Wednesday, September 30, 2015

The Third Part of Session 10 of Course 19 -- The Klein Bottle and Orbifold Differentiation

If any given arbitrary sub-atomic particle acts as an orbifold eigenset, that works to bear a core-field-density via its respective Laplacian Transformation -- that exists as an F-field, in time and space -- then, if the directly corresponding spatial parameters of dimensionality that work to bear both a respective given arbitrary length, width, thickness, plus a Njenhuis tensoric spatial parameter of dimensionality -- that is correlative to an orbital-based coniaxion, then, there will resultantly tend to be no added Njenhuis tensoric spatial parameters of dimensionality --  that would otherwise be respectively corresponding to either: an added Gliossi-oriented spin-based coniaxion upon the holonomic substrate of the said F-field at the Poincaire level, an added Gliossi-oriented radial-based coniaxion upon the holonomic substrate of the said F-field at the Poincaire level , nor, would there be a respective corresponding added Gliossi-oriented transversel-based coniaxion upon the holonomic substrate of the said F-field at the Poincaire level, each of which would then act (as I have said, if this were Not directly of the nature of an F-field) in so as to behave as an individually taken Njenhuis tensoric spatial parameter of dimensionality, in time and space.  This is because of the respective given arbitrary situation, in this case, that we are dealing with a postulative F-field, and, an F-field only works to describe a Laplacian-based sub-atomic field that would tend to directly involve four spatial parameters of dimensionality -- over the course of the said Laplacian-based set of conditions. Yet, if one were to consider the said orbifold eigenset as, instead, differentiating over a Fourier-based transformation, over time, then, if the so-stated orbifold eigenset were to move into a perturbative environment, that would then involve an overt alteration in its Gausssian-based eigenbase of the index of its correlative Majorana-Weyl-Invariant-Mode -- then, the so-mentioned F-field would then possibley be moving through a Lagrangian, in the process of the holonomic substrate of the said F-field acting as a Hamiltonian operator moving through its correlative Hamiltonian operand, work to bear an external decompactification of spatial dimensionality -- that would then help the said F-field to bear a potential spatial orientation with either a spinor-based coniaxion, a radial-based coniaxion, and/or a transversel-based coniaxion -- as the so-stated F-field is to move in a kinematic manner, over time.  Such coniaxions that I have just mentioned, may be thought of as a tense of cyclic permutative indices of decompactification.  Yet, the Poincaire-based presence of such permutative indices would theoretically be of a relatively transient nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

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