Pulsating Orbifold Eigenset At One Spot

Let us initially consider a Noether-based pulsating mass-bearing orbifold eigenset, that is here to be pulsating at a constant rate, even though such a said eigenset, is here to not be moving in a transversal manner --as this whole general process is here to be happening, over an evenly-gauged Hamiltonian eigenmetric.  Such a said eigenset is consequently to be spinning at a constant rate of acceleration (it is here to be accelerating, because, even though it is here to be spinning at a constant speed, since it is constantly to be changing in its direction, it is here to not be exhibiting a constant velocity), to where it is here to consequently bear partition-based discrepancies, that are here to be delineated in a coniaxial-related manner, in a spatial dimensional relationship that is here to be correlative to the conicenter of its overall axis of spin.  Next, let us say that the pulsation of the said orbifold eigenset, is here to increase in its speed, even though the overall axis of the directly corresponding tense of its spin, is here to maintain in its relativistic covariant distribution.  As the speed of the said spinning is here to increase in its covariant rate, the Lorentz-Four-Contraction due to the correlative increase in speed in relationship to light, is thence to increase in its scalar magnitude.  As this is here to happen, the directly corresponding Polyakov Action is thence to decrease in its scalar magnitude.  As this is here to be happening, the i*PI(del) action of such a given arbitary respective case, is consequently to become eminent in its kinematic activity, -- to where the said orbifold eigenset of such a respective case, is then to work to bear superstrings of discrete energy permittivity, that are then to tend to decrease in the number of their directly corresponding partition-based discrepancies, -- at the general proximal locus of the central axial-region, at which the spin that is to work to form the pulsation of the said orbifold eigenset, is here to be eminent in a kinematic manner. Sincerely, Samuel Roach.

Gauge-Metric-Related Pulsation And Its Correlative Tree-Amplitude Attribute

Let's initially consider an orbifold eigenset, -- that is here to be exhibiting a behavior that is to be tantamount to a gauge-metric, that is here to be pulsating through time and space, via a directly corresponding Hamiltonian operand, that is here to act as a binary Lagrangian-based path in time and space. Next, let's say that the relative velocity of such a said orbifold eigenset, is here to be maintained.  Let's next say that a Hamiltonian operator that is here to be exhibiting a tense of a holonomic substrate, that is here to make such a said operator to be tantamount to be acting as a phenomenology of metric-gauge, to where such a said Hamiltonian operator is to spontaneously couple in a Yukawa-related manner with the initially stated orbifold eigenset, in a manner that is here to subsequently work to help in causing the initially stated orbifold eigenset to alter in its Kahler-related quotient, in such a manner to where its directly corresponding Lagrangian-based path, is to alter into a resultant tense of acting as a tertiary Lagrangian-based path, -- to where the tree-amplitude-related tense of the motion of the initially stated orbifold eigenset, is to now to tend to work to bear an increase in its genus of knotted interaction with its immediate environment -- over an evenly-gauged Hamiltonian eigenmetric.  Such a perturbation in the Lagrangian of the motion of the initially inferred set of discrete energy quanta, that are here to operate in so as to perform one specific function, will then tend to work to cause the so-eluded-to orbifold eigenset, that has here to have increased in its genus of tree-based Lagrangian scalar, to become of more of a Yukawa-based influence upon the motion of the general region in which the said orbifold is here to be moving through, as it is here to have gone from acting as a metric-gauge that is here to have been traveling via a binary Lagrangian-based path, Into acting as a metric-gauge that is here to result in consequently to be traveling via a tertiary Lagrangian-based path.  I will continue with the suspense later! To Be Continued!Samuel Roach.

Inverted Dimensional-Related Pulsation And Antiholomrphic Kahler Conditions

Let us initially consider a superstring of discrete energy permittivity, that is here to initialy be in the process of moving via the mappable course of a De Rham cohomology.  After a while, a ghost-based inhibitor is to act upon the said superstring, to where it is here to work to bear a Lagrangian-based Chern-Simons singularity -- to where such a said superstring of discrete energy permittivity, is to then to be exhibiting the mappable course of a Dolbeault cohomology.  If the gauged-action of the ghost-based inhibitor that I have inferred here, is to work to help in causing the dimensional-related pulsation that is here to be of the said initially stated superstring, to consequently become inverted, just as the said string that is here to have just exhibited a change in more derivatives than the number of spatial dimensions that it is to be traveling in, to where such a discrete quantum of energy permittivity is then to have tended to have spontaneously exhibited the Ward-Cauchy-related state of a tense of antiholomorphic Kahler conditions, then, the said superstring of discrete energy permittivity that has just altered from exhibiting a De Rham cohomology into resulting into a consequent exhibition of a Dolbeault cohomology, will then, as well, act, in so as to be exhibiting a metric-based Chern-Simons singularity, at the general proximal local region at which the said Lagrangian-based singularity had occurred. This will consequently tend to work to cause the Kahler-Metric to interact in a Gliosis-related manner, upon the topological stratum of the holonomic substrate of the said string -- of which  has here to have just altered from exhibiting a De Rham cohomology into then exhibiting a Dolbeault cohomology.Sam Roach.

Mini-Stringular Segmentation And Second-Order Point Particles

In regards to my particular model of string theory, what works to form the intrinsic binding of the multiplicit homotopic inter-connections of Ward-Cauchy-based fields, that are here to exist in the substringular, is the the kinematic presence of what I term of as being "mini-stringular segmentation."  Mini-Stringular segmentation, is what tends to bind the vast array of substringular fields together, -- and this is comprised of here by what I term of as being tiny "beads" of second-order point particles, that are here to be held together by what I term of as being the kinematic presence of "sub-mini-string."  These just mentioned second-order point particles may be thought of as being balled-up third-order point particles, that are here to tend to be subtended, in a relatively invariant manner at an internal reference-frame,  from within the general Ward-Neumman bounds of these said second-order point particles.  Consequently; as the kinematic disturbances in space, that are of the wave-related vibrational oscillations of mini-stringular segmentation, -- is to become codifferentiable with its environment in a kinematic manner, to where this is thence to work to form the general tense of that multiplicit perturbation in time and space, that is here to work to allow for the general covariance of the wave-based interaction of such inferred superstringular fields, those second-order point particles are consequently to tend to bear a relative tense of conformal invariance at an internal reference-frame, even as the so-eluded-to external reference-frame that is here to be of the mini-stringular segmentation itself, is here to bear a relative tense of a continual covariant wave-related perturbation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Polyakov Action And Hyperbolic Approach

The slower that the rate is, of any given arbitrary superstring of discrete energy permittivity, when this is here to be taken in its relationship to the motion of electromagnetic energy, the lower that its directly corresponding Lorentz-Four-Contraction will consequently tend to be.  The lower the Lorentz-Four-Contraction is to be, for any given superstring of discrete energy permittivity -- the higher that its directly corresponding Polyakov Action will then tend to be.  The higher that the respective Polyakov Action will tend to be, for any given superstring of discrete energy permittivity -- the greater that the scalar amplitude will tend to be, of the hyperbolic approach of the correlative respective second-order light-cone-gauge eigenstates, that are of the proximal local self-same discrete quantum of energy, -- as such said respective second-order light-cone-gauge eigenstates, are here to work to interconnect the directly corresponding Fadeev-Popov-Trace eigenstate that is of the self-same discrete quantum of energy, To the initially stated superstring of discrete energy permittivity, of such a particular given arbitrary case scenario.  To Be Continued!  Sincerely, Samuel David Roach.

Non Orientable Superstrings And A General Tense Of Anharmonic Vibration

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

As To The Light-Cone-Gauge Of Electromagnetic Energy

Electromagnetic energy that Is Not in the process of being scattered, works to bear a non-abelian light-cone-gauge topology (of which is here, to be of a Yang-Mills light-cone-gauge topology).  This is because, -- even though photons are constructed as closed-loop-related phenomenology, the nature of those second-order light-cone-gauge eigenstates, that work to inter-connect the Fadeev-Popov-Trace eigenstate of any given arbitrary individually taken photon, when this is taken in a correlative relationship to the respective superstring of discrete energy permittivity, that is here to be directly corresponding to that discrete quantum of energy that is here to act as a photon, is here to bear a relatively sinusoidal tense of a wave-based approach, over the course of any given arbitrary respective iteration of the gauged activity of the Polyakov Action, of which is here to occur over the course of the beginning of a correlative iteration of a Planck Instant.   Electromagnetic energy that Is in the process of being scattered, works to bear an abelian light-cone-gauge topology (of which is here, to be a Kaluza-Klein light-cone-gauge topology).  This is because, -- the general type of a gauged action that is here to happen, as electromagnetic energy is here to be undergoing a Gliosis-related contact with another Ward-Cauchy-related phenomenology, is to act as a type of a substringular catylist, that is here to work to make the relative approach of those second-order light-cone-gauge eigenstates, that are here to be approaching the correlative respective superstring of discrete energy permittiivty, that is of a given arbitrary photon, From the correlative Fadeev-Popov-Trace eigenstate, to bear more of the nature of being relatively supplemental, aside from the general effect of the Polyakov Action,  at a level that is Poincare to the topological surface of the said second-order light-cone-gauge eigenstates, instead of being of more of a sinusoidal nature, instead.  This consequently works to cause the cohomology of light that is here to Not be in the process of scattering, to bear a greater scalar amplitude of a tense of indistinguishably different slippage, than the alternative attribute that is here to exist -- when light is here to, instead, to be actually in the process of scattering, -- to where the said respective electromagnetic energy is to, instead, to be in the process of working to bear a lower scalar amplitude of a tense of indistinguishably different slippage. Samuel Roach.

Delineation Of Strings At Orbifold Eigenset

Those superstrings of discrete energy permittivity, that work to comprise any given arbitrary orbifold eigenset, during the course of any one given arbitrary iteration of the generally noticed duration of Ultimon Flow, -- will  tend to be delineated at the topological surface of the external shell of the holonomic substrate, that is of the phenomenology of the respective given arbitrary cotangent bundle -- that is here to be of the delineated structure of such a said respective given arbitrary orbifold eigenset.  I will continue with the suspense later!  To Be Continued!  Samuel David Roach.

The General Manner In Which The Main Influences Of Nature Are Formed

The general basic forces of nature are implemented by the interaction of discrete energy, with the general transfer of those commutative Schwinger-Indices, -- that are here to be formed, by the plucking of second-order light-cone-gauge eigenstates by the multiplicit array of those gauge-bosons, that are here to exist at a substringular level.  Furthermore; as the countless orbifold eigensets that are here to exist at a very microscopic level, are to have a multiplicit general tendency of moving via a Lagrangian-based facilitation, that is here to bear a path-based tendency of veering into the relative forward-holomorphic path, to where their individually taken composite superstrings of discrete energy permittivity, are to consequently to tend to exhibit a cyclical attribute, of working to consistently bear a set of one ore more Lagrangiann and/or metric-based Chern-Simons singularities, in the process by which such a said orbifold eigenset is here to have an intrinsic drive into its inferred relatively forward-holomorphic path -- to where this whole general Ward-Cauchy-related tendency of attribution, will then tend to happen in such a manner, to where such inferred discrete quanta of energy are then to bear a cyclical tendency of exhibiting an interaction of the general gauge-action, that is here to be most directly associated with the formation of such earlier implied Chern-Simons singularities, With those propagated force-bearing Schwinger-Indices, that are here to be in the process of being transferred along the Rarita Structure.  The consequential interaction of such a general multiplicit genus of a gauge-action-related phenomenology of quantized space-time-fabric, With those force-based eigenstates, that are here to be most associated with the earlier inferred Schwinger-Indices, -- that are here to bear the workings of the Fourier-related transfer of  the attribution of the multiplicit seven basic forces of nature -- is part of what helps to work to explain the process of the embedding of the general tense of Chern-Simons Invariants Upon the general forces of nature, -- in so as to help at working to form the seven main influences of physical nature.Sam Roach.

A Tense Of A Nijenhuis Torque, That Works To Allow For The Subsequent Tachyonic Flow

When those individually taken given arbitrary superstrings of discrete energy permittivity, that work to comprise any one directly corresponding orbifold eigenset -- are to be unorientable, during both the Betti Action And in the directly corresponding subsequent Regge Action, -- then, the immediately ensuing said orbifold eigenset, is then to become of a tachyonic nature (to where, such an orbifold eigenset is to consequently to work to exhibit a tachyonic flow).  This is to where, -- right at the ending of the earlier inferred directly corresponding Regge Action, which is just before the respective  immediately ensuing iteration of the generally unnoticed duration of Ultimon Flow, there is to be a Nijenhuis-related torque, that is here to be applied to the holonomic substrate of the topological stratum of the earlier inferred superstrings of discrete energy, that work to comprise the said respective orbifold eigenset, to where this will consequently result in a reversing of the holomorphic-related "polarity" of the delineation of those partition-based discrepancies, that work to act as an index-related structural attribute, that is here to work to allow for the conservation of homotopic residue -- to where, as an orbifold eigenset is to increase in its velocity in relation to light, such an orbifold eigenset may then have the ability to continue, as retaining a capacity of remaining as Yau-Exact (to where such a said orbifold eigenset may still be able to generate as much cohomology as it is here to degenerate, over an evenly-gauged Hamiltonian eigenmetric.)  This may particularly be shown, to where, -- as the superstrings of discrete energy permittivity, that work to comprise such an eigenset, are here to undergo their correlative Lorentz-Four-Contraction, (which is the same for each of those individually taken said superstrings, that are here to work to comprise such a said eigenset), what will then actually transpire, as these just mentioned strings are to bear less partition-based discrepancies, as these are here to accelerate in their relative velocity in relation to light, the respective orbifold eignenet that these said strings are here to work to comprise, will consequently bear proportionably more mass-bearing strings, from within the Ward-Neumman bounds of this said orbifold eigenset, -- in order to help in the process of the said conservation of homotopic residue.Sam

Lagrangian-Based Cyclic Permutations

When any given arbitrary orbifold eigenset is to undergo a relatively continuous reverberative iteration of its overall set path-related positional delineations, over the duration of an evenly-gauged Hamiltonian eigenmetric, (which will consequently occur, over a sequential series of group-related instantons),  such a cyclical pattern of motion -- may often here be a given arbitrary tense or genus, of what may consequently be thought of, as a case, in which there may here be a proximal local set of one or more Lagrangian-based cyclic permutations, over a discrete span of time.  To Be Continued! Sam.

Substringular Motion And The Morphology Of Space-Time-Fabric

Whenever a substringular phenomenon is to move, over the course of time, -- it will tend to make at least some sort of an effect, upon part of the morphology of the topological stratum of space-time-fabric.  I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Vibration And Permutations

As any given arbitrary Noether-based mass-bearing orbifold eigenset, is to smoothly increase in its relative velocity, when this is here to be taken in its relationship to both the presence and the motion of light, it is accordingly to tend to consequently increase in its relative vibration-related pulsation, over a given arbitrary proscribed time, -- in which such an inferred acceleration of a respective orbifold eigenset, is here to be transferred through the fabric of time and space.  Furthermore -- as any given arbitrary mass-bearing Noether-based orbifold eigenset, is to smoothly increase in its relative velocity, when in its relationship to both the presence and the motion of light, its composite superstrings of discrete energy permittivity that work to comprise such an inferred respective eigenset, are then to accordingly to tend to consequently smoothly decrease in the number of those partition-based discrepancies, that are here to tend to help at working to allow for the conservation of homotopic residue -- via the codifferentiable kinematic activity of what I term of as being the "i*PI(del) Action."  Consequently -- if any given arbitrary mass-bearing orbifold eigenset, is to be undergoing a cycle, -- in which such an inferred set of discrete quanta of energy that operate in so as to perform a specific function, are here to go "back-and-forth" from initially accelerating smoothly in relation to both the presence and the motion of light To then subsequently decelerating smoothly in relation to both the presence and the motion of light, And son on and so forth, -- then, this general reverberation-related process, will therefore work to form a Ward-Cauchy-related process, which will here work to involve both a tense of metric-based cyclic permutations, as well working to involve a tense of Calabi-based cyclic permutations -- over a sequential series of group-related instantons, of which may be estimated with a relatively decent expectation value, via the determination of a potentially stipulated evenly-gauged Hamiltonian eigenmetric.  Since the orbifold eigenset of such a case, is cyclical in the directly corresponding pattern of its rate of dimensional-related pulsation, this general condition, will consequently tend to work to form a tense of metric-based cyclical permutations.  Furthermore -- since the superstrings of discrete energy permittivity, that work to comprise such an inferred orbifold eigenset of such a case, is cyclical in its directly corresponding pattern of those partition-based discrepancies, that are here to work to comprise part of the holonomic substrate of the topological surface of such said composite superstrings of discrete energy permittivity, that work to comprise the respective orbifold eigenset of such a general case, what will thence unfold, is that this will consequently tend to work to form a tense of Calabi-related cyclical permutations.  This is a dual condition of cyclic permutations, that are here to work together, in so as to work to allow for such a general geometric example of a cyclical attribution for such a case. Later!  To Be Continued!  I will continue with the suspense later!  Samuel David Roach.

A Mentioning Of Certain Types Of Cyclic Permutations

Today, -- we are going to discuss three different general types of Ward-Cauchy-related cyclic permutations, when this is here to be taken in a geometric-related tense:

Lagrangian-based cyclic permutations:

When a Ward-Cauchy-related phenomenon is to reverberate in an iterative manner, along the general realm of its Lagrangian-based path, over the duration-based course of a sequential series of group-related instantons, -- then, such a said Ward-Cauchy-related phenomenon, may be described of here as tending to work to bear a set of one or more Lagrangian-based cyclic permutations.

Metric-based cyclic permutations:

When a Ward-Cauchy-related phenomenon is to reverberate in an iterative manner, when in terms of a given arbitrary tense of its dimensional-related pulsation, over a sequential series of group-related instantons, -- then such a said Ward-Cauchy-related phenomenon, may be described of here as tending to work to bear a set of one or more metric-related cyclic permutations.

Calabi-based cyclic permutations:

When a Ward-Cauchy-related phenomenon is to reverberate, when in terms of an iterative process of a perturbation in the morphological geometric structure of such a said Ward-Cauchy-related phenomenon, -- then such a said Ward-Cauchy-related phenomenon, may be described of here as tending to work to bear a set of one or more Calabi-related cyclic permutations. Sam Roach.

A Brief Editorial About Light Speed

As an initial ansantz, light is the prime example that one is to generally think of -- when one is here to be talking about electromagnetic energy.  Light in a vacuum on earth -- when this is here to be taken into consideration of, by both the motion and the gravitational influences of our said earth, to where such inferred influences are here to work to effect the relative rate of such light -- works to help such said light, to travel at a velocity of 2.99792458*10^8 meters per second, under the just implied Cauchy-related conditions.  The fastest speed that electromagnetic energy (when not including Kirchoff Radiation), is capable of traveling at in a vacuum, is at a rate of 3*10^8 meters per second.  Furthermore -- the overall average rate in which light may be propagated at through a vacuum, -- is at a rate of 2.999999985*10^8 meters per second.  To Be Continued!  Sincerely, Samuel David Roach.

Cause Of A Certain General Tense Of A Mode

The quarternionic-instanton-field-pulse-mode, helps to work to cause the eminent relationship, that is here to exist between the multiplicit Hamiltonian tense of energy, and its directly corresponding multiplicit Lagrangian tense of energy.  The said respective Hamiltonian tense of energy, is the "thing" of any given arbitrary set quantum of energy, and, the said respective Lagrangian tense of energy, is the actual "motion" of any given arbitrary set quantum of energy.  Theoretically -- the eminent relationship that is here to exist, between the said Hamiltonian tense of energy and its directly corresponding said Lagrangian tense of energy, is here to be by a covariant factor of (-i); yet -- in order for there to be a unification of the inferred holonomic substrate of energy with its actual movement, over a sequential series of group-related instantons (which is here to be, over a set discrete increment of time), the actual relationship, is to bear a unitization of a tense of a particle/wave duality, -- to where this is here to simply be related to a covariant factor of (1).  The number ((-i)^4) = 1.  Consequently -- during any given arbitrary iteration of the generally unnoticed duration of Ultimon Flow, as the multiplicit substringular realm is just exiting the Space-Time-Fabric-Entanglement-Topological-Setting, (which is when the pressurized vacuum, that is here to exist between the multiplicit Fock Space and its directly corresponding multiplicit Riemann Space, is to work to act -- in so as to help in working to bring the vast array of discrete energy quanta into their ensuing delineation-related positioning, for the subsequent iteration of group-related instanton), the quaternionic-instanton-field-pulse-mode, is to happen in a Gliosis-related manner, upon the topological stratum of the holonomic substrate of each individually taken discrete quantum of energy, in so as to work to equate the theoretical attribute of a factor of a (-i), into the actual attribute of a factor of (1).  What works to help in causing this particular general tense of a mode, is the general Ward-Cauchy-related condition -- by which those first-order point particles that work to form the vast array of the superstrings of discrete energy permittivity, act in so as to fluctuate, -- from decompactifying their density by a factor of 10,000, when going into the generally unnoticed duration of Ultimon  Flow, into subsequently compactifying their density by a factor of 10,000, when going into the generally noticed duration of Ultimon Flow.  This works to metaphorically act like a "circulatory-like pumping" process (like a metaphorical heart, as it is "pumping" blood), in which the inferred cyclical process of going from a tense of a respective tense of a decompactification, into a subsequent respective tense of a compactification, -- is here to work to help in the process of continuing the flow of substringular energy, and thus, this works to help in the process of the continuation of the flow of energy, period.Sam.  I will continue with the suspense later! 

Coupling Of Equal And Opposite Holomorphic-Related Wave-Tug

Let us initially consider a discrete quantum of energy, that is here to be moving in the relative forward-holomorphic direction, in a euclidean-related manner, via a unitary Lagrangian, that is over a discrete increment of time.  Let us here consider in this particular case, that this one inferred discrete quantum of energy alone -- is here to simply be the overall energy of the system of this given arbitrary respective "case."  Next -- let's consider what was earlier stated, to be acting as the relative forward-holomorphic direction, to be of a Lagrangian-based directorial path, that may here arbitrarily be considered as heading into the relative "i" direction, over the earlier inferred discrete increment of time.  Since the said discrete increment of energy, is here to be the overall energy of the here mentioned respective given arbitrary system of such a particular case, one may then consider that the inferred discrete quantum of energy, is here to be considered as being the respective given arbitrary Hamiltonian Operator.  Furthermore -- the kinematic energy, when this is here to be taken as being the actual motion of this said respective Hamiltonian Operator, as taken over an evenly-gauged Hamiltonian operand, -- may here be considered as being the Lagrangian of this given arbitrary respective system of kinematic motion, over time.  {To paraphrase, as in accordance with Newton's Laws of Physics; for every action, there is an equal and opposite reaction, -- to where such an implied opposite "reaction," is here to be applied in the opposite direction from the initially stated action of such a general case.}  Consequently; As the implied discrete quantum of energy, that is here to be acting as the respective Hamiltonian Operator, is to be traveling in the relative "i" direction (which is here to be in the relative forward-holomorphic direction, or, to the relative "left"), -- there is an equal and opposite reaction of the space-time-fabric itself, that is here to be of the topological substrate of the earlier so-eluded-to Hamiltonian operand, that is here to be directed in the relative "-i" direction, -- upon the kinematic action of the said discrete quantum of energy's motion, as it is here to be traveling in the general manner of its innate tendency of directorial topological sway of wave-related tug.  Remember when I had mentioned in similar but different words, -- that the convergence of mini-stringular segmentation, upon those first-order point particles that work to comprise a superstring of discrete energy permittivity, is to tend to bear a relatively hyperbolic approach, towards that particular general genus of a cotangent bundle, that is indicative of the nature of superstringular Ward-Cauchy-related phenomenology?!  Since one is here to be dealing with the euclidean-related Motion of a cotangent-related bundle, that is here to be traveling via a unitary Lagrangian -- that is here to be of a nodal tense of such a cotangent bundle, via the convergent hyperbolic approach of mini-stringular segmentation, that is here to be propagated via a Legendre homology, over time, -- then, one may view that the overall relationship, in one manner of potentially  speaking, between the said Hamiltonian Operator and the said Lagrangian, -- may be viewed of as being related to each other, in a manner of speaking, in the following way, (When considering as well, the relationship between the Action of the discrete quantum of energy and the Reaction of its directly corresponding Hamiltonian operand):
((natural log of (i))*(natural log of (-i))).  To Be Continued! Sincerely, Samuel David Roach.

Torsion Upon Mini-Stringular Segmentation

Mini-Stringular segmentation works to form those superstringular fields, that are here to work to allow for the existence of homotopy (to where all unfrayed superstrings are here to be inter-connected, by means of a multiplicit field).  Mini-Stringular segmentation is formed, by the bead-like inter-connection of second-order point particles -- by a general phenomenology, that I term of as being called "sub-mini-string."  When there is to be the general proximal local presence of a hyperbolic convergence of mini-stringular segmentation, upon any one given arbitrary cotangent bundle that is to be approached in such a manner, there is then to tend to be more of a torsion-like activity that is here to be implemented upon the general topological stratum of such said mini-stringular segmentation, -- than instead, if there is to be the general proximal local presence of a euclidean convergence of mini-stringular segmentation, upon any one given arbitrary cotangent bundle, that is to otherwise to be approached in such a manner. To Be Continued!  Sincerely, Samuel David Roach.

Mass-Bearing Nodes

When any one given arbitrary Noether-based orbifold eigenset is to increase in its velocity in relation to electromagnetic energy, those individually taken superstrings of discrete energy permittivity that work to comprise such a said eigenset, are consequently to tend to increase in their attribution, as a set of mass-bearing nodes in time and space.  As a Noether-based superstring of discrete energy permittivity is to increase in its attribution as a mass-bearing node, it will consequently tend to work to bear less, of what I term of as being "partition-based discrepancies."  As such a Noether-based superstring of discrete energy permittivity is to increase in its velocity, in relation to electromagnetic energy, it will increase in its Lorentz-Four-Contraction -- and thereby decrease in its directly corresponding Polyakov Action.  This is part of the reason as to why a Noether-based superstring with a relatively lowered Polyakov Action, will tend to bear less partition-based discrepancies.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Unorientable Superstrings And The Change In A Certain Tense Of Symmetry

Let us initially consider one given arbitrary mass-bearing orbifold eigenset.  All of those superstrings of discrete energy permittivity, that work to comprise such a said eigenset, are here to work to bear both the same Lorentz-Four-Contraction, and, the same scalar amplitude of the correlative Polyakov Action.  When the given arbitrary superstrings of discrete energy permittivity that work to comprise such a said orbifold eigenset, are to be unorientable during both one given arbitrary respective iteration of the Betti Action, and its immediately ensuing correlative iteration of the Regge Action, each of these eluded-to individually taken superstrings are, at this point in correlative duration, to lack a homeomorphic field -- when this is to be considered from within that core-field-density, that is here to exist in the proximal locus, that is to exist in-between the said superstring of discrete energy permittivity and its directly corresponding counter string (of discrete energy permittivity).  This will consequently work to cause those partition-based discrepancies, that work to help in the process of the  conservation of homotopic residue, for both the said string and its directly corresponding counter string, to perturbate into a condition -- in which the respective delineation of such a said set of partition-based discrepancies, is then to tend to spontaneously ensue, in so as to go into the process of reversing in the holomorphicity of their correlative placements -- to where this will then tend to reverse the direction by which the E(8)XE(8) stringular oscillation-based tendency is to be projected through.  This will consequently tend to often help in the process of working, in some cases, to potentially work to allow for a tense of a backward flow of time.  To Be Continued!  Sam Roach.

Even Cotangential Flow

When the Lorentz-Four-Contraction is here to be maintained, for any one given arbitrary superstring of discrete energy permittivity -- consequently, -- those first-order point particles that work to comprise such a said string, are here to work to bear just as much of a net hyperbolic cotangential flow of an ebbing of mini-stringular segmentation, that is here to be converging upon it , over any one proscribed evenly-gauged Hamiltonian eigenmetric, over which such a said Lorentz-Four-Contraction is here to be staying at the same scalar amplitude; as there is here to be a net hyperbolic tangential flow of an ebbing of mini-stringular segmentation, that is here to be diverging from it, over any one proscribed evenly-gauged Hamiltonian eigenmetric, over which such a said Lorentz-Four-Contraction is here to be staying at the same scalar amplitude.  To Be Continued! Samuel David Roach.

When The Polyakov Action Is Not Perturbative

Let us initially consider a given arbitrary orbifold eigenset, of which is here to be comprised of by the presence of mass-bearing superstrings of discrete energy permittivity.  The multiplicit Polyakov Action of these composite superstrings, is here to bear a respective tense, that is currently here (over a correlative evenly-gauged Hamiltonian eigenmetric) to not be of a perturbative nature.  During the course of such an inferred correlative sequential series of group-related instantons (which is here to be over the course of the earlier implied evenly-gauged Hamiltonian eigenmetric), the composite superstrings of discrete energy permittivity -- are here to each, when individually taken, to work to bear an iterative tense of the Polyakov Action, that is here to not be in the process of being perturbated.  Since the correlative tense of the Polyakov Action, that is here to be applied to the covariant fluctuation of the topological statum of such implied strings, is here to be maintained in its scalar amplitude, for the effectual import of the correlative conservation of homotopic residue of this particular case, when this is here to be taken in terms of the directly corresponding attribute, by which the correlative Lorentz-Four-Contraction that is here to be applied to the eminent condition of such said strings, is here to currently be maintained, to where this will consequently work to mean, that the relative motion of these said composite strings, when in their relationship to both the presence and the motion of electromagnetic energy, will consequently work to be maintained.  Furthermore -- this will consequently mean, that the directly corresponding i*PI(Del) Action will then, at this point in codifferentiable duration, act, in so as to tend to Not be eminent in its kinematic translation, over the so-eluded-to proscribed duration of time, in which the said respective tense of the Polyakov Action is here to Not be in the process of altering for these said superstrings of discrete energy permittivity, that are here to work to comprise the earlier mentioned orbifold eigenset of such a given arbitrary case.  To Be Continued!  Sincerely, Samuel David Roach.

Cohomology And Tense Of Substringular Flow

When a mass-bearing superstring of discrete energy permittivity is moving via a Noether-based flow, it will tend to bear a cohomology -- that is shaped in the nature of being as a euclidean toroidal-related geometric tense of a structural genus.  Furthermore -- when a mass-bearing superstring of discrete energy permittivity is moving via a tachyonic-based flow, it will tend to bear a cohomology -- that is shaped in the nature of being as a hyperbolic toroidal-related geometric tense of a structural genus.  I will continue with the suspense later! To Be Continued! Samuel David Roach.

Reverse-Polarity Of E(8)XE(8) Stringular Oscillation-Based Tendency

When the E(8)XE(8) stringular oscillation-based tendency is to reverse in its polarity, this general process will consequently tend to reverse the direction -- in which that general motion that works to cause the fortification-related activity, by which the main influences of physical nature are to be implemented, are thence to be able to happen as needed, over time. To Be Continued! Samuel David Roach.

Unorientable Strings And The E(8)XE(8) Stringular Oscillation-Based Tendency

Let's consider a mass-based orbifold eigenset.  When the superstrings of discrete energy permittivity, that work to comprise such a said eigenset, are to be unorientable -- both during any one particular given arbitrary iteration of the Betti Action, and the immediately ensuing correlative Regge Action, -- such an inferred set of strings, will then subsequently ensue to become of a tachyonic nature.  This will then work to consequently result, in a reverse-polarity of the holomorphicity of the correlative Fourier-related codifferentiable placements of those partition-based discrepancies, that are here to work to be most directly associated with the directly correlative process, of the here pertinent i*PI(del) action.  This will then work to consequently cause a reverse-polarity in the Fourier-related translation, of the directly corresponding E(8)XE(8) stringular oscillation-based tendency, -- since the E(8)XE(8) stringular oscillation-based tendency, is most associated with the eminent relationship that is here to exist -- between the Betti Action and the correlative i*PI(del) action.Samuel David Roach.

Clifford Expansion Versus Euclidean Compression

A given arbitrary Ward-Cauchy-related Clifford Expansion, that works to involve a tense of a substringular divergence, tends to work to involve a tense of a general genus of a Cevita interaction; whereas -- a given arbitrary Ward-Cauchy-related euclidean compression, that works to involve a tense of a substringular convergence, tends to work to involve a tense of a general genus of a Wess-Zumino interaction.  This is because any given arbitrary Ward-Cauchy-related Clifford Expansion, that works to involve a tense of a substringular divergence, works to involve a tense of a Rayleigh scattering (to where the adjacent scattered eigenindices, are here to tend to bear an odd parity); whereas -- any given arbitrary Ward-Cauchy-related euclidean compression, that works to involve a tense of a substringular convergence, tends to work to involve a tense of a Riemann scattering (to where the adjacent scattered eigenindices, are here to tend to bear an even parity.) To Be Continued!Sam Roach.

One Fascinating Particular Genus Of A Bianchi-Related Oscillation

When a superstring is to be vibrating via the stipulation of more axial-related parameters, than the number of spatial dimensions that is is here to be in the process of being transferred through, over any one given arbitrary directly corresponding duration, -- then, such a said superstring, will then tend to work to bear a specific general genus of a Bianchi-related oscillation, at that respective Poincare-related field -- that is here to be proximal local to the core-field-density, that is Gliosis to the kinematic translation of that disturbance of space, by which such a said Bianchi-related oscillation, is here to be in the process of acting through as such a general tense of motion, in such a manner.Sam.

In The Case Of A D-Field

A d-Field, is a substringular field -- that is here to exhibit a minimum of six spatial dimensions, plus time, -- over the course of the process of any given arbitrary directly affiliated Fourier Transformation, in which such an inferred Ward-Cauchy-related phenomenon, is here to act as being of a "d-field."  Aside from the three directly pertinent spatial dimensions that we are most familiar with, the fourth spatial dimension, is here to act as an elongated spiraling spatial dimension.  The next two spatial dimensions that are less obvious to us as people, are curled-up -- from within the Ward-Neumman confines of the four already inferred spatial dimensions, that I have here just eluded-to.  The "fifth" spatial dimension is curled-up, in such a manner -- to where it is here to be orthogonal in a Nijenhuis manner, to the fourth said spatial dimension, -- as may here be imagined in accordance to the right-hand-rule.  The "sixth" spatial dimension is curled-up, in such a manner -- to where it is here to be orthogonal in a Nijenhuis manner, to the fifth said spatial dimension, -- as may here be imagined in accordance to the right-hand-rule.  When it comes to any given arbitrary field, that is here to work to bear even more spatial dimensions than the minimum number of spatial dimensions, that may be exhibited by a d-field, -- this is what the general pattern, as to the presence of any added proximal local spatial dimensions -- that may potentially be attributed to the spatial parameters of the  Gliosis-related topological surface, of any superstring of discrete energy permittivity, -- that is here to incorporate the innate condition, of working to bear any more than six spatial dimensions plus time. Sam Roach.

Hyperbolic Convergence And The Polyakov Action

The lower the Lorentz-Four-Contraction, the greater the Polyakov Action.  The greater the Polyakov Action, the more hyperbolic the convergent approach that is here to exist -- between any one given arbitrary Fadeev-Popov-Trace eigenstate, and its directly corresponding given arbitrary respective superstring of discrete energy permittivity, -- over the course of any respective correlative iteration of BRST.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Some Stuff As To F-Fields

Let us consider the workings of an f-field.  It is here, in this particular case, to be of a superstring of discrete energy permittivity, -- that is proximal local to a given arbitrary mass-bearing orbifold eigenset, that is Gliosis to the topological stratum of  one given arbitrary  nucleon of an atom.  As I have stated before, an f-field is here to consist of a phenomenon, that is here to exist in a minimum of four spatial dimensions, plus time, -- over the course of any correlative respective Fourier Transformation, that is here to be pertinent to any directly associated situation, in which one is here to be considering the workings of such a said orbifold eigenset, that is here to be kinematic in its eminent relationship as acting as an f-field.  Aside from the three spatial dimensions that we, as people, are most familiar with, -- the fourth added spatial dimension, may here be described of as behaving as an elongated spatial parameter, that is here to be of a spiraling nature -- at any one given arbitrary respective Laplacian-related Ward-Cauchy-based condition, in which such a just inferred added fourth spatial dimension, is here to be considered.  This said elongated spatial dimension, that is here to behave in a spiral-like manner -- is to bear a helix-related nature, that is to here to bear a greater scalar amplitude of a torsion-like characteristic -- as the energy per time that is here to be applied to such a said f-field, is to increase in its directly corresponding scalar amplitude.Sam Roach.

General Genus Of Cotangent Bundle

That general genus of a cotangent bundle, that is directly associated with the proximal locus of the convergence of mini-stringular segmentation upon the holonomic substrate of a superstring, is to tend to work to be most associated with the hyperbolic cotangent function; whereas, -- that general genus of a cotangent bundle, that is directly associated with the proximal locus of the convergence of mini-stringular segmentation upon the holonomic substrate of the presence of the countless array, of what I term of as being the physical entities of norm-state-projections, is to tend to work to be most associated with the euclidean form of the cotangent function.  To Be Continued!  Samuel David Roach.

More As To The General Interactions Related To Cohomology

The general condition, as to the interactions of point commutators with superstrings -- consequently works to form the general condition, -- as to the multiplicit stratum of cohomology.  Point commutators exist as a set of one or more first-order point particles, that are generally interconnected, in one manner or another, by that holonomic substrate of mini-stringular segmentation, in which the multiplicit homotopic field (which is, as well, to be comprised of by a general tense of mini-stringular segmentation), that is here to be external to the core-field-density of such said point commutators, is here to tend to typically bear a relatively euclidean approach, in its convergence upon the topological surface of the here holonomic substrate, of such inferred point particle eigenstates.  Superstrings exist as a set of one or more first-order point particles, that are generally interconnected, in one manner or another, by that holonomic substrate of mini-stringular segmentation, in which the multiplicit homotopic field (which is, as well, to be comprised of by a general tense of mini-stringular segmentation), that is here to be external to the core-field-density of such said point particles, is here to tend to typically bear a relatively hyperbolic approach, in its convergence upon the topological surface of the here holonomic substrate of such inferred point particle eigenstates.  Point commutators tend to bear more of a "jointal" tense of topological stratum; whereas, superstrings tend to bear more of a "smooth-curved" tense of topological stratum.  Consequently -- the general condition,  as taken at a Ward-Cauchy-related level, -- as to the interactions of relatively "jointal" phenomenology in the substringular -- that are here to work to bear an externalized field, that is to bear a relatively euclidean approach of those directly corresponding mini-stringular eigenstates, that are here to converge upon such mentioned "jointal" phenomenology, -- upon the topological stratum of relatively "smooth-curved" phenomenology in the substringular -- that are here to work to bear an externalized field, that is to bear a relatively hyperbolic approach of those directly corresponding mini-stringular eigenstates, that are here to converge upon such mentioned "smooth-curved" phenomenology -- consequently works to form the general condition, -- as to the multiplicit stratum of cohomology.  I will continue with the suspense later!  To Be Continued! Samuel David Roach.

Solitons And Hyperbolic Convergence

Solitons are a tense of a wave-packet.  In the substringular, a soliton tends to exist in the form of a complex manifold.  Like many other different types of Ward-Cauchy-related phenomenology, solitons work to bear a holonomy, that exists in the form of a convergence of substringular core-field-density, -- that may here be expressed as being of one genus or another, of a cotangent bundle of a given arbitrary tense of spatial dimensionality.  Since a substringular tense of a soliton, is here to be of the essence of a complex manifold, -- the convergence of substringular field eigenstates -- that is here to be in the form of the correlative convergence of mini-stringular segmentation, upon the holonomic substrate of that directly corresponding cotangent bundle, that is here to be expressed as the here inferred superstringular soliton of such a given arbitrary respective case,  is consequently to bear a greater scalar amplitude of a hyperbolic approach, towards the Poincare level of the topological surface of the here implied holonomic substrate of this stratum of the said substringular soliton, than there would otherwise be in the case of a similar but different approach, if one were, instead, to be considering what the hyperbolic approach would be, of the convergent superstringular core-field density -- in the form of incoming netted mini-stringular segmentation -- towards the Ward-Cauchy-related stratum of a substringular field, that is to be of a more Real Riemannian tense of a dimensional nature.  One could consequently venture to say -- that the convergence of subsringular core-field-density upon the resultant cotangent bundle of a soliton, will then tend to bear a greater scalar amplitude of acting in such a manner, that behaves like a Laplacian-related Inverse Clifford Expansion, than such an otherwise tense of a convergence of substringular core-field-density would behave as, again, if it were to otherwise be of more of a Real Riemannnian nature.   To Be Continued!  Samuel David Roach.

Neat Stuff As To Lagrangian-Based Chern-Simons Singularities

When a given arbitrary Noether-based orbifold eigenset (a set of discrete quanta of energy, that operate to perform a specific function), is to alter in its Lagrangian-Based flow, -- from initially moving via a hyperbolic path, into then sporadically moving via a euclidean-related path, -- this will then often tend to directly involve the formation, of a set of one or more Lagrangian-Based Chern-Simons singularities in the inferred process.  I will continue with the suspense later! Samuel David Roach.

More As To Both Metric And Lagrangian-Based Chern-Simons Singularities

Whenever a given arbitrary orbifold eigenset is to sporadically alter in its acceleration, it will tend to work to bear a set of one or more metric-based Chern-Simons singularities.  Furthermore, -- whenever a given arbitrary orbifold eigenset -- that is here to initially be traveling in a euclidean-related manner, in the relative forward-holomorphic direction -- is to sporadically alter in its Lagrangian-Based path in a hyperbolic way, in a manner that is both orthogonal and Nijenhuis, this will tend to work to bear a set of one or more Lagrangian-based Chern-Simons singularities.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Alteration Of Dimensionality And The Perturbation Of The Kahler-Metric

Whenever the spatial dimensionality, that is here to be directly corresponding to those superstrings of discrete energy permittivity that work to comprise any one given arbitrary orbifold eigenset, -- is to alter in a sporadic manner, -- this will tend to consequently result in a perturbation in the directly corresponding Kahler-Metric, that is here to be Yukawa to the dimensional-related pulsation of the respective given arbitrary orbifold eigenset, of such a case. Samuel David Roach.

Superstrings Of Discrete Energy Permittivity That Are Of One Specific Orbifold Eigenset

Over the course of any one specific given arbitrary iteration of BRST, when after the Polyakov Action -- all of the superstrings of discrete energy permittivity, that work to comprise any one specific given arbitrary orbifold eigenset, -- are to both bear the same number of spatial dimensions, bear the same general shape, bear the same scalar amplitude of Lorentz-Four-Contraction, bear the same number of partition-based discrepancies, as well as each of such inferred strings of discrete energy permittivity, to here be in the process of working to bear both the same general delineation-related spacing of their respective partition-based discrepancies, and the same tendency as to the proximity of such said respective given arbitrary partition-based discrepancies.Samuel David Roach.

Dimensions, Kahler-Based Quotients, And Partition-Based Discrepancies

Let us initially consider two different mass-bearing orbifold eigensets, that are here to be moving at the same velocity -- when this is taken in relation to the motion of electromagnetic energy.   Both of such orbifold eigensets, are thence to work to bear the same scalar amplitude of a Lorentz-Four-Contraction. Both also work to bear the same scalar magnitude of mass.  Both also work to be moving through two different paths, that are here to involve the same general genus of a Lagrangian-based path.  One of these inferred mass-bearing orbifold eigensets is to bear a higher spatial dimensionality, than the other inferred mass-bearing orbifold eigenset.  That orbifold eigenset mentioned -- that is here to work to involve a higher number of directly involved spatial dimensions, will then tend to work to bear a greater Kahler-based quotient, than the other inferred orbifold eigenset.  Since the Laplacian-related spread of the delineation of those partition-based discrepances, that work to exist along the topological contour of any one given superstring of discrete energy permittivity, is to be of a relatively homogeneous nature, and also, since the two earlier inferred orbifold eigensets are to both to work to bear the same scalar amplitude of a Lorentz-Four-Contraction, -- not only will all of the superstrings of discrete energy permittivity, that work to comprise both of the here inferred orbifold eigensets of such a given arbitrary respective case, work to bear the same number of partition-based discrepancies, -- yet -- there will, as well, tend to be a tighter proximity of such inferred partition-based discrepancies, among those superstrings of discrete energy permittivity, that work to comprise that orbifold eigenset, that is of a lower number of spatial dimensions, than that attribution of the proximity, that is of those inferred partition-based discrepancies, that are here to exist at the Poincare level -- that is proximal local to the bearings of the topological contour of that orbifold eigenset of such a given arbitrary case, that is, instead, to be of a higher number of spatial dimensions.  Sam Roach.

Lorentz-Four-Contraction And Relative Length

Let us initially consider a mass-bearing orbifold eigenset to be moving, at just under the speed of light.  It's Lorentz-Four-Contraction, is here to be 3*10^8.  The given arbitrary respective orbifold eigenset, is here to be traveling in the relative forward-holomorphic direction.  The said eigenset is here to work to bear 3*10^8 times as much mass, than it would normally have, when at a relative terrestrial standstill.  This will then work to mean, that this said given arbitrary orbifold eigenset, is here to work to bear the proximal local presence, -- of 3*10^8 times as many mass-bearing superstrings of discrete energy permittivitiy, than it normally would have, if at a relative terrestrial standstill.  This will then work to mean, that such a said orbifold eigenset, is here to tend to be quite significantly denser, -- than it would otherwise be, if it were, instead, to be traveling at a much slower rate, in relation to the motion of light.  Since the said respective orbifold eigenset, is here to be much denser -- it is here to bear a much greater gravitational wave-tug, upon its immediate physical environment, at a level that is Poincare to the general spatially differentiable region, at which the inferred eigenset is to be moving through.  Since the said eigenset is here to work to bear a greater gravitational wave-tug for its size, it will consequently tend to work to draw its composite mass-bearing superstrings of discrete energy permittivity inward, in a euclidean manner, that is of a proportionality, that is correlative to the directly corresponding Lorentz-Four-Contraction.  This will thence, tend to work to make the length of the initially stated orbifold eigenset, -- when this is here to be taken in the holomorphic direction of its motion, that is here to be at just under light speed, -- to tend to bear a Lorentz-Four-Contraction, when this is taken in a relativistic manner to a terrestrial observer, to then become thinner, by a factor of 3*10^8.  I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Partition-Based Discrepancies And Tachyonic Flow

As a general concept -- when a given arbitrary orbifold eigenset is to alter, from initially working to bear a Noether-based flow Into subsequently working to bear a tachyonic flow, -- those partition-based discrepancies that are here to exist along the topological contour of those superstrings of discrete energy permittivity, that work to comprise the inferred  given arbitrary respective orbifold eigenset, are then to shift Towards the relative reverse-holomorphic positioning from the proximal local designation where these had originally been delineated -- when such an inferred mass-bearing orbifold eigenset is to go from just under the speed of light, to going at or beyond the speed of light.  Samuel David Roach.

Importance Of E(8)XE(8) Stringular Oscillation-Based Tendency

The general workings of the i*PI(del) Action, helps to work to explain, at the substringular level -- as to why the general processes of General Relativity are here to act as these do.  The general workings of the Betti Action, helps to work to explain, at the substringular level --  as to why the general processes of the Noether Current are here to act as these do. Since the eminent intrinsic relationship between the workings of the i*PI(del) Action and the Betti Action, is directly associated with the activity of the E(8)XE(8) stringular oscillation-based tendency -- such a just stated inferred general genus of a "tendency," works to unify the premises, to a reasonable extent, -- as to how and why there is a direct association between the activity that is  here to be correlative to General Relativity, and the activity that is here to be correlative to the Noether Current.  'Till Later!  Sincerely, Samuel David Roach.

What The E(8)XE(8) Stringular Oscillation-Based Tendency Is

In general -- the E(8)XE(8) stringular oscillation-based tendency, is the eminent intrinsic relationship that is here to exist, -- between the i*PI(del) Action and the Betti Action.  Samuel David Roach.

The Main Difference In Function Between Gauge-Boson Eigenstates And The E(8)XE(8) Stringular Oscillation-Based Tendency

The main difference between the function of gauge-boson eigenstates (E(6)XE(6) strings) and the function of the E(8)XE(8) stringular oscillation-based tendency -- is that gauge-bosons work to help in the general process of forming the basic forces of physical nature; whereas, the E(8)XE(8) stringular oscillation-based tendency, works to help at either the general process of fortifying the basic forces of physical nature, or, at moving in the direction of the general process of reversing this fortification of the basic forces of physical nature.  To Be Continued!  Sincerely, Samuel David Roach.

The Yin(g) And The Yang, And The E(8)XE(8) Stringular Oscillation-Based Tendency

When a Legendre homology that is isotropically stable is to act upon the E(8)XE(8) stringular oscillation-based tendency, this will tend to form a non abelian torque upon the general holonomic substrate of homotopy; whereas -- when a Legendre homology that is isotropically unstable is to act upon the E(8)XE(8) stringular oscillation-based tendency, this will tend to form an abelian torque upon the general holonomic substrate of homotopy. The propagation of a Legendre homology that is isotropically stable, tends to be more associated with the Yin(g) than the Yang; whereas -- the propagation of a Legendre homology that is isotropically unstable, tends to be more associated with the Yang than the Yin(g).  This is part of the reason -- as to why the Yin(g) is here to tend to be  more appertaining to a creative "force"; whereas -- the Yang is here to tend to be more appertaining to a destructive "force."  I will continue with the suspense later!  To Be Continued!  Samuel Roach.

Some Stuff As To The Geometry Of The Fadeev-Popov-Trace Eigenstate

The following is the general idea, as to the composition of the differential geometry of a given arbitrary Fadeev-Popov-Trace eigenstate -- that is here to be of the essence of the activity of a Noether-related flow:

Initially I would like to work to begin to describe the general idea, behind such an inferred geometrical construction.  Let's say that one were to consider here, that the forward-holomorphic direction is to be considered to be going towards the relative "left."  Consequently -- the norm-to-forward-holomorphic direction is here to be at the relative "top," and the norm-to-reverse-holomorphic direction is here to be at the relative "bottom."  One is here to have a Chi-like-shape of a component of such a Trace, that is here to have two different ellipses inscribed at the region, that is Poincare to being just external to the center of such a said Chi-like shape of a component of such a Trace, -- to where one of such ellipses, is here to act as being inter-woven upon the region, that is here to be at just "above" and to the center of the said Chi-like shape, and the other of such ellipses, is here to act as being inter-woven upon the region, that is here to be at just "below" and to the center of the said Chi-like shape.  Next, for reasons that you may soon understand as to why -- let's arbitrarily take the mapping of a Laplacian-based Wilson Line, and trace this mappable line across the inferred relative "top" of this trace;  as well as arbitrarily taking a mappable Laplacian-based line, and tracing this line across the inferred relative "bottom" of this trace.  (These two just mentioned "lines" are not actually part of the inferred Fadeev-Popov-Trace, yet are here to act solely as a means of helping with my description of the implied Trace of such a case, as you soon shall see.)  Next -- map-out a Wilson-based line, from the relative "top" mapped-out line to the relative "bottom" mapped-out line.  This distance will here be of the general scalar magnitude of about 10^(-43) of a meter in length.  The general Chi-like shape of a Trace, will be constructed as two intersecting trace-like curves.  This Trace will here work to bear the equivalence of two intersecting curves, that are to dually be of the nature of acting on the order, as being similar to {y = x^3, y = -x^3}, except, that at the four implied corners of the overall Chi-like portion of such a Trace, the inferred appendages of the implied  partial components of this said Trace, when at a level that is here to be Poincare to the topology of this inferred part of the composition of such a Fadeev-Popov-Trace eigenstate, is here to mildly change in its concavity in a Nijenhuis-related manner, over a relatively brief translation of space, in so as to work to complete the Chi-like component of such an eluded-to individually taken eigenstate.  Next -- the two earlier mentioned oval-like shapes, that are here to be inscribed at those relative positionings, that are here to be inter-woven at both just above and just below the intersecting center of those curvatures, that are here to be of the earlier inferred  Chi-like partial component of the general genus of such a Trace, whose differential geometry I am working to describe, are here, to work to bear a scalar magnitude, of a maximum "length," that is here to be on the order of about 5*10^(-44) of a meter in spatial translation; as well working to bear a scalar magnitude, of a maximum "width," that is here to be on the order of about 2.5*10(-44) of a meter in spatial translation.  Both of such inferred "oval-like-shapes," are here to reach their respective norm-to-forward-holomorphic end, and, their respective norm-to-reverse-holomorphic end, -- at the general proximal local region, at which one had here to have mapped-out the respective Laplacian-related Wilson Lines at those implied extremes, that I had earlier indicated, in so as to get a better idea as to the gist of what I am working to convey here.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More About Cotangential Flow

The general cotangential flow of mini-stringular segmentation, that is here to converge upon those first-order point particles that work to comprise superstrings, during the Polyakov Action -- tends to work to bear a higher scalar amplitude of a hyperbolic approach, -- than the general cotangential flow of such mini-stringular segmentation, that is here to converge upon these same first-order point particles -- during the course of the rest of the process of BRST.  To Be Continued!  Samuel Roach.

In General -- How Chern-Simons Invariants Are Embedded

Here is, in general, how Chern-Simons Invariants are embedded upon the basic forces of nature:

An orbifold eigenset has a tendency of "wanting" to move in its intrinsic holomorphic direction, over any one given arbitrary respective evenly-gauged Hamiltonian eigenmetric.  Those superstrings of discrete energy permittivity, that work to comprise any one given arbitrary set orbifold eigenset, will tend to work to have the same intrinsic holomorphic tendency as the said respective orbifold eigenset, that such said superstrings are here to work to form.  Since the said respective strings are to tend to exist in a delineation, that is here to be placed, in general, at the external outer shell of such a said given arbitrary orbifold eigenset, -- even if the said orbifold eigenset is to be moving in a manner that is completely hermitian, and thus of a De Rham cohomology-related nature, -- the said strings will tend to not to be able to move in as much of a hermitian-related manner, in as these would intrinsically "want" to be moving in, over the earlier inferred given arbitrary respective evenly-gauged Hamiltonian eigenmetric.  This will then consequently result in the condition, that these said superstrings of discrete energy permittivity that are here to work to comprise the said directly corresponding orbifold eigenset of such a case, will then tend to work to consistently bear, what may here be thought of as the correlative presence of Chern-Simons singularities.   This will then work to result in what may logically be thought of, as the proximal local presence, of what may be termed of as being Chern-Simons Invariants.  As the said composite strings are here to help to work to form the proximal local presence of cohomological eigenstates, over time, this will then work to result in the formation of the earlier inferred Chern-Simons Invariants, that work to be formed by the motion of the said strings upon their directly corresponding Hamiltonian operand -- via the tense of the presence of either their Lagrangian-based Chern-Simons singularities and/or the tense of the presence of their metric-based Chern-Simons singularities, to work to act upon the directly corresponding Rarita Structure eigenstates.  This will consequently result in the action of the presence of such Chern-Simons Invariants, to work to bear a multiplicit Yukawa Coupling upon those Schwinger-Indices, that work to act -- in so as to help in working to form the basic forces of nature.  Such said respective Schwinger-Indices are formed by the "plucking," like a harp, of the multiplicit gauge-boson eigenstates, upon their correlative second-order light-cone-gauge eigenstates.  This effect of the action of the proximal local presence of the inferred Chern-Simons Invariants, upon those Schwinger-Indices that work to help in forming the basic forces of nature, are consequently to act in a multiplicit manner, in general,  as an embedding-related operation, upon the inferred basic forces of nature, -- in so as to work in a multiplicit manner, in so as to form the seven basic influences of physical nature.  To Be Continued!  Sincerely, Samuel David Roach.
Hello Genesis House.

Symplectic Floer Cohomology

That general type of a symplectic cohomology, that is here to have the ability of exhibiting the activity of either being able to work to generate more cohomology than it is here to work to degenerate, or being able to work to generate just as much cohomology than it is here to work to degenerate, or being able to work to generate less cohomology than it is here to work to degenerate -- in each case, over an evenly-gauged Hamiltonian eigenmetric, -- is said to be exhibiting, what may here be called a symplectic Floer cohomology.  Sincerely, Sam Roach.

Cotangential Flow Of Mini-Stringular Segmentation Towards First-Order Point Particles, Part Two

That general cotangential flow of mini-stringular segmenation, that works to converge upon those first-order point particles, that work to form the myriad Ward-Cauchy-related physical entities that act as norm-state-projections, tends to be of more of a euclidean nature, -- than that general cotangential flow of mini-stringular segmentation, that works to converge upon those first-order point particles, that work to form superstrings.  To Be Continued!  Sincerely, Samuel David Roach.

Cotangential Flow Towards First-Order Point Particles

That general cotangential flow of mini-stringular segmentation, that works to converge upon those first-order point particles, that work to form superstrings -- tends to be of more of a hyperbolic nature, than that general cotangential flow of mini-stringular segmentation, that works to converge upon those first-order point particles, that work to form the myriad Ward-Cauchy-related physical entities, that act as norm-state-projections. I will continue with the suspense later!  To Be Continued!  Samuel Roach.

Relatively Stagnant Cohomology-Related Generation/Degeneration

In the substringular -- when there is to be both a group-attractor and a ghost-based inhibitor of the same scalar amplitude of wave-tug, that are here to be acting upon a given arbitrary orbifold eigenset, at relatively opposite sides of the said orbifold eigenset, via a Ward-Supplemental directorial, over time, -- then, this will consequently tend to result in a relative stagnation of the directly corresponding cohomology-related generation/degeneration -- that is here of such a respective case.  Sam Roach.
Yes Marshall Hill of Garden City, this is your friend Sam Roach's blog!
By the way -- my brothers are John Anthony Roach and Robert Joseph Roach.
My mom is Idella May Roach.  My dad was Lee Anthony Roach.  My sister is Linda Rausch. (PHS1989).

Why Nijenhuis Fringes Are Called "Nijenhuis"

With a superstring of discrete energy permittivity that would theoretically be of a two-dimensional spatial nature -- those partition-based discrepancies that work to exist along the topological contour of such a given arbitrary respective string,  -- from the relative "0 degree" position toward the relative "360 degree" position (in the process of working to bear a Laplacian-related mappable-tracing, along the entire circulation of such a said theoretical string), are to be delineated in the following general type of inferred Laplacian-based back-and-forth manner:  the first mappable partition-based discrepancy is to be delineated at a combined position, that is both to be placed at roughly the diameter of a first-order point particle into the relative norm-to-forward-holomorphic locus in relation to the flow of the topological contour of such a said respective string, as well as simultaneously being equally placed at roughly the diameter of a first-order point particle into the relative forward-holomorphic locus in relation to the flow of the topological contour of such a said respective string;  Consequently -- the second of such mappable partition-based discrepancies along such an inferred general contour, is then to be delineated at a combined position, that is both to be placed at roughly the diameter of a first-order point particle into the relative norm-to-reverse-holomorphic locus in relation to the flow of the topological contour of such a said respective string, as well as being equally placed at roughly the diameter of a first-order point particle into the relative reverse-holomorphic locus in relation to the flow of the topological contour of such a said respective string, and so on. Yet -- with a superstring of discrete energy permittivity that would, instead, to theoretically be of a three-dimensional spatial nature -- such earlier said partition-based discrepancies, are to work to bear an added tensor of a relative flow of going back-and-forth, from initially working to bear a relative forward-holomorphic-related delineation to working to equally bear a relative reverse-holomorphic-related delineation, that is here to work to bear three partial components of spatial delineation, and so on.. -- in order to be able to map-out the relative Laplacian-based positioning of the resultant partition-based discrepancies, along the topological contour of such a said string -- from the relative "0 degree" positioning of the said respective string toward the relative "360 degree" positioning of the said respective string, -- along the entire circulation of such a said theoretical string.  The more spatial dimensions of such a said respective superstring of discrete energy permittivity, the more of such tensors that are here to exist of such an inferred Nijenhuis-related nature.  Since most actual closed-looped strings of such, in the real world, are to be comprised of at least four spatial dimensions plus time -- the proximal locus that is Poincare to the core-field-density of the partition-based discrepancies of a superstring of discrete energy permittivity, that is here to tend to work to bear a higher scalar amplitude of a convergent webbing of mini-stringular segmentation, that is to be eminent in its Gliosis-based contact upon those first-order point particles of partition-based discrepancy, that are here to be placed just outside of the Laplacian-based flow of the general topological contour of such a said respective string, are consequently to bear a degree of a Nijenhuis nature, to their correlative Laplacian-based delineation.  The just inferred relatively high scalar amplitude of such a convergent webbing that I have mentioned just earlier, works to explain to a degree, why the delineation of such partition-based discrepancies, is here to work to form "fringes."  Thence, particularly with Calabi-Yau manifolds, as well as with manifolds that may potentially be of more of a Nijenhuis nature -- the multiplicit proximal locus of partition-based discrepancies, may here be described of as working to bear the general spatial attribute, of acting as phenomenology, that are here to be called "Nijenhuis fringes."  Sincerely, Samuel David Roach.
Yes John Roach, this has always been my blog!  (PHS class of 1989).

Nijenhuis Fringes

Those Nijenhuis fringes of superstrings of discrete energy permittivity, that work to form a tense of  a conformal repulsion locality, relating to such said respective strings, -- works to help to reverse-fractal-out to form those respective Nijenhuis fringes of their directly corresponding orbifold eigensets, that are here, as well, to work to form a tense of a conformal repulsion locality, relating to such said respective orbifold eigensets -- the latter of which is here to be at a relatively less microscopic Ward-Cauchy-related scene.  I will continue with the suspense later!  Sincerely, Sam Roach.

Physical Pretense

So, what's on the other side of a dimensional entity that has no physical pretense at that general localization? :

Let's take into consideration a two-dimensional superstring of discrete energy permittivity (as an oversimplification), that propagates the presence of the holonomic substrate of a three-dimensional world-sheet.  Since the correlative string is only two-dimensional, it needs the local presence of positive-neutral-ground-states -- to act as entities, that are here to work to help form partial dimensional slits -- that are here to interact with those directly corresponding point commutators, -- in order to work to form a tense of a three-dimensional-related conformal invariance, that is to act "on both sides" of the correlative superstring of discrete energy permittivity that has been eluded-to here.  The corresponding Nijenhuis "fringes" of the directly pertinent partition-based discrepancies, are what may be thought of here as a fractal of a "Van-Der-Waals force", that is here to work to form a tense of a field, of what may be termed of here as being a general type of a conformal-repulsion-locality.  As a Laplacian Transform, as to what may be mapped-out in-between the earlier said Nijenhuis "fringes" and the immediately adjacent superstrings, -- there is the eminent presence of the directly pertinent anti-differentiable cohomology-related globalizations -- whose Ward-Cauchy-based behavior may be defined in part, by the extrapolation of those correlative substringular entities, that are to here to display the correlative behavior that act as arc-hyperbolic-trigonometric functions, whose side-bearing couplings, will then consequently orientate the respective correlative mers of norm-based projections, in such a manner, in so as to help to guide what is here to be the present relationship between the associated Real-based entities and the directly corresponding Nijenhuis entities.  This happens, in order to help to work-out the Ward-Cauchy interdependence -- that is here to exist between discrete energy and its resultant physical memory.  This just stated orientation is to happen, via the commutation of a discrete world-sheet that is quantized, in part, into the overall world-sheet of its directly corresponding orbifold eigenset.  This said overall world-sheet, when in relation to the topology of a substringular membrane that is of a mass-bearing nature -- will often in reality, tend to instead to be of such a metric, that is here to be of a Calabi-Yau nature.  To Be Continued!  Sincerely, Samuel David Roach.

The Holomorphic Direction And Space-Time-Fabric

Let's initially consider a closed-looped superstring of discrete energy permittivity, that is here to be traveling via a d-field.  The said superstring is here to be traveling in the relative forward-holmorphic direction, over an evenly-gauged Hamiltonian eigenmetric.  Let's consider the space-time-fabric that is here to be at the relative interior of the core-field-density of the string, to be relatively void of first-order point particles that are of the same universal setting as the initially inferred superstring of discrete energy permittvity.  Let's next surmise that the holonomic substrate that works to comprise the topology of the said string, to be made-up of a torsional Virtual Bead of first-order point particles (which is here to be as such a bead, with the exception of its partition-based discrepancies), that have here to have come together to work to form the actual entity of the said string of discrete energy permittivity.  One may then work to describe the thus inferred holonomic substrate of the topology of the said string, as a torsional compactifited  "dimensional slit," that is here to be constantly vibrating -- in one manner or another.  If the motion of the said string, that is here to be moving in the respective relative holomorphic direction, when at the vantage-point of its inferred "void," is here to be considered to be of a Real Reimmanian nature, -- then, the Lagrangian of the self-same string, at the Poincare level to the holonomic substrate of its topological stratum, may be considered to be of an Imaginary nature.  This is part of why one may often label the relative holomorphic direction of a superstring (which is to the relative "left"), to be in the relative "i" direction.  Consequently, the tying of knotted phenomenology -- that is here to come into any sort of a Gliosis-related contact with the said topological-related holonomic substrate of such a said superstring, may be considered to be appertaining to a relationship, that is here to be associated with the nature of (A Constant)*(PI)*(i); -- where "i" is the square root of a negative one.
 Sam Roach.

The "Truth" Tachyon, And Knotted Phenomenology

As a general symbolic representation -- when one is here to be dealing with the activity of the tying of knotted substringular phenomenology, one is here to be dealing with the eminent mathematical expression of "(i)!" -- to work at helping to represent the exhibition of what is to be going on here.  Furthermore -- when one is here to be dealing with the activity of the untying of knotted substringular phenomenology, one is here to be dealing with the eminent mathematical expression of "(-i)!" -- to work at helping to represent the exhibition of what is to be going on here.  Next -- when one is here to be symbolically dealing with the generic Coupling of these two said general courses of activity, -- a coupling between the activity of the tying of knotted substringular phenomenology, with the activity of the untying of knotted substringular phenomenology, -- then, one is here to simply be dealing with the presence of a negative scalar magnitude or amplitude of mathematical expression ((-1), as an oversimplification).  The general idea as to this, works to represent the concept of a reversal of time -- for any one set vantage-point that is to experience such a change in the direction of the respective arrow of time.  This general idea, works to symbolically represent, that general genus of tachyonic flow -- that is here to work to involve, what may be named of as being the "truth" tachyon.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Example Of Superconformal Invariance

Here's an example -- as to how a phenomenology may be superconformally invariant at an internal reference-frame, even though it may be kinetic in motion at an external reference-frame.:

A tree that is rooted in the ground tends to be relatively stationary at an internal reference-frame, from an observing person on earth.  Yet, since the earth is constantly moving around the sun in outer space -- at the vantage point of our planet earth, the tree is then to be consequently moving at a relatively more significant manner at an external reference-frame.

Likewise, -- mass-bearing superstrings of discrete energy permittivity, are superconformally invariant at an internal reference-frame, -- even though such said mass-bearing superstrings of discrete energy permittivity, are here to be kinetic at an external reference-frame.

It is the open strings that are of discrete kinetic energy permittivity, that are here to work to move those particular closed strings -- that are here of discrete mass-bearing energy permittivity.

I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Partial Proof Of Centralized Knotting Equation

To Prove:  (-i)! = (i/PI) & (i)! = i*PI;

Proof:  If (-i)! = (i/PI), Then, (i/i)*(i/PI) = (-1)/(i*PI) = (-i)!;

If (-i)! = (-1)/(i*PI), &, (i)! = i*PI; then, -- ((-i)!)/(i*PI) = -1 & ((i)!/(i*PI) = 1;

If e^(i*PI) = e^((i)!) = (((i)!)/(i*PI))*(((-i)!)/(i*PI)) = 1*(-1) = -1;

Consequently, -- ((-i)!/(i*PI) MUST = -1 & ((i)!/(i*PI) = 1;

So -- If ((-i)! = ((-1)/(i*PI), Then,

((-i)!/(i*PI)) = (((-1/(i*PI)/(i*PI) = (-i*PI)/(i*PI) = -1; & ;

(((i)!/(i*PI)) = ((i*PI)/(i*PI)) = 1.

Therefore, -- (-i)! = (i/(PI)), &, (i)! = i*PI.

To Be Continued!  Sincerely, Samuel David Roach.

Unified Centralized Knotting Of Field, Part Two

The following post is a hunch that I have.  Please let me know if this makes adequate sense.  Initially as a heads up -- in dealing with the equation that I had mentioned last time, when one is here to be thinking in terms of phenomenology that is being tied into a centralized knotted cotangent bundle, then, one is consequently to be dealing with the mathematical expression, "(i)!",  at the beginning of the just inferred equation.  However, again as a heads up -- in dealing with the equation that I had mentioned last post, when one is here to be thinking in terms of phenomenology that is being untied out of an initially formed centralized knotted cotangent bundle, then, one is consequently to be dealing with the mathematical expression, "(-i)!", at the beginning of the just inferred equation.
Incidentally, {"(i)!" = i*PI; and "(-i)!" = (i/(PI))}, if I recall!?
To Be Continued!  Sincerely, Samuel David Roach.

Unified Centralized Knotting Of Field

Just A Thought:  I'm not entirely sure of this, but I thought that I would run it past you. ;

The following is a potentially decent equation that crossed my mind, for a unified centralized knotting of field, that works in helping to correlate Real-Based Spaces with Li-Based Spaces.

((((+i Or -i)!/(2^.5))X(Nijenhuis Function Intrinsic To Given Case(ihat+jhat+khat...)))/(96PI(Rho,Theta,Phi))X(J))))
                                                           (Divided By)
((((Nijenhuis Function Intrinsic To Given Case(ihat+jhat+khat...))/(96PI(Rho,Theta,Phi)))^(32Prime)X((2*The Fourier Of The Hamiltonian Operator)^(Single Prime))X(The Hodge Index Of Time, In Terms Of Discrete Planck Instants))).

To Where "J" is S+L (the overall momentum), The Hamiltonian Operator is the overall energy of the system, the "hats" represent directorals, and "i" is the square root of negative one.  To Be Continued!  Sincerely, Sam Roach.  P.S.:  "Nijenhuis  Function Intrinsic To Given Case" is here to be that given arbitrary respective Nijenhuis mathematically-based function, that is here to directly correspond to the motion of the said Hamiltonian Operator -- that is here to be exhibiting the action that is correlative to the said centralized knotting of the respective field, of any one such given arbitrary cases.

Scattering And Cotangent Bundle

When Ward-Cauchy-related phenomenology are to scatter -- in so as to work to converge upon a substringular cotangent bundle of some given arbitrary spatial dimensionality, -- then, this is one general genus of a Reimman Scattering; Whereas, -- when Ward-Cauchy-related phenomenology are to scatter -- in so as to work to diverge from a substringular cotangent bundle of some given arbitrary spatial dimensionality, -- then, this is one general genus of a Rayleigh Scattering.  Samuel Roach.

A Certain Tense Of An Inverse Curl

Let's say that one were to consider (e^(Ricci Flow)) to arbitrarily be denoted by a given arbitrary cartesian function, that we will, for simplicity,  term of here as being called "u."  (In meters^2/seconds^2, in one tense or another of a directoral).  The inverse curl of (e^(del(the Ricci Flow))) is then to be congruent in symmetrical effect, to the inverse secant of
(e^(the Ricci  Flow)). I will continue with the suspense later!  To Be Continued!  Sam Roach.

Reaction Involving Antiholomorphic Kahler Conditions

As it has been said in physics many times before, -- for every action, there is an equal and opposite reaction -- that is here to be acting in the opposite direction.  Consequently -- often when a given arbitrary orbifold eigenset is here to bear a Ward-Supplemental reverberation in its transversal flow of Lagrangian-based motion over time, such a said reverberation will consequently tend to work to form a situation, that is here to involve the state of a set of antiholomorphic Kahler conditions, -- of which is here to tend to work to cause the reaction of a set of one or more space-related eigenstates, to result in a Lagrangian-related motion -- that is here to move in a manner that is relatively Nijenhuis yet parallel to the reverberation-related motion of the initially stated orbifold eigenset, that is to be reverberating in a manner that is here to be Ward-Supplemental to its initial motion.  This tends to happen in such a general implied manner, when the inferred orbifold eigenset is in need of reattaining its fractals of discrete energy that it is in need of, in order to remain as a set of discrete energy quanta.  Such a process is necessary, because although discrete energy is very efficient, -- it is not literally completely efficient.  Such an inferred general process consequently happens, in so as to work to refurbish the efficiency of discrete energy quanta over time.  To Be Continued!  Sam Roach.

Scattering As Just One General Genus Of Perturbation

The difference between a Wess-Zumino interaction and a Reimman interaction (as in a Reimman scattering), is that the general idea as to what a Wess-Zumino interaction is, is that it may be any one given arbitrary general type of a Ward-Cauchy-related harmonic perturbation; whereas -- a Reimman interaction (again, as in a Reimman scattering), is the general idea as to what a Ward-Cauchy-related harmonic scattering is to be.  Furthermore, -- the difference between a Cevita interaction and a Rayleigh interaction (as in a Rayleigh scattering), is that the general idea as to what a Cevita interaction is, is that it may be any one given arbitrary general type of a Ward-Cauchy-related anharmonic perturbation; whereas -- a Rayleigh interaction (again, as in a Rayleigh scattering), is the general idea as to what a Ward-Cauchy-related anharmonic scattering is to be.  A Ward-Caucy-related scattering, is only one general genus of a Ward-Cauchy-related perturbation.  To Be Continued!  Sam Roach.

Altering Rate Of i*PI(del) Action

When a given arbitrary mass-bearing orbifold eigenset is to be altering in its acceleration, when this is here to be taken in its relationship to the velocity of electromagnetic energy -- then, the correlative i*PI(del) action that is here to be directly corresponding to the said respective given arbitrary mass-bearing orbifold eigenset, will consequently tend to be altering in its rate.  Sincerely, Sam Roach.

Sound And Heat

Sound tends to basically be formed by the harmonic vibration of molecules, whereas heat tends to basically be formed by the anharmonic vibration of molecules.  Therefore -- the nature of the formation of sound, is more affiliated with the activity of a tense of Wess-Zumino interactions; whereas -- the nature of the formation of heat, is more affliated with the activity of a tense of Cevita interactions. Sam Roach.

Mass-Bearing Discrete Energy -- Gliosis To The Kahler-Metric

When mass-bearing orbifold eigensets are Gliosis to the Kahler-Metric, this general genus of activity works, in part, to make those composite superstrings of discrete energy permittivity that work to comprise such said orbifold eigensets -- to become more efficient at subsequently to be able to interact with physical norm-state-projections in such a manner, to where those correlative multifarious abelian groupings may be able to "latch-on" to that core-field-density that is proximal local to these said strings, in an indistinguishably different manner with relatively minimal slippage, -- in so as to work to allow for both the continued persistence and existence of cohomological generation, -- so that discrete energy permittivity and thus discrete energy, may then continue to both persist and exist as well.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Point On A Paraboloid

Let us say that one were to have a physical point at a position, that is here to be stationed on the outer surface of a paraboloid.  This said physical point at a position, is here to be stationary -- at an internal reference-frame.  Let's next consider that the said paraboloid, is to initially be stationary as well -- at its own internal reference-frame.  The said paraboloid has a position, since it has a shape.  Anything that has a position has an angle, that is here to be directly associated with its respective shape.  Now -- let's say that the paraboloid mentioned here, is, subsequent to the initial conditions inferred here, to roll off of a table.  Its angle of position, at each increment of motion along the table, works to define its coexistence with its environment, -- when including its eminent association with the table, that the said paraboloid is here to be rolling off of.  The rolling of the object is like a spin.  The change of the object's norm conditions, as it is here to be rolling off of the table, is the physical Action of the Object, that is here to bring it to a new resultant set of positions, -- which is here to create the object's Motion.  The driving force of the object, in whatever direction that it is pressured into moving through, also works to cause Motion, by helping to allow for a positional drive of the object.  So, -- change in norm conditions, over time -- in both radial translation & in transversal positional drive, works together, to form the basic building blocks, of what may here be thought of as being regular kinematic motion.  Sincerely, Sam Roach.

Guidance Into Holonomic Substrate Of Klein Bottle Eigenstate

Over the course of an iteration of instanton, -- when any one given arbitrary Noether-based orbifold eigenset is here to be Gliosis to the Kahler-Metric -- what is here to mainly work to guide those composite discrete quanta of energy, that are here of such a respective orbifold eigenset, to go into the process of being delineated into consequently becoming briefly "riveted" into the relative norm-to-holomorphic positioning of the directly corresponding  eigenstate of the holonomic substrate of the Klein Bottle, is a set of certain Ward-Cauchy-related aspects of the inter-relationships that are here to exist among both the correlative respective Fadeev-Popov-Trace eigenstate and the correlative light-cone-gauge eigenstate, when this is here to be taken in its interdependent relationship with both the directly corresponding superstring of discrete energy permittivity and its correlative counter string.  To Be Continued!  Sincerely, Samuel David Roach.

Ward-Parallel Activation

Whenever a Noether-related orbifold eigenset that is moving in a transversal manner, is to work to bear a Lagrangian-based wave-tug that is to push it into a Ward-Supplemental direction, this general tense of an activity -- will consequently tend to work to trigger the Fourier-related sinusoidal propagation-associated Ward-Parallel (parallel, yet, in a Nijenhuis-related manner) Activation, of a relatively thick (at the Poincare level to such a Ward-Cauchy-related perspective), spring-like chord of mini-stringular segmentation, -- that may be thought of as being an arbitrary respective example of a Wick Action eigenstate.  I will continue later!  To Be Continued!  Sincerely, Samuel David Roach.

As To The Wick Action Eigenstate

The multiplicit Wick Action eigenstate exists like a metaphorical superstringular "spring," that moves in a Fourier-related manner, via a sinusoidal oscillating motion, -- in so as to work to contact the relative norm-to-forward-holomorphic end of what may here be called the multiplicitly taken Landau-Gisner Action eigenstate.  The said relative norm-to-forward-holomorphic end, of what may here be called the multiplicitly taken Landau-Gisner Action eigenstate, exists like a metaphorically superstringular "spring."  When the relative holomorphic end of the said Wick Action eigenstate is here to come into contact with the relative norm-to-holomorphic end of the said Landau-Gisner Action eigenstate, there is temporarily a relative Ward-Cauchy-based meshing of these two different types of inferred eigenstates, which works to cause the said Landau-Gisner Action eigenstate to apply a leveraging upon the multiplicit Fischler-Suskind Mechanism, over a relatively brief gauge-metric.  This just said general genus of leveraging, consequently works to apply an abelian wave-tug upon the holonomic substrate of the multiplicit Klein Bottle eigenstate, -- in so as to move the multiplicit Higgs Boson eigenstate into the general Ward-Cauchy-related region, in which there is here to be the proximal local presence of discrete energy that needs to reattain their fractals of discrete energy, -- so that energy may be able to both persist and exist. To Be Continued!  Sincerely, Samuel David Roach.

About A "Buffer" Between Orbifold Eigensets

That general genus of the activity of a phase alteration, from among a set of covariant substringular traits, to where each of such "traits," is here to act as a set of interdependent orbifold eigensets -- that work to re-position the parallax that is here to exist, between those eigenstates that are eminent in their correlation to that directly corresponding  homotopic differentiation, that is here to exist in relation to the proximal local kinematic activity of the general course of the i*PI(del) action -- is here to act indirectly as a "buffer," by working to allow for the efficient interdependent motion of the inferred semi-groups, that are here to phenotypically be exhibited as the earlier inferred sets of orbifold eigensets.  This is because the co-differentiation of the said traits with the said "buffer," would act as a physical "check-and-balance" to the inertial Dirac of the given homotopic condition.  If, after a discrete series accumulation of differential variance, and, if the homotopy that is here to be correlative, has here to have undergone such global kinematics in a viable Fourier-based manner -- to where the said covariant traits are then to gradually move into the "direction" of getting caught-up into a common functional operation that is to consequently "synchronize" into a common general theme of kinematic activity, then, the said series that is here to have been eluded-to, will then tend to  consequently have converged upon a local basis of operational-related function.  To Be Continued! Sincerely, Samuel David Roach.