Part Three of Session 8 of Course 19 -- The Klein Bottle and Orbifold Differentiaton

Let us say that one were to double supremumize a postulative sphere,  -- that worked to bear an initially added spatial parameter of dimensinoality, that would here be of a radial-axion-based manner.  Let us than say that one were to double supremumize a postulative sphere -- that worked to bear an initially added spatial parameter of dimensionalilty, that would here be of an orbital-axion-based manner.  Let us then say that one were to then double supremumize a postulative sphere -- that worked to bear an initially added spatial parameter of dimensionality, that would here be of a transversel-axion-based manner.  A supremum works to add three spatial dimensions to an extrapolated phenomenology.  So, a double supremumization works to add six spatial dimensions to an extrapolaed phenonology. Let us now consider a postulative integration of all three of theses ten dimensional spaces -- these spatial parameters of dimensionality, of which would here work to involve a Hodge-based adding of all of the resultant dimensional-based indices, as in the form of a compactification of all of the directoral-based topological sways that would here be necessary, in so as to work to form a potential extrapolation of an orbifold that would then be existent in a Fourier-based manner in 30 spatial dimensions plus time -- in any kinematic-based setting in which such a so-eluded-to extrapolation of an orbifold would then be moving through a discrete Lagrangian, through its here directly corresponding Hamiltonian operand, over the respective given arbitrary time period in which such an eluded-to extrapolation of a respective given arbitrary set of superstrings that operate in so as to perform one specific function would exist as such.  Now, let us say that a perturbative substringular force were to form a then resultant exterial tensoric topological sway -- that would then work to pull as a Minkowski-based Njenhuis wave-tug-wave-pull, that would cause a torsional-based rocking of the initially so-stated 30 spatial dimension-related extrapolated orbifold-based phenomenology. -- as the said orbifold that I have here denoted as potentially existent, would be moving in time and space, through a then resultant Njenhuis Hamiltonian operand that would work to bear a Doubolt cohomology -- that would then be spontaneously existent in the relatively proximal field that is of the directly corresponding Majorana-Weyl-based field, that would be directly related to the relatively locally cyclically permutative indices, over time. The then resultant Fourier-based covariant, codeterminable, and codifferentiable space -- that would directly appertain to the correlative Ward-Caucy conditions of the combined existence and motion of the so-eluded-to orbifold eigenset of this given arbitrary case -- that would then work to involve a 32 spatial parameter-based dimensionality, over the correlative successive series of group-related instantons, in which such a said orbifold eigenset would be functionable as I have here described.  This here eludes-to the condition -- that an individual set of parallel universes works to involve a realm of 32 spatial dimensions plus time.  (A spatial dimension is Not to be directly confused with a layer of reality or a parallel universe.)  This would here correspond to the condition -- that an individual set of parallel universes works to bear an overall Minkowski space of a total of 26 spatial dimensions plus time, plus, an additional 6 Njenhuis-based dimensions, of which works in so as to complete the  "second-side, second-edge" of the Mobiaty of space-time phenomenology.  This works to make space-time-fabric of more of a volumed space than of a flat space, as the fabric of space and time is completed in its Laplacian-based flow, over time.  To Be Continued!  Sincerely, Sam Roach.