The Last Part of the Second Session of Course 16

When electromagnetic energy quantizes, a certain degree of what was a Doubolt cohomology due to the physical memory of scattered photons -- works to redefine a quantitative Rham-like cohomology, when in terms of a lack of Lagrange-based Chern-Simmons singularities.  The latter mentioned condition is due to the fact that light, or, electromagnetic energy, tends to go in what appears to be straight in a vacuum.  (Light tends to only bear metrical-based singularities over time.  Yet, if a beam of light were to be an   harmonically perturbed at two or more covariant axials simultaneously, then, such electromagnetic energy that was initially quantized will also bear Lagrange-based Chern-Simmons singularities -- that are directly affiliated with the corresponding given arbitrary p-field eigenlocus that is here being enharmonically perturbated.  Such coniaxial entities that work to comprise the Ward-Caucy bounds of what is here the holonomic substrate of a photon that here works to quantize into a beam of electromagnetic energy work to define the mapping-out of the premise of both the existence and the motion of the given photon that we are here discussing as being a partial discrete increment of a beam of light that is being propagated over time.  The coniaxial-based anharmonic perturbation of a local field of electromagnetic energy is known of a a Tesla effect.  When a beam of electromagnetic energy is perturbating, the electrical field cohomology tends to be more Rham in nature than its directly associated magnetic field, and, when such a perturbation of the here given arbitrary electromagnetic field is happing, the magnetic field tends to be more of a Doubolt cohomology in nature than that of the directly associated electrical field.  This is if the scattering that is here taking place bears no Njenhuis Hamiltonian-based tensors that are being applied in an abelian manner to the said given arbitrary beam of light.  This also goes for fractals of such indices of an electric field, and, this also goes for fractals of such indices of a magnetic field.  The fractals of electric field, and, the fractals of magnetic field that here appertain to the existence and motion of superstringular phenomena are eigenstates that kinematically operate in the substringular in so as to provide for both the respective Hamiltonian-based permittivity and the Hamiltonian-based impedance of discrete energy -- that exists in the multiplicity arrangements of the respective substringular eigenstates.  The fluctuations of both the electric field and the magnetic field of any extrapolation of electromagnetic energy that may be worked with, in one way or another, as well as the fractals of these said holonomic substrates -- in the form of the interactions of the angular momentum of superstrings with the spin-orbital momentum of their respective Fadeev-Popov-Traces -- works to form a multiplicity physical memory of the pseudo-pulsation that allows for the actual functioning of Hamiltonian operations.  This physical memory tends to take the shape of the traceable mapping of ghost anomaly indices that are of a Doubolt nature.  This is  due to the condition that the orthogonal torque of a basis of substringular momentum with the basis of sustringular spin-orbital momentum works to form orthogonal Hamiltonian operations that are primordially local to each other, in so that there is then here an almost certain chance of Chern-Simmons singularities that are basically Gliossi at the Poincaire level of discrete substringular units of energy.  The angular momentum dynamics of an electromagnetic fluctuation is strictly Rham in nature, since this said fluctuation is propelled by what tends to be a kinematically differentiating normalized set of indices -- that linearly project in a relatively straight trajectory (based upon the natural curvature of space-time-fabric, yet, not as straight as a Wilson Line.)  The projection of electromagnetic energy -- although relatively straight, bears a fluctuation that works to form metrical-based Chern-Simmons singularities.    This  makes light, or, electromagnetic energy, the basis of both Rham and Doubolt cohomology.  The source of the change of rate of the pulsation of a photon is due to the interaction of the fractal of its electric field with the fractal of its magnetic field.  The manner of this alteration of pulse works to form the wavelength of electromagnetic energy.  To Be Continued.  Samuel David Roach