-impulse-mode right before an iteration of group instanton.  Just as this is happening, superstrings of discrete energy permittivity are just a tad bit closer to their direct substringular counterparts then these are to be toward one another during a typical iteration of what these would be like during an instanton.  The structure of the topology of the Ward-Caucy bounds  of  the said superstrings and their counterparts starts to slack in the physical Neumman-Ward bounds that exists in between these two formats of general physical phenomenology.  Just as this just mentioned slack begins to happen, the general eigenstates of the eluded to general topological structural basis snaps back due to the pull of the "re-energized" format of the ultimate fractal of pressurized vacuum -- the sub-mini-string has an added sub-permittivity that works to pull the general topological structural basis that exists in-between the said superstrings of energy permittivity and their directly corresponding counterparts back together in a manner that works to re-assort the general loci of the substringular regions in such a manner that works to allow form certain changes in the eigenfields of what are to be the altered substringular neighborhoods -- in so that Gaussian Transformations may be facilitated to reformat into the needed changes in norm-conditions that are here needed so that energy may be covariantly kinematic in a codeterminable and in a codifferentiable manner that allows for multiplicit substringular interaction among the perpetually changing scenes in the substringular.  Just as the condition of homotopy snaps back into what may be termed of as a definitively safe manner, the activity of such snapping works to pull the substringular encoders in toward each other in their region -- in such a manner that pulls upon the world-tube portions of space-time-fabric -- so that the quaternionic-instanton-field-impulse is here underway.  Such a stated impulse "breaks the huddle" of the conditions that happens during what I term of as being existent during the overt general eigencondition of the Bases of Light and the overt general eigencondition of the space-hole, so that superstrings may be brought back into the conditions that are necessary for the ensuing eigenstate of group instanton.  I will continue with the suspense later!
Sincerely,
Samuel David Roach

Topology And Connectivity

Superstrings, during the individual iterations of group instanton, are interconnected via a fabric that I call mini-string. Mini-String works to form the fields of superstrings that function to interconnect all unfrayed superstrings during the just mentioned iterations of group instanton. The phenomenon that I call the "space-hole" is that activity that works to re-delineate the homotopy of superstrings in such a manner so that both any frayed substringular phenomena will not pull phenomena that is to remain unfrayed into black-holes, and also, so that substringular phenomena may have a viable determination to be reassorted back with the appropriate Planck-like phenomena, and, in the designated loci of redistribution as to where the corresponding unfrayed superstrings are to go next -- after the given arbitrary related instanton-quaternionic-field-impulse that happens during Ultimon Flow happens right before group instanton. It is essential for that flow of Ultimon Flow in-between each iteration of instanton to happen so that the motion of superstrings will not be too jumpy. Otherwise, motion would not be hermitian, and thus, photons would implode upon attempted formation. Yet, that does not happen -- motion goes down to the infinitessimal so that motion may have the chance to bear its hermitian qualities. This is both in terms of Laplacian-based and Fourier-based codifferentiation. Homotopy is maintained on account of Cassimer Invariance. Cassimer Invariance is the perpetual tendancy of substringular phenomena to interchange eigenstates so that topology may be homotopically maintained per instanton. This elludes to why the condensed oscillation that comprises mini-string segments or substringular fields must be recycled in an indistinguishably different manner -- mini-string must fluctuate to an extent in its redelineations and redistributions so that superstrings and the changes in norm-conditions that are essentail for the perpetual motion of substringular spaces to happen may continue in a spontaneous manner. Sam.

The Basis As To How Cassimer Invariance Works

Cassimer Invariance works to reconnect homotopy during a duration that I call the "space-hole" in such a manner so that mini-string is brought into a topological interconnection between all of the unfrayed superstrings, due to the conditon that black-holes tend to currently "try" to eat up the mini-string that surrounds these during each group instanton.  The reconnection of homotopy is a condition that happens -- whether or not black-holes exist during particular given arbitrary group instantons -- as a mechanism, so that, if a black-hole were to possibly form in any future or present tense, such a formation of a phenomena that unfrays substringular phenomena may not be able to automatically harm the general conditon of homotoy.  The space-hole may also be considered the condition of substringular phenomena almost breaking homotopy so that there may be a reorganization of topological order so that motion may be spontaneously freed up, so that energy may persist.

A Little Bit About Substringular Couplings

What if a Yakawa Coupling that here existed in-between one set of superstrings had an even chirality, while the said Yakawa Coupling that also existed in-between another set of superstrings had an odd chirality, and, the two sets of superstrings that I just mentioned here in this given arbitrary case scenario were kinematically covariant?  The traits that I just described here by these two given sets of superstrings would have an assymetric J.  The compactification of the set of superstrings which had an even chirality would here propagate as a convergent series of holomorphic discharge, while, the compactification of the set of superstrings which had an odd chirality would here discharge Fock residue that would work to propagate as a divergent series holonomic eigenbasis.  As the two sets of superstrings that I just described interact as a reiterative variant operation, the assymetric-basis of their spin-orbital-interaction would here diverge as their angular momentum would simultaneously converge -- in a relativistical manner. As the spin of the two codifferentiating substringular traits that I just described work to polarize, in terms of their wave-tug delineations, the renormalization of their series output -- in terms of the consequent supplemental homotopic discharge -- this activity would here converge the local Poincaire distribution of the overall parity of the described given loci that is involved with the interaction of the two said traits.  The just mentioned two traits are here working to describe the interaction of the two said sets of superstrings that I have been describing in this given arbitrary case scenario.  The convergence that would then happen here would work to cause the given distribution of wave generators that are involved in this case to form a set of a fractal of covaliance. Such a "covaliance" would exist in-between the operational indices of those superstrings that worked to describe the two said traits.  These traits would here be eigen to the homostasis of a minimal variation of Ward-Caucy boundaries, when one is considering the desingularization of the corresponding substringular neighborhood fluctuations.  Such fluctuations would operationally allow for both the corresponding radial and transversal codifferentiation of a fixed matrical mode.  Such a mode would tend to not form critical cusps that would have a strong probablility of desolving upon an odd function of local kinematic transposition.  Once the corresponding transposition of the interactive decomposition that would result in the here mentioned case is encoded for by the substringular encoders -- while such a said transposition is iterated and reiterated in the same general process -- the corresponding Majorana-Weyl invariant anomalic substringulaar sway that would thence be formed by the related operation would spontaneously be nullified by the previous eigenaction.  The just mentioned activity would cause the corresponding Cassimer Invariant-mode to be physically integrated upon as a substringular fractal of a substrate, so that the resulting convergence of the insuing kinematic differential association may bear its correlative vibrational mode.  This would cause the creation of such a vibratory mode, of which would here produce eigenstates of Hamiltonian operation in terms of the resulting involvement.  This is so that the most directly inolved codifferentiable substringular trait that would be involved here would be able to then bear a Fourier-based condition of parametrically corresponding invariance.  I will continue with the suspence later!  Sincerley, Sam Roach.     

More About Gauge-Bosons

The Importance of E(6)XE(6) Strings

The importance of E(6)XE(6) strings is that these strings "pluck" the second-ordered-light-cone-gauge-eigenstates in such a manner so that vibrations known as Schwinger Indices may oscillate in such a way so that the Ricci Scalar may take effect. Schwinger Indices are vibrations that move along the Rarita Structure in such a way so that gravitational particles may have the kinematic operation that the metric-guage of such gravitational particles need so that these said particles may move in their respective regions so that gravity may take effect. Also, the vibrations of the Rarita Structure, which may be harmonic and or anharmonic, alow the motion of gravitational particles to exchange the Neilson Kollosh ghosts that these form with The Fadeev-Popov ghosts so that Cassimer Invariance may help to be sustained.

July 19, 2010

Part Two Of The Seventeenth Session Of Course Ten

As I was discussing, as the discrete units of the directorals that here correspond to the prior eluded tensors are considered over an arbitrarily given Fourier condition that inter-relates the related superstrings that work to comprise the assoicated said traits, residue that is here delineated over a relatively brief metric works to transversally and vibrationally commute a certain degree of "tingling" that lubricates the kinematic association that covariantly binds the two said traits.  The coupling that happens over the course of the prior mentioned brief metric is an arbitrary given example of a Yakawa coupling that here involves indices that works to allow a variance that translates a tense of Weyl covariance that tends to conform to the corresponding Ward Caucy conditions that work to define the physical boundaries of the said traits in all of the Fourier-based derivatives that involve the overall dimensional scope in which the superstrings that work to define the said traits exist in.  The corresponding Cassimer Invariance that will happen here -- if the related Yang-Mills supersymmetry is to here take hold -- will then attain a spontaneous metric that here involves a parity and dual chirality that will work to even out the loci of the settings over the duration in which each associated encodement is quantized.  Yet, if the corresponding Yang-Mills supersymmetry that we are to consider were to not be attained here, then the associated holomorphic residue will flow over the duration of the brief metric that inter-relates this second possible scenario -- after each reiteration that would thence happen between the homotopic indices of the said traits.  The prior mentioned metrical condition would cause the metaphorical-based "fluid" flow that I had initially mentioned in my last post to become perturbated in terms of its displacement over a tightly-knit Fourier Transformation in which the traits mentioned earlier will, in this case, not be as superconformally invariant as these otherwise would be.  Under the conditions of such a perturbation of what would otherwise be more delineatorial-based stable, the inter-related fractal of magnetic coupling that could be extrapolated here would involve an increase in magnitude as well as an increase in terms of the corresponding fractal of charge.  The "fluid" would then snap and recoil in terms of its delineation over the course of the prior mentioned tightly-knit Fourier Transform.  If the associated holomorphic index that would then exist under the directly prior mentioned conditions were to now increase in terms of action intensity over the course of the kinematics that would involve the covariance of the related eigenstates that are comprised in part by the superstrings that work to form the prior mentioned said traits, then the recoiled sections of "amorphous" quantitative topology may -- after the coure of the proper sequence of iterations and the proper series of wave discharge -- slip in terms of its positioning of local distribution as a folded manifold to where it would go back into a connection that would here exist in-between the hyperstates of the said traits in so that the exterior counterpoise that would here be physically present, as well as the corresponding hypnostates of the related holonomic ground-states, would then differentiate through time in a singularized manner in so that the given phenomena would then act as a theoretical homotopical-based eigenbasis.  Such an eigenbasis would here be partially codifferentiable in terms of the inter-relation of the covariance of the two said traits over a related Fourier Transformation in such a manner so that the related activity would work to draw in the quanta of a re-convergent norm projection. I feel that I am burning the candle at both ends.  I will continue into course 11 when my sanity lets me.  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.

Fuzz-Balls

An orbifold, when described in one set locus, is a Laplacianly integrated set of superstrings that function as a unit and obey Gaussian Symmetry.
When described as a "fuzz-ball" in one set locus, a "fuzz-ball" is a Laplacian conglomeration of frayed superstringular material that is perturbative within the non-linear/inexact sub-Fourier codifferentiation that is within the described "fuzz-ball", and does not obey a Gaussian Symmetry. The difference between an orbifold and a "fuzz-ball" is that an orbifold differentiates as one unit and is thus not internally perturbative, an orbifold consists of integrative superstrings while a "fuzz-ball" may consist of conglomerative superstrings and/or gauge-actions, and orbifolds obey Gaussian Supersymmetry while a "fuzz-ball" does not obey Gaussian Symmetry. An orbifold may differentiate in a conformally invariant manner, while a "fuzz-ball" is transient in arrangement as one set unit and does not maintain a topological invariance beyond a transient period of group metric. "Fuzz-Balls" are single units of frayed substringular mesh that partake of a black-hole.
Orbifolds undergo Gaussian Transformation when these differentiate as orbifolds, while "fuzz-balls" become unsewn by norm projections, at the exit end of black-holes, that work to redelineate the associated superstrings so that these superstrings will reorganize into orbifolds. Some newly formed orbifolds have superstrings, that just came from a locus of a "fuzz-ball" that was just spit out of a black-hole, that will immediately go into a Gaussian Transformation so that the associated superstrings will attain the permittivity that these need to remain as energy. Once an orbifold is established as a Gaussian matrix or membrane, then the Gaussian Transformations that follow will occur based upon the Clifford index of perturbation, which is euclideanly oriented with the associated Hodge Index of the given orbifold and Diracly oriented with the degree of Cassimer Invariance that acts upon the given orbifold. Perturbation upon an orbifold increases the spontaneity and frequency of the associated Gaussian Transformations. Such perturbations are generally interialized Yakawa interactions, interialized Gliossi wave, energy, and mass interactions, exterialized Yakawa interactions, Ricci Scalar redirectoralizations and changes in the amplitude of the given Ricci Scalar, and the interaction of interialized and exterialized and convergent Schwinger-Indices upon an orbifold's field, and the redistribution and the redirectoralization of norm-states and/or their projections.  

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