Let us initially consider a Hamiltonian operator -- such as in the case as to having a situation, in which there is here to be one given arbitrary respective orbifold eigenset -- that is then to be under consideration. Let us next consider what the energy of the Lagrangian of this operator is here to be, -- as in comparison with what the energy of the holonomic substrate of this same operator is here to be. The here considered Lagrangian-based tense of energy, will then tend to work to bear a scalar amplitude, of which will be equal to (-i) times the scalar amplitude of the here considered tense of energy of the holonomic substrate -- that is of the self-same Hamiltonian operator. Consequently -- if one were to initially to take both the individually taken Lagrangian-based tense of energy of the said Hamiltonian operator And the respective holonomic substrate-based tense of energy of the identical Hamiltonian operator, as two distinct unitary multiplets, -- while then taking and comparing the resultant of the quaternions of both of these said multiplets, in so as then to work to compare the resultant scalar amplitudes of these two said tenses of energy -- that are of the same Hamiltonian operator, -- the magnitude of the scalar amplitude of each of these individually taken tenses of energy, that are of these two different said respective tenses of the same Hamiltonian operator, will then tend to be of the same value.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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