Part Three of Session Five of Course 19 -- The Klein Bottle and Orbifold Differentiation

Orbifolds come together or integrate -- in terms of the correlative Gaussian symmetry-based norm conditions, in so that these may work to form what primarily amounts to either a fractal of a magnetic field, or, a discrete magnetic field -- the initially stated so-eluded-to premise of which would amount to being of a relatively small Hodge-based index of a scalar magnitude of a fractal of quantum-based magnetism.  So, if one were to here consider one set of orbifolds or an orbifold eigenset -- the inter-relations that would here work to involve the Gaussian symmetry-based norm conditions of that so-stated orbifold eigenset, would work to form what primarily amounts to either a fractal of discrete magnetism, or, a relatively small quantum of discrete magnetism itself.  The conditions that would here work to help determine whether or not the said respective given arbitrary orbifold eigenset would here work to amount to either a fractal of discrete magnetism, or, a small quantum "package" of discrete magnetism, would then here be involved with the quantum of both the scalar amplitude of the Hamiltonian operator and the Hamiltonian operation that is in question, and, the Hodge-Index that would here be pertinent to the both the amount of orbifolds that would here be involved & the size of the directly corresponding orbifolds that would here be working to comprise the so-stated respective given arbitrary orbifold eigenset in question.  Such a magnetic-based operation of tendency is particle-wise primarily involved with the integration of the respective given arbitrary Fadeev-Popov-Trace eigenstates -- that are directly corresponding to the said orbifold eigensets in question, and such a magnetic -based operation of tendency is wave-wise primarily involved with the integration of the respective given arbitrary first-ordered light-cone-gauge eigenstates -- that are directly corresponding to the said orbifold eigensets in question.  This is due to the condition that magnetism is primarily involved with the fluctuation of discrete energy impedance.  The superstrings and their correlative counterstrings work to form the respective particle-based discrete energy permittivity and the respective wave-based discrete energy permittivity.  This is due to the condition that the orbifold-based integration of superstrings and their counterstrings work to form both the existence and the activity of the angular momentum of the Hamiltonian operation of an orbifold eigenset, over time.  So, the Fadeev-Popov-Trace eigenstates and their correlative first-ordered light-cone-gauge eigenstates of an orbifold work to form a fractal of a magnetic field, and, the superstrings and their correlative counterstrings work to form a fractal of an electric field.  Voltage is energy per charge, and thus, the fractal of a magnetic field may exist with the consideration of the integration of potentially as few as two consecutive group-related instantons -- whereas, current is charge per time, and thus, a fractal of an electric field needs to then involve a succession of considerabley more consecutive group-related instantons.  To Be Continued!  Sincerely, Sam Roach.