Part One of Session Five of Course 19 -- The Klein Bottle and Orbifold Differentation

An orbifold is a manifold of a group of superstrings, that operate in so as to perform one specific function.  An orbifold eigenset is a group of one or more orbifolds, that operate in so as to perform one specific function.  The  spin-orbital Hamiltonian-based wave-tug/wave-pull of an orbifold, works in so as to act as a quantum fractal of magnetic force -- as such a quantum index of spin-orbital Hamiltonian operation acts in a discrete manner, through a Ward-Caucy-based Lagrangian, over a successive series of group-related instantons.  The quantum tense of the Hamiltonian-based operation, of one of any given arbitrary kinematic-based orbifold eigensets -- that is both codifffereniable, codeterminable, and covariant, upon the holonomic substrate of what acts here as the Hamiltonian-based operand, that the said orbifold eigenset is acting through -- may be expressed as a discrete and integrable set of substringular members, that behave here as a fractal of a tense of a quantum of magnetic-based eigenstates.  These so-stated members, of which may come together in a discrete manner -- in so as to work to form a discrete and viable tense of an actual Real Reimmanian-based magnetism, over time.  It is this magnetic-based interaction, of any respective given arbitrary orbifold eigenset -- of which works to help to cause that needed propagation of the so-eluded-to set of supestrings, that come together in so as to do one needed substringular operation, in so as to work at forming the needed impedance -- via the directly corresponding light-cone-gauge quantization, that is taken in a discrete manner.  This happens, in so as to tend to work to allow for the continued motion of energy.  This, as well, happens, in so as to help in the process of energy to persist as being energy, in and of itself.  The needed angular momentum of the so-stated orbifold eigenset, works in so as to help create the needed fractal of an electrical field -- which is utilized in such a manner, that acts as a discrete operation -- that is above the Poincaire level, of a discrete operation of superstrings that are of discrete energy permittivity, -- while yet acting as a fractal of an electric field,  that is below the Poincaire level of any given arbitrary actual discrete electric charge.  This is due to the condition, that the angular momentum of any respective given arbitrary orbifold eigenset -- works to help form a quantum of a fractal of discrete energy permitttivity.  To Be Continued!  Sincerely, Sam Roach.