Saturday, February 6, 2016

Clifford Expansions -- The General Gist Of It

Let us here consider two different distinct given arbitrary orbifold eigensets, that begin to exist at a relatively adjacent proximal localization -- to where both of these said orbifold eigensets are initially existing in a tense of Majorana-Weyl-Invariance -- over an initial relatively transient duration of a sequential series of group-related instantons.  Let us next say that the two respective given arbitrary different distinct orbifold eigensets of such a case, are perturbated out of their initial covariant-based condition of Majorana-Weyl-Invariance -- to where the two initially so-stated orbifold eigensets are to here go from being of a proximal localized nature, in so as to being of Laplacian-based adjacent manner, into going into a divergence that happens in so as to increase the scalar amplitude as to the relative substringular distance that is to now exist between and among the two said orbifold eigensets, over a set duration of time.  Let us say, that, in the process of the so-eluded-to Cevita interaction that is to operate as a gauge-metrical Hamiltonian operator or operation -- in so as to work at causing the two so-eluded-to metrical-gauge-based Hamiltonian operators, that exist as the holonomic substrate of two distinct given arbitrary orbifold eigensets, to diverge in a space-wise manner over time -- this will happen to where the Lagrangian-based path that may be mapped-out here, in so as to work to show the manner as to how the two said metrical-gauge-based Hamiltonian operators are to move through their respective individually taken distinctly different Hamiltonian operands, to where this is to happen in both cases when taken individually as a hyperbolic path of an euler-based divergence in space, over a euclidean-based time-frame.  This general manner of divergence, is one genus as to what a Clifford Expansion of covariant localization may be -- when this is taken in consideration as to the relative divergence of two different distinct metrical-gauge-based Hamiltonian operators -- that are brought into a tense of separation, that may be mapped-out in a Laplacian-based manner, after the two said Hamiltonian operators (in this case, the two said orbifold eigensets) have differentiated in a Fourier-based manner, in so as to have gone through a relatively viable tense of both a transversal and a viable tense of a spin-orbital particle and wave-based sequential series of motions through time and space.

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