Showing posts with label holonomic substrate. Show all posts
Showing posts with label holonomic substrate. Show all posts

Tuesday, December 13, 2022

Heuristic Gravitational Force / Anti Gravitational Force -- Restraint Of Inferred Tendencies

 Heuristic Gravitational Force, tends to impel the general restraint, upon the kinematic distributional delineation of a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, in so as to incur the general physical tendency, of working to help allow for a proximal local condition of conformal invariance. Whereas; Anti Gravitational Force, as imparted upon a given arbitrary Noether-Based mass-bearing Hamiltonian Operator, tends to impart the general physical condition of restraint, upon the initially incurred  physical condition of conformal invariance, that is here to have initially been occurring, in so as to tend to work to help allow, for the spontaneously ensuing potential kinematic distributional delineation, of the topological manifold, that is here to be of the holonomic substrate of the earlier stated given arbitrary respective Noether-Based mass-bearing Hamiltonian Operator, of which is here to be theoretically described in a general manner, in this particular genus of a case scenario. SAM ROACH. 

Tuesday, October 4, 2022

Stoke's-Based Hermitian Homeomorphic Region-Related Curvature

 The Fourier-Related-Progression of a Stoke's-Based hermitian homeomorphic region-related curvature, of which is here to work to bear a recursively smooth covariant vibrational oscillation, when such an inferred kinematically delineated distribution, of an operational set of cohesively nodal states or integrable "cells," is here to work to bear a Noether-Based symmetry, when in conjunction with its eminent externalized Ward-Cauchy-Related environment, will, more often than not, tend to work to bear the general characteristic, of exhibiting the display, of a net functional homotopic-related eigenstate, as this stated functional homotopic-related eigenstate, is here to quite often tend to behave, as an oscillating planar region, when this is to be considered, at a region which is Poincare, to the vantage-point of the topological surface, of the holonomic substrate, of the earlier stated region-related curvature. SAMUEL ROACH. 

Friday, October 1, 2021

Residual "Slack" Of Wave-Based Discrete Energy Impedance

 The main superstring-related physical operation, of which gauge-bosons perform -- is Tantamount to this:

Gauge-Bosons, in effect, take the equivocal residual "slack" of chorded mini-string-related segmentation, that is here to be viably latent, in the proximal local vibrational holonomic substrate, that is here to be present, at the general region of the core-field-density, of wave-based discrete energy impedance (wave-based discrete energy "lag"), and these inferred gauge-boson eigenstates, are thence to consequently work, at tangentially "slinging," such an inferred tense of equivocal residual holonomic vibrational "slack," of chorded mini-string-related segmentation, in a manner, that is here to be propagated, directionally outward and away from the general proximal local core-field-density, of which is here to be eminent to the general region, of the core-field-density, of the inferred given arbitrary light-cone-gauge eigenstate, that is here to be directly corresponding, to such a given arbitrary associated cased scenario -- to where, such a propagated set of wave-sublets, are thence to ripple along the multiplicity, of the vast array of mini-string-related inter-connective differential configuration, that is here to be latent, along the general multiplicity of the Rarita Structure, in so as to thereby have a general tendency, of working to interact with other superstring-related fields, in order to work at helping to form the multifarious forces of physical nature. TO BE CONTINUED! SAM.

Monday, September 13, 2021

Anti-Holomorphic Wave-Tug -- Fadeev-Popov-Trace Eigenstate

 The relatively greater of a scalar amplitude of an anti-holomorphic wave-tug, that is here to be applied upon the holonomic substrate, of the topological manifold of a given arbitrary respective  Fadeev-Popov-Trace eigenstate, the more that the correlative respective first-order light-cone-gauge eigenstate, that is here to be eminently effected by the directly associated motion, of such a stated Fadeev-Popov-Trace eigenstate, will thereby tend to consequently work, to bear a greater scalar amplitude of Ward-Cauchy-Related impedance. It follows then; that the relatively lesser of a scalar amplitude of an anti-holomorphic wave-tug, that is here to be applied upon the holonomic substrate, of the topological manifold of a given arbitrary respective Fadeev-Popov-Trace eigenstate, the more that the correlative respective first-order light-cone-gauge eigenstate, that is here to be eminently effected by the directly associated motion, of such a stated Fadeev-Popov-Trace eigenstate, will thereby tend to consequently work, to bear a lower scalar amplitude of Ward-Cauchy-Related impedance. TO BE CONTINUED! SINCERELY, SAM ROACH.

Sunday, September 5, 2021

Topological Sway Of Fadeev-Popov-Trace Eigenstates

 When a given arbitrary Fadeev-Popov-Trace eigenstate, is to work to bear a topological sway, that is here to be exhibiting the general genus, of a kinematic spin-orbital gauged-metric-related motion, that is to be exhibiting such a general tense of a topological sway, in a heuristic type of a case, in such a manner, that is here to be subtended in covariance, between the relative norm-to-holomorphic axion and the relative holomorphic axion, -- this will consequently often tend to bear the resultant, in which such a mentioned tendency of topological sway, will thereby have a relatively strong probability, to where this will often work to assist the directly corresponding effected first-order light-cone-gauge eigenstate, to thereby have a holomorphic torsion applied upon the holonomic substrate, of its proximal local topological manifold. Furthermore; When a given arbitrary Fadeev-Popov-Trace eigenstate, is to work to bear a topological sway, that is here to be exhibiting the general genus, of a kinematic spin-orbital gauged-metric-related motion, that is to be exhibiting such a general tense of a topological sway, in a heuristic type of a case, in such manner, that is here to be subtended in covariance, between the relative norm-to-holomorphic axion and the relative Nijenhuis axion, -- this will consequently often tend to bear the resultant, in which such a mentioned tendency of topological sway, will thereby have a relatively strong probability, to where this will then often work to assist the directly corresponding effected first-order eigenstate, to thereby have a Nijenhuis torsion applied upon the holonomic substrate, of its proximal local topological manifold. SAMUEL. 

Sunday, July 4, 2021

Hermitian Spatially Transferred Knotted Phenomenology

 The more hermitian that the spatial transference, of a given arbitrary superstring-related knotted phenomenology, is to be translated, over the span of a given arbitrary duration of time, -- the more harmonically that the respective directly corresponding metric-gauge eigenstates, that are here to be directly associated with the kinematic stratum, that is of the core-field-density of the holonomic substrate, of such an inferred topological manifold of superstring-related knotted phenomenology, will thereby consequently tend to kinematically vibrate, in so as to often tend to work form the general mappable-tracing, of a De Rham cohomology. I WILL CONTINUE WITH THE SUSPENSE LATER! SAM.

Monday, May 31, 2021

Substringular Manifold Globalization

 When a given arbitrary cohesive set of metric-gauge eigenstates are to come together, in so as to work to form the general entity of a topological manifold, at the Ward-Cauchy-related level, -- the general Process of the  kinematically delineated gauged-action, that is here to be spatially translated over time, in so as to work to form such an inferred entity of holonomic substrate, may be thought of, as being named, a tense of a Substringular Manifold Globalization. To Be Continued! Sincerely, SAMUEL DAVID ROACH. (1989).

Saturday, October 17, 2020

Wave-Tug During The "Big-Bang"

 At the instant of the "Big-Bang," the general processes of the reductional forces of nature, were thence to be maxed-out at this point -- of which was here, to be occurring at the beginning of "time." Therefore; when the "Big-Bang" happened -- the multiplicity of the wave-tug, that was here to be applied upon the directly corresponding earlier rendition of the Rarita Structure, was to be maxed-out, since it's the flow of the Rarita Structure, that's to allow for the translational transference of the propagation of the reductional forces of nature, to thereby occur. This would consequently be the Equivalence (but Not literally), of a maxed-out multiplicity, of a tight assortment of countless individually taken gauge-bosons, -- working to "pluck" their correlative second-order light-cone-gauge eigenstates (like a harp), in such a manner, to where both the practical respective elastic and fractal module of the said second-order light-cone-gauge eigenstates, that are here to be "plucked," are to be maxed-out, yet, without any damage to the structural integrity, of their directly corresponding topological stratum of holonomic substrate. To Be Continued! Sincerely, Sam Roach.

Sunday, June 28, 2020

Clifford Expansion, Relating To Rayleigh Scattering Of Component Parts Of Complex Manifolds

Let us initially consider a mass-bearing orbifold eigenset, -- that is here to act as the holonomic substrate of a complex manifold.  When those discrete quanta of energy, that are here to have worked to comprise such a said orbifold eigenset -- are to result in an action, by which these said quanta are to consequently diverge from each other, via a Rayleigh scattering, such an inferred general genus of a divergence, will often tend to be as appertaining to that of a general genus of a Clifford Expansion.  Furthermore; let us next consider a mass-bearing orbifold eigenset,  -- that is here to act as being of the holonomic substrate of a Real Riemannian nature.  When those discrete quanta of energy, that are here to have worked to comprise such a said orbifold eigenset, are to result in an action, by which these said quanta are to consequently diverge from each other, via a Rayleigh scattering, such an inferred general genus of a divergence, will often tend to be as appertaining to that of a general genus  of a euclidean expansion. To Be Continued! Sincerely, Samuel David Roach.

Friday, June 19, 2020

Outward Exertion Of External Field Of Orbifold Eigensets

That general outward moving propagation-related exertion of the external field, that is of any one given arbitrary Noether-based orbifold eigenset, tends to be the main manner, in which the discrete tense of the holonomic substrate -- of that general force that may be conveyed of here as being correlative to the E(8)XE(8) stringular oscillation-based tendency, -- is consequently to bear a respective propagation into the general realm of the Rarita Structure, in so as to often tend to help to form an influence upon all of the other 7 main forces of nature, over the duration-related processes of the sequential series of group-related instantons. Sincerely, Samuel David Roach.

Friday, June 5, 2020

More As To The Purpose Of The Quaternionic-Instanton-Field-Pulse-Mode

Intrinsically speaking; the Lagrangian of discrete energy (the energy of the motion of such said discrete energy) and the Hamiltonian of discrete energy (the energy of the holonomic substrate of such said discrete energy), correlate to each other -- by a factor of (-i);
And, as an ansantz, (-i) equals the negative square-root of (-1).
When one takes (-i) to the power of Four, it is equal to "1."  ((-i)^4 = 1).
Consequently, when one is to consider my particular model of string theory; the general activity of the quaternionic-instanton-field-pulse-mode, of which I believe to happen to occur, during that portion of the generally unnoticed duration of Ultimon Flow, --  that is to happen immediately before the ensuing iteration of group-related instanton, -- works to help to directly equate the "motion" of energy (its directly affiliated Lagrangian) with the "thing" of energy (its directly affiliated Hamiltonian) -- whereby, there is then to be a direct relationship, that is consequently to exist between the general multiplicit superstringular activity, --  as taken at a fundamental level, And, its corroborative fabric-related entity, --  that is again to be taken at the recently inferred fundamental level, of such a respective case. Sincerely, Sam Roach.

Saturday, May 16, 2020

The Main Physical Substrate, That The Basic Forces Of Nature Are Translated Through

That multiplicit holonomic substrate, of which the multiplicit vibrational flow of the Rarita Structure is to be operating upon, over the general course of the correlative multiplicit sequential series of group-related instantons -- in so as to transfer that general entity of the countless oscillation-related eigenindices of the Ward-Cauchy-related realm (of which is here to be in the general arena of the substringular realm), -- is the main physical substrate, by which the most fundamental basic forces of physical nature are thence to be translated through, -- in so as to achieve those fundamental main influences of physical nature, that are consequently to be necessary, in so as allow for that physical realm that we are a part of, to thus be able to both persist and exist. Sincerely, Sam Roach.

Friday, March 6, 2020

The Smallest Holonomic Substrate

The smallest discrete "quantum" of a holonomic substrate that is not frayed -- that may be "divvied-out," is on the order of about 2.062365054*10^(-129)*6.62607004*10^(-34)Joules*Seconds, or, in other words, about 1.366538*10^(-162)Joules*Seconds. This would thence be equivalent, to the smallest "quantum" of mini-stringular segmentation that is not frayed, that may be translated via a duration, through any sort of a viable spatial delineation.  I will continue with the suspense later! Samuel David Roach.

Tuesday, March 3, 2020

Rigidity Of Torsion Applied To Mini-Stringular Segmentation

The higher that the scalar amplitude of the substringular pressurized vacuum, that is here to be applied upon a relatively proximal local holonomic configuration of mini-stringular segmentation -- as this is here to be taken over an evenly-gauged Hamiltonian eigenmetric, -- the Greater that the the scalar amplitude will tend to be, of the rigidity of torsion, that will consequently tend to be applied upon the holonomic substrate of such a configuration of mini-stringular segmentation.  Consequently; the lower that the scalar amplitude of substringular pressurized vacuum, that is here to be applied upon a relatively proximal local holonomic configuration of mini-stringular segmentation -- as this is here to be taken over an evenly-gauged Hamiltonian eigenmetric, -- the Lower that the scalar amplitude will tend to be, of the rigidity of torsion, that will consequently tend to be applied upon the holonomic substrate of such a configuration of mini-stringualr segmentation. Samuel David Roach.

Monday, December 30, 2019

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.

Monday, December 9, 2019

General Genus Of Cotangent Bundle

That general genus of a cotangent bundle, that is directly associated with the proximal locus of the convergence of mini-stringular segmentation upon the holonomic substrate of a superstring, is to tend to work to be most associated with the hyperbolic cotangent function; whereas, -- that general genus of a cotangent bundle, that is directly associated with the proximal locus of the convergence of mini-stringular segmentation upon the holonomic substrate of the presence of the countless array, of what I term of as being the physical entities of norm-state-projections, is to tend to work to be most associated with the euclidean form of the cotangent function.  To Be Continued!  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.

Saturday, October 26, 2019

Tree-Amplitudes And Knotted Phenomenology

The higher that the order of genus of a Tree-Amplitude-related directoral is to be, for any given arbitrary Ward-Cauchy-related cotangent bundle of holonomic physical phenomenology, the more knotted that such a said respective Ward-Cauchy-related cotangent bundle of holonomic physical phenomenology will tend to be -- at its respective internal reference-frame.  Sincerely, Sam Roach.

Sunday, September 22, 2019

More As To The Embedding Of Chern-Simons Invariants

When Chern-Simons Invariants are to be embedded upon the holonomic substrate of the force of pressurized vacuum, -- this tends to work to form force-fields.

When Chern-Simons Invariants are to be embedded upon the holonomic substrate of the point- commutative force, -- this tends to work at helping to form the i*PI(del) Action.

When Chern-Simons Invariants are to be embedded upon the holonomic substrate of the strong force, -- this tends to work to help at forming the multiplicit Majorana-Weyl-Invariant-Mode.

When Chern-Simons Invariants are to be embedded upon the holonomic substrate of the electromotive force, -- this tends to work to help form, what may be generally thought of as being charge.

When Chern-Simons Invariants are to be embedded upon the holonomic substrate of the weak force (spontaneous radioactive decay), -- this tends to help at working to form entropy as a whole.

To Be Continued!  Sincerely, Samuel David Roach.


Saturday, September 21, 2019

Ideas And Inertia

Chern-Simons Invariants that are embedded upon the holonomic substrate of thought waves, work to form ideas.  Furthermore -- Chern-Simons Invariants that are embedded upon the holonomic substrate of gravitational waves, work to form inertia.  To Be Continued!  Sincerely, Samuel David Roach.