More As To The Ricci Flow

When there is to be the presence of anti gravity -- there is to be a general process, in which the relative holomorphic direction of the incremental deformity of the metric of a Riemannian manifold, -- is to revert into the a relatively antiholomorphic tense, as to the then present direction of the incremental deformity of the metric of that self-same Riemannian manifold.   The quicker that such an inversion in the relatively holomorphic direction, of the incremental deformity of the metric of such a so-eluded-to Reimmanian manifold, is here to happen, -- the stronger that the tense of the so-inferred anti gravity is then to be.  To Be Continued!  Oh Yah!!!  Sincerely, Samuel David Roach.

Anti Gravity And Decrease Of Impedance

The application of anti gravity to a set of mass-bearing strings, tends to decrease the impedance of the thus effected superstrings of discrete energy permittivity -- which thus works to cause mass-bearing superstrings of discrete energy permittivity -- that are here to be directly effected by the said anti gravity, to undergo a higher velocity, -- to where such effected strings are thus to both increase in their Lorentz-Four-Contraction, decrease in their Polyakov Action, increase in their physical condition of holonomy, as well as to then to work to cause those orbifold eigensets that such said strings are to work to comprise, to bear a higher scalar amplitude of a Majorana-Weyl-Invariant-Mode.  Such an application of anti gravity, thus works to increase the Kahler-related quotient, that is of those mass-bearing superstrings of discrete energy permittivity -- that are here to be effected by such an application of the said anti gravity.  Again -- the difference between reverse-gravity and anti gravity, is that reverse-gravity is a reversal in the direction of gravitational waves; whereas, anti gravity is a tense of gravity, in which there is a reversal in the actual flow of the proximal local Ricci Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Genus Of Field And Holomorphic Tendency

When an orbifold eigenset is to change in the general genus of the type of field that it is exhibiting, -- then, such an orbifold eigenset will then tend to alter in the genus of its holomorphic tendency.  A holomorphic tendency, is the the tendency of direction that a superstring will be inclined to move into -- when given the relative positioning of its angular momentum-related eigenindices.  Samuel Roach.

Homotopic Residue And Noether Flow

Homotopic residue tends to be conserved in the substringular in the manner that I have described before, when the directly correlative superstrings are to be undergoing the course of Noether Flow.  Sincerely, Samuel David Roach.  P.S.: If you have any questions about my blog, you may also e-mail them to me -- at, sroahir@hotmail.com.

Increase Or Decrease In Impedance

An increase of the impedance, that is enacted upon a discrete quantum of energy, works to increase the scalar amplitude of that disarray, that is here to be situated Poincare to the proximal local disturbance of space, that is here to act as a quantum of energy; whereas -- a decrease of the impedance, that is enacted upon a discrete quantum of energy, works to increase the scalar amplitude of that condition of holonomy, that is here to be situated Poincare to the proximal local disturbance of space, that is here to act as a quantum of energy.  To Be Continued!  Sincerely, Samuel David Roach.

Impedance And Partition-Based Discepancies

The higher that the scalar amplitude of the Polyakov Action of a superstring of discrete energy permittivity is to be, the greater its impedance.  The greater the impedance of a superstring of discrete energy permittivity is to be, the more partition-based discrepancies that it is then to work to bear.  The more partition-based discrepancies that a superstring of discrete energy permittivity is to work to bear, both the slower that the said string is then to be traveling at, when in relation to light, & the lower that its correlative Lorentz-Four-Contraction will then tend to be.  To Be Continued!  Sincerely, Sam Roach.

Light As A Smooth Relation

Light is a relatively smooth relation.  Electric field interaction is also a relatively smooth relation.  If electrical fields were to theoretically dissipate, then their fields would then tend to lack their initial symmetry towards each other, and thus would bear a lack of their initial tangency.  A lack of such tangency would then work to mean, that the consequently formed motion-related singularities, that would be acting upon the dissipating electric fields of the correlative light, would then work to form a tense of divergence, that would be of a Dirac-related nature, -- since asymptotes in field interaction work to mean, that the initially contingent electric fields, that have subsequently been dissipated in this case, are then to diverge from a tense of a tangency or touch-related conditions.  If the initially stated electric field is to then to be dissimulated, then, the initially inferred tense of electromagnetic energy, is then to alter out of its initial general genus of behavior.  This will then work to cause a correlative Cevita interaction -- in the correlative delineation of the proximal local electrostatic force, that is here to be Poincare to the region of the directly corresponding Ward-Cauchy-related "neighborhood."  This then indirectly infers, that the general homotopic characteristics of the electrostatic force -- tend to work to bear a hermitian translation, when this is in terms of the Fourier-related transference of the Hamiltonian operation of the multiplicit electric field.  Sincerely, Sam.

More As To What's Meant By Partially Yau-Exact

Part of what I mean, by that light is of a partially Yau-Exact nature -- is, that even though the transversally-translated indices of any one discrete quantum of electromagnetic energy, are here to be conveyed in such a manner, to where these are to work to involve as much of a cohomology-related generation as a cohomology-related degeneration, as when taken over an evenly-gauged Hamiltonian eigenmetric, -- the radially-translated indices of such a self-same discrete quantum of electromagnetic energy, are here to be conveyed in such a manner, to where these will tend to not work to involve an even bearing of as much of  a cohomology-related generation as a cohomology-related degeneration, as when taken over the self-same evenly-gauged Hamiltonian eigenmetric.  This is, in part, due to the condition, that the electric field of a discrete quantum of electromagnetic energy, is here to display a greater De Rham cohomology -- than its directly corresponding magnetic field is to work to bear.   Since the magnetic field of any one discrete quantum of electromagnetic energy -- is here to be of more of a Doboult-related tense of a cohomological nature, than its correlative electric field is, it then tends to work to make electromagnetic energy to be partially Yau-Exact Instead of being fully Yau Exact.  Sam Roach.

More As To The Function Of Fields

The exact magnitude and direction of magnetic and electric fields may vary, although the basic "ingredients" of these are constant.  (One electron has a basis of one electron volt, it has a mass of roughly 9.11*10^(-31) of a kilogram, etc... .)  As an electron moves and changes its spot, its relation in other things changes.  Yet, if the basic "ingredients" that work to define as to where the electron is & what it is doing (which may not be simultaneously determined, via the Heisenburg Principle) is to become different than those stipulations that are to allow it (the electron) to be what it is, then it is no longer an electron -- to where it is then to tend to be a residue of what it previously was.  In order for such residue to not occur, in which such an otherwise said residue is not contingent in working to define how an electron is to behave, the fields that work to define the differentiating boundaries of what an electron is, must have a contingent genus of a harmonic oscillation, that is here to be of a fractional spin.  When such a general genus of a harmonic oscillation, is to work to bear a relatively smooth homotopic translation, any directly corresponding hermitian singularities that are to innately exist, are here to work to define a lack of overt jointed spurs -- when in the Fourier-related transfer of the said electron from one spot to another.  This then means, that the surface areas that were described by the translation of the fields of the given electric and magnetic fields, must then NOT be broken-up or jointed like a metaphorical "crumbled shell," to where, instead, these said fields are interconnected, like you would metaphorically think of water to be like.  Think of light.  It is a "thing."  A "hole" in it really isn't a "hole," it is more like a "shadow," or a section that you can not see.  A "hole" in light, is a spot where there is no light.  Light is energy that is formed by the release of the residual energy that is emitted by an electron, when it is here to drop back-and-forth an energy level.  So, electrons obey certain laws.  More to come.  To Be Continued!  Sincerely, Samuel David Roach.

Light-Cone-Gauge Eigenstates And Instanton

As superstrings of discrete energy permittivity begin to iterate, over the course of an increment of instanton -- the correlative quanta of light-cone-gauge eigenstates, act as "reins," that work to cause the directly corresponding Fadeev-Popov-Trace eigenstates to "dance" into their proximal locus of iteration.  Both the spin, orbital, and the transversal responses of the said Fadeev-Popov-Trace eigenstates -- send min-stringular impulses, that work to help in causing the activity of the Imaginary Exchange of Real Residue to occur.  The just mentioned Imaginary Exchange of Real Residue, acts, in so as to help at working to push the light-cone-gauge eigenstate-related quanta relatively inward,-- in so as to multiplicitly work to "spring" the general substringular arena, into the then ensuing iteration of the generally unnoticed duration of Ultimon Flow.  As the said quanta of light-cone-gauge eigenstates, work to bear an equal and opposite reaction of a resultant outward springing motion of topological flow -- the directly correlative Fock Space then works, to help at "gearing" the correlative negative-norm-spaces to work to degenerate any spatially interfering cohomological residue, in so as to work to help to allow for the generative flow of spatially conducive cohomological eigenstates.  As the said spatially conducive cohomological eigenstates are facilitated, in the process of the degeneration of spatially interfering cohomological residue, -- the resultant phenomenology thence formed, works to produce the holonomic substrate of those dilatons and dilatinos, that act when in conjunction with the directly corresponding Fourier-related proximal local Schwinger-Indices , in so as to facilitate that general multiplicit genus of activity, that works to help in the production of gravitational waves, over time.  To Be Continued!  Sincerely, Samuel David Roach.

More As To Being "On" The Paraboloid

Now, let's get back to what I was referring to before.  Let's say that a "point" on the earlier said paraboloid, is here to be relatively stationary, at an internal reference-frame.  It seems to be going nowhere -- from the vantage-point of an observer that is here to be "standing" on the paraboloid.  Yet -- it (the "point") is to be spinning, from the vantage-point of an observer, whom would be at an external reference-frame.  Next -- let's say that the paraboloid was just setting there.  The paraboloid has a position, since it has a shape.  (Please bear with me on this one.)  Anything that has a position, exists at an angle.  Next -- let's say that the paraboloid were to roll off of a plane-like surface, that it was originally on top of.  Its angle of position at each increment of motion along the plane, -- works to define its coexistence with its environment, even when working to include the surface that it is here to be rolling off of.  The rolling of the object is like a spin.  The change in the object's norm conditions as it rolls, is the physical action of the OBJECT -- that brings it to the newly founded general positioning that it is now to be at,  over the Fourier-related translation of MOTION.  The driving force of the object, in whatever direction it is pressured into -- also works to cause motion, by allowing a positional drive of the said object.  So, change in norm conditions -- in both radial translation and positional drive, -- work together, to form the basic building blocks of regular motion.  To Be Continued!  Sam Roach.

More As To Metaphorically "Standing" On A Paraboloid

Let's go back to what I was saying in one post, -- when I had mentioned about metaphorically "standing" on a spinning paraboloid.  Let's next say, that one was to remain perfectly still on this said metaphorical paraboloid.  Consequently, you are now to be in touch with a constantly differentiating norm-vector, that is kept in the sequential pattern of the spinning of the paraboloid.  Consider the rate of the spinning to be holomorphic to the surface area of the paraboloid.  Consider the rate of the spinning to be maintained at a constant speed.  Of course, since you are spinning, your direction is always changing, so that you are constantly accelerating.  Think of the translation of phenomena that is besides yourself -- to where, again, you are staying "put" -- that was at one point touching the paraboloid, from within the physical bounds of the surface area of it, as being proportional to the differentiation in the speed of the correlative spinning.  This would then mean, that the discharge from the said surface, would be transferred at a constant rate.  Consequently -- since this is true for the whole topology given, it is certainly true for the potential spot at which you would be at.  You are in line with a potential discharge of residue, from the surface of the paraboloid, -- which would then be a translocation of the surrounding phenomena.  This would then mean, that the earlier mentioned norm-vector, that is interactive at each point along the surface, would be constant in magnitude -- although it would be constantly changing in direction. Wouldn't this mean, then, that the norm conditions of the surface area of the given paraboloid, would be constantly altering part of the correlative Cauchy-related norm conditions, while yet constantly maintaining the others?  (Additional Cliffhanger).
To Be Continued!  Sincerely, Samuel David Roach.

More As To Yau-Exact Nature

The greater that the scalar amplitude is to be, as to the tense of the correlative Majorana-Weyl-Invariant-Mode that is of a mass-bearing orbifold eigenset -- the more evenly that the correlative orbifold eigenset is to then to generate as much cohomology as it is here to degenerate, over a correlative evenly-gauged Hamiltonian eigenmetric, -- to where such a said given arbitrary orbifold eigenset, is to then to work to potentially tend to be able to have a greater capacity of bearing a higher tense of a magnetic nature, over the earlier inferred evenly-gauged Hamiltonian eigenmetric -- in which such a said respective set of discrete energy that is to work to perform one specific function, is to behave in the so-eluded-to general tense, of having a nature of working to bear such a hightened tense of a scalar amplitude of such a Majorana-Weyl-Invariant-Mode.  I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

Some More Stuff As To Yau-Exact Phenomenology

Mass-Bearing superstrings of discrete energy permittivity, are said to tend to be of a Yau-Exact nature, -- since these are generally capable of generating as much cohomology as these degenerate, over time.  For instance -- let's consider a mass-bearing orbifold eigenset, that is here to be considered to be superconformally invariant, at an internal reference-frame, -- over an evenly-gauged Hamiltonian eigenmetric.  Since such a said mass-bearing orbifold eigenset, is here to be exhibiting a tense of a Majorana-Weyl-Invariant-Mode, -- it is here to thence to be in a substringular state of static equilibrium, at the earlier mentioned tense of an internal reference-frame.  This is here to be the tendency of such a case -- no matter how quickly that such a so-eluded-to set of discrete energy of mass is to be transferred by a Legendre homology, at an external reference-frame.  Under such a so-eluded-to set of Ward-Cauchy-related conditions, the said orbifold eigenset, of which is an integrative set of discrete energy, that is here to work to perform one specific function, is to then to tend to generate as much cohomology as it is here to degenerate.  Consequently, -- the higher that the scalar amplitude of the Majorana-Weyl-Invariant-Mode is to be, the tendency will then be, that the more centralized that the proximal local resultant gauged-action will be -- as to the Ward-Cauchy-related effect, as to the operation of the condition, of there to here be the state of there being as much cohomology to be relatively locally generated at such a specific region that is proximal local to the said orbifold eigenset, as there is here to thence be degenerated at such a specific region that is proximal local to the said orbifold eigenset, -- over the so-eluded-to proscribed evenly-gauged Hamiltonian eigenmetric.  To Be Continued!  Sincerely, Samuel David Roach.

Generative E(8)XE(8) Oscillation-Based Tendency

The E(8)XE(8) substringular oscillation-based tendency of a superstring of discrete energy permittivity tends to be generative, when its directly corresponding Fadeev-Popov-Trace eigenstate is to be vibrating in a harmonic manner; whereas -- the E(8)XE(8) substringular oscillation-based tendency of a superstring of discrete energy permittivity tends to be degenerative, when its directly corresponding Fadeev-Popov-Trace eigenstate is to be vibrating in an anharmonic manner.  Sam.

Overall Substringular Thrust Of Orbifold Eigensets

A Noether-Based orbifold eigenset, tends to move in the direction of the summed overall substringular "thrust" (Ward-Cauchy-related equivalence of a substringular "thrust," as taken at a fractal of what we would normally think of as being of the nature of a thrust), of all of the additive exhibited holomorphic tendencies, that are of those discrete quanta of energy, that work to comprise the said orbifold eigenset, -- when in multi-consideration with the directly correlative gauged-action-related activity, of both the proximal local E(6)XE(6) substringular oscillation-based tendencies, & the directly correlative gauged-action-related activity, of the proximal local E(8)XE(8) substringular oscillation-based tendencies.  I will continue with the suspense later!  To Be Continued!  Sam Roach.

Holomorphicity And Relative Positionings

Let us initially consider a superstring of discrete energy permittivity.  Let us initially consider that motion that is directed into the relative left direction, as to be correlative to the relative holomorphic direction.  Next -- let us "reposition" our perspective, -- to where this just mentioned "relative left" direction, is now to be in the relative cross-product direction (to where such a said direction is now to be directed "straight forward.")  Consequently, at this point of a Laplacian-related consideration:  The relative Nijenhuis-to-forward-holomorphic positioning is at the relative left end of the said superstring, and may be denoted as to be corresponding to "i";  The relative Nijenhuis-to-reverse-holomorphic positioning is at the relative right end of the said string, and may be denoted as "-i";  The relative norm-to-forward-holomorphic positioning is at the relative "top" end of the said string, and may be denoted as "1-i"; And the relative norm-to-reverse-holomorphic positioning is at the relative "bottom" end of the said string, and may be denoted as "1+i."  To Be Continued!  Sam Roach.

Product-Based Nijenhuis Coupling

If any given arbitrary superstring of discrete energy permittivity, is to make the equivalence of a product-based Yukawa coupling -- that is here to be enacted, as some given arbitrary multiple of a product-related coupling, that is here to occur between its two Nijenhuis-based ends, -- then, the resultant correlative Betti number will be of an odd number.  If such a general tense of a product-based Yukawa coupling, is to happen both just before BRST, as well as during the immediately ensuing gauge-metric of the Regge Action, then, the correlative superstring of such a respective given arbitrary case, will immediately ensue, in so as to leave the general course of a Noether-related flow, to where such a string, will then become temporarily of a tachyonic nature.  Sincerely, Samuel David Roach.

Nijenhuis-Related Coupling

If any given arbitrary superstring of discrete energy permittivity, is to work to bear an additive coupling, that is here to be equivalent to a theoretical additive Yukawa coupling, that is here to be enacted simply between its Nijenhuis-to-forward-holomorphic end and its Nijenhuis-to-reverse-holomorphic end, -- then, such a said respective superstring of discrete energy permittivity, will then consequently tend to bear an ensuing Betti Number of zero, -- of which will then mean, that the so-stated superstring will then tend to immediately ensue, in so as to neither lose nor gain any spatial dimensions, over the immediately proceeding duration of gauge-metrical activity.
To Be Continued!  Sincerely, Samuel David Roach.

Assembled Into A Tense Of Majorana-Weyl-Invariant-Mode

When a discrete set of superstringular phenomenology of kinetic energy -- is here to become assembled into a tense of a multiplicit Majorana-Weyl-Invariant-Mode, this will then work to convert such a said set of discrete kinetic energy, to transform into a tense of one or more mass-bearing orbifold eigensets.

Disassemmbled Out Of Majorana-Weyl-Invariant-Mode

When a set of mass-bearing orbifold eigensets, are here to be disassembled out of their multiplicit tense of a Majorana-Weyl-Invariant-Mode, -- then, the initially inferred mass, is then to convert into a tense of kinetic energy, -- as is implied by Einstein's equation:  E=MC^2.  To Be Continued!  Sam.

Isometric Symmetry Of Superstrings Of Orbifold Eigenset

The more isometric that the symmetry of the cyclical reverberation is -- as to those individually taken superstrings of discrete energy permittivity, that work to comprise one given arbitrary orbifold eigenset, -- the greater that the respective tendency will then consequently be, as to that the said given arbitrary orbifold eigenset to then have a higher scalar amplitude of a respective Majorana-Weyl-Invariant-Mode.  Sincerely, Sam Roach.

Holomorphic-Related Reverberation

The more that those individually taken superstrings of discrete energy permittivity -- that work to comprise any one given arbitrary mass-bearing orbifold eigenset, are put into such a situation, to where these said individually taken strings, are then free to reverberate in a relatively holomorphic-related manner, over a directly corresponding sequential series of group-related instantons, (which is here to be over the course of an evenly-gauged Hamiltonian eigenmetric), the more likely that the correlative orbifold eigenset, will then tend to work to bear a higher scalar amplitude of a respective tense of a Majorana-Weyl-Invariant-Mode.  To Be Continued!  Sincerely, Samuel David Roach.

Additive Supplemental Wave-Tug

A Noether-based given arbitrary superstring of discrete energy permittivity, may tend to be translated into the relative respective forward-holomorphic direction, when one of two things is to occur:

1)  If there is here to be the equivalence of an additive supplemental wave-tug that is here to occur between the norm-to-forward-holomorphic end of the said superstring And the Nijenhuis-to-forward-holomorphic end of the said superstring.

Or,

2)  If there is here to be the equivalence of an additive supplemental wave-tug that is here to occur between the norm-to-reverse-holomorphic end of the said superstring And the Nijenhuis-to-reverse-holomorphic end of the said superstring.

Superstringular Couplings And The Betti Number

If the angular momentum of a superstring -- as it is just about to enter an iteration of BRST -- is such, to where there were theoretically to be merely a coupling between the norm-to-forward-holomorphic end And the norm-to-reverse-holomorphic end of such a so-eluded-to superstring of discrete energy permittivity, then this would tend to work to form the proximal local generation of an even compactification of spatial dimensionality (a compactification that is here to involve a reduction in an even number of spatial dimensions), -- to where this would then work to be correlative to a even positive Betti Number.  Furthermore -- if the angular momentum of a superstring -- as it is just about to enter an iteration of BRST -- is such, to where there were to theoretically to be merely a coupling between the Nijenhuis-to-forward-holomorphic end And the Nijenhuis-to-reverse-holomorphic end of such a so-eluded-to superstring of discrete energy permittivity, then this would tend to work to form the proximal local generation of an odd compactification of spatial dimensionality (a compactification that is here to involve a reduction in an odd number of spatial dimensions), -- to where this would then work to be correlative to an odd positive Betti Number.  Now -- when such a theoretical activity is to be directly associated with a reversal in the chirality of such a general tense of a multiplicit coupling (such as would be the case during the Regge Action), then, this would then work to involve a decompactification in spatial dimensionality (to where there would then be an increase in the number of spatial dimensions present.)
Sam Roach.

Tense Of E(8)XE(8) Substringular Oscillation-Based Tendency

A generative E(8)XE(8) substringular oscillation-based tendency, tends to work to primarily involve a tense of one or more directly associated Wess-Zumio interactions; whereas, a degenerative E(8)XE(8) substringular oscillation-based tendency, tends to work to primarily involve a tense of one or more directly associated  Cevita interactions.  To Be Continued!  Sincerely, Samuel David Roach.

Harmonics Of Schwinger-Indices

When a given arbitrary Fadeev-Popov-Trace eigenstate, is to vibrate in a harmonic manner -- it tends to be correlative to the consequent proximal local formation of harmonic Schwinger-Indces, -- of which will then tend to work to form a Wess-Zumino influence, upon the adjacent eigenstates of the four general categorizations of the basic forces of nature.  Consequently; when a given arbitrary Fadeev-Popov-Trace eigenstate, is to vibrate in an anharmonic manner -- its tends to be correlative to the conequent proximal local formation of anharmoncic Schwinger-Indices, -- of which will then tend to work to form a Cevita influence, upon the adjacent eigenstates of the four general categorizations of the basic forces of nature.  To Be Continued!  Sincerely, Sam Roach.

Yau-Exact Orbifold Eigenstates And Evenly-Stable Structural Integrity

Orbifold eigensets that work to exhibit a Yau-Exact nature, over the course of any directly correlative evenly-gauged Hamiltonian eigenmetric, in which this is here to happen to be the case -- tend to work to bear an evenly-stable structural integrity, -- when this is in terms of its overall tense of a summed-up interdependent fractal and elastic modulus, over a respective directly corresponding sequential series of group-related instantons, in which such an earlier said orbifold eigenset is said to be Yau-Exact.Sam.

Toggling Of Scalar Amplitude Of E(8)XE(8) Substringular Oscillation-Based Tendency

The back-and-forth toggling, that is here to respectively exist for a given arbitrary mass-bearing orbifold eigenset -- that is here to go from working to generate a tense of the the scalar amplitude of an E(8)XE(8) substringular oscillation-based tendency, while then to degenerate a tense of the scalar amplitude of an E(8)XE(8) substringular oscillation-based tendency, and so on and so forth, -- works to have the potential ability, to work to generate a surplus of discrete kinetic energy -- at some general proximal locus or another in space and time.  Sincerely, Sam Roach.

The Kahler-Metric And The E(8)XE(8) Oscillation

A Yukawa Coupling is a Ward-Cauchy-related touch, rub, and/or curl.  The Kahler-Metric has to do, with the dimensional inter-relationships that exist, both among and with the E(8)XE(8) oscillation-based tendency of the substringular.  The E(8)XE(8) oscillation-based tendency of the substringular, works to act as a mediator between the multipilcit centralized knotting of the Rarita Structure & the general activity of gravity.  Noether-based discrete energy quanta tend to bear at least some touch, rub, and/or curl upon the Kahler-Metric -- since gravity (whether or not it is of an Anti-De-Sitter/De-Sitter general genus, or of a De-Sitter/Anti-De-Sitter general genus) tends to works to effect, in one manner or another,  most discrete quanta of energy at basically all times.  Sincerely, Sam

More As To The Ying And The Yang

The harmonic oscillation of Fadeev-Popov-Trace eigenstates reverse-fractals-out to work to form what may be termed of as being "ying."  Furthermore -- the anharmonic oscillation of Fadeev-Popov-Trace eigenstates reverse-fractals-out to work to form what may be termed of as being "yang."  Sam.

Ying And Yang

Generative wave-tug, that is produced by the E(8)XE(8) oscillation-based tendency -- works to form what may be termed of as being "ying";  whereas -- degenerative wave-tug, that is produced by the E(8)XE(8) oscillation-based tendency -- works to form what may be termed of as being "yang."  Sam Roach.

Kahler-Based Quotients And Substringular Structural Integrity

The greater the scalar amplitude of the correlative Kahler-based quotient of an orbifold eigenset -- the more fortified the E(8)XE(8) oscillation-based tendency is.  The more fortified the E(8)XE(8) oscillation-based tendency is, -- the greater the structural integrity is, of the directly corresponding orbifold eigenset.  Samuel David Roach.

Kahler-Based Quotients And Orbifold Eigensets

Let us initially consider a mass-bearing orbifold eigenset, that is superconformally invariant at an internal reference-frame -- as it is being tugged-along by a Legendre homology.  If it is to be spinning, its correlative Kahler-based quotient is multiplied -- by this factor alone -- by that Lorentz-Four-Contraction, that is here to be correlative to the speed of the so-eluded-to spinning.  So, if the respective orbifold eigenset is here to be spinning at a rate of (cos(30 degrees)*(light speed)), then, by this factor alone -- its Kahler-based quotient will be multiplied by a factor of two.  Next, if such an orbifold eigneset is to be both moving both transversally and spin-wise at (cos(30 degrees)*(light speed)), then, by these two factors alone -- its Kahler-based quotient will be multiplied by a factor of four.  Sincerely, Samuel David Roach.

Kahler-Quotient And Spin Of Orbifold Eigenset

Let us initially consider a mass-bearing orbifold eigenset, that is undergoing a tense of superconformal invariance at an internal reference-frame, as it is being tugged-along by a Legendre homology.  The higher that the scalar amplitude is, as to the spin of such a so-stated orbifold eigenset over a set duration, as it is here to be spatially translated over time through a unitary Lagrangian, -- the higher that its resultant Kahler-based quotient will then tend to be.  Such a said situation, will then work to result in the said mass-bearing orbifold eigenset, to then tend to exhibit a stronger wave-tug upon its environment, than if it were to otherwise to not be spining at such a mentioned higher scalar amplitude of motion over time.  Next, let's say that the said orbifold eigenset mentioned in this case, were here to act as a Hamiltonian operator.  This will, in turn, tend to work to help at causing the radial motion of such a said Hamiltonian operator, to have a higher fractal of Ward-Cauchy-related momentum, than it would otherwise have, -- than if it were to instead, to work to bear a lower scalar amplitude of spin-related radial motion, over the same respective time.
Sincerely, Samuel David Roach.

Cyclical Perturbations Of Superstrings, Part Two

Let's initially consider a given mass-bearing orbifold eigenset, that is here to be undergoing a tense of a Majorana-Weyl-Invariant-Mode.  The more symmetric that the overall sequential series of those cyclical perturbations are,  that work to help in describing the consequence of working to bear a net resultant of little to no Lagrangian-related directoral change -- in the displacement of the individually taken discrete quanta of energy, that work here to comprise the said orbifold eigenset over time -- the greater that the scalar amplitude will then tend to be, -- of the earlier mentioned tense of a Majorana-Weyl-Invariant-Mode, of such a so-stated given arbitrary respective case.  Sincerely, Sam Roach.

Cyclical Perturbation Of Superstrings

Let's initially consider a mass-bearing orbifold eigenset, that is superconformally invariant.  The more closely that the cyclical perturbation in the sequential series of the re-delineation of those individually taken discrete energy quanta, that work to comprise the said orbifold eigenset -- works to form a resultant summation, that is of little to no net overall displacement in Lagrangian-related directoral-related delineation -- the higher that the scalar amplitude will then tend to be, when this is as to the degree of that tense of the directly corresponding Majorana-Weyl-Invariant-Mode of such a case.  Samuel David (Anthony) Roach.

Spurious Schwinger-Indices

The lower that the Lorentz-Four-Contraction is for a discrete quantum of energy, the higher that the correlative Polyakov Action will then tend to be, -- to where the more spurious that the wave-pattern of the resultant Schwinger-Indices, that are thence formed by the correlative plucking (like a harp) of second-order light-cone-gauge eigenstates by their directly corresponding gauge-bosons, will then tend to be, at a level that is Poincare to the proximal local field of the overall light-cone-gauge eigenstate, that is here to be directly associated with the said given arbitrary respective discrete quantum of energy.  Consequently -- the higher the Lorentz-Four-Contraction is for a discrete quantum of energy, the lower that the correlative Polyakov Action will then tend to be, -- to where the less spurious that the wave-pattern of the resultant Schwinger-Indices, that are thence formed by the correlative plucking (like a harp) of second-order light-cone-gauge eigenstates by their directly corresponding gauge-bosons, will then tend to be, at a level that is Poincare to the proximal local field of the overall light- cone-gauge eigenstate, that is here to be directly associated with the said given arbitrary respective discrete quantum of energy. Sincerely, Sam.

Some Stuff As To Constraints Of GSO Cohomology

The higher that the constraints of superconformal invariance are, of a GSO cohomology -- as this is here to apply to the respective tense of a given arbitrary Majorana-Weyl-Invariant-Mode of a mass-bearing orbifold eigenset -- the easier that such a said orbifold eigenset will then tend to be able to be transferred, by that respective given arbitrary Legendre homology -- that is here to transport the said mass-bearing set of discrete energy, from one spot to another.  Sincerely, Samuel David Roach.

Some Stuff As To Amplitude Of Metrics

The higher that the amplitude of that given arbitrary metric, that is here to be most directly associated with a depiction of the path integral of a respective given arbitrary Lagrangian-based expression -- the higher that the Hamiltonian-related wave-tug will then tend to be, -- as to that respective given arbitrary motion of the overall energy of a system, that is here to be depicted as I have done -- in this so-eluded-to just mentioned respective case.  Sincerely, Samuel David Roach.

Some Stuff As To Conical Legendre Homology

The more conical that a Legendre homology is to be, in the process of working to transport a mass-bearing orbifold eigenset through space, -- over a duration of time -- the greater will its ability tend to be, in so as to be able to then, to have a hightened scalar amplitude of being capable of transfering the earlier mentioned given arbitrary mass-bearing orbifold eigenset through space and time.  Sam.

Smooth Real Reimmanian Manifold

The hermitian Fourier-based translation of a smooth Real Reimmanian substringular manifold, tends to work to form the involvement of a harmonic resonant vibration over time.

Some Additional Stuff As To Manifolds

A smooth substringular manifold tends to be formed, when a Wess-Zumino-related gauged-action is here to converge upon the proximal locus of an orbifold eigenset, -- whereas -- a substringular manifold that is not smooth tends to be formed, when a Cevita-related gauged-action is here to converge upon the proximal locus of an orbifold eigenset.  To Be Continued!  Sincerely, Samuel David Roach.

Some More Stuff As To Manifolds

A smooth manifold in the substringular -- tends to work to bear embedded cohomology-related eigenstates, that are of a hermitian nature.  Whereas -- a manifold that is not smooth in the substringular, tends to work to bear embedded cohomology-related eigenstates, that are of a Chern-Simons nature.  Samuel David Roach.

Some Stuff As To Manifolds

A Reimmanian manifold tends to work to bear embedded cohomology-related eigenstates, that tend to be of a De Rham nature, -- whereas -- a Complex manifold tends to work to bear embedded cohomology-related eigenstates, that tend to be of a Doboult nature.  Sincerely, Sam Roach.

Neilson-Kolosh Cohomology And Anti Gravity

Neilson-Kolosh cohomology, that tends to work to generate a De-Sitter/Anti-De-Sitter gravitational mode -- tends to be most directly involved with a tense of anti gravity, - whereas -- Neilson-Kolosh cohomology, that tends to work to degenerate a De-Sitter/Anti-De-Sitter gravitational mode -- tends to be most directly involved with a tense of gravity.  Sincerely, Sam Roach.  To Be Continued!

Neilson-Kolosh Cohomology And Gravity

Neilson-Kolosh cohomology, that tends to generate an Anti-De-Sitter/De-Sitter gravitational mode -- tends to work to be most directly involved with a tense of gravity, -- whereas, -- Neilson-Kolosh cohomology, that tends to degenerate an Anti-De-Sitter/De-Sitter gravitational mode -- tends to work to be most directly involved with a tense of anti gravity.  Sincerely, Samuel!

A Furthered Description Of Cohomological States

Cohomological eigenstates are tantamount  to the equivalent of the Hamiltonian of the cohomology of a phenomenon, as taken at a scale that is smaller than actual discrete energy; whereas, -- cohomological eigenindices are tantamount to the equivalent of the Lagrangian of the cohomology of a phenomenon, as taken at a scale that is smaller than actual discrete energy. Sincerely, Sam Roach.

Homotopy And The Rarita Structure

Homotopy is the general substringular condition -- by which discrete energy is inter-bound as a whole, by the existence of the multiplicit network of superstringular fields.  That general entity -- that both the presence and the existence of zero-point energy works to elude to, -- is the phenomenology, of what may be thought of here as being the state of mini-stringular segmentation.  Although discrete energy is the smallest thing that we would normally think of as being energy at all, the smallest thing that may be divvied-out, is on the order of the just mentioned mini-stringular segmentation.  In my model of string theory -- it is both the presence and the activity of what I term of as being mini-stringular segmentation, that works to form those superstringular fields, -- that work to help in the process of the forming of the general substringular condition of homotopy.  The idea behind what the Rarita Structure happens to be -- is the general Ward-Cauchy-related condition, of the vibrational oscillations of the so-stated mini-stringular segmentation.  Thus, it is the general Ward-Cauchy-related condition of homotopy -- that works to both support and bind the general state, of both the presence and the existing conditions, of what may be termed of here, -- as being the attributive state of homotopy.  Sam Roach.