Some Info As To Adjacent Electrons

Electrons exist in d-fields -- of which exist in a Fourier-based manner, in at least 6 spatial dimensions plus time.  Photons exist in p-fields -- of which exist in a Fourier-based manner, in at least 10 spatial dimensions plus time.  Any hermitian-based flow of the spinning motion of a particle that would here exist in a Fourier-based manner in 6 spatial dimensions plus time, will tend to often bear a change in the sixth derivative as to the Ward-Derichlet conditions of the perturbative tense of the overall directoral-based discrete momentum, that is of that said given arbitrary respective particle.  This means that any given arbitrary electron, that is differentiating as a Hamiltonian operator in a Fourier-based manner, in such a way in so as to be of a Yau-Exact manner -- which would then be as a hermitian particle -- this will then tend to bear an overall directoral-based discrete momentum, that will then often tend to change in the sixth derivative as to the Ward-Derichlet conditions of the perturbative tense that is of that so-stated electron, over time.  When an electron undergoes the Fujikawa Coupling, which happens via the Green Function -- which is as is according to Chan-Patton rules -- it will then form a photon, and, a photon exists in a p-field -- this of which exists in a Fourier-based manner of which exists here in at least 10 spatial dimensions plus time.  Let's say that an electron is differentiating in a Fourier-based manner -- by such a means that would here work to involve, in this case, a condition of only two genre of dimensional-based tensors -- in such a manner to where a discrete increment of the kinetic energy of that so-stated given arbitrary electron, would then exist in eight spatial dimensions plus time -- immediately before it is to go through the respective said eigenmetric of the said Fujikawa Coupling, -- then, as the so-stated discrete increment of kinetic energy that is being released from the said electron, is going through the so-stated process of the respective eigenmetric of the Fujikawa Coupling, which is at that inferred general locus in the substringular in which the so-eluded-to discrete increment of quantum energy is here being converted into a photon -- there will then tend to be a binary Lagrangian-based Chern-Simons singularity, that would then be formed in the process of the said eigenmetric of the here proximal localized activity in which the Fujikawa is to here be happening at.  This process works to cause any given arbitrary respective photon -- that is formed by the process of any given arbitrary respective electron that has here just dropped an energy level -- to tend to be pulled-out of the Ward-Neumman bounds of the respective atom in which such a discrete increment of the kinetic energy of an electron is converted into a discrete quantum of electromagnetic energy.  This is indirectly why there is the Chan-Patton-based condition, that electrons that are adjacent must always bear an assymetric spin -- in order for such electrons to not totally impede upon each others space.  This latter point is the Pauli-Exclusion Principle.  I will continue with the suspense later!
Sincerely, Samuel David Roach.

Part Two of The 12th Session of Course 17 About the Ricci Scalar

When a topological entity vibrates harmonically in all of the Ward-Caucy-based physical dimensions that are given by the physical boundaries that are directly associated with the initially said entity, and the so-stated physical topological-based entity is  hermitian in both a Lagrangian-based manner and in a metrically-based manner -- while yet also only vibrating in the relative Real Reimmanian Plane, then, this works to define the said physical topological-based entity as being Yau-Exact, under the so-eluded-to duration that works to elude to the directly affiliated group metric.  Hermitian topological entities, particularly Yau-Exact ones, act in such a manner in so as to obey Chan-Patton rules -- in so long as the just stated general format of entity is moving in so as to move in accordance with a Noether-based flow, over a directly corroborative group metric.  When a topological entity, that acts in so as to obey the general premis of Chan-Patton rules, bears a topological-based sway, then, the just stated "sway" moves in so as to also be Yau-Exact -- unless there are alterior viablely affectual Njenhuis tensors that act upon the holonomic substrate of the initially mentioned topological entity.  Njenhuis tensors kinematically differentiate off of the directly affiliated relative Real Reimmanian Plane, although these so-stated Njenhuis tensors will still work to allow a topological entity -- that these act upon in a Yakawa manner -- to vibrate harmonically per iteration of group related instanton, and thus bear a correlative attribute of working to obey Chan-Patton rules.  Any non-kinematic-based perturbation that physically bears an unsmooth Lagrangian-based topology is not completely hermitian, and thus, does not directly refer to the correlative existence of Yau-Exact substringular phenomenology in this case.
I will continue with the suspense later!  To Be Continued!!!  Sincerely, Sam Roach.

Part Two of the Test Questions to the Last Test of Course 16

1B)  Describe Chan-Patton rules that appertain to superstrings.

2B)  Describe Chan-Patton rules that appertain to world-sheets.

3B)  Describe perturbation that appertains to the formation of tachyons.

4B)  What is the difference between a Yang-Mills topology and a Kaluza-Klein topology?

5B)  What is a Kaeler Metric?  Give an example.

6B)  What is a Calabi Metric?  Give an example.

7B)  Give a good example of a medium in which a Calabi Metric may happen.

8B)  Describe the Noether current thoroughly.

9B)  Explain the relationship that exists between the Noether current and the presence of Lorentz-Four-Contractions.

10B) Clearly explain how the light-cone-gauge effects the Noether current

FTAAN, Session 14

For the one-dimensional mass of an electron, the superstrings involved are one-dimensional superstrings. The given superstrings are vibrating strands. Anything that has mass has a degree of conformal invariance. Anything that has mass has a sense of Yau-Exact condition. Yau-Exact conditions are conditions of a superstringular phenomena being hermitian and non-perturbative. A condition of mass or a condition of Yau-Exact conditions generally is a situation in which the superstrings that comprise the mass are not superconformal. These conditions of conformal invariance that are not superconformal involves a kinematic tense of superstrings that, besides the given kinematism, obey simailar locus to that of superconformal invariance. Let us consider the motion and conformalism of one-dimensional superstrings that are conformally invariant even though these are not superconformally invariant. A one-dimensional superstring arbitrarily exists as a component of the mass of an electron. The given one-dimensional superstring is moving kinematically in a spin-orbital, radial, and transversal directoralization. The whole electron as a unit, given its charge, relative to the protons of the nucleus is moving in a spin-orbital, radial, and transversal fashion. The given one-dimensional superstring is Yau-Exact. The given superstring, in and of itself, is conformally invariant in spite of the motion of its corresponding electron as a unit. The given one-dimensional superstring begins is a norm position relative to the holomorphic direction. Relative to the polarized holomorphism, the given superstring angles to the left at the next iteration. The given superstring then angle to the straight at the next iteration. The given superstring then angles to the right at the next iteration. The given superstring then angles polar norm (straight) at the next iteration. The given superstring then angles holomorphically at the next iteration. It then angles polar norm (straight) at the next iteration. It then angles antiholomorphically at the next iteration. It then angles polar norm at the base and top relative to the holomorphic position (straight) at the next iteration. This ninth iteration begins the second series of this associated sequence of superconformal invariance. In the meanwhile, the eletron's string here (one of 511,000 superstrings related to the mass of an electron) will propagate transversally spin-orbitally, and radially as the electron differentiates as a charged unit. This will continue until the given electron is electrodynamically, or otherwise physically, perturbated. So, an electron as a unit may often be conformally invariant in terms of its transversal momentum, while the electron as a unit may undergo the described spin-orbital/radial superconformal invariance at the same time, as long as the superstrings of the given electron are then all obeying Chan-Patton rules. llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll