Saturday, January 23, 2016

What A Hamiltonian Operation Is

Let's say that one were to have an orbifold eigenset, that consisted of multiple orbifolds.  Let us now say that the said orbifold eigenset were to be differentiating in a Fourier-based manner through a discrete Lagrangian.  Let us next consider each individual orbifold that were here to work to comprise the so-stated eigenset of orbifolds -- to be of a different respective genus of superstringular vibration at the Poincare level of the individual superstrings of discrete energy permittivity, that works to comprise the discrete energy quanta that are put together in so as to work to form the said orbifold eigenset.  Le us then call each individually taken genus of superstring that bears a different Gliosis-based oscillation from the others -- or, in other words, let us then call each of the individually taken orbifolds that work to comprise the so-stated orbifold eigenset, a different symbol.  Although the overall orbifold eigenset of such a case may here be considered as a Hamiltonian operator -- each individually taken orbifold that works to comprise the said operator, may be here termed of as an eigenmember of the so-stated Hamiltonian operator.  Next -- take the scalar amplitude/scalar magnitude-based Hodge-Index of each individually taken eigenmember that I have here eluded-to, and put this into a mathematical format by which it will be worked upon as an eigenbasis.  If the orbifold eigenset as a whole works to bear an even chirality amongst its constituent members, then, fill-in the "Jacobian eigenbasis" with 1s ("ones") -- in so as to treat this now as a determinant that may then be solved for.  Yet, if the orbifold eigenset as a whole works to bear an odd chirality amongst its constituent members, then, fill-in the "Jacobian eigebasis" with 0s (zeros) -- in so as to treat this now as a determinant that may then be solved for.  The resultant multiplets will then be the directoral-based scalar amplitude or scalar magnitude of the delineatory index of the correlative Hamiltonian operation.  I will continue with the suspense later!
To Be Continued!  Sincerely, Sam Roach.

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