Showing posts with label discrete quantum. Show all posts
Showing posts with label discrete quantum. Show all posts

Sunday, April 18, 2021

On The Coupling Of The Kinetic Motion Eigenstate, Of A Disturbance In Space-Time-Fabric

 When a Noether-based discrete kinetic eigenstate, that is of a perturbative disturbance in space-time-fabric (in units of "Joules"), is to couple with a discrete scalar quantum of time during instanton (in units of "seconds"), this general type of a kinematic display of behavior, will tend to work to form the general nature, of what may be termed of, as being the essence of "Planck Energy." (in units of "Joules*seconds"). The "thing" or "holonomic substrate" of such an inferred discrete quantum of "Planck Energy," is the general idea, behind what tends to be referred to, as being a superstring of discrete energy permittivity. Furthermore; the "action" or "motion" of such an inferred discrete quantum of "Planck Energy," is the general idea, behind what tends to be referred to, as being the "Lagrangian"of such an inferred discrete quantum of "Planck Energy." I will continue with the suspense later! Sincerely, Sam Roach. (1989).

Thursday, May 21, 2020

Second-Order Light-Cone-Gauge Eigenstates And Slippage

Just as those cohomology-related eigenstates, that are directly corresponding to the proximal local presence of a symplectic geometry -- are to tend to work to bear less slippage, at a level that is Poincare to the topological surface of such a respective superstring of discrete energy permittivity, that is here to work to bear such an inferred tense of a symplectic geometry -- than what often tends to be the case for those cohomology-related eigenstates, that are, instead, to be directly corresponding to the general tendency as to what is here to occur, with the correlative grouping of those cohomology-related eigenstates, that are here to be appertaining to the proximal local presence of a Khovanov geometry; it then tends to follow, that any second-order light-cone-gauge eigenstate that is here to be directly corresponding to a given arbitrary discrete quantum of energy, that is of an abelian light-cone-gauge topology, will tend to bear less of a tense of a scalar amplitude of slippage upon a Gliosis-based contact, -- than those bearings of a relative tense of a general scalar amplitude of slippage, that would otherwise occur, for any second-order light-cone-gauge eigenstate, that is here to instead to be directly corresponding to a given arbitrary discrete quantum of energy, that is of a non abelian light-cone-gauge topology.  This is why any given arbitrary second-order light-cone-gauge eigenstate, that is of a non abelian topology, will eminently have a set intrinsic tense of sinusoidal standing waves -- of which are internally like a tense of a minute fractal of a soliton-related nature, at a level that is Poincare to the Gliosis-based topological surface of such a herein stated second-order light-cone-gauge eigenstate,  since such sinusoidal waves are here to be Like a non-rippling "standing wave" at an internal reference-frame, while these are here to be in the process of being shifted around very quickly at an immediately external reference-frame. This acts, in so as to help to work to compensate for the so-inferred tense of slippage.; Whereas, -- any given arbitrary second-order light-cone-gauge eigenstate, that is of an abelian topology, will eminently have a set intrinsic tense of a More "supplemental" nature at a level that is Poincare to the Gliosis-based topological surface of such a herein stated second-order light-cone-gauge eigenstate, since the condition of a lesser tense of a scalar amplitude of slippage, tends to work to allow for the relinquishment of the eminent need for such sinusoidal "divots," that would Otherwise be necessary for the correlative gauge-bosons of such a given arbitrary quantum of energy, to be able to go into the act of plucking such stated light-cone-eigenstates, in so as to work to produce those Schwinger-Indices that are "proliferated," in so as to work to help to form the countless eigenstates of the various basic forces of nature. Sam Roach.

Sunday, April 26, 2020

From Accelerating Via A Euclidean-Related Path Into Accelerating Via A Clifford-Related Path

When any one given arbitrary Noether-based orbifold eigenset, that is here to work to maintain its general tense of spatial dimensionality, is to initially go from being spatially transferred into a tense of a smooth transversally accelerating pattern of motion, via a mappable cohomology that may be traced in a Laplacian-based euclidean-related path, Into then subsequently altering in the general genus of its Lagrangian-based path, -- by being smoothly delineated via a mappable cohomology-related path, that is instead here to be of a Clifford-related manner, in spite of working to bear what would otherwise be the same consistent general pattern of being spatially transferred, via a tense of what would otherwise be the same general type of a smooth transversally accelerating manner of motion, over an evenly-gauged Hamiltonian eigenmetric, that is here to be of the same duration as the initially inferred general tense of motion; then, at the point in time and space at which such a said orbifold eigenset is here to be altering from being spatially transferred as a Hamiltonian Operator, that is here to initially be working to form a euclidean mappable cohomology-related path, via the operational translation of its Lagrangian, over a discrete quantum of time, Into subsequently being spatially transferred as a Hamiltonian operator, that is here to work to form a hyperbolic mappable cohomology-related path, via the operational translation of its Lagrangian, over a discrete quantum of time, -- this general type of an occurrence will consequently tend to work to cause, at the proscribed point of such an alteration in the general genus of a mappable-tracing, a set of one or more Lagrangian-based Chern-Simons singularities; -- although to where such a respective general genus of a scenario, will Often not tend to work to form metric-related Chern-Simons singularities, on account of the stated condition here proscribed of such an orbifold eigenset of such a respective given arbitrary case, to be a case in which one is here to be considering a Hamiltonian Operator, that is to be maintaining its condition of a smoothly-accelerating transversal-based pattern of motion, through time and space. Samuel Roach.

Thursday, April 16, 2020

Electron Orbit And The Formation Of Photons

A typical electron works to bear a 1 out of 137 chance of falling back-and-forth an energy level, in so as to work to form a photon from the residual excess energy that such a said electron will have just attained, when such a said typical electron is here to be orbiting around the nucleus of an atom.  This works to indicate, that any one given arbitrary electron, will tend to average at helping to work to form one discrete quantum of electromagnetic energy, -- for every 137 cycles of orbit by which such a said typical electron is here to work to be translated through, over the course of its motion, as it is here to be in the process of circulating around the nucleus of any one given arbitrary respective atom, that it is here to be most associated with, over a respective quantum of time. To Be Continued! Sincerely, Samuel David Roach.

Friday, April 5, 2019

Release Of Relative Yukawa Bearing

When the general Ward-Cauchy-related process is here to be going on, during which the residual kinetic energy of an electron is to be released in the form of a photon -- there is here to be one directly corresponding open-looped superstring of discrete energy permittivity, that is then to release the immediately prior state that it had had, when in terms of its relative Yukawa bearing upon the correlative respective electron, to where right after such a said general process is to occur -- the here just released correlative discrete quantum of a Legendre homology, is then to undergo the general process,  that is here to be directly involved with the activity of the Fujikawa Coupling,  which is here to happen via the manner of activity that is known of as being of the Green Function, -- in so as to ensue as to work to form one given arbitrary respective discrete quantum of electromagnetic energy.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Saturday, February 23, 2019

Unitized Coupling

If two different distinct Hamiltonian Operators, that are to act as monopoles that are here to be of the same number of spatial dimensions, as these so-eluded-to eigenstates, that are of a discrete quantum bearing of divvied-out energy-- that are here to generate the same absolute value of a Lagrangian-related energy, at a given arbitrary conipoint in space and time -- even though these two distinct Hamiltonian Operators, are to bear their respective correlative motion, in a manner that is of a covariant antiholomorphic means of interaction, over an evenly-gauged Hamiltonian eigenmetric, -- to where there is then to be the condition that these two said Hamiltonian Operators, if coupled in such a manner as this would tend to infer, -- would then tend to act, in so as to consequently work to help to form some sort of inter-relationship of those charges or fractals of charges, that are delineated to the electrostatic or fractal of electrostatic Ward-Cauchy-related conditions, that are of such a case scenario, in so as to work to help to cause charged particles to orbit and spin, in the manner in which these do over time.  This is, in part, because -- like I have mentioned before, such a so-eluded-to Coupling is tantamount to, (-i)*i, which is equal to one (1).   This just described tense of activity --thence works to involve unitization, -- and when eigenstates act in so as to be unitized, this will tend to move phenomena into a state or condition of optimum rest. Sincerely Samuel David Roach.

Saturday, January 19, 2019

Willmore Energy

Any set of discrete quanta of energy, that are spontaneously confined, from within what would here be -- a fully holographic or flat space (a Minkowski-related space, that is to exhibit up to a maximum of 26 spatial dimensions plus time), to where the Ricci Flow of the pertinent topological invariants, that are here to be of such a discrete quantum of energy, may be mathematically described of, as appertaining to the nature relating to:
+ or - ((The mean Gaussian curvature of the surface, that is of the respective cotangent bundle -- that is of such a case)
MINUS (The mean mobius-based curvature of the surface, that is of the respective cotangent bundle -- that is of such a case)).  (+ "out in front," for a Reimman tense of energy, or (- "out in front," for a Nijenhuis tense of energy.)  Generally, this will call for the explication of a Nijenhuis tense of energy.
Here, the said set of discrete quanta of energy, is to spontaneously remain as being of a flat Ricci Curvature, -- to where the said condition of mobiaty, that is of this respective given arbitrary case, is to remain spontaneously superconformally invariant, -- in so long as the correlative Ricci Curvature is to remain flat -- to where the said set of discrete quanta of energy, is to remain as being of a flat space, in so long as there is no external perturbative effect upon the dimensionality of the said set of discrete energy (space-time-fabric that is of a flat Ricci Curvature, is of a purely holographic tense of space) -- that is here in this case, to potentially take upon itself, an approximation of a round-like shape.
Spontaneously means here, that such a case would here to tend to remain as such, in so long as no other non-mentioned factors are to come into play.  Such a set of discrete energy, -- that is to be spontaneously kept as being of a flat space (maximum of 26 spatial dimensions), may be termed of as being here as an example of a "Willmore Energy."  A Willmore Energy, is a manner that is to be taken at a Ward-Cauchy-related level -- by which one is to be able to work at distinguishing the difference between a given actual displayed tense of energy, versus a theoretical completely spherically round tense of energy.  Since I perceive that the space-time-fabric that is of one individually taken set of parallel universes, works to bear a total of 32 spatial dimensions plus time, I have concluded that not all confined spaces are of a flat-space or holographic nature.  Furthermore -- I perceive there are three sets of parallel universes, with one time dimension in common among these, -- since there is only one space-time-continuum.  It then makes sense to me, that Space-Time-Fabric is Volumed space overall.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, November 6, 2018

Proximal Local Generation Of Cohomology

Let us initially consider a given arbitrary bosonic superstring of discrete energy permittivity -- that is here to be increasing in the scalar amplitude, as to the general amount of cohomology, that it is here to be generating over a set duration of time.  This will then work to mean, that the general amount of cohomology-related eigenstates, that the said discrete quantum of energy permittivity will tend to be producing (to where this so-eluded-to set of cohomology-related eigenstates, of which are here to be produced by the process of the vibrational oscillations, that are of the here given arbitrary bosonic superstring), over the course of one evenly-gauged Hamiltonian eigenmetric --, will then be increased to a greater general amount of cohomology-related eigenstates, over the course of an ensuing but equal scalar amplitude of an evenly-gauged Hamiltonian eigenmetric.  The more cohomology that is to be generated by a given arbitrary bosonic superstring of discrete energy permittivity over time, the more that physically-based norm-state-projections will tend to be drawn-in or convergent upon the correlative cotangent bundle -- that is here to be directly corresponding to the internal reference-frame of the kinematic-related covariant Lagrangian, that is to be of the proximal locus, that is here to be adjacent to the core-field-density of the moving overall vibrational oscillation of the directly corresponding superstring of discrete energy permittivity -- that is here to work to be directly involving the mappable-tracing, that is of the said discrete quantum of energy permittivity, as it is here to be transferred through its correlative Hamiltonian operand over time. 
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Friday, October 19, 2018

What Energy Is

Energy is formed by that general genus of a disturbance in space, that has a discrete interdependent relationship between its permittivity and its impedance.  A discrete quantum of energy is a node of such energy. The discrete quanta of energy permittivity are the correlative superstrings (and counterstrings) that work to help in comprising the energy of the multiverse, whereas the discrete quanta of energy impedance are the Fadeev-Popov-Trace eigenstates (and their correlative light-cone-gauge eigenstates) that work to help in comprising the energy of the multiverse.  Such superstrings basically appertain to the particle-related nature of discrete energy permittivity, whereas, such counterstrings basically appertain to the wave-related nature of discrete energy permittivity.  Such Fadeev-Popov-Trace eigenstates basically appertain to the particle-related nature of discrete energy impedance, whereas, such light-cone-gauge eigenstates basically appertain to the wave-related nature of discrete energy impedance.  When going in a Laplacian-related nature Into the multiplicit relative forward-holomorphic direction, discrete quanta of energy are connected in the following general manner: -- there is the Fadeev-Popov-Trace eigenstate as connected to the first-order light-cone-gauge eigenstate as connected to the superstring of discrete energy permittivity as connected to the counterstring of discrete energy permittivity.  The actual motion of such discrete quanta of energy, is the general idea as to what a Lagrangian is.The integrated duration of their delineations is time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Monday, June 11, 2018

Holomorphic Direction And Light Scattering

When an individually taken photon is to scatter upon another discrete quantum of energy, not only will the photon alter here in its holomorphic direction, once it is to become scattered into an entropic phenomenon -- it will temporarily alter in its holomorphic tendencies, until it is here to become re-quantized into a beam of electromagnetic energy.  You see, every different general genus of Ward-Cauchy-related phenomenology, works to bear its own set of holomorphic tendencies.  A discrete quantum of energy that is of a d-field is to work to bear a different set of holomorphic tendencies than a discrete quantum of energy that is of an f-field - whereas, a discrete quantum of energy that is of a p-field is to work to bear a different set of holomorphic tendencies than a discrete quantum of energy that is of either a d-field or of an f-field.  Furthermore, -- a discrete quantum of energy that is of a scattered photon as it is of an entropic state, is here to work to bear a different set of holomorphic tendencies than those of an unscattered photon that is not of an entropic state.  This is due to the basic general condition, -- that both the wave and the particle-based characteristics of a discrete quantum of energy, that are of a given arbitrary general genus of a Ward-Cauchy-related field -- are going to vary, when that said general genus of a field is to alter -- which is here going to mean, that the wave-tug/wave-push of such a field is going to then to tend to be inherently exhibited differently.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Friday, May 4, 2018

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.

Monday, March 12, 2018

More As To The Leverage Of The Higgs Action

The leverage of the Higgs Action, is caused primarily -- due to the leverage of the Fischler-Suskind Mechanism.  The general multiplicit condition of the Fischler-Suskind Mechanism, is comprised of by a correlative set of norm-state-projections, that work to bear a consequent orthogonal relationship -- that works to bear a wave-tug-related leveraging of ~6.25*10^18 (which is the reciprocal of the scalar magnitude of the smallest tense of discrete charge, which is ~1.6*10^(-19)Coulumbs) upon the correlative multiplicit Higgs Action eigenstate -- in so as to work to bring the activity of a Gliosis-related relationship, that is to ensue between discrete energy and the here directly corresponding multiplicit eigenstate of the holonomic substrate of the Klein Bottle, via the Kahler-Metric, in so that such a general tense of a Fourier-Transformation is here to be brought into the process of working to allow for the said multiplicit discrete quanta of energy to here to be re-attaining their fractals of discrete energy, in so as to work to allow for discrete quanta of energy to both persist and exist over time -- via such a relationship of a correlative general tense of a Gaussian Transformation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Zero-Norm-State-Projections Causing Fujikawa Coupling

The general manner by which zero-norm-projections work to help at forming the general activity of the Fujikawa Coupling, is by the manner by which that the directly corresponding zero-norm-state-projection or projections -- that are here to act in so as to be bending the discrete quantum of kinetic energy permittivity in a hermitian manner, is acting in such a manner by which it is here to be arcing gradually although spontaneously in a hermitian manner -- via its correlative tense of a fractal of spin-orbital-momentum.  Here.  A given arbitrary set of one or more zero-norm-state-projections are to work to bear a wave-tug upon a discrete quantum of kinetic energy permittivity, that is to be subsequently released as the excess residual energy of an electron, in the form of a photon.  As such a said set of one or more zero-norm-state-projections are to bear a Gliosis-related Yukawa wave-tug -- upon the said discrete quantum of residual energy, the so-stated set of projections is then to work to bear a smoothly-curved torsioning upon the converting discrete quantum of energy -- in a manner that works to consequently smoothly bend the discrete kinetic energy that is then to be becoming discrete electromagnetic energy, in a manner that works to involve only as many changes in derivatives as the number of spatial dimensions that it is here to be traveling through, over its directly corresponding Fourier-Transformation.  It is the smooth translation of the fractal of spin-orbital-momentum -- that the here torsioning set of one or more zero-norm-state-projections are to be undergoing over time -- that is here to work to cause the consequent smooth translation of the hermitian bending of the here released kinetic energy of the corerlative electron, that is here to then ensue, in so as then to form a resultant photon (a photon is a discrete quantum of electromagnetic energy).
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Monday, February 5, 2018

Relative Universal Settings

Let us initially consider two different immediately adjacent discrete quanta of energy, that are respectively each from two different universal settings.  Since the two different discrete quanta of energy are of different universes -- when this is to be considered as a relationship, that may be held in retrospect between one of the two individually taken discrete quantum increments of energy with the other individually taken discrete quantum increments of energy, -- the said immediately adjacent discrete quanta of energy, are here to not be orthogonal to one another, in such a manner to where these would otherwise be of the same universal setting.  Instead, both the angle of their displaced delineation, as well as the angle of their covariant vibration, -- will be of such a nature in so as to Not be of a respective 90 degree covariant Yukawa Coupling of placement, in conjunction with a covariant wobbling of 1.104735878*10^(-81)i degrees when in relation to one another -- as these would otherwise bear the one toward the other, if these two said discrete quanta of energy were to be of the same universal setting.  Yet, if these two said quanta were to exist under a covariant tense of a superconformal invariance -- to where both their covariant displaced delineation, along with their covariant wobbling, were to alter to where these were then to be of such a said condition of working to bear a respective 90 degree covariant Yukawa Coupling of placement, in conjunction with a covariant wobbling of 1.104735878*10^(-81)i degrees when in relation to one another, then, such a dual condition of a superconformal invariance would then involve two different discrete quanta of energy that would then be of the same universal setting.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Wednesday, January 31, 2018

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.

Wednesday, November 29, 2017

The Eminent Formation Of A Photon

When the Fujikawa Coupling is to  happen, at a relatively proximal local Ward-Cauchy-based region -- an electron is to release its excess discrete energy quantum, in the form of a photon.  As an ansantz, whenever the Fujikawa is to thus happen -- the eminent photon that is thus formed, is to follow a different general Lagrangian-based path, than that given arbitrary respective electron, that is here to fall back-and-forth an energy level, in so as to release a discrete quantum of kinetic energy -- in the form of a discrete quantum of electromagnetic energy.  This obvious foresight is due to the following general Ward-Cauchy-based principle:  The directly corresponding electron, is here to work to tend to bear the condition of being of a d-field.  The directly corresponding photon that is formed by the release of an excess discrete quantum of energy -- that is expelled by the earlier mentioned electron, is here to work to tend to bear the condition of being a p-field.  The d-field of an electron -- when given its general conditions of both its angular momentum and its spin-orbital momentum, -- is to bear discrete quanta of energy that work to comprise the said electron, that have one set of potential tendencies of holomorphic drive.  The p-field of a photon -- when given its general conditions of both its angular momentum and its spin-orbital momentum, --  is to bear a different set of potential tendencies of holomorphic drive, than individually taken discrete energy quanta that are of a d-field, would otherwise tend to be tugged into.  Such a general difference in holomoprhic-based tendencies, is one of the general Ward-Cauchy-based conditions, that works to help at causing the eminent photon, that is thus formed by an electron, to follow a different general Lagrangian-based path -- than the directly corresponding electron that is here to fall back-and-forth an energy level to produce such a respective photon, is here to have taken.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Tuesday, October 31, 2017

Angle Of Light Scattering Strike

When any one given arbitrary photon is to strike the externalized core-field-density, that is of the first-order light-cone-gauge eigenstate of another discrete quantum of energy -- in an oblique manner that is of a Ward-based acute angling -- the spontaneously ensuing gravity waves that act as Schwinger-Indices that are thus consequently formed, will tend to be of more of a harmonic nature, than if the approach of the photon when in the process of such a so-eluded-to scattering, were instead of an oblique Ward-based obtuse angling.  Consequently, -- when any one given arbitrary photon is to strike the externalized core-field-density, that is of the first-order light-cone-gauge eigenstate of another discrete quantum of energy -- in an oblique manner that is of a Ward-based obtuse angling -- the spontaneously ensuing gravity waves that act as Schwinger-Indices that are thus consequently formed, will tend to be of more of an enhharmonic nature, than if the approach of the photon when in the process of such a so-eluded-to scattering, were instead of an oblique Ward-based acute angling.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Saturday, October 14, 2017

The Light-Cone-Gauge

Whenever photons -- of which are tiny little discrete particles of electromagnetic energy -- are to scatter upon any other discrete quanta of energy, these individually taken photons are usually to tend to act, in so as to strike the externalized core-field-density of the light-cone-gauge eigenstate of another discrete quantum of energy.  Also, it is the light-cone-gauge -- that works in so as to act as a gauging liaison, that is to exist in-between the holonomic substrate of any one given arbitrary Fadeev-Popov-Trace eigenstate And its directly corresponding superstring of discrete energy permittivity -- that acts in so as to help in gauging both the positioning and the activity of the Polyakov Action eigenstate,  that the directly correlative superstring of discrete energy permittivity is here to be undergoing, over the course of any one individually taken iteration of BRST (that is during any one individually taken iteration of instanton).
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Monday, July 3, 2017

Norm-State-Projection Eigensets

Let us initially consider a set of norm-states, that work to perform one set of functional operation.  Such a Hamiltonian operator that is to here to consist of a group of cohesive norm-states, may here be called a norm-state-projection.  Furthermore, a set of norm-state-projections that operate as a group, in so as to work to perform one specific general function, may be called a norm-state-projection eigenset.  Let us next consider, in general, the array of gauge-metrics, that are here to be most directly pertinent to those sub-Fourier-based kinematic activities, that take place from a scope that takes place in less than one discrete increment of time.  None of such gauge-metrics are to here to be able to go an exact integer number into one discrete increment of instanton, to where, although any duration that is of a viable import to any living being, will tend to bear a discrete number of instantons, yet, any of such so-eluded-to gauge metrics that are here of a sub-Fourier-based tense, will tend to never bear an exact integer number of those said gauge-metrical-based durations into any viable time, to where these are here to occur at a level that takes place in less than one discrete increment of time.  Let's now consider a superstring, as it is eminent in its Yukawa-based inter-relationship with the Kahler-Metric, in a Gliosis-based manner.  Let us next consider the four general stages that such a directly affiliated discrete quantum of energy is to be involved with, over the course of one correlative individual instanton.  There will tend to be one norm-state-projection eigenset -- that is to be involved with that decompactification that is involved with the Polyakov Action.  There will tend, as well, to be one norm-state-projection eigenset -- that is to be involved with the main part of BRST, during the remainder of that said iteration of the respective proximal local Polyakov Action egienstate.  There will also tend to be one norm-state-projection eigenset -- that is to be directly associated with the eminent Yukawa-based inter-relation, that the said discrete quantum of energy is to bear with the holonomic substrate of the correlative Klein Bottle eigenstate, in a Gliosis-based manner, with the correlative increment of the Kahler-Metric -- right after the respective so-eluded-to iteration of the proximal local increment of BRST.  And, there will also tend to be one norm-state-projection eigenset -- that is to be directly involved with the directly associated discrete quantum of energy, that has been in the process of being in a Gliosis-based relationship to the Kahler-Metric, as the said discrete quantum of energy is to be going through the ensuing correlative Regge Action eigenstate -- at the relative ending part of instanton.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Thursday, June 29, 2017

Holomorphicity Of Kinetic Energy Versus E.M.

Discrete quanta of electromagnetic energy, are comprised of bosonic superstrings of discrete energy permittivity, that work to bear their individually taken holomorphic direction -- in the general multiplicit directoral, that is of the fractal of the angular momentum that is of the individually taken direction of the relative positioning of the anuulus of its toroidal-based core-field-density, -- whereas, discrete quanta of kinetic energy, are comprised of fermionic superstrings of discrete energy permittivity, that work to bear their individually taken holomorphic direction -- in the general multiplcit directoral, that is of the fractal of the angular momentum of the individually taken direction of the relative positioning of the apex of its conical-based core-field-density.  This is the fundamental difference as to how a discrete quantum of electromagnetic energy goes about moving in its correlative holomorphic direction, as to be compared to the manner in which a discrete quantum of kinetic energy is to go about moving, in what happens to be its own correlative holomoprhic direction.
I will continue with the suspense later!  To Be Continued! Sincerely, Samuel David Roach.