Magnetic Pull And Gravity

Let us initially say that one were to have an interconnected interdependent phenomenology.  An increase in its magnetic pull, works to increase its interdependent metric-gauge-related pulsation.  An increase in an interdependent metric-gauge-related pulsation, works to increase its interdependent gravitational association.  So, if one were to work to cause a constant change in the direction of the velocity of the magnetic pull upon an interdependent phenomenology -- one would then logically tend to be working in the direction of decreasing those ulterior gravitational forces, that would otherwise be limiting the freedom of the motion of the so-stated interdependent phenomenology, over time. Such a tendency would then be enhanced -- if one were to use materials that were here to involve a high tense of a reverse-fractal of Majoranan-Weyl-Invariance, and thus, a high tense of conformal invariance that is at an internal reference-frame (both a high conductivity and a high resonant vibration).
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Majorana-Weyl-Invariance And Magnetic Pull

Let us take into consideration a phenomenology, that is here to work to bear a general tense of a scalar amplitude of  Majorana-Weyl-Invariance.  The more homogeneous that the radial delineation of the respective given arbitrary tense of the Majorana-Weyl-Invariance is to be -- the higher that the magnetic pull will then be, upon the holonomic substrate of that respective given arbitrary phenomenology of this particular case -- of which is here to bear the said respective given arbitrary general tense of Majorana-Weyl-Invariance.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Majorana-Weyl-Invariant-Mode And Magnetism

The higher that the Majorana-Weyl-Invariant-Mode is, for any one given arbitrary orbifold eigenet -- both the higher and the deeper that its resonant vibration will then tend to be, as well as the less that such a said eigenet will then tend to be effected by Lorentz-Four-Contractions At An Internal Reference-Frame. This then tends to be saying -- that a phenomenology that is relatively conductive, that is here to have a relatively high scalar amplitude of a tense of a Majorana-Weyl-Invariant-Mode -- will then tend to work to bear a higher tense of both conduction and of capacitance -- than a different phenomenology, that is of a relatively lower scalar amplitude of a tense of a Majorana-Weyl-Invariant-Mode.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Structural Integrity And Tense Of Majorana-Weyl-Invariance

The higher that the scalar amplitude is to be, of the general tense of the Majorana-Weyl-Invariant-Mode -- for any one given arbitrary orbifold eigenset -- the greater that the substringular structural integrity of the said orbifold eigenset will then tend to be -- as to the relative strength of the constructive composition, of such a respective general genus of a Ward-Cauchy-related phenomenon,  at the substringular level.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Space-Time-Fabric And Gravity

The multiplicit oscillatory effect of those Schwinger-Indices, that are formed by the "plucking" action of gauge-bosons upon their correlative second-order light-cone-gauge eigenstates in the substringular -- upon space-time-fabric, or, in other words, -- the multiplicit oscillatory effect of those Schwinger-Indices that are formed by the "plucking" action of gauge-bosons upon their correlative second-order light-cone-gauge eigenstates in the substringular -- upon the multiplicit wave-tug of the Ward-Cauchy-related holonomic substrate of mini-stringular segmentation, works to form the force of gravity.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Space-Time-Fabric

The multiplicit wave-tug, that is applied to the mini-stringular segmentation -- that works to form the Ward-Cauchy-related field-density in the substringular -- works to form the fabric of space.  The sequential series of group-related instantons is time.  The interdependent interaction of the multiplicit wave-tug, that is applied to the mini-stringular segmentation -- that works to form the Ward-Cauchy-related field-density in the substringular, with the sequential series of group-related instantons -- is the general condition of space-time-fabric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Pulsation And Gravitational Wave-Tug

Let us consider two different sets of dual orbifold eigensets, that are here to be in such a situation, to where these will both incur a certain scalar amplitude of gravitational force, the one of such a dual state upon the other -- to where, this is a case in which one is to have two different comparative cases -- in which one orbifold eigenset is to be working to bear a scalar amplitude of gravitational force upon another orbifold eigenset.  Let us next say that all four so-eluded-to orbifold eigensets are to bear the same number of discrete quanta of energy, as well as that all four of such said orbifold eigensets are to here to behave in such a Ward-Cauchy-related manner -- to where all of these said eigensets are here to be exhibiting a tense of superconformal invariance, at the internal reference- frames of all four of such individually taken just mentioned eigensets.  Everything else basically the same, that one set of dual orbifold eigensets, which is here to be exhibiting a higher metric-gauge-related pulsation -- the one to the other -- will then tend to be the one set of the two, that will more than likely work to bear a higher gravitational wave-tug, as to the force of gravity that will work to inter-bind the two said eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Euclidean Expansion Versus Clifford Expansion

The difference between a euclidean expansion and an euler or Clifford Expansion -- is that an euler expansion, or, in other words, a Clifford Expansion -- works to bear an exponential generation of divergence, whereas, a euclidean expansion doesn't.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Path-Related Bundle And Metric-Gauge-Related Pulsation

Let us consider two different distinct sets dual orbifold eigensets, that are of cotangent bundle R4.  Let us next consider that both of these said sets, worked to bear a very similar set of overall net Chern-Simons invariants in a codifferentiable, codeterminable, and in a covariant-related manner -- except that one of the said sets of orbifold eigensets, is to bear a larger product of an overall path-related bundle than the other set of two orbifold eigensets, -- over an evenly-gauged Hamiltonian eigenmetric, that is simultaneous via the vantage-point of a central conipoint.  The set of two orbifold eigensets that is to work to bear a higher product of an overall path-related bundle, will then tend to bear a lower scalar amplitude of a metric-gauge-related pulsation than other set of two orbifold eigensets. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach

Chern-Simons Invariants And Metric-Gauge-Related Pulsaton

Let us initially consider two different distinct orbifold eigensets -- that are here to be inter-bound by a Yukawa-related coupling in time and space.  Next -- take the net expression for the holomorphic-extrapolated summation of the overall Chern-Simons invariants -- that are here to be combinatory between the two said orbifold eigensets, given the overall dimensionality of the said invariants -- and divide this by the correlative sum that is here to exist between the two individually taken net path-related bundles that are of the respective two distinct orbifold eigensets, that are analogous to that net pulse which is then to be incurred upon that resultant Lagrangian-based tracing, that is here to work to bear the Fourier-related activity of working to bear a bridging-related holonomic substrate, between the two said orbifold eigensets, over an evenly-gauged Hamiltonian eigenmetric.  This net general genus of a pulse that is here to be transferred along the Rarita Structure, in the general manner that I have just mentioned, will then work to help to form the resultant metric-gauge-related pulsation -- that is then to exist between the two said orbifold eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Net Pulse Of Overall Added Chern-Simons Invariants

Let us initially consider the expression -- that may here be determined, for the overall added Chern-Simons invariants, that are of one given arbitrary respective case -- that are of a cotangent bundle that is of R4.
Let us then divide this just mentioned expression, by the overall path-related bundle -- that is directly associated with the said overall added Chern-Simons invariants, that are of this given arbitrary case, that is of a respective cotangent bundle of R4.
The resultant expression will then be tantamount to the net pulse of the so-eluded-to holonomic substrate, that is of the said overall added Chern-Simons invariants -- that is here to be incurred upon the Lagrangian-based tracing -- that is most directly associated with the respective given arbitrary cotangent bundle of R4, that is here of this given arbitrary specific case scenario.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Session 12 Of Course 20 -- Calabi Interactions

Electromagnetic energy not only may scatter upon matter, yet it may also scatter upon plain kinetic energy as well.  The process of electromagnetic energy scattering upon plain kinetic energy, is known of as a Calabi-Wilson-Gordan interaction.  Whenever light or any other form of electromagnetic energy exists, it exists as beams of waves -- that are comprised of discrete energy particles that are known of as photons.  As with all increments of discrete energy, an individual photon has a Fadeev-Popov-Trace eigenstate directly associated with it.  A Fadeev-Popov-Trace eigenstate is tied to a superstring of discrete energy permittivity, via a light-cone-gauge eigenstate.  The type of superstring that is attached to the Fadeev-Popov-Trace eigenstate of a photon, is an example of a bosonic string. Attached to the bosonic superstring of a photon, is a bosonic counter-string.  Photons are examples of discrete energy that involve bosonic superstrings, because photons are considered to be bosonic particles -- on account of the condition that these have a whole spin.  Bosonic superstrings of discrete energy permittivity are closed-looped strings.  When a beam of light strikes a field of plain kinetic energy, one of a few different things may generally occur.  The light may either be completely absorbed, the light may be both partially absorbed and partially scattered, or, the light may be completely scattered.  This depends upon the angle that the light strikes the plain kinetic energy, as well as where on the energy field that the light is to actually end-up striking at.  If all of the light strikes the correlative externalized core-field-densities of all of the individually taken light-cone-gauge eigenstates that it is to collide with, at 90 degrees to the holomorphic projection of the said individually taken light-cone-gauge eigenstates, then the light will completely scatter.  If only some of the light is to strike the correlative externalized core-field-densities of the individually taken light-cone-gauge eigenstates that it is to collide with, at 90 degrees to the holomorphic projection of the said individually taken light-cone-gauge eigenstates, then the light will partially scatter and partially be absorbed by the plain kinetic energy.  If none of the light is to strike the externalized core-field-densities of the individually taken light-cone-gauge eigenstates that it is to collide with, at 90 degrees to the holomorphic projection of the said individually taken light-cone-gauge eigenstates, then none of the light will scatter and all of it will be absorbed by the said plain kinetic energy.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Some Stuff As To Dimensional Contraction And Orbifold Eigensets

When one superstring of discrete energy permittivity that is of one given arbitrary orbifold eigenset, is to either comapctify or to decompactify by a specific number of spatial dimensions, at a specific instance of time -- then all of the superstrings of discrete energy permittivity, that work to comprise the said orbifold eigenset, will then tend to respectively compactly/decompactify by that same said specific number of spatial dimensions, at that said specific instance of time.  Therefore, if one specific superstring of discrete energy permittivity, that is of one given arbitrary orbifold eigenset, at right before an iteration of BRST, is to vibrate annharmonically by a specific number of spatial dimensions, in a holomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric -- then all of the superstrings of discrete energy permittivity that work to comprise the said orbifold eigenset, will then tend to vibrate annharmonically by that same specific number of spatial dimensions, in a holomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric.  Furthermore -- if one specific superstring of discrete energy permittivity that is of one given arbitrary orbifold eigenset, during the Regge Action, is to vibrate annharmonically in a specific number of spatial dimensions, in an antiholomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric -- then all of the superstrings of discrete energy permittivity, that work to comprise the said orbifold eigenset, will then tend to vibrate annharmonically by that same specific number of spatial dimensions, in an antiholomorphic manner, at that so-eluded-to proscribed iteration of gauge-metric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Beti Action and Annharmonic Vibration Of Superstrings

If a superstring of discrete energy permittivity is to be vibrating annharmonically in a holomorphic manner, in an odd number of spatial dimensions right before BRST, -- then it will tend to not work to bear a homeomorphic field between itself and its counter-string, during the immediately ensuing correlative Beti Action eigenstate.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

More As To Internal Versus External Reference-Frames

When I was recently discussing the general genus of a case, to where an external reference-frame that was here to be moving at close to light speed -- that worked to bear an internal reference-frame that was relatively stationary in and of itself, -- then what I was here to be talking about, was the general case in which one is here to have an external reference-frame -- that was not here to be delineating any gravitational force upon such a so-stated general tense of an internal reference-frame.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Annharmonic Vibration And Tachyonic Flow

So -- if one given arbitrary superstring of discrete energy permittivity, is to both vibrate annharmonically in an odd number of spatial dimensions in a holomorphic manner right before an iteration of BRST, --  as well as vibrating annharmonically in an odd number of spatial dimensions in an antiholomorphic manner during the immediately ensuing iteration of the directly corresponding Regge Action eigenstate, -- then, that respective given arbitrary superstring will then tend to become tachyonic.  When one or more superstrings are to become tachyonic -- then, these will undergo at least a moment of tachyonic flow.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Dimensional Compactification And Annharmonic Vibration

A Noether-based superstring of discrete energy permittivity is to compactify by 0 to 8 spatial dimensions right before BRST (+Beti Number), and a Noether-based superstring of discrete energy permittivity is to decompactify by 0 to 8 spatial dimensions during the ensuing Regge Action (- Beti Number).  A positive Beti number works to correspond to the number of spatial dimensions that a said superstring of discrete energy permittivity is to be annharmonically vibrating in, in a holomorphic manner -- right before BRST.  A negative Beti number works to correspond to the number of spatial dimensions that a said superstring of discrete energy permittivity is to be annharmonically vibrating in, in an antiholomorphic manner -- during the Regge Action.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Rate Of Motion And Sudden Alterations In Number Of Spatial Dimensions

When in a Noether-based flow -- the quicker the rate of motion that a given arbitrary orbifold eigenset is to be exhibiting -- the higher that its correlative Lorentz-Four-Contraction will tend to be.  The higher that the correlative Lorentz-Four-Contraction will be -- the less partition-based discrepancies that will then be existent from within the Ward-Cauchy-related bounds of the individually taken superstrings, that work to comprise the said orbifold eigenset.  The less partition-based discrepancies that are to exist from within the Ward-Cauchy-related bounds of the individually taken superstrings, that work to comprise an orbifold eigenset -- the more likely that the said individualy taken strings are, to bear a low absolute value of a  Beti number -- when in both going into and going out of the correlative iterations of BRST -- in which such a high rate of a so-eluded-to tense of speed of the said orbifold eigenset, is to be going on.  The less likely that the superstrings that work to comprise a said orbifold eigenset, are to be either gaining and/or losing partition-based discrepancies, -- the less likely that such a said eigenset will be perturbating much, in the number of spatial dimensions that it is to be exhibiting.  Such individually taken superstrings of a said orbifold eigenset will then tend to be more stable in the number of spatial dimensions that it then has -- even though such an orbifold eigenset will then be contracting in the dimension of its relative length.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Time And Lorentz-Four-Contraction

The higher the Lorentz-Four-Contractions -- the shorter the superstrings of discrete energy permittivity.  The shorter the superstrings of discrete energy permittivity, -- the more time that it takes for the correlative Poincare interactions to occur, in order for the directly corresponding Wess-Zumino and Cevita interactions that allow for more macroscopic activities will have happened to occur.  The slower the correlative Poincare interactions -- the less time will then to have appeared to have transpired.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Partition-Based Discrepancies And Appearance Of Contraction

Please read this whole thing carefully.  The following is the case for an internal reference-frame that is relatively stationary in and of itself, that is here to be within an external reference-frame that is approaching light speed.  The less partition-based discrepancies that the mass-bearing superstrings of discrete energy permittivity that are of an orbifold eigenset, are to bear -- the more contracted that such an orbifold eigenset will theoretically tend to appear at its relative length -- when this is taken by the theoretical reference-frame of a terrestrial observer, -- to where such an orbifold eigenset will then tend to not to seem to be contracted by the standpoint of one of whom is at the theoretical reference-frame of the moving orbifold eigenset that is of such a given case.  The added partition-based discrepancies, that are of that kinetic energy -- that is of the kinematics of the Lagrangian that is most directly associated with the motion of such a said orbifold eigenset -- will then tend to make-up for any seeming loss in the conservation of homotopic residue, -- to where there will here tend to be no net loss nor gain of homotopic residue, at the substringular neighborhood that is proximal to the moving locus of such a said orbifold eigenset.  Such a condition that helps to work at the conservation of homotopic residue -- is, in part, what is here to act in so as to tend to help to allow for such a perspective of no apparent contraction in length at the theoretical reference-frame of the said moving orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Hint Two As To Mass And Homotopic Residue

Let us again initially say that one were to have an external Noether-based mass, that is going as fast as it can -- at just under the speed of light.  Let us then say that the just mentioned mass was here to contain an internal mass, that is here to be relatively stationary in and of itself.  Let us next say that the so-eluded-to external reference-frame was here to have a terrestrial-based mass of "M" -- when not including the said internal reference-frame -- while the so-eluded-to internal reference-frame was here to have a terrestrial-based mass of "m" -- when not including the said external reference-frame.  At the originally so-eluded-to velocity in which the external reference-frame is here to be going, at just under light speed -- while the internal reference frame is relatively stationary in and of itself, -- the tense of the kinematic action of the Lagrangian of the mass of the external reference-frame, when in conjunction with the tense of the kinematic action of the Lagrangian of the mass of the internal reference-frame, will work to cause the so-stated external reference-frame of this specific genus of a case, in the process of the Lorentz-Four-Contraction of the overall reference-frame, to here gain a mass of added orbifold eigensets, that will amount to a scalar magnitude of
((m/(M+m))*3*10^8-m).
I wil continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Hint As To Relative Mass And Homotopic Residue

When an external reference frame, that is approaching the speed of light, is to be carrying an internal reference-frame, that is stationary in and of itself -- the maximum speed that the said external reference-frame is capable of going, in the process of traveling in a Noether-based manner -- is based upon the Lorentz-Four-Contraction of:
Lorentz-Four-Contraction here = 3*10^8*(1-(m/(M+m))) = (1/((1-(v^2)/(c^2))^.5))).
This is to where the "m" is here the mass of just the internal reference-frame,
whereas -- the "M" is here the mass of just the external reference-frame, when not including the said internal reference-frame.  The "v" here is the velocity that is to be potentially extrapolated, and "c" is here to mean the speed of light.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homotopy And Rate Of Cohomological Formation

The faster that any orbifold eigenset of mass-bearing superstrings, that are of discrete energy permittivity, is to travel through space, over an evenly-gauged Hamiltonian eigenmetric -- the more uneven that its homotopic residue will then tend to be distributed, from within the Ward-Cauchy confines of the proximal locus -- that is Poincare to the motion of the said eigenset.  The more uneven that an orbifold eigenset's homotopic residue will be distributed, from within the Ward-Cauchy confines of the proximal locus -- that is Poincare to the motion of any given arbitrary orbifold eigenset, -- the higher that the scalar amplitude will then tend to be, of that cohomology, that  will then tend to be produced -- by the Fourier-related kinematic motion of the said eigenset, over the so-eluded-to constraints of terrestrial time.  This would here be relativistic to a terrestrial observer's reference-frame.  This is even though the overall net scalar amplitude, of the homotopic residue of the said orbifold eigenset -- as a whole -- is to be conserved.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Other Aspects Of Density Of Homotopic Residue

Let us consider a given arbitrary orbifold eigenset, that is of mass-bearing superstrings of discrete energy permittivity--  the said eigenset of which is here to be of a three-spatial dimensional reference-frame.  It is approaching the speed of light.  Although its relative "length" is to contract, as its Lorentz-Four-Contraction is here to happen -- of which consequently works to help at causing the density of its homotopic residue to increase at its relative "length," both its relative "thickness" and its relative "width" is neither to contract nor to expand in the process.  The said orbifold is to be a composite of discrete quanta of energy, that come together to form a holonomic substrate -- that acts as a tense of a Hamiltonian operator.  So, as the density of its homotopic residue is to increase at its said "length," the homotopic residue in this particular case, is then to become less dense at its relative Nijenhuis-to-forward-holomorphic/Njenhuis-to-reverse-holomorphic dimensional parameterization.
This will then work to mean, that the scalar amplitude of the delineation of the overall net homotopic residue of an orbifold eigenset will tend to be conserved.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

The Relative "Length" That Is Contracted

Let us consider that the direction that a given arbitrary orbifold eigenset is to be traveling in, is to be in its forward-holomorphic direction.  The relative "length" that is to be contracted, as such a said orbifold eigenset is to be approaching the speed of light -- is to be in the relative respective norm-to-holomorphic/reverse-norm-to-holomorphic Fourier-related positioning/direction.
Think of this in terms of what happens with individually taken superstrings of discrete energy permittivity during the Polyakov Action -- when such an action is to decrease in its scalar amplitude, which is as the correlative Lorentz-Four-Contraction is to increase.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homotopic Residue And Dimensional Contraction

Although the quantitative-related net distribution of homotopic residue tends to be conserved, the spatial-related density of such a so-eluded-to  orbifold eigenset -- is to tend to be metrically increased -- as such an orbifold eigenset is to approach the speed of light.  When an orbifold eigenset moves faster -- its relative "length" is to contract.  This means, that the homotopic residue that is situated at the relative "length" of an orbifold eigenset -- is to tend to become denser, as the said orbifold eigenset is to move at a higher velocity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Kinetic Energy And Homotopic Residue

Superstrings of discrete kinetic energy permittivity act, in part, as the substrate by which the partition-based discrepancies that are of mass-bearing superstrings of discrete energy permittivity, may be exchanged -- in such a manner to where the phenomenology of homotopic residue may be conserved.  This is not to be confused with superstrings of discrete electromagnetic energy -- that act as the relativistic "eigenbase" for that activity that allows for the conservation of homotopic residue.
Although the quantitative-related net distribution of the homotopic residue, that is of mass-bearing superstrings, is conserved -- relative to both the motion and the existence of electromagnetic energy, the presence of kinetic energy acts as both a liaison and a buffer, -- that works here to help in the transfer of the exchange of those partition-based discrepancies, that are redistributed from within the Ward-Cauchy-related confines of mass-bearing orbifold eigensets, as such orbifold eigensets are to vary in their relative velocity, relative to light.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homotopic Residue And Light

The delineation of all homotopic residue that is of mass-bearing superstrings, is relative to both the motion and the existence of electromagnetic energy -- or, to paraphrase this -- the delineation of all homotopic residue, is relative to both the motion and the existence of light.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Rate Of Acceleration And Homotopic Residue

As a given arbitrary superstring of discrete energy permittivity is to increase in either its acceleration or in its deceleration over time, in terms of working to bear a respective increase or a respective decrease in the rate, that the directly corresponding Lagrangian-based superstring is to be transferred either respectively faster or slower from one point to another over time -- it is then to increase in the rate by which such a said superstring of discrete energy permittivty is to either respectively lose partition-based discrepancies (if it is increasing in its said acceleration) or to gain partition-based discrepancies (if it is increasing in its said deceleration), over an evenly-gauged Hamiltonian eigenmetric.  This will then mean, that such a said superstring -- will then be in such a condition -- to where it will then be increasing in the rate of its exchange of such partition-based discrepancies.  This will then mean, that an increase in the acceleration of a superstring of discrete energy permittivitiy, or, as well, an increase in the deceleration of such a said string -- will then result in an increase in the rate of the perturbation of the delineation of that homotopic residue, that is proximal to the codifferentiable-related variable locus, in which such a so-mentioned superstring is to be transferring through -- in such a manner to where this is to happen, via the kinematic motion of its directly associated Lagrangian over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Majorana-Weyl-Invariant-Mode And Homotopic Residue

The higher that the tense is of the correlative condition, that is appertaining to a Majorana-Weyl-Invariant-Mode -- that an individually taken superstring of discrete energy permittivity is to be of -- the more that homotopic residue is to then to tend to Converge Upon the proximal locus of the just mentioned superstring of discrete energy permittivity -- at a reference-frame that is Poincare to the topological stratum of the said individually taken string.  Consequently, the lower that the tense is of the correlative condition, that is appertaining to a Majorana-Weyl-Invariant-Mode -- that an individually taken superstring of discrete energy permittivity is to be of -- the more that homotopic residue is to then to tend to Diverge From the proximal locus of the just mentioned superstring of discrete energy permittivity -- at a reference-frame that is Poincare to the topological stratum of the said individually taken string.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Gravitational Impdedance And Homotopic Residue

The higher that the impedance caused by gravity happens to be in a given case, as it is to be applied to any one given arbitrary superstring of discrete energy permittivity -- the slower that such a superstring will consequently tend to travel.  The slower that the said superstring will travel -- the lower that the consequent correlative Lorentz-Four-Contraction will then tend to be.   The lower that the Lorentz-Four-Contraction will be upon a superstring of discrete energy permittivity -- the more partition-based discrepancies that will be attributed to the extrapolation of the mapping of the said superstring's topological contour.  The more partition-based discrepancies that will be attributed to the extrapolation of the mapping of the said superstring's topological contour -- the more that the phenomenology of homotopic residue will then tend to converge upon the correlative individually taken superstring of discrete energy permittivity of this respective given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Both Partition-Based Discrepancies And Their Exchange

So -- not only are the partition-based discrepancies that are of a superstring of discrete energy permittivity to be assymetric in their geometry to the partition-based discrepancies of its directly corresponding counter string of discrete energy permittivity, over the course of one respective given arbitrary iteration of BRST, -- the exchange of such partition-based discrepancies over a sequential series of iterations of BRST-- that are of such a said superstring of discrete energy permittivity -- is to be assymetric in its geometry as well to the exchange of such partition-based discrepancies, that are of the said directly corresponding counter sting of discrete energy permittivity -- over that self-same sequential series of iterations of BRST.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Assymetrically Positioned Homotopic Residue

The homotopic residue that is here to be displayed by a superstring of discrete energy permittivity, over a sequential series of iterations of  BRST, tends to be assymetric in its covariant, codeterminable, and codifferentiable geometrical positioning -- when this is taken in a relative manner to the homotopic residue that is here to be displayed by its directly corresponding counter string of discrete energy permittivity, during the self-same sequential series of iterations of BRST.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

How Homotopic Residue Balances

The higher that the Lorentz-Four-Contraction -- that is to be applied to a given arbitrary orbifold eigenset, happens to become, to where such a said orbifold eigenset is of mass-bearing superstrings of discrete energy permittivity -- the more homotopic residue is then here to tend to diverge from the individually taken superstrings, that work to comprise the said orbifold eigenset.  Yet, such an orbifold eigenset will then tend to gain a proportionable higher number of mass-bearing superstrings of discrete energy permittivity, in the process.  So, in the process of either a gain or a loss of speed that is to incur upon any given arbitrary orbifold eigenset of mass-bearing superstrings of discrete energy permittivity as a whole -- there tends to be no net loss nor gain of the phenomenology of homotopic residue, in the proximal local region of the said orbifold eigenset itself.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homotopic Residue And Rates Of Speed

Let us initially consider one given arbitrary orbifold eigenset.  The Slower that the said orbifold eigenset is to travel in one given direction -- the more that homotopic residue is to tend to Converge upon those individually taken superstrings, that work to comprise the said orbifold eigenset.  Consequently, the Faster that the said respective orbifold eigenet is to travel in that same one given direction -- the more that homotopic residue is to Diverge from those individually taken superstrings, that work to comprise the said orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homotopic Residue And Lorentz-Four-Contractions

As an orbifold eigenset approaches the speed of light, over an evenly-gauged Hamiltonian eigenmetric, -- it will then tend to have an increased Lorentz-Four-Contraction.  As such an orbifold eigenset is to have a higher Lorentz-Four-Contraction -- the individually taken superstrings, that work to comprise the said orbifold eigenset -- will then tend to have less partition-based discrepancies, that are directly involved with the contour of their mappable topological sway.  As an orbifold eigenset is to work to bear individually taken composite superstrings of discrete energy permittviity, that work to bear less partition-based discrepancies -- homotopic residue will then tend to be diverging away from the moving differentiale locus, by which the said individually taken superstrings of the said orbifold eigenset are to be moving through over time, -- in the course by which the said orbifold egienset is to then to be going through an accelerated respective given arbitrary Lagrangian-based path, over the said respective given arbitrary evenly-gauged Hamiltonian eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Partition-Based Discrepancies And Homotopic Residue

The exchange -- over time -- of what I term of as partition-based discrepancies, works to help at forming the phenomenology of homotopic residue.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Partition-Based Discrepancies And General Gist

Take a bosonic mass-bearing superstring, as it is going through an iteration of BRST.  Consider the general "gist" of both the said superstring's topological mappable sway, as well as the general "gist" of the mild vibratory oscillation that it is to display, during the said iteration of BRST -- when this is to take into consideration the Polyakov Action eigenstate that such a said superstring is here to exhibit, -- when given its scalar amplitude of that Lorentz-Four-Contraction that it is to display, at that given arbitrary respective iteration of BRST -- that is of such a specific case.  The correlative partition-based discrepancies that such a said superstring is to exhibit, are to be delineated just to the "side" of such a general gist, -- as I will explain in much more detail in later posts.
Hint:  Such partition-based discrepancies are here to be propagated in a Laplacian-based manner in a general method of delineation, that is in the holomorphic-to-Njenhuis direction, that is to be distributed as a two-dimensional set of discrepancies that are to go from being placed: from the first partition-based discrepancy being at a holomorphic/norm-to-forward-holomorphic positioning, to the next partition-based discrepancy being placed at a reverse-holomorphic/norm-to-reverse-holomorphic positioning, to the next partition-based discrepancy to being placed at a holomorphic/norm-to-forward-holomorphic positioning, etc..., for as many partition-based discrepancies that such a said superstring is here to have.  (One may simplify this case further, if one were to, instead, to have only one or two partition-based discrepancies, along the general topology of the said string.)  The number of partition-based discrepancies, is to the inverse of its Lorentz-Four-Contraction. The higher the Lorentz-Four-Contraction of a string is, the less partition-based discrepancies that such an individually taken string is to have.  More to be said about this later.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.

Special Derivation

I derived the value "3.026*10^(-32)Kilograms" at the beginning part of my earlier formula, from the condition -- that the mass of a neutrino-based orbifold eigenset is of the value of 17,000 electron volt's eqivalent worth of mass.  An electron volt's equivalent worth of mass is 1.78*10^(-36) Kilograms.  17,000*1.78*10^(-36) Kilograms is 3.026*10^(-32) Kilograms.
Force is proverbially mass times acceleration.  If one were to take the mass of a typical neutrino-based orbifold eigenset, -- and if one were to make this to travel with a tense of a "pulse" of 1 meters cubed per second squared, (like a force, yet in terms of "meters cubed" per second squared instead of in terms of "meters" per second squared, since the macroscopic world is to bear the perverbial three spatial dimensions plus time) -- and if one were to then to multiply the latter by the said mass of a typical neutrino-based orbifold eigenset, -- then, one would then bear to have a value of "3.026*10^(-32)Kilograms*Meters Cubed/Seconds Squared.
The maximum mass of an individually taken neutrino-based superstring is, though, only a fraction of an electron volt's equivalent worth of mass.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Metric-Gauge-Related Pulsation

Here is an idea -- as to what the mathematical formula is, as to how one is to work to determine what the metric-gauge-related pulsation is to be -- between any two respective given arbitrary orbifold eigensets:

(3.026*10^(-32))(kilograms*meters^3/seconds^2))*
(1/(e^(del of the Ricci Flow))(seconds^2/meters^2)*
(Angle Subtended Between The Two distinct respective given arbitrary orbifold eigensets -- as to here to be taken in a consistent manner)(< in degrees)*
(The Duration Of The Respective Given Arbitrary Yukawa Coupling -- In Which Such A Said Respective Given Arbitrary Metric-Gauge-Related Pulsation Is Here To Occur)(Seconds)

This is then to arise, to give units of Kilograms*Meters*Degrees*Seconds, --
In so as to work to provide a tense of a consideration of metric-gauge-related (Kg*Degrees),
Pulsation (Meters*Seconds).

This is in an effort to move in the direction of the Grand  Unified Field Theory.

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

Partition-Based Discrepancies And Gauge-Bosons

During BRST -- gauge-bosons work to strike the correlative second-ordered light-cone-gauge eigenstates, in so as to work to form what may here be termed of as Schwinger-Indices.  Gauge-Bosons are what I also term of as being, the "E(6)XE(6)" heterotic strings.  Such a general genus of a heterotic string, is also an oscillation-based tendency -- that as well works to form these said gauge-bosons. The earlier mentioned said Schwinger-Indices, act along the Rarita Structure -- in so as to act as what amounts to as the force of gravity.  Now -- as a mass approaches the speed of light, it is then to both increase in its Lorentz-Four-Contraction, and thereby to decrease in the scalar amplitude of its Polyakov Action eigenstate, as it will then tend to decrease in the correlative number of partition-based discrepancies per individually taken superstring of discrete energy permittivity, that it will then show to exhibit.  This is in part due to the condition, that as a mass is to change in its rate of motion -- when compared to both the motion and the existence of light, that this general genus of perturbation will then tend to effect the inter-relationship of gravity -- with both the so-eluded-to set of mass-bearing superstrings of discrete energy permittivity And light.  Such a said perturbation, that is of an inter-relationship of gravity -- will then tend to work to alter both the relativistic length, time, and mass, that is of the said set of mass-bearing strings.  Such an alteration in the amount of partition-based discrepancies, works to form an alteration in an oscillation-based tendency that I term of as being, the "E(8)XE(8)" heterotic string.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Discrete Energy And Partition-Based Discrepancies

Discrete energy -- particularly superstrings of discrete energy permittivity, -- tend to be delineated at the central cite of merging, that exists here, between the cohomological divergence of homotopic residue And the cohomological convergence of homotopic residue.  Homotopic residue is created by the general interdependent interaction of electromagnetic energy, as it is made Yukawa with other phenomenology of discrete energy in a discrete manner.  Partition-based discrepancies exist, due to a certain general genus of a set of Wess-Zumino/Cevita-related conditions, that are involved with the process in which kinematic vibrations of discrete quanta of phenomena -- that are produced by the action of gauge-bosons -- act, in so as to work to inter-relate discrete quanta of electromagnetic energy with other discrete quanta of energy in a particular manner.  The E(6)XE(6) strings work to inter-relate the E(8)XE(8) strings. (explain later).  As mass moves towards light speed, the number of partition-based discrepancies per individually taken superstring of discrete energy permittivity decreases, in so as to allow for the continued kinematic motion of mass, when this is taken relative to light.  This is due to the condition, that the Polyakov Action decreases as the Lorentz-Four-Contraction increases.  The correlative individually taken orbifold eigensets, are to then to acquire more superstrings of discrete energy permittivity, as these work to bear more mass -- as is as according to the nature of the Lorentz-Four-Contractions.  As the Polyakov Action is decreases in its scalar amplitude, the correlative individually taken superstrings of discrete energy permittivity -- are then to bear less partition-based discrepancies.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Noether Flow And Lagrangian-Related Path

Let us initially consider a general Stoke's-based Lagrangian-related path, that may be extrapolated in many different potential ways -- since such a said path may vary in its relative multi-dimensional depth, over time.  Let us next consider the given arbitrary respective orbifold eigenset, that is to be able to go through such a general genus of a path -- over a here considered evenly-gauged Hamiltonian eigenmetric, which may vary in its specific duration, -- when this is in consideration of the actual specific as contrasted with just the general path, that is here to be extrapolated.  Let us next consider, that the said orbifold eigenset here -- is to be undergoing a Noether-related flow, over the course of its translation through the extrapolated Lagrangian-related path -- that is here to be brought through, via an even set of a sequential series of instantons, in the process of an even-function-based Fourier series.  The higher that the tense of the Majorana-Weyl-Invariant-Mode is, that is of the said orbifold eigenset -- the more conformal invariant that the directly corresponding translation will be, of the correlative Lagrangian that is related to the transfer of the said orbifold eigenset from one spot to the next over time, that is here to be traversed over a general path that may vary in the specifics of its depth-related parameters, as is according to the specific manner of the correlative extrapolated Stoke's-related depth. The more conformal invariant that the directly corresponding translation will be, of the correlative Lagrangian that is related to the transfer of the said orbifold from one spot to the next over time, -- the more time that it will tend to take for the said orbifold eigenset to then to be able to be translated over the general said Stoke's-based Lagrangian-related path --  since the said orbifold eigenset will then tend to have less of a thrust of motion over the course of going through the said general extrapolated path, as a set of discrete quanta of energy that function to form one specific operation, to where the so-eluded-to holonomic substrate of energy as being the said orbifold eigenset, will then tend to have less energy of net transversal motion, as this will then tend to cause the general transversal Lagrangian to be impeded along its general path, when this is taken along the so-eluded-to specific path of a potentially varying depth.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Homotopic Residue And Orbifold Eigensets

Let us initially consider a set of orbifold eigensets -- that work to bear a smoothly generated Yukawa Coupling, that is of the proximal locus which is neighboring the surrounding Ward-Cauchy-related region, over time.  That homotopic residue that is here to thence be transferred, among the neighboring discrete quanta of energy -- that are here to be directly corresponding to the earlier mentioned Yukawa Coupling, that is here to be of the so-eluded-to relatively smoothly generated nature over time -- is then to tend to be conserved from within that Ward-Cauchy bounds, that is proximal local to the so-eluded-to substringular neighborhood.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Transfer Of Homotopic Residue

Let us initially say that one is to have a set of superstrings, that are here to be undergoing a tense of Noether Flow -- that are here to work to bear a Yukawa Coupling towards each other, in a viable manner over time.  The swifter that the said Yukawa Coupling is to be generated, over the so-eluded-to evenly-gauged Hamiltonian eigenmetric -- the swifter that the respective transfer of the correlative homotopic residue will be, of the directly corresponding interplay of those substringular fields -- that are here to be of the respective proximal locus at which the said Yukawa Coupling is here to have occurred.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach