The Third Part of the Fourth Session of Course 16

Ghost anomalies build up when the norm conditions of superstrings do not force these to cancel via the Gaussian geometry of the Planck-like phenomena and the superstrings that exist in any viable given arbitrary region. When the Gaussian norm conditions of the superstringular phenomena cause the directly corresponding ghost anomalies to cancel, the relatively reverse-holomorphic norm-states smoothly build up in an exponential manner just as the relatively forward-holomorpohic norm-states diminish in an exponentially smooth manner.  This is as there is, in a hermitian anharmonic scattering of ghost anomalies, a euclidean-based deterence of ghost anomalies -- as the directly corresponding mappable tracing that is comprised of a harmonic scattering of relatively forward-holomorphic-based norm-states is elliminated, as a physically emminant entity, in a relatively homogeneous manner in this given arbitrary case scenario. Yet, often, the scattering of ghost anomalies -- via an anharmonic ellimination of the physical memory as to the existence and the differentiation of superstrings -- happens in a more perturbative manner, particularly when the motion of the directly corresponding superstrings that works to form such a sequential series of traceable mapping, is pulled-out from a Noether-based flow into a tachyonic-based flow.  When what I have just mentioned happens, there tends to be more of a tendency for the formation of Chern-Simmons singularities in the mappable regions in which tachyonic flow is activated.   So, as superstrings go from a Noether-based flow into a tachyonic-based flow, the Chern-Simmons-based singularities that are thus formed work to form a lack of symmetry in the cyclic permutations that these directly corresponding superstrings imbue upon the norm-states that these harmonically scatter upon in a Gliossi manner, as the eluded to forward-holomorphic norm-states form the eluded to ghost anomalies.  Such a genus of anharmonic cyclic permutation that still involves a harmonic genus of Yakawa wave-tug/wave-pull often works to form a Clifford Expansion in the surrounding loci as to where the superstrings have perturbated in terms of their format of substringular flow.  This eluded to divergence in euler-based format that  involves a ghost-based "dominoe effect" tends to converge, when there are ghost inhibitors that work to supplement the format of Expansion in so as to work to bring the corelative spatial mappings into a tendancy of most rest.  This works to allow for the general tendancy of Noether-based flow.  Such a convergent group operation, that may be applied in so as to ease a relatively divergent Hamiltonian cohomological operation, may be viewed of as a Dirac operation that works in the direction of hermicity.  When there is entropy being formed, there are gauge-transformatons.  When there are gauge-transformations, the scattering of ghost anomalies by the anharmonic reverse-holomorphic norm-state projections will here involve what may be called a Calabi Manifold.  Whenever there is an antiholomorphc Kaeler condition that is involved with the scattering of ghost anomalies that has any direct relationship with the scattering of electromagnetic energy, such a scattering involves such a Calabi Manifold. I will continue with the suspense later!  To Be Continued. Sincerely, Samuel David Roach.