Monday, May 21, 2018

Spinors And Dilatinos

Take the expression for the euclidean expansion, that is of any one given arbitrary Majorana-Weyl-Invariant-Spinor eigenstate -- that is of cotangent bundle R4.  This just mentioned expression -- of which is here to be in terms of its scalar amplitude, is here to be considered when this is coupled while from within the framework of its directoral-related conditions.  The respective externalized reference-frame, via which this said eigenstate that is spinning in a back-and-forth manner at an internal reference-frame -- is here to be, as well, propagating through a Lagrangian-based path in a kinematic manner, via a Fourier Transform as a Hamiltonian operator, in a transversal manner, over time.  Now -- couple the said expression for the euclidean expression of the said spinor, with both the brief time that it is propagating through as it is traveling (as is it is spinning) along the course of its said Lagrangian-based path, AND a pointal-related mass, AND the average angle that the here mentioned spinor is to be spinning in a back-and-forth manner through, as it is spinning via a central coniaxial.  At this point in derivation -- the just eluded-to metric-gauge-related pulsation per cubic directoral-based meter -- that is here to be resulted in, may be thought of as a dilatino.  The consideration of meter that I have mentioned here, is generally to be conveyed, via the usage of the correlative Hodge-based indices that are of any one respective given arbitrary case. Such so-eluded-to Hodge-Indices, are to directly correspond to the correlative litigee of directorals, that are here to be most applicable to the coherent Ward-Cauchy-related situation of such a general genus of a case.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

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