Sunday, February 28, 2021

Initial Tense Of Light-Cone-Gauge Eigenstates

 The flow of time began, when the initial tense of the multiplicity, of the general phenomenology of light-cone-gauge eigenstates, were brought into existence (created). Sincerely, SAMUEL DAVID ROACH. 

Saturday, February 27, 2021

Analogous Light-Cone-Gauge Eigenstates

 All of the first-order light-cone-gauge eigenstates, that are here to work to comprise a specific given arbitrary cohesive set of discrete energy quanta, will tend to work to perform an analogous exhibition of a delineation-related display, that is of its covariant morphological contour -- as this is here to be taken, over a respective Laplacian setting, -- during the course of a respective iteration of group-related instanton. SAM.

Friday, February 26, 2021

Light-Cone-Gauge “Fuses Together” The General Realities Of Space And Time

 It is the multiplicity of the phenomenology of the general Activity of the Light-Cone-Gauge, that works to “fuse together” space and time, -- into the general entity of “space-time” fabric. Samuel Roach. 

Direction Of Time And Light-Cone-Gauge Holomorphicity

 Forward-Moving time-related phenomenology, tends to work to involve the multiplicity of light-cone-gauge eigenstates, that are here to tend to work to bear the directional drive, of a relativistic forward-holomorphic wave-tug. Whereas; backward-moving time-related phenomenology, tends to work to involve the multiplicity of light-cone-gauge eigenstates, that are here to tend to work to bear the directional drive, of a  relativistic reverse-holomorphic wave-tug. Sincerely, SAMUEL DAVID ROACH.

Thursday, February 25, 2021

My Perception, As To Discrete Cohomology-Related Degeneration

 The following is my Perception, as to what discrete cohomology-related degeneration is:

The smallest increment of discrete cohomology-related degeneration, is on the order of being — 

~ 1.05315*10^(-49) Ohm Coulombs. Please let me know if this is on the mark or not! Sincerely, SAM.

Beti Action Jacobian Stabilization

 When what I term of as being, the “ ‘sub-force’ mini-string-related (de)compactification,” — that is here to be of the directly applicable multiplicity of the Ward-Cauchy-related conditions, of a correlative given arbitrary respective superstring of discrete energy permittivity, to simply be: i*(i*PI(Del) Action)*(Zero-Point-Energy), when taken over the course of a respective iteration of group-related instanton; it consequently follows, that the directly corresponding superstring of discrete energy permittivity, that is thus effected, will tend to not work to bear neither any dimensional compactification, nor any dimensional de-compactification, as the number of spatial dimensions, that such an inferred superstring is here to work to exhibit, will consequently tend to not be in the process of changing, over such a proscribed brief duration of discrete time, —  to where there will consequently tend to be a greater probability, for such a said discrete quantum of energy, to thereby work to bear a more stable tense of a metric-related nature. I call such a Noether-related situation, in which there is here to be no proximal local gauge-metric-related activity of dimensional (de)compactification, due to the physical condition of a minimized absolute value of such a “sub-force,” (as taken at the Poincare level, that is here to be appertaining to the nature of such a fractal of discrete energy) that is here to be related to the nature of such mini-string-related gauged-action, — over the general course of (de)compactifaction, to thereby consequently bear such a general condition of a non-perturbative tense, to where I will thereby name such a super-string-related situation, to be: the Beti-Action-Jacobian-Stabilization (BJS). Sincerely, SAM ROACH.

Same Display Of Behavioral Exhibition Of Time

 Noether-based interactive inter-connective light-cone-gauge eigenstates, that are here to work to be displaying the same covariant behavioral exhibition — when in consideration of their respective delineation-related distribution of positioning — tend to be directly associated with discrete energy quanta, that are here to work to experience the same relativistic tense of the flow of time, — when given the general course of the respective flow, that is of the individually taken sequential series of covariant altered general positioning, that each of such discrete energy quanta is to undergo, as it is to be propagated through space over time, over the duration of a sequential series of group-related instantons, — as this is here to be taken, via an evenly-gauged Hamiltonian eigenmetric. TO BE CONTINUED! SAM ROACH.

Wednesday, February 24, 2021

A Perception About The Light-Cone-Gauge

 Here is a current perception that I have, about the light-cone-gauge:

The multiplicity of the interactive interconnections, that are here to exist, both between and amongst the multifarious light-cone-gauge eigenstates -- that are here to exist in time and space -- work to help, in controlling the respective multiplicity of the covariant flow of time. To Be Continued! Sincerely, SAMUEL ROACH.

Non Abelian Light-Cone-Gauge Eigenstates — Elastic Modulae

 Non Abelian light-cone-gauge eigenstates tend to have a higher elastic modulus, than abelian light-cone- gauge eigenstates do. Therefore; since non abelian light-cone-gauge eigenstates, are known of as acting as the nature of being “Yang-Mills,” and, abelian light-cone-gauge eigenstates, are known of as acting as the nature of being “Kaluza-Klein”; Yang-Mills light-cone-gauge eigenstates tend to have a higher elastic modulus, than Kaluza-Klein light-cone-gauge eigenstates do. Sincerely, SAMUEL DAVID ROACH. (1989).

Tuesday, February 23, 2021

Tense Of Initial Magnetic Repulsion

 When one is to have the proximal local presence, of a set of cohomology-related eigenstates, that are here to work to each bear a tense of an initial magnetic repulsion, towards their immediately adjacent eigenstates, to where there is here to ensue, the gauged-action of a Gliosis-based Rayleigh scattering, that is here to occur, upon the overall net topological substrate, that is of such a stated set of cohomology-related eigenstates, there will consequently tend to occur, the general tendency, in which the earlier inferred eigenstates, that were initially to work to bear a tense of a magnetic repulsion, will alter into then working to bear a tense of magnetic attraction. (Cohomology-Related eigenstates, that are to work to bear the opposite parity, -- will tend to reverse-fractal into charges, that are here to work to bear the opposite chirality.)  To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Pressurized Vacuum —- Everything Physical

 Since the general phenomenology of mini-stringular segmentation, is formed by a disturbance of space in a pressurized vacuum — and all divvied-out entity-related physical phenomenology, is comprised of by inter-connective combinations of such said mini-stringular segmentation; thereby, in a way, all physical phenomenology, is made-up of different tenses, of what I term of as being “pressurized vacuum.” SAM.

Monday, February 22, 2021

Perturbative Light-Cone-Gauge -- i*PI(Del) Action

 The more highly perturbative, that those individually taken given arbitrary light-cone-gauge eigenstates, -- that are here to work to help in comprising, its directly corresponding respective cohesive set of discrete energy quanta, -- the greater that the scalar amplitude of the correlative i*PI(Del) Action, will consequently tend to be, for those directly associated individually taken superstrings and counter strings, of discrete energy permittivity, that are here to work to help, in comprising its earlier inferred correlative  "team" of discrete energy quanta. SAMUEL DAVID ROACH.  I WILL CONTINUE WITH THE SUSPENSE LATER! (1989).

Friday, February 19, 2021

Gauge-Invariance -- Super-Conformally Invariant Light-Cone-Gauge Eigenstate

 The Gauge-Invariance for a cohesive set of discrete energy quanta, is when the display of the individually taken eigenstates, that are here to work to form the respective increments, of the discrete energy impedance of such a stated cohesive set of discrete energy, are to be exhibited in the same manner, in relation to the motion of electromagnetic energy, over a directly corresponding respective proscribed set of sequential iterations of group-related instantons, -- to where the light-cone-gauge eigenstates of such a mentioned cohesive set of discrete energy quanta,  may consequently be described of, as being "super-conformally invariant." To Be Continued! Sincerely, SAM.

Light-Cone-Gauge Eigenstates -- Co-Tangential/ Tangential Flow

 The greater that the scalar amplitude of the net co-tangential flow is to be, that is here to be of the nature of incoming mini-string-related segmentation, that is respectively directed Towards the topological manifold of a given arbitrary light-cone-gauge eigenstate, -- the higher that the scalar amplitude of the directly associated Polyakov Action, of such an inferred discrete quantum of energy, will consequently tend to be. (This will consequently tend to result in corresponding to a lowered Lorentz-Four-Contraction). Furthermore; the greater that the scalar amplitude of the net tangential flow is to be, that is here to be of the nature of outgoing mini-string-related segmentation, that is respectively directed Away from the topological manifold of a given arbitrary light-cone-gauge eigenstate, -- the lower that the scalar amplitude of the directly associated Polyakov Action, of such an inferred discrete quantum of energy, will consequently tend to be. (This will consequently tend to result in corresponding to a heightened Lorentz-Four-Contraction). I will continue with the suspense later! Sincerely, SAMUEL DAVID ROACH. 

Wednesday, February 17, 2021

Eminent Interaction -- E(8)XE(8) Superstring-Related Oscillation-Based-Mode

The multiplicity of the eminent interaction, that is here to exist between the gauged-activity of the general kinematic entity of the force of the E(8)XE(8) superstring-related oscillation-based mode, And, the general kinematic entity of the thought force, works to help at fortifying the multiplicity, of the general Ward-Cauchy-related physical condition of homotopy. It is such an eminent interaction, that is part of what is to act, as a key means, as to the method, of what works to allow for the general superstring-related condition of Casimir Invariance. To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989). Thank You For Reading!

More As To Gauge-Invariance -- Fadeev-Popov-Trace Eigenstates

For Noether-Based Discrete Quanta Of Energy:

Even though the general inclination is to be; that whenever a given arbitrary discrete quantum of energy, is here to be in the general process of working to exhibit the general physical attribute, of being of a gauge-invariant nature, it follows, that the specific correlatively associated Fadeev-Popov-Trace eigenstate, that is here to be working to bear a direct tense of a  holomorphic wave-tug, as being Gliosis upon the said discrete quantum of energy of such a given arbitrary respective case, will thereby always tend to work to bear a homeomorphic tense of a Fourier-related Transform; -- it still stands to reason, that just because a Fadeev-Popov-Trace eigenstate, that is here to be working to bear a direct holomorphic Gliosis-related wave-tug, upon a given arbitrary discrete quantum of energy, that is here to be working to bear a homeomorphic tense of a Fourier-related Transform, this does Not necessarily mean, though, that the said given arbitrary discrete energy quantum of such a respective case, is here to tend to be exhibiting the kinematic display, of a gauge-invariant nature. To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Tuesday, February 16, 2021

Ebbing Flow Of Alterations -- Behavior Of Light-Cone-Gauge Eigenstates

 When the ebbing flow of the alterations in the kinematic behavior, that is here to be of those individually taken given arbitrary light-cone-gauge eigenstates, in which this stated "ebbing flow," is here to work to reiterate in a sequentially repetitive tense, of a Lagrangian/metric-related manner -- to where the cohesive set of such a general tense of these just stated eigenstates, is here to work to comprise the wave-based nature of the discrete energy impedance, that is here to be of a respective given arbitrary cohesive set of discrete energy quanta, -- this just inferred recursive pattern, that is here to be appertaining to the behavior of a respective set of cohesive light-cone-gauge eigenstates, will consequently often tend to result, in helping to cause the herein stated cohesive set of discrete energy quanta, of which such mentioned light-cone-gauge eigenstates are here to work to comprise, to work to bear a recursively smooth Ricci Flow. SAM.

Fadeev-Popov-Trace Eigenstates And Gauge-Invaraince

 When a Fadeev-Popov-Trace eigenstate is to work to maintain its same manner of behavior, when in relation to the motion of electromagnetic energy, over a directly corresponding sequential series of group-related instantons, then, the directly corresponding light-cone-gauge eigenstate, that such a said Fadeev-Popov-Trace eigenstate is here to be holomorphically acting upon, over the earlier mentioned respective sequential series of group-related instantons, will consequently tend to have a relatively heigtened probability, of also working to maintain its same manner of behavior, when in its relation to the motion of electromagnetic energy. When a light-cone-gauge eigenstates is to maintain its same manner of behavior, over a correlative sequential series of group-related instantons, it may consequently be said, that the directly corresponding discrete quantum of energy, that is here to be most associated with the kinematic exhibition of such a said light-cone-gauge eigenstate, is here to be "gauge-invariant." Therefore; when a Fadeev-Popov-Trace eigenstate is to work to maintain its name manner of behavior, when in relation to the motion of electromagnetic energy, one may then say, that the directly corresponding discrete quantum of energy, that is here to be most directly associated with the said Fadeev-Popov-Trace eigenstate of such a respective given arbitrary case, is here to tend to be "gauge-invariant." Sincerely, SAMUEL ROACH.

Monday, February 15, 2021

De Rham Cohomology Altered Into Dolbeault Cohomology -- Lack Of Signal

 Let us consider an initial case, in which a signal is to be conveyed -- via a set of eigenstates, that are here to be spatially transferred over time, by way of a given arbitrary tense, of a respective De Rham cohomology. Let us next say; that there is to ensue, the Ward-Cauchy-related physical condition, in which the initially stated De Rham cohomology, is here to convert into working to display the exhibition of a Dolbeault cohomology. At the moment in time, in which the signal that is here to be in the process of being conveyed, is then to convert from the initial nature, of acting as a set of eigenstates, that work to display the general exhibition of mapping-out a respective De Rham cohomology, Into then acting as a set of eigenstates, that work to display the general exhibition of mapping-out a respective Dolbeault cohomogy, this will thereby work to consequently tend to result, in a  superstring-related situation, which will therefore tend to work to involve, at this said inferred point in time, a loss of a communicable signal. To Be Continued! Sincerely, SAM ROACH.

Sunday, February 14, 2021

Ward-Cauchy-Related Tangential Expansion

 Let us initially consider the Ward-Cauchy-Related Expansion, of the tangential divergence, that is here to be directly appertaining to a given arbitrary general case, in which there is here to be the mappable-tracing of the Lagrangian-related divergence, that is here to be correlative to the asymptotic behavior of a cohesive set of discrete energy quanta, that is here to be departing in a Clifford-related manner, away from a proscribed initial locus of origin. Let’s next stipulate, that the directly corresponding escalation of such a respective given arbitrary Ward-Cauchy-Related Expansion, is here to reflect the general innately considered attributes, of this mappable-motion, to be acting as a Slater-based relation. The greater that the tangential bundle is to be, as to the spatial dimensionality of the directly corresponding Hamiltonian Operand, via which the earlier mentioned set of discrete energy quanta, is here to be traveling through, — the more poignant that the correlative asymptotic approach will consequently tend to be, as to the general manner of the directly corresponding inferred hyperbolic departure, that is here to be tugged Away from the initial local region of origin. To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

The Vibrational Oscillations Of Fadeev-Popov-Trace Eigenstates

 The following post, is for those people that may not be so familiar with my string theory model:

The multiplicity of the vibrational oscillations of Fadeev-Popov-Trace eigenstates, via the intercession of their directly corresponding light-cone-gauge eigenstates, works to help in forming a relatively strong influence, -- upon the general physical characteristics of the vibrational oscillations, of their directly corresponding superstrings/counter strings of discrete energy permittivity. SAMUEL DAVID ROACH.

Saturday, February 13, 2021

Projected Trajectory Of Cohomology-Related Eigenstates

 The projected trajectory of a cohesive set of cohomology-related eigenstates, that are here to act, via the piecewise continuous flow of their integrable co-differentiable and co-determinable directly corresponding cohomology-related eigen-indices, works to form, what is here to tend to be, a non perturbative cohomology-related path of mappable-tracing. To Be Continued! Sincerely, SAMUEL DAVID ROACH.

Hermitian-Related Expansion, That Is Of A Slater-Based Nature

 When a hermitian-related expansion, that is here to be of a Slater-based nature, -- is to spontaneously alter into working to bear a Dolbeault cohomology, then, immediately beyond the Ward-Neumman bounds, at which there is here to be the mappable inferred Chern-Simons Lagrangian-based singularity -- of which is here to work to signify the origin of the previously inferred change in cohomology-related projection, to where one is here to be considering the forward cohomology-related progression, to be in the general direction of the inferred asymptotic motion of its relative wave-tug -- this will consequently tend to work to cause the earlier inferred cohomology-related mappable-tracing, that is here to begin as a newly formed tense of a Dolbeault cohomological path,  as this is to be mapped-out at the proximal local traceable region that is immediately beyond the stated Chern-Simons Lagrangian-based singularity, to have the general inclination of bending away from its initial asymptotic path, in a manner that is here to tend to become initiated, right at the onset of such an inferred perturbation in cohomology-related tendency, in a spurious manner. I WILL CONTINUE LATER! To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Hermitian Expansion From Origin -- Slater-Related Escalation

 If an eigenstate that is to be moving away from its origin, is to work to bear a hermitian expansion in two spatial dimensions, over a given arbitrary discrete duration of time, -- then, the tangential flow of the motion of such a said departing eigenstate, will consequently often tend to work to bear an asymptotic Slater-related escalation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

"Tying Together" The Inter-Relation Between Cohomology And Charge

 It is my perception, that the general concept as to what works to comprise the physical condition of the presence of a "charge," that is here to be correlative to a kinematically magnetic cohesive set of discrete energy quanta, that is here to be maintaining a constant speed, over the course of working to map-out a relatively De Rham cohomology, may be viewed of here, in the following general type of a manner:

The net effect of the integration of superstring-related phenomenology, whose individually taken externalized effect, that is appertaining to those general alterations, that are here to be correlative to the cohomology-related angular/directorial attribute of the i*PI(Del) Action, when this is taken over the course of the general process, in which that general genus of such an inferred phenomenology, that is here to act, sort of like "kinks" in the general fabric of the topological contour, of the inferred superstrings and counter strings of discrete energy permittivity, of which are here to work to comprise the net substrate of the earlier said cohesive set of discrete energy quanta, are here to bear a field-like residue, that is to be tangentially translated through spatial propagation, in such a manner, to where such said "kinks,"may be termed of as being the directly corresponding partition-based discrepancies, that are here to be consistently re-delineated in a piecewise continuous manner, to where this is thence to occur, over a discrete sequential series of group-related instantons, as this is here to be considered, over an evenly-gauged Hamiltonian eigenmetric, is an idea, as to my current perception, as to what helps to link the general idea of what cohomology is,  to the general idea of what charge is. It follows; that the externalized effect of the interaction of cohomology-related eigenstates with the i*PI(Del) Action, helps to influence the formation of the general phenomenology of “charge.” Sincerely, SAM ROACH.

Cohomology-Related Eigen-Indices And Cohomology-Related Eigenstates

If one were to consider the spatial translation of the Fourier-Related Transform, (as this is often here to be considering durations, that are here to be smaller than a discrete increment of time), of cohomology-related eigen-indices -- as these are here to be delineated in their respective covariant spatial distributions, from one spot in time and space, to a succeeding spot in time and space, -- then, one may metaphorically consider the general physical Ward-Cauchy-related characteristic, of what I term of as being "cohomology-related eigen-indices," in a way, as being a fractal of a Lagrangian-Based attribute. Furthermore; if one were to consider the holonomic substrate of those generally considered physical genre of norm-state projections, that latch upon the proximal local region of the core-field-density, of the topological surface of a superstring of discrete energy permittivity, in a manner that is of an indistinguishably different manner, (to where, this is here to involve latched eigenstates of physical norm-state-projection, that are here to be of a different specific entity, that is here to behave as if it were basically the exact same specific cohomology-related entity), to where, such a general type of a tense of such physical entities of such eluded-to types of norm-state-projection-related phenomenology, that are here to latch upon the proximal local core-field-density of the Poincare-related region, of a given arbitrary Laplacian-Related locus of the delineation-related loci, of the kinematic display of the interaction of a superstring upon its immediately external Ward-Cauchy-related environment, works to indicate the physical presence of the general physical genus of entity-related phenomenology, that is here to be the phenomenology of cohomology-related eigenstates, of which are here to act as being a Fractal, of what may metaphorically be considered, as being the proximal local presence of a Hamiltonian Operator. To Be Continued! SAM ROACH.

Friday, February 12, 2021

In General -- The "Gauging" Of The Light-Cone-Gauge

 Light-Cone-Gauge Eigenstates work to gauge the modification of certain attribute-related characteristics, that are here to be appertaining to certain aspects, of the the construction of the topological contour of superstrings of discrete energy permittivity, as in conjunction with their directly corresponding inferred counter strings, -- as such strings and counter strings of discrete energy permittivity, are here to be altering in their motion-related behavior, when in relation to the motion and presence of electromagnetic energy. SAM.

Thursday, February 11, 2021

Net Vibrational Disturbance Of A Gravitational Field

 If that net vibrational disturbance, that is here to be of or appertaining to a given arbitrary gravitational field, is here to be zero in net respective wavelength, -- then, the said respective given arbitrary gravitational field of such a case, is here to have a  homogeneous Ricci Flow. When the Ricci Flow is here to be of a homogeneous nature, then, one may consequently say, that such an inferred directly corresponding proximal local gravitational field, that is here to be correlative to such a given case, is then to result in working to bear a flat Ricci Curvature. (A gravitational field that is here to work to bear a flat Ricci Curvature, will tend to bear a lack of a kinematic tense of gravitational perturbation.) When a given arbitrary mass-bearing cohesive set of discrete energy quanta, is here to work to be displaying the general physical attribute, of exhibiting a flat Ricci Curvature, then, one may consequently say that such a stated mass-bearing cohesive set of discrete energy quanta, is here to work to bear the general tense, of portraying a heuristic Calabi-Yau Manifold.  SINCERELY, SAMUEL.

Harmonic Tense Of Pressurized Vacuum Applied -- Light-Cone-Gauge Eigenstate

The more harmonic of a tense of pressurized vacuum that is to be applied upon a light-cone-gauge eigenstate --  the higher that the resultant probability will consequently tend to be, that the said light-cone-gauge eigenstate of such a respective given arbitrary case, will thereby often tend to work to produce (via the interaction with its directly corresponding gauge-boson eigenstates) a harmonic tense of that general genus of Schwinger-Indices, that are here to tend to propagate relatively outward, From the proximal local region at which these are to here to be initiated at (at the general locus at which the correlative gauge-boson eigenstates are to "pluck" the said light-cone-gauge eigenstates), Towards upon the general arena of the Rarita Structure. SAMUEL DAVID ROACH.

Recursively Smooth Ricci Flow -- Anti Gravity

A Recursively smooth Ricci Flow, that is here to be due to the application of anti gravity, upon the topological manifold of a spinning interconnected conglomeration of mass-bearing cohesive sets of discrete energy quanta, tends to work to decrease the inhibition of the spatial transference of such an inferred general genus of a topological manifold, in so as to be able to tend to free-up the potentially ensuing transversal motion, of such a said spinning interconnected conglomeration of mass-bearing cohesive sets of discrete energy quanta. I will continue with the suspense later! To Be Continued! Sincerely, SAMUEL.

Wednesday, February 10, 2021

Flat Ricci Curvature -- Tense Of Pressurized Vacuum

 With Noether-related phenomenology, -- a flat Ricci Curvature Tends to strike a balance, between the flow of co-tangentially directed Ward-Cauchy-related pressurized vacuum, And, the correlative flow of tangentially directed Ward-Cauchy-related pressurized vacuum. Sincerely, SAMUEL DAVID ROACH.

Co-Tangential Versus Tangential Pressurized Vacuum

 Co-Tangential directed pressurized vacuum, tends to be inclined to tug inward, upon the topological field-density of those discrete eigenstates, that are here to be related to a Ward-Cauchy-related tense, of physical phenomenology; whereas, -- Tangential directed pressurized vacuum, tends to be inclined to tug outward, as a force-like entity that is here to be projected externally, in so as to be drawn away from the general proximal locus of the topological field-density of those discrete eigenstates, that are here to be related to a Ward-Cauchy-related tense of physical phenomenology. SAM ROACH. (PINCKNEY, MICHIGAN).

Viscosity Of Pressurized Vacuum -- Torsional Sway Of Light-Cone-Gauge Eigenstate

The stronger that the viscosity of the pressurized vacuum is to be, when this is here to taken into consideration, as to consequently be appertaining to the Ward-Cauchy-related nature, of the covariant proximal local presence, of the directly associated Hamiltonian Operand, via which a directly corresponding correlative quantum increment of discrete energy, is thereby to be in the process of traveling through this, over a correlative discrete quantum of relativistic time, -- to where; its then more likely, that the respective corroborative net light-cone-gauge eigenstate, that is here to be proximal local to the core-field-density of the wave-based nature of the impedance, that is of such a herein stated quantum increment of discrete energy, will thereby tend to behave in such a manner, in so as to consequently result in working to bear a greater tendency of displaying/exhibiting a "torsional-sway," in those vibrational oscillations, that are here to be primarily formed, by the eminent interaction of gauge-boson eigenstates, with those component second-order light-cone-gauge eigenstates, of which are here to work to comprise the related inferred respective first-order light-cone-gauge eigenstate, that is here to basically act, as the wave-based stratum, that is here to work to comprise the correlative quantum of discrete energy impedance, that is here to be of such a net tense, of a quantum topological manifold of discrete energy impedance. I will continue with the suspense later! To Be Continued! Sincerely, Samuel Roach. (1989).

Tuesday, February 9, 2021

Majorana-Weyl-Invariant-Mode Phenomenology -- Nodes

Majorana-Weyl-Invariant-Mode phenomenology, tend to act as nodal Ward-Cauchy-related covariant eigenstates, as taken along the centralized  knotting of the Rarita Structure. To Be Continued! Sincerely, SAMUEL.

Isotropic Stability And Magnetism

 Molecular lattices that are here to be comprised of, by many cohesive sets of isotropically stable mass-bearing discrete energy quanta -- tend to bear a greater scalar amplitude of magnetism, than other types of molecular lattices, that are not to be comprised of as such. To Be Continued! Sincerely, SAM ROACH.

Homogeneous Ricci Flow -- Yau-Exact Nature

 The more homogeneous that the Ricci Flow is to be, for the physical environment of a given arbitrary cohesive set of discrete energy quanta, -- the more facilitated that such a said set of discrete energy quanta, will consequently tend to be, at potentially working to exhibit a Yau-Exact nature. To Be Continued! SAM ROACH.

Cohomology Versus Homology -- What The Main Reductional Difference Is

 What I have learned to be the main reductional difference, between a Cohomology and a Homology, -- is that, in working to determine what a specific Cohomology is to be, -- one is here to be mathematically converting a Minkowski Space into a Hilbert Space; whereas, -- in working to determine what a specific Homology is to be, -- one is here to be mathematically converting a Hilbert Space into a Minkowski Space. I will continue with the suspense later! To Be Continued! Sincerely, SAMUEL DAVID ROACH.

What A Floer (Co)Homology Is

What a Floer (co)homology happens to be, is an open-loop/open strand superstring-related (co)homology -- that is here to be Capable, of working to bear an isotropically stable nature. (A Floer (co)homology may often be capable, of either generating more, less, or the same amount of homology-related eigenstates, As it is here to be degenerating. Such an earlier eluded-to isotropically stable nature, is one in which the inferred (co)homology, is here to be generating the same amount of homology-related eigenstates as it is here to be degenerating -- per a respective piecewise continuous evenly-gauged Hamiltonian eigenmetric.) To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Monday, February 8, 2021

What I Believe The Equation Is To Be, For Determining The "Sub-Force" Of Metric-Compactification

 What I believe the equation is, for determining what the discrete increment is to be, for the "sub-force" of metric-compactification, when given what the correlative Betti Number is to be:

(i*e^((The Betti Number)/(2*PI)))/(1/(e^(The Betti Number)))*(i*PI(del) Action)*(Zero-Point-Energy).

So; if the Betti Number is 0, such a said sub-force is simply:

i*(i*PI(del) Action)*(Zero-Point-Energy) -- Since e^0 is 1.

If the Betti Number is 1, such a said sub-force is: ~ 3.187*i*(i*PI(del) Action)*(Zero-Point-Energy). 

If the Betti Number is (-1), such a said sub-force is: ~ -3.187*i*(i*PI(del) Action)*(Zero-Point-Energy).

However; If the Betti Number is 16, --

such a said sub-force is ~ 1.13404425*10^8*i*(i*PI(del) Action)*(Zero-Point-Energy).

And, If the Betti Number is (-16), -- 

such a said sub-force is ~ -1.13404425*10^8i*(i*PI(del) Action)*(Zero-Point-Energy).

As Inferred: It takes an integration of basically countless of such discrete increments of an eluded-to "sub-force," to be able to get a superstring to compactify/decompactify:

Let me know whether or not that this equation makes an adequate amount of logical sense, or, if you think that such an equation is here to need some modification. Sincerely, Samuel David Roach.

"Sub-Force" Of Metric-Related Compactification -- A Contemplation

 The following, is an idea that has been going on in my mind for quite some time, -- And, I thought that I might share it:

Perhaps there is a sub-force, in which there is here to be, a certain tense of a "coupling," between a relationship involving the Betti Number, the i*PI(del) Action, And Zero-Point-Energy, -- to where, this just mentioned "sub-force," is here to act, as a sub-mini-string-related "wave-tug," that is here to "domino-out," in so as to be able to act, as a discrete increment of an internally flowing, very minute tense, of a tense of pressurized vacuum eigenstates, that are here to integrate in so as to be able to function, in such a manner, to where, the more of a compactification of spatial dimensions that is here to be undergone per instanton, the stronger that such a minute Positive tense of a "wave-tug" is to be per increment of zero-point-energy, and it follows, that the more of a  decompactification of spatial dimensions that is here to be undergone per instanton, the stronger that such a minute Negative tense of a "wave-tug" is to be. I am figuring, that such a sub-force, is strictly of a Nijenhuis-related nature. 

More later, as I will check-out the math that I have recently conducted, soon! To Be Continued! Sincerely, Sam Roach.


Sunday, February 7, 2021

Group Action, And Tense Of Cohomology

 When a (mass-bearing) cohesive set of discrete energy quanta, is to bear the general condition of being of an isotropically stable nature, then, such a said set of energy quanta, is consequently to work to  bear the general tendency, of working to exhibit a tense, of what is known of as being a "group action." An isotropically stable (mass-bearing) cohesive set of discrete energy quanta, is more likely to tend to work to exhibit a De Rham cohomology than a Dolbeault cohomology; whereas, -- an isotropically unstable (mass-bearing) cohesive set of discrete energy quanta, is more likely to tend to work to exhibit a Dolbeault cohomology than a De Rham cohomology. Therefore -- "teams" of discrete energy, that work to bear a relatively strong tense, of exhibiting the general physical condition of displaying a "group action," tend to have more of an inclination, of tending to work to form a De Rham cohomology than a Dolbeault cohomology; Whereas, -- "teams" of discrete energy, that work to bear a relatively weak tense, of exhibiting the general physical condition of displaying a "group action," tend to have more of an inclination, of tending to work to form a Dolbeault cohomology than a De Rham cohomology. I will continue with the suspense later! Sincerely, SAMUEL DAVD ROACH.

Tightly-Knit Majorana-Weyl-Invariant-Mode -- Recursively Smooth Ricci Flow

 The more tightly-knit that the Majorana-Weyl-Invariant-Mode is to be, for those individually taken mass-bearing discrete energy quanta -- that are here to work to be comprising, a spinning Noether-based isotropically stable mass-bearing cohesive set of discrete energy quanta, -- the more likely that such a said set of discrete energy  quanta, will consequently tend to result, in working to bear a greater tense, of a recursively smooth Ricci Flow, than it otherwise would.  To Be Continued! Sincerely, SAM ROACH.

Saturday, February 6, 2021

Anti Gravity And Recursively Smooth Ricci Flow

 When anti gravity is to be made Gliosis, upon a Noether-based tense of a given arbitrary proximal local topological manifold, that is of a given arbitrary oscillating isotropically stable mass-bearing cohesive set of discrete energy quanta, then such an inferred rotating set of discrete energy quanta, will consequently tend to result, in having an enhanced display of a recursively smooth Ricci Flow, than it otherwise would. SAMUEL ROACH.

Friday, February 5, 2021

Change In Vibrational Mode, And Homeomorphic Alteration In Impedance

 When the vibrational mode of a given arbitrary light-cone-gauge eigenstate, is to harmonically alter, over the course of a directly corresponding Fourier-Transformation, the directly associated increment of discrete energy impedance, will thereby consequently tend to change, in a homeomorphic manner. SAM. (1989).

Alteration In Spatial Dimensionality And Externalized Delineation Of Homotopic Residue

 I am about to develop a nifty idea; from a straightforward concept, Into one that may not be as initially obvious of an idea. When a given arbitrary superstring of discrete energy permittivity, is to viably alter in the number of spatial dimensions, that it is here to be exhibiting, over the general course of a given arbitrary respective evenly-gauged Hamiltonian eigenmetric, -- such a said superstring, will thereby consequently tend to alter in its dimensional-related pulsation. When a set of one or more cohesive increments of discrete energy quanta (a "team" of discrete energy quanta, if you will), is to be in the general process, of working to alter in its dimensional-related pulsation, even though it may or may not be altering in its speed in relation to the motion of light, (yet), it will, however, in a way, tend to be altering in its directional import, in relation to light, -- to where, there will consequently be both a proximal local tense of an eminent i*PI(Del) Action present here (at the covariant locus, in which such an inferred set of one or more cohesive discrete quanta of energy, is here to be in the process of altering, in the number of spatial dimensions, that it is thence to be exhibiting), as well as that there will also tend to consequently be, a resultant externalized delineation here, of that respective given arbitrary homotopic residue, that will thereby tend to be altered in its distributional mode, due to the earlier mentioned alteration in dimensional-related pulsation. You see, all discrete energy works to bear, in one manner or another, a tense of angular momentum. Angular momentum basically amounts to a "drive" in a direction. When a cohesive set of discrete energy quanta is to alter in its spatial dimensionality, it will tend to alter in its relative tense of holomorphic direction, and the "holomorphic direction," is the direction that a "team" of one or more discrete quanta of energy "wants" to move into, given the Ward-Cauchy-related physical attributes, of such a respective set of discrete quanta of energy. So; when a "team" of discrete energy is to alter in its spatial dimensionality, it will also tend to alter in its newly determined innate directional tendencies. This will thereby work to alter the angular momentum (not to mention a potential alteration in its correlative spin-orbital momentum), of such a said "team," which will thereby tend to make at least some sort of an effect, upon the general directional attribute, of such a said "team" of energy, when this is here to be taken, in relation to the motion of light. An acceleration is a change in velocity, and velocity is speed In a direction. So; no matter how constant of a speed that something is here to be exhibiting, if it is here, in one way or another, to be altering in its direction at all, in relation to light, then, it will be accelerating. Any tense of an acceleration in the activity of a "team" of discrete energy, will thereby tend to work to form both an eminence in the i*PI(Del) Action, As a well as tending to work to form a re-delineation in its corroborative homotopic residue (of which is simultaneously, via the vantage-point of a central locus, to be conserved.) SAM ROACH.

Thursday, February 4, 2021

An Idea As To "Static-Voltage"

An idea that I have recently thought of, as to the nature of what works to cause the existence of Van-Der-Waals forces, is appertaining to a concept, that I call, "Static-Voltage." Back to basics: Voltage is energy per charge. Voltage often tends to exhibit a repulsion-related pressure, upon the phenomenology that is relatively adjacent to the exhibition of such said voltage. Molecules vibrate to a certain extent, and molecular vibrations are a form of energy. Molecules tend to exhibit, at a level that is here to be Poincare to being just external to their outer periphery, a tense of a "static-charge." Since molecules work to externally bear, at a general locus, that is pretty-much just external to the outer periphery of such said individually taken molecules, both a certain intrinsic resistance And a certain intrinsic Pseudo Current (due to the existence of static electricity), this will consequently tend to work to form, as well, a tense of an intrinsic voltage, -- again, at a general locus, that is pretty-much just external to the outer periphery of such said individually taken molecules. This is, in part, due to the fact, that voltage Also is here to be equal to the resistance multiplied by the current. Therefore, to me, it seems fair to say, that such a general description of a viable tense, as to what may be thought of as being of the nature of acting as "static- voltage," seems plausible, to be a definitive factor, as to what works to allow for the existence, of what are often termed of, as being "Van-Der-Waals" forces. To Be Continued! Sincerely, Sam Roach. (1989).

Tesla Energy -- Heteromorphic Flow Of Discrete Energy Impedance

 Tesla Energy tends to work to involve, a tense of a heteromorphic flow of discrete energy impedance. 

Ricci Flow And Homeomorphic Flow Of Motion

 When an isotropically stable mass-bearing cohesive set of discrete energy quanta, is here to work to bear a recursively smooth Ricci Flow, its directly affiliated light-cone-gauge eigenstates, will consequently tend to result, in working to bear a homeomorphic flow of motion. To Be Counted! Sincerely, SAM ROACH.

Harmonic/Anharmonic Increments Of Discrete Energy Impedance

 The homeomorphic activity of light-cone-gauge eigenstates, generally tends to work to form harmonic increments of discrete energy impedance; whereas, -- the heteromorphic activity of light-cone-gauge eigenstates, generally tends to work to form anharmonic increments of discrete energy impedance. SAM.

Wednesday, February 3, 2021

Diffeomorphic Set Of Energy And Correlative Homeomorphic Lagrangian

A Noether-based diffeomorphic mass-bearing cohesive set of discrete energy quanta, that is here to work to display the general physical attribute of exhibiting an isotropically stable nature, to where such an inferred set of discrete energy quanta, is here to work to bear the general genus, of also exhibiting the mappable-tracing of a De Rham cohomology, as this is here to be taken over a sequential series of group-related instantons, to where this will consequently tend to work to result, in almost inevitably tending to be corroborative with the general Ward-Cauchy-related condition, in which the directly corresponding Lagrangian, of which is here to act or behave, as the motion-related transference of physical phenomenology through the general course of space-time-fabric, will then act to display the inferred motion of such a said cohesive set of discrete energy quanta, to where this will consequently, under these stated/inferred conditions, tend to cause the eminent proximal local presence, of the display or exhibition, of what is here to basically amount to, the inevitable gauged-action of a given homeomorphic Lagrangian. SAM ROACH.

Tuesday, February 2, 2021

As To Chi And Tense Of Scattering

 "Yin(g)" (which basically amounts to constructive "chi") tends to the general inclination of Wess-Zumino Interactions, -- which tends to the general inclination of Riemann Scatterings (harmonic scatterings), -- which tends to the general inclination of the multiplicity of creative forces (Forces that build things up). Whereas; "yang" (which basically amounts to destructive "chi") tends to the general inclination of Cevita Interactions, -- which tends to the general inclination of Rayleigh Scatterings (anharmonic scatterings), -- which tends to the general inclination of the multiplicity of destructive forces (Forces that break things down). I will continue with the suspense later! To Be Continued!  Sincerely, SAMUEL DAVID ROACH.

Monday, February 1, 2021

Just A Thought, As To Tenses Of Thought Waves And Interactions

 Here is something that I have recently conjectured. Thought waves that are here to directly involve the general chi-related characteristic of "yin(g)," tend to have a greater probability, of working to form a Wess-Zumino Interaction than a Civita Interaction, -- when these said thought waves, are here to make a Gliosis-based contact, upon a topological manifold; whereas, thought waves that are here to directly involve the general chi-related characteristic of "yang," tend to have a greater probability, of working to form a Civita Interaction than a Wess-Zumino Interaction, -- when these said thought waves, are here to make a Gliosis-based contact, upon a topological manifold. Sincerely, Sam Roach.

Homeomorphic Thought-Wave Transferences

 Homeomorphic thought wave transferences, tend to be more isotropically stable in delineation, than heteromorphic thought wave transferences are. What this means, is that; when a thought wave is to be transferred from one spot to another, via the general course of a smooth Lagrangian of spatial translation, such a said thought wave will Tend to bear a greater probability, of exhibiting the general physical attribute, of displaying a tense of group action, than if such a said thought wave were, instead, to be transferred from one spot to another, via the general course of a spurious Lagrangian of spatial translation. SAM.