Chan-Patton Rules And Parity

The Chan-Patton conditions, that are appertaining to the Ward-Caucy relationships of the electrostatics of any respective given arbitrary atom -- that are to here appertain to the parity of an electron, will tend to work to force the correlative one-dimensional superstring and its directly corresponding counterstring -- to bend into a resultant two-dimensional superstring and its correlative two-dimensional counterstring, in a hermitian manner.  This will then work to tend to cause the said string and its counterstring, to thereby bend via the Fujikawa Coupling -- as is to here be in accordance with the Green Function.  The Chan-Patton conditions of parity, are here to be the case for the smooth energy relationships -- that exist for any discrete quanta of kinetic energy permittivity, that is to ensue as being released by an electron, when it works to drop back-and-forth an energy level.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Part three of the 14th Session of Course 18 -- The Ricci Scalar and Kaeler Differentiation

Chan-Patton rules basically act in so as to most directly refer to the conditions of the nature of those superstrings of discrete energy permittivity that are involved in a Gliossi manner, to both the existence and the activity of electrons.  Chan-Patton rules may refer to the conditions of both those two-dimensional superstrings that work to form the discrete mass of electrons, and, as well as to those one-dimensional superstrings that work to form the discrete kinetic energy of electrons.  In either case, the singularities that are extended from the activity of those superstrings that work to obey the so-stated Chan-Patton rules, would then here tend to bear a lack of Lagrangian-based Chern-Simmons singularities -- as such correlative superstrings of discrete energy permittivity are in motion, as going around the nucleus of any respective given arbitrary atom, over a sequential series of instantons, or, over any set period of time in which the directly corresponding superstrings that work to comprise the related electrons -- that would here appertain to the existence of the conditions of Chan-Patton rules -- are then here working to comprise the so-eluded-to electrons of any given arbitrary respective case scenario.  So, to one extent or another, those superstrings that work to obey the conditionality of Chan-Patton rules, tend to exist in a manner that may be described of as bearing a  hermitian-based nature.  Superstrings that work to comprise the orbifold eigenset of an electron, that do not work to obey the conditions of Chan-Patton rules -- are said to not bear a state of a hermitian-based Lagrangian set of singularities, that are then extended from both the existence and the activity of the here directly involved electrons that such superstrings work to comprise.  This would then work to cause the Lagrangian-based conditions of electrons that do not work to obey Chan-Patton rules to be of a Chern-Simmons-based nature.  Superstrings of discrete energy permittivity that work to bear a tense of a topological-based smoothness -- in the tense of their Lagrangian-based flow over time, yet, also bear a condition of having an annharmonic fluctuation per a state of a depictible sequential series of a flow of ensuing instantons over time, may be viewed of as bearing a condition of being of a partially hermitian-based nature.  Such a condition of bearing a partially hermitian flow over time, may involve either a tense of an ellongated and/or an attenuated set of pulsations, in the process of the activity of such directly corresponding superstrings to then be working to bear a spurious tense of an annharmonic nature, in their radial and/or their spin-orbital eigenbase of oscillatory-based functioning, over time.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Two of the 14th Session of Course 18 -- The Ricci Scalar And Kaeler Differentiation

Light, or, electromagnetic energy, works to obey the Noether Theorem -- over the course of the activity of its kinematic-based differentiation, over time.  Light obeys the Noether Theorem -- in terms of both its spin-orbital motion, its radial motion, and, also in terms of its transversel motion -- as such energy that crosses its electrical-based field and its magnetic-based field via the right-hand-rule is propagated as such energy from one respective given arbitrary spot to another, over time.  Tachyonic flow does not obey a Noether-based flow over time.  Superstrings of one respective given arbitrary set of universes exist -- over the course of the activity that is involved in their correlative Fourier Transformations -- in anywhere from one to 32 spatial dimensions plus time, over any given arbitrary increment of a sequential series of group-related instantons, in which such strings of discrete energy permittivity are kinematically differentiating through their respective Hamiltonian operands -- as the correlative respective time-frame in which such said superstrings exist, as discrete energy permittivity is portrayed in any correlative case scenario.  Chan-Patton rules work to elude-to the condition of a tendency toward a state of a hermitian-based flow of the set respective singularities, that are extended from the activity of those mass-based superstrings of an electron, in which such singularities tend to exist in a Yau-Exact manner, in the process of such mass-bearing superstrings acting in membranous conifolds that may be thought of as Calabi-Yau Manifolds.  Any superstrings of discrete energy permittivity that are of a Yau-Exact nature will be hermitian -- to where any of such a so-eluded to genus of superstrings will tend to be topologically smooth in as many derivatives as the number of spatial dimensions that such a so-eluded-to superstrings is moving in -- over the course of its correlative Fourier-based Transformation.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

The First Part of the Test Solutions to the Last Test of Course 17

1)  The Chan-Patton model is the scientific extrapolation of substringular phenomena, as being perceived of as appertaining to the multiplicit and multivarious superstrings and their correlative orbifolds and orbifold eigensets -- as being in a Noether-based genus of metrical flow, in such a manner in so that the directly associated Lagrangian-based mappable paths may here be tied to both their existence and their motion, as being relative to both the existence and the motion of the covariant, codeterminable, and codifferentiable flow of electromagnetic energy.  This model shuns the conditions of tachyonic-based flow.

2)  Since the Chan-Patton model only considers Noether-based substringular flow, such a correlative eigenbase of topological sway is only in terms of either the transversel and/or the radial Planck "leap" per increment of the so-eluded-to topological sway per iteration of group instanton.

3) As photons are scattered -- by the activity of these so-stated phenomena, as acting to strike other physical phenomena, -- the directly corresponding changes in norm-conditions, in terms of the correlative Gaussian Transformations, via the Kaeler-Metric, works to form a topological sway of the corresponding substringular entities that will act as a tense of entropy -- in the process of being metrically Gliossi to such a so-stated alteration -- in the multiplicit Gausian-based organization -- of the here cited norm-conditions.  As such alterations or perturbations are of a Noether-Flow-based format, then, such directly corresponding topological sways, that act in so as to allow for the needed eluded-to progressions -- via that reassortment of the multiplicit Ward-Caucy Hamiltonian operators, will act in such a manner in so as to allow for the resultant perpetual interchange of norm and ground-state indices -- to where this behaves in such a corresponding manner to where this case scenario may be described of as being an eigenbase of Chan-Patton sway.

4)  A Hamiltonian operator that acts upon a holonomic substrate, is a Hamiltonian operation that happens as a tense of a kinematic perturbation.

5)  A Hamiltonian operator that acts upon a corresponding Hamiltonian operand that is devoid of superstrings of discrete energy permittivity, works to describe an alteration that behaves as a non-kinematic perturbation.

To be continued with the next 6 test solutions soon! Sam.

Test Questions to the Last Test of Course 17 About the Ricci Scalar

1)  Explain the Chan-Patton model.

2)  Explain the basis of Chan-Patton topological sway.

3)  Explain entropy in terms of Chan-Patton topological sway.

4)  What is a kinematic perturbation?

5)  What is a non-kinematic perturbation?

6)  Explain the Ricci Scalar in terms of mass.

7)  Explain the Ricci Scalar in terms of plain energy.

8)  Explain the Ricci Scalar in terms of light.

9)  Why is light partially perturbative?

10)  How many Real Reimmanian-based spatial dimensions are associated with light?

11)  How many Njenhuis-based spatial dimensions are associated with light? Why?

I wil return with the solutions later!  To be Continued!  Sincerely, Sam.

Part Five of the Eleventh Session of Course 16

In the real world, superstrings that are bosonic  -- over one individual course of their substringular history, in which such discrete phenomena are closed loops -- are constantly vibrating as oscillating hoops, particularly over the course of instanton.  Likewise, in the real world, superstrings that are fermionic -- over one individual course of their substringular history, in which such discrete phenomena are open segments that are composed of first-ordered point particles that integrate as one relatively linear-based phenomena -- are constantly vibrating as oscillating strands, particularly over the course of instanton.  Certain laws work to govern the tendency and ability of superstrings of discrete energy permittivity to vibrate in the manner in which these do vibrate.  The vibration of any given arbitrary superstring -- over the course of an iteration of instanton -- is controlled by the condition of a directly corresponding harmonic-based oscillation.  All superstrings over the course of an individual iteration of instanton, are varied in the sway of their topological structure -- in both a stand-still consideration, and, also, in-between the multivarious gauge-metrics in which such superstrings act, in so as to behave as the discrete phenomena that these are, in order to be fundamental units of energy permttivity.  Such a topological sway always acts in so as to conform to an eigenbasis, for either any directly corresponding one-dimensional superstrings and for any directly corresponding two-dimensional superstrings.  Such an eigenbasis may be of either of an annharmonic nature -- when in terms of the delineation of its eigenvalues -- when in terms of one-dimensional superstrings, over the course of the correlative iteration of instanton, or, such an eigenbasis may be of a harmonic nature -- when in terms of the delineation of its eigenvalues -- when in terms of two-dimensional superstrings, again, over the course of the correlative iteration of instanton. The just eluded-to eigenvalues, in this case, work to describe the individual indices of the alteration of the directly corresponding Ward-Caucy derivatives, that works to describe the flow of the eluded-to Ward-Caucy-Plane -- in either a non-metrical and/or in a metrical-based manner.  The changes in Ward-Caucy denotations in the said superstrings work to describe harmonic oscillation eigenvalues, while, the different curved contours of any given arbitrary substringular space work to describe harmonic oscillation eigenspaces.  The different conditions that work to allow for superstrings to harmonically oscillate over a sequential series of group instanton  -- in a relatively hermitian manner -- are the gist of Chan-Patton factors.  This is why perturbations in the flow of a set of superstrings by a tachyonic flow, over time, is a key relation that works to temporarily break Chan-Patton factors. I will continue with the suspense later!
To Be Continued!  Sincerely, Samuel Roach.

Some More of a Preperation For The Next Session of Course 16

Certain laws of physics work to govern the general tendency and ability of superstrings of discrete energy permittivity to vibrate  in the manner of which these happen to vibrate in.  The vibration of a superstring, when at the metrical indices in which these iterate at group instanton, is controlled by the condition of bearing either an annharmonic or a harmonic oscillation -- for one-dimensional superstrings and for two-dimensional superstrings, respectively.  All superstrings of discrete energy permittivity, at the eluded to indices of iteration of group instanton, bear at least some sort of tendency of torsion -- as is according to certain respective eigenbases -- for either one-dimensional superstrings in one general manner, and, for two-dimensional superstrings in another general manner.  Depending upon the various spatial conditions that work to govern the said respective superstrings of discrete energy permittivity, there is a certain amount of variety as to what the correlative eigenbases may be.  This would thus work to correspond to a general tendency for harmonic eigenstates for two-dimensional superstrings, and, this would thus work to correspond to a general tendency for annharmonic eigenstates for one-dimensional superstrings.  Such bases would work to correlate the eigenspace that directly corresponds to the activity of each superstring, over the course of each succeeding iteration of group instanton in which these kinematically differentiate in per correlative iteration.  The changes in Ward-Caucy denotations that work to describe the activity of the directly associated superstrings works to describe the both the harmonic oscillation of two-dimensional superstrings over the course of the eluded to iterations, and, the annharmoanic oscillation of one-dimensional superstrings over the course of the eluded to iterations. This denotation works to describe the various degrees of both the torsioning of the superstrings and the format as to how and to what degree that the here directly corresponding superstrings, bear their respective geni of having a basis of swivel-shape, along the topological contour of the said superstrings.  These various conditions that work to both form and to also describe the harmonics and the annharmonics of the respective two and one-dimensional superstrings -- at the multiplicit iterations of group instanton -- is either hermtian, when the motion of the directly corresponding superstring moves smoothly through space, or, it is Chern-Simmons, when the motion of the directly corresponding superstring bears spurs in its Lagrangian-based path -- over a sequential series of iterations.  Yet, even if the eluded to Lagrangian-based path is hermitian, if there is any annharmonics in the metric of the redelnieation of any given arbitrary superstring -- as it is being redistributed over time, then, there will be at least some Chern-Simmons singularities, when in terms of the mapping of the motion of the said superstring over the eluded to duration of time.  The directly prior condition is true, whether the superstring is two-dimensional or one-dimensional -- even though two-dimensional superstrings at iteration vibrate harmonically and one-dimensional superstrings vibrate annharmonically, during the very course of the multiplicit iterations of group instanton, taken per individual iteration of group instanton, in and of itself.  When a superstring, over a sequential series of instantons, is Yau-Exact, when in terms of both it Lagrnagian-based path being hermitian and its metical based Hamiltonian operation being hermitian, then, it is said to have obeyed Chan-Patton rules.  A superstring will always tend to be of a Noether-based flow if it is obeying Chan-Patton rules, yet, not all Noether-based superstrings obey Chan-Patton rules.  So, when a superstring becomes tachyonic, it will then digress from Chan-Patton rules.
To be continued!  I will continue with the suspense later!  Sincerely, Samuel David Roach.

Dimensionality

Space has both a Minkowski and a Hilbert dimensional basis. Minkowski space is flat space. Flat space may only exist in up to 26 spacial dimensions. Hilbert space is space that bears a non-holographic volume. Hilbert space, from the perspective of one universe, may have anywhere from three to thirty-two spacial dimensions. All space, whether it is Minkowski based or Hilbert based, also has the dimension of time. Whether or not a particular differentiation is time-based or not time-based will effect whether or not the given differentiation involves a Fourier Transform or a Laplacian Transform. So, both Minkowski space and Hilbert space, given the condition of particular description, may be described occasionally with Fourier Transforms and occasionally with Laplacian Transforms. The space of each of the three sets of parallel universes, taken individually, involves thirty-two spacial dimensions plus time. Time is a measurement of relative motion of the associated spacial dimensions. So, all physicality involves ninety-six spacial dimensions plus time. The thirty-two spacial dimensions of one set of parallel universes involves a multiplicitly intertwined integration of a twenty-six dimensional flat sheet of space-time that is made intertwined by the kinematics of covariant homotopy, along with the six associated Njenhuis spacial dimensions that are a counterpart of the six Real Reimmanian spacial dimiensions of the D-fields of the orbifold eigensets that individually comprise electrons. This integration of a multiplicit intertwined sheet of twenty-six Real Reimmanian spacial dimensions with six Chern-Simmons based Njenhuis spacial dimensions that act as an equal and opposite Cassimer-based reaction to the Real Reimmanian spacial dimensions of an electron forms an over-riding Hilbert space that bears a homotopy that is too Lagrangian per group metric to be flat-based, since it is thirty-two dimensional spacially plus time, in the bases of volume perceived is not flat then. Since the bases of spacial dimensionality when considering the multiplicit multi-twined Mobiaty along with the field integration of the electromotive force, whose gravitational settling provides for the strong force of gluons, is not a mere translation of a steady or even a torsional integration of flat space, the bases of space-time volume must be a maximal Hilbert space per set of parallel universes, and thus, space-time is not simply based on a holographic perception of exterialized volume. The Chan-Patton rules governing the field networking of electrons to obey the Pauli Exclusion principal of adjacent electrons spinning antisymmetricly causes space to be defined as a hyperextended sheet that is torsioned in a Gliossi manner with six added dimensions in a virtual Mobiaty that envelopes to incorporate a second side and a second edge after the Laplacian "procurement" of each orbifold spacial distribution. That is why the E(8)XE(8) strings that hold orbifolds and orbifold eigensets together must also, and can only, spin antisymetrically, relative to adjacent E(8)XE(8) strings that are surrounding the same respective orbifolds and orbifold eigensets.