Kinetically Transferred Hermitian Resonant Metric -- Homomorphic Field

 A given arbitrary Hamiltonian Operator, that works to bear a kinetically transferred Hermitian transferred resonant metric, will consequently often tend to respectively work to express, a homomorphic core-field-density, at the Poincare level to its cohomological Fourier-Related-Progression. SAMUEL ROACH.

Furthermore; A given arbitrary Hamiltonian Operator, that works to bear a kinetically transferred sporadic resonant metric, will consequently often tend to respectively work to express, a heteromorphic core-field-density, at the Poincare level to its cohomological Fourier-Related-Progression. SAMUEL ROACH.

Strong Kahler Metric -- Relatively Eminent Proximal Local Homomorphic Field

A strong Kahler-Metric, may often tend to work to facilitate the proximal local presence, of a relatively eminent homomorphic field, at the Poincare level to the respective core-field-density, that is of the directly associated Hamiltonian Operator, of which is here to be expressing such an inferred tense, of the Kahler-Metric. I WILL CONTINUE WITH THE SUSPENSE LATER! SAMUEL DAVID ROACH. 

Entity Of Majorana-Weyl-Invariance

 When an entity of Majorana-Weyl-Invariance is spatially tugged, at a venue that is immediately external from its core-field-density, this general process, often tends to be eminently key, at working to form the reductional physical characteristic of mass. TO BE CONTINUED1 SINCERELY, SAM ROACH.

Isotropic Stability -- Hermitian Externalized Core-Field-Density

 An isotropically stable superstring of discrete energy permittivity, has a higher probability, of working to express a hermitian externalized core-field-density, than an isotropically unstable superstring of discrete energy permittivity does. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH, 

Harmonic Torsion Upon A Chord Of Sub-Energy-Related Mini-String Segments -- Increased Net Fractal Modulus

 When a chord of an integrable set of sub-energy-based mini-string-related segments, is to work to bear a covariant proximal local incurred harmonic metric torsion, as imparted upon the general stratum of the topological manifold of its externalized core-field-density, that this general type of a respective torque, of which is here to be incurred upon such an inferred genus, of a given arbitrary Ward-Cauchy-Related chord, as taken at the Poincare level, to the internal reference-frame of the immediately external region, at which the chord is here to be eminently co-differentiable and co-determinable in its gauged-action, will often have the general tendency, of spontaneously having an enhanced probability, of increasing in its reductional scalar amplitude of net fractal modulus. TO BE CONTINUED! SINCERELY, SAM ROACH.

Anharmonic Delineation Of Mass-Bearing Set Of Discrete Energy Quanta -- Sporadic Delineation Of Correlative Cox Rings

 When a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is to become anharmonic, in the general tense of its correlative vibrational oscillation, the cohomology-related Cox Rings, of which are here to bear a latched-like attribute, at a level that is thence to tend to be Poincare, at the external topological surface of the core-field-density, that is of such an inferred "team" of mass-bearing energy, to where there will consequently tend to spontaneously ensue, the general operational tendency, in which such Cox Rings will often end-up working to bear a resultantly covariant sporadic delineation, when this is in retrospect to their immediately surrounding Ward-Cauchy-Related physical environment. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (PHS 1989).

Compactified Symplectic Superstring Of Discrete Energy Permittivity

 When a given arbitrary Noether-Based symplectic superstring of discrete energy permittivity, is to work to bear a spatial compactification, it will consequently have the general tendency, of spontaneously resulting in working to bear, a relatively greater local density, of a covariant core-field-density. Furthermore; When a given arbitrary Noether-Based symplectic superstring of discrete energy permittivity, is to work to bear a spatial de-compactification (a.k.a. -- the inverse of a spatial compactification), it will consequently have the general tendency, of spontaneously resulting in working to bear, a relatively lower local density, of a covariant core-field-density. UNTIL NEXT TIME! (1989). SAMUEL DAVID ROACH. I WILL CONTINUE WITH THE SUSPENSE LATER! 

Innate Direction Of Cohesive Set Of Mass-Bearing Energy -- Holomorphic Direction

 The innate direction, of which the net gauged-action, of a given arbitrary Noether-Based mass-bearing cohesive set of discrete energy quanta, is inherently to be tugged into, -- when given the intrinsic Ward-Cauchy-Related differential geometry, of both the topological manifold of the core-field-density of such a stated set of discrete energy quanta, and, its immediate surroundings, will often work to strongly influence the inherently eminent holomorphic direction, of which such an inferred "team" of discrete energy, is consequently to be prone into being propagated into, over the course of a directly corresponding duration of discrete time. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SAM.

Spurious Mass-Bearing Cohesive Set Of Discrete Energy Quanta

 A relatively spurious given arbitrary mass-bearing cohesive set of discrete energy quanta, will quite often tend to work to be directly associated, with a Ward-Cauchy-related field, that is here to be immediately external to the core-field density of the said mass-bearing cohesive set of discrete energy quanta, that is here to tend to work to bear a relatively high scalar density, of a correlative set of dispersed Chern-Simons Invariant metric-gauge eigenstates, -- to where such an inferred spurious tense of a net engaged interaction, is here to be taken, over a directly associated given arbitrary proscribed duration of time, during which the inferred "team" of discrete energy, is to be spatially translated through time and space, over the general course, of a directly corresponding respective tense of a Fourier Transformation. I WILL CONTINUE WITH THE SUSPENSE LATER! SAM.

Incoming Mini-String-Related Segmentation -- Elastic Modulus Of Light-Cone-Gauge Eigenstate

 To those who are not familiar with my particular model of string theory, -- I believe there to be, what I term of as being, "mini-stringular (mini-string-related) segmentation," -- that works to help in forming and orchestrating the multiplicity, of the covariant fields, that are here to exist among the countless superstrings, that are here to work to form the existence of discrete energy.

The stronger of a scalar amplitude of the covariant delineation of mini-string-related segmentation, per instanton, that is here to be brought into the proximal local region of the core-field-density of a given arbitrary discrete quantum of energy, is to be, -- the more "limber" that the directly corresponding light-cone-gauge eigenstate, that is here to be the primary physical operator, that is to act as the wave-based nature of the correlative respective discrete energy impedance, that is here to be of such a stated given arbitrary discrete quantum of energy, will thereby consequently tend to be. The more "limber" that a light-cone-gauge eigenstate is to tend to be, the higher that the scalar amplitude of the elastic modulus, that is here to be correlative to such a stated respective light-cone-gauge eigenstate, will consequently tend to be. Therefore; the stronger of a scalar amplitude of the covariant delineation of mini-string-related segmentation, per instanton,  that is here to be brought into the proximal local region of the core-field-density of a given arbitrary discrete quantum of energy, is to be, -- the higher that the scalar amplitude of the elastic modulus, that is here to be correlative to such a stated respective light-cone-gauge eigenstate, will consequently tend to be. To Be Continued! Sincerely,  SAMUEL DAVID ROACH. (1989).

Tightly-Knit Holomorphic Transfer

Let us initially consider two different cohomology-related mappable-tracings -- of which are here to be correlative to those world-sheets, that are to be of the paths of two different respective individually taken kinematic orbifold eigensets, -- that are here to bear a tense of trivial asymmetry, when this is here to be taken as an overall interdependent Yukawa-related relationship, that is of both a covariant, a co-determinable, and of a co-differentiable nature.  Let us next consider, -- that there is here to ensue, the Gliosis-based activity of a group-attractor, that is here to work to form a general spontaneous activity -- that is to result in a general manipulation of the topological manifold of the earlier inferred set of trivial asymmetric world-sheets, by which the the initially mapped-out interdependent Lagrangian-based paths, are then to work to bear a helical-related tensor, that is to be consequently imparted upon the topological surface of the tracings of the said world-sheets, at a level that is Poincare to the surface, that is immediately external to the shell of the core-field-density of the path-based cohomology-related eigenstates, that work to form the world-sheet-related physical memory of those orbifold eigensets, that had just tread upon the herein inferred proximal local Hamiltonian operand.  The more tightly-knit that the holomorphic transfer is to be, of the inferred interdependent covariant-related helicity, that is here to work to inter-bind the so-eluded-to trivial asymmetric path-like entities, the greater that the scalar amplitude will tend to be, of the helical twisting, that is here to be of the Yukawa-related coupling of the two said asymmetric paths. Therefore; the less tightly-knit that the holomorphic transfer is to be, of the inferred interdependent covariant-related helicity, that is here to work to inter-bind the so-eluded-to trivial asymmetric path-like entities, the less great that the scalar amplitude will tend to be, of the helical twisting, that is here to be of the Yukawa-related coupling of these two said asymmetric paths. To Be Continued!  Sincerely, 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.

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.

Some Cool Stuff As To Calabi-Based Interactions

Whenever a photon is to scatter upon another discrete quantum of energy -- the relatively forward-holomorphic end of the initially stated photon, is to react in a Cevita-related manner -- to a Gliosis-related strike, that is to be translated upon the externalized core-field-density of the light-cone-gauge topology (note, not a head-on strike), of that respective discrete quantum of energy -- that it is here to have scattered upon. Yet, when a photon is, instead, to quantize with another discrete quantum of electromagnetic energy -- a relatively Nijenhuis-to-holomorphic end of the said photon, is here to coalesce with a relatively Nijenhuis-to-holomorphic end -- of that discrete quantum of electromagnetic energy that it is to quantize with.  The scattering of phenomenology with electromagnetic energy, is a general genus of an interaction -- that is eventually to tend to happen to any Calabi-related manifold over time.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Solution 7 Of Test 2 Of Course 20

7)  When a photon -- which is a discrete quantum of electromagnetic energy -- scatters upon another discrete quantum of energy, the holomorphic end of the photon that is here to be in the process of just being scattered, -- is made to be Gliosis to the externalized core-field-density of that light-cone-gauge eigenstate that is here of that specific quantum of energy, that the said photon is here to be scattering upon.  This would then work to make the relatively forward-holomorphic end of the incoming photon to be tangent upon the Njenhuis side of that phenomenology that the so-stated photon is here to be coming into a direct contact with, in so as to scatter.  Tangency is a tense of orphoganation.  In this general genus of a case, the just mentioned tangency also bears the general tense of orphoganation -- to where the forward-holomorphic end of the photon of this case, that is here to strike, in so as to be scattered, -- is to be at a generic right angle to the general flow that may here be subtended by making a Laplacian-related tracing -- that is to be extrapolated from the relative reverse-holomorphic end of the just struck discrete bundle of energy towards the relative forward-holomorphic end of the same mentioned just struck discrete bundle of energy.  This shows a tense of normalcy or orphoganation.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.

The Harmonics Of Vibrating Open Loops

When one is here to be considering a Ward-Cauchy-related open-loop phenomenology, that is isotropically stable -- such as a (1+1) string -- such a said superstring of discrete energy is to tend to harmonically vibrate mildly, during any given arbitrary iteration of BRST, in which it is here to then to work to form a tightly-knit homological eigenstate, at the proximal local region that is Poincare to the core-field-density of the topological stratum of the so-stated open-loop phenomenology.  Such a said (1+1) string, though, is to vibrate mildly in an anharmonic manner, during the directly corresponding sequential iterations of the generally unnoticed duration of Ultimon Flow.  Yet -- when one is here to be considering a Ward-Cauchy-related open-loop phenomenology, that is isotropically unstable -- such as a (2+1) string -- such a said superstring of discrete energy is to tend to vibrate mildly in an anharmonic manner during any given arbitrary iteration of BRST, in which it is here to then to work to form a tightly-knit homological eigenstate, at the proximal local region that is Poincare to the core-field-density of the topological stratum of the so-stated open-loop phenomenology.  Such a sad (2+1) string, though, is to vibrate mildly in a harmonic manner, during the directly corresponding sequential iterations of the generally unnoticed duration of Ultimon Flow.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Schwinger-Indices And Core-Field-Density Of Light-Cone-Gauge Eigenstate

At the Poincare level to the topological stratum, of any one given arbitrary second-order light-cone-gauge eigenstate --- right where a given arbitrary gauge-boson is acting, in so as to work to "pluck" the said second-order eigenstate -- there is a third-order Schwinger-Index, that is here to be formed during BRST.  Yet, from anywhere that is outside of the region of the core-field-density -- of that discrete quantum of energy of such a case that is here to be considered, there is only the viable Ward-Cauchy-related condition of there being the existence of both first-ordered Schwinger-Indices and/or second-ordered Schwinger-Indices.  (Depending upon both the manner and the scalar amplitude of the quantization of the correlative Schwinger-Indices.)  The reason to this, is because -- once one is to extrapolate the general Ward-Cauchy-related condition of any viable quantization of those discrete bundles of wave, that are here o ensue, in so as to converge to be able to work to form gravity waves outside of the proximal locus where the initial Schwinger-Indices are to be formed, from their specific locus of origin -- the earlier stated third-order Schwinger-Indices will tend to always be quantized into either a second-order or a first-order Schwinger-Index.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Interconnections Within Orbifold Eigenset

There tends to be a more tightly-knit interconnection of mini-stringular segmentation, from within the core-field-density of any one given arbitrary respective orbifold eigenset, than the interconnection of mini-stringular segmentation that is to exist between two or more distinctly different orbifold eigensets.  Such a general genus of a tightly-knit interconnection of mini-stringular segmentation, is due to the condition, that such a so-eluded-to general genus of interconenctive segmentations --  are here to work as eigenindices of the scalar amplitude of Ward-Cauchy-based substringular fields, -- and any one respective given arbitrary set of discrete energy quanta, that operate in so as to perform one specific given function, is going to tend to bear a more tightly-knit interdependent field amongst the specific eigenstates that work to comprise itself, than that general genus of substringular field networking that would otherwise be established among distinctly different orbifold eigensets.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

E.M. Striking Mass-Bearing Superstrings

When a photon is to strike a mass-bearing discrete quantum of energy -- the said photon is then to tend to strike the externalized core-field-density that is of the light-cone-gauge eigenstate that is of that self-said mass-bearing discrete quantum of energy.  Two immediately adjacent superstrings that are of the same universal setting will tend to be orthogonal to one another, in a Ward-Cauchy-related manner.  So, when a photon is to strike a mass-bearing discrete quantum of energy in a viable manner, that is as well of a Gliosis-related manner -- the collision of the said photon with the mass-bearing quantum, is to be of an orthogonal manner, and in the so-eluded-to Ward-Cauchy-based manner over time.  As the said photon is in the process of colliding with the said discrete quantum of mass-bearing energy, the said externalized core-field-density that is of the light-cone-gauge eigenstate that is being struck here (the light-cone-gauge eigenstate of a discrete quantum of energy is the relatively wave-based phenomenology of the discrete energy impedance of the said given arbitrary discrete quantum of energy), -- this so-eluded-to impartation of force that is thus convened, will work to alter the "plucking" activity of the correlative gauge-bosons upon the correlative second-order light-cone-gauge eigenstates -- that are here of the directly corresponding mass-bearing discrete quantum of energy.  This will then often work to alter the scalar amplitude of the resultant implementation of the correlative formation of Schwinger-Indices that are thence formed by the said discrete quantum of mass-bearing energy over time.  As this is happening, the correlative electron -- of which is comprised of the orbifold eigenset that had here to have just contained that superstringular phenomenology that had just been struck -- will drop back-and-forth an energy level, in so as to work to release its residual discrete kinetic energy in the form of a discrete quantum of electromagnetic energy.  When there are a large number of such collisions of photons upon a proximal localized set of mass-bearing quanta of discrete energy -- over a discrete evenly gauged Hamiltonian eigenmetric, those discrete quanta of electromagnetic energy that will tend to be produced, will usually tend to be primarily those photons that are here to be of an infrared or heat-based nature.  Thus, the application of light upon a mass may often work to both increase the heat of the mass, as well as working to effect the proximal local condition of the Ricci Scalar eigenstates that are here to be locally attributed to such a given arbitrary case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.