Binary Metric-Pulse Acting Upon A Reductional Planar Region Of Space-Time-Fabric

 When a binary metric-pulse is to act, in so as to work to bear a heuristic Yukawa Coupling, upon a reductional planar region of space-time-fabric, this may often tend to resultantly work to facilitate, the consequential formation, of a quaternion-based metric-pulse. TO BE CONTINUED! SAM ROACH. 

Relating To Conically Driven Tense Of Angular Momentum

 A given arbitrary Hamiltonian Operator, that is here to be exhibiting the display of a unitary Lagrangian, will often tend to have a more conically driven tense of angular momentum, than the motion of the otherwise analogous Fourier-Related-Progression, of such a respective inferred general genus of a Hamiltonian Operator, that is, instead, to be exhibiting the display of a binary Lagrangian. Furthermore; A given arbitrary Hamiltonian Operator, that is here to be exhibiting the display of a binary Lagrangian, will often tend to have a more conically driven tense of angular momentum, than the motion of the otherwise analogous Fourier-Related-Progression, of such a respective inferred general genus of a Hamiltonian Operator, that is, instead, to be exhibiting the display of a tertiary Lagrangian. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

As To Metric-Related Pulsation

 A binary metric-related pulsation, often tends to have a deeper dimensional pulsation, than an otherwise analogous unitary metric-related pulsation; A tertiary metric-related pulsation, often tends to have a deeper dimensional pulsation, than an otherwise analogous binary metric-related pulsation, etc. ... Sincerely, Sam. 

Binary Legendre-Related (Co)Homology

 When a Noether-Based binary Legendre-Related (co)homology, is to work to spatially transport an isotropically stable mass-bearing cohesive set of discrete energy quanta, such a said binary Legendre-Related (co)homology, will consequently tend to work to involve a set of two kinematic symmetrically covariant cohesive groupings, each of which are here to be comprised of by a set of one or more cohesively acting open-looped superstrings of discrete kinetic energy permittivity, that are here to be subtended on either side of the stated isotropically stable mass-bearing cohesive set of discrete energy quanta, that are consequently to often tend to work to bear a covariant field, that is here to work to bear the dual nature, of acting as a homomorphic field, that is also acting as a homeomorphic field. THANK'S FOR READING! (1989). I WILL CONTINUE WTIH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM.

Nature Of Lagrangian-Based Paths And Conservation Of Homotopic Residue

 When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a unitary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a unitary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a binary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a binary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a tertiary Lagrangian-based path -- then, each  correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work bear a tertiary directoral; etc... . To Be Continued! Sincerely,  SAMUEL DAVID ROACH. (1989).

Attritional Homotopic Residue

 When a cohesive set of discrete energy  quanta, is here to be displaying a unitary attenuated expanding Lagrangian, -- it will consequently tend to be exhibiting, a tense of a unitary attrition, of its correlative regional proximal local homotopic redidue. When a cohesive set of discrete energy quanta, is here to be displaying a binary attenuated expanding Lagrangian, -- it will consequently tend to be exhibiting, a tense of a binary attrition, of its correlative regional proximal local homotopic residue. Furthermore; when a cohesive set of discrete energy quanta, is here to be displaying a tertiary attenuated expanding Lagrangian, - it will consequently tend to be exhibiting, a tense of a tertiary attrition, of its correlative regional proximal local homotopic residue., etc... . To Be Continued! Sincerely, SAMUEL DAVD ROACH. (FROM PINCKNEY MICHIGAN, HIGH SCHOOL CLASS OF 1989.).

Compounded Homotopic Residue

 In general — a binary homeomorphic escalating Lagrangian, that is here to be undergoing a Euclidean/Clifford Expansion, tends to work to exhibit a greater scalar attribute, of a proximal local tense of compounded homotopic residue, than a unitary homeomorphic escalating respective Lagrangian, that is here to be undergoing a respective Euclidean/Clifford Lagrangian does; a tertiary homeomorphic escalating Lagrangian, that is here to be undergoing a Euclidean/Clifford Expansion, tends to work to exhibit a greater scalar attribute, of a proximal local tense of compounded homotopic residue, than a binary homeomorpjhic escalating respective Lagrangian, that is here to be exhibiting a Euclidean/Clifford Expansion does; etc... . I will continue with the suspense later! Sincerely, SAMUEL DAVID ROACH.

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

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

Resultant Binary Lagrangian-Based Paths

If one were to initially have two different distinct orbifold eigensets, that are here to be traveling in a way in so as to be working to express two different respective unitary Lagrangian-Based paths, in such a manner, to where these two so-stated orbifold eigensets are here to spontaneously become Yukawa to one another in a symmetric way, that is both covariant, codeterminable, and codifferentiable at the Poincare level that is relative to the proximal local region in which these said eigensets are here to be transferred -- via the explication of their respective Fourier Transform, then, this may often work to help in causing these two different orbifold eigensets, that had initially been working to form their motion through space as two different distinct substringlar entities, that were here to start in so as to be forming a unitary Lagrangian-Based path, to then instead, to be working to form their motion through space, as a pair of distinct substringular entities, that are here to then form a dual tense of a binary Lagrangian-Based path, -- over the course of a relatively transient evenly-gauge Hamiltonian eignemetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Next As To Binary And Tertiary Lagrangian-Based Paths

If a given arbitrary tense of a cohomological stratum, that is here to be formed by the respective action of the Fourier Transformation, that is of a correlative given arbitrary bosonic orbifold eigenset, is to here to be of either a binary Lagrangian-based path or of a tertiary Lagrangian-based path -- then, such a tense of a cohomological stratum, is a bit more likely to work to then be of a Duboult (Dubeault) nature of cohomology -- than such a symplectic residue of motion would otherwise be, if that respective activity of the Fourier Transformation of the said correlative given arbitrary bosonic orbifold eigenset were to, instead, to be of a unitary Lagrangian-based path.  Consequently -- if a given arbitrary tense of a cohomological stratum, that is here to be formed by the respective action of the Fourier Transformation of a correlative given arbitrary bosonic orbifold eigenset, is to here to be of a unitary Lagrangian-based path -- then,  such a tense of a cohomological stratum is a bit more likely to work to be of a De Rham nature of cohomology -- than such a symplectic residue of motion would otherwise be, if that respective activity of the Fourier Transformation of the said correlative given arbitrary bosonic orbifold eigenset were to, instead, to be of either of a binary or of a tertiary Lagrangian-based path.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Binary And Tertiary Lagrangian-Based Paths

If an orbifold eigenset that is here of a Noether-based flow, is to bear a tense of motion that is go through the course of its translation from one spot to another in the substringular -- in such a manner, to where its transference through the fabric of space and time, may be described of by an interaction that is between two different distinct directorial-related equations, over the course of the same evenly-gauged Hamiltonian eigenmetric, to where such a motion-related path is NOT of any tree-amplitude-based nature, -- then, one may say here that the path of the said orbifold eigenset -- as it is here to be translated from one spot to another in such a manner -- may then tend to be described of as to here be moving through a binary Lagrangian-based path.  Furthermore -- if an orbifold eigenset that is of a Noether-based flow, is to bear a tense of motion that is to go through the course of its translation from one spot to another in the substringular -- in such a manner, to where its transference through the fabric of space and time may be described of by an interaction that is between three different distinct directorial-related equations, over the course of the same evenly-gauged Hamiltonian eigenmetric, to where such a motion-related path is NOT of any tree-amplitude-based nature, --  then, one may say here that the path of the said orbifold eigenset -- as it is here to be translated from one spot to another in such a manner -- may then tend to be described of as to here be moving through a tertiary Lagrangian-based path.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.