Orbifolds come in many different shapes and sizes. Orbifolds may have permutations in many different shapes and sizes. Orbifolds permutations may exist in many different loci of the orbifold, and these said permutations may exist to many various degrees of Hodge-based Volume -- when in terms of the number of permutations in any given arbitrary orbifold. An orbifold is not a static thing. An orbiofold exists as a specific entity during one iteration of group instanton. After a set number of iterations, an orbifold may exist as a different entity with different kernels, different directly associated substringular neighborhoods, and having a different shape and size than it may arbitrarily have in one particular iteration of instanton. After a set number of iterations of instantons, an orbifold may have a different number of permutations. After a set number of iterations of instanton, a given said orbifold may also have a relocalization of its directly corresponding permutations. After a set number of iterations of instanton, an orbifold may also have a different sizes and shapes to its corelative permutations. Also, an orbifold -- over a Fourier Transformation -- have an alteration in the shapes and sizes to its directly corresponding kernels. Over a Fourier Transformation, a given arbitrary orbifold may have a perturbation in the shape and size of its directly corresponding substringular neighborhood that it iterates in locally over the course of the duration in which such a given arbitrary orbifold exists from within the mentioned given substringular neighborhood. What I mean by a set number of iterations of group instanton is a sequential series of iterations as to when the said given arbitrary orbifolds works to transform the multi-dimensional structure of a set of space-time-phenomena, when in terms of its corresponding fractal of magnetic field integrative indices. An orbifold is thus the multi-dimensional structure of a set of space-time-related phenomena that involves both a fractal of a magnetic field and a fractal of electric field -- mainly of a fractal of magnetic field, in which the superstrings that comprise the said phenomenon that I term of as an orbifold work together in so as to form a discrete space. So, as space-time phenomena differentiate over time, the fractals of magnetic fields of the corresponding space that is involved with the correlative multi-dimensional structures that work to comprise the related orbifolds codifferentiate with the prior mentioned phenomena. As the fractals of the magnetic fields of the just mentioned orbifolds differentiates over time, the multi-dimensional structures that operate as discrete spaces that comprise space-time-fabric act in a covaraint manner so that the various spaces that work upon each other may do the previously mentioned general format of codifferentiation. The fractals of magnetism that work to comprise part of the basis of the composition of the related given arbitrary orbifolds thus differentiate kinematically over time in the process of the kinematic differentiation of space-time-fabric over time. So, in so long as magnetism differentiates over time -- this condition of which happens in so long as there is space-time-fabric -- the fractals of magnetism that work to comprise the spin-orbital Fourier-based codifferentiation that is involved with the kinematic interaction of orbifolds with one another will transpire so that the various spaces that discretely demonstrate the interaction of groups of substringular phenomena that act as a group to perform their given arbitrary operations will here always exist as well. Again, orbifolds are structures that act as groups of superstrings that work together to perform a discrete physical function. The corresponding spin-orbital interactions of orbifolds work to form those fractals of magnetism that works to form the foundation of actual discrete magnetism. Those fractals of electrical field that correspond to the existence and the activities of orbifolds would then be the covariant inter-relationships that exist among the angular momentum indices of the mentioned various orbifolds as these kinematically inter-relate codifferentiably over time. The condition as to what orbifolds exist where, and the condition as to how the said orbifolds inter-relate -- alters over time as space-time-fabric covariantly codifferentiates over those kinematic changes that happen over time. Space-Time changes that may work to alter the conditions of orbifolds also involve the changes in inter-relationships that are due to the relative changes in covariant displacements that may here involve different Laplacian-based relationships. Kinematic inter-relationships involve the resultant changes that work to describe the various covariant, codeterminable, and codifferentiable conditions that involve the workings of the various said orbifolds relative to one another via time -- (over the process of the successive series of group instantons that happen over any given arbitrary correlative Fourier Transfomations.)
I will continue with part two of this session later! Please be patient for the suspense. Sam Roach.
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