Thursday, April 15, 2021

Automorphism -- Homomorphism -- Isotropic Stability -- Group Action

 When the given arbitrary behaviors, of all of those given arbitrary superstrings of discrete energy permittivity, that are here to work to comprise the respective net gauged activity, that is here to be of the directly associated cohesive set of discrete energy quanta, that such inferred individually taken superstrings, are thence to act together in unison as a "team," in so as to kinematically "animate" the group action, that is of the respective inferred overall set of discrete energy quanta, -- are thence to display the exhibition of the same given arbitrary genus, of a respective relativistic distinct tense of automorphic qualities; then, -- it consequently will tend to follow, that the earlier stated cohesive group, of such inferred discrete energy eigenstates, will thereby consequently tend to smoothly act in unison, as a homomorphic manifold of topological substrate, when this is to be considered as that respective given arbitrary group action, that is here to be exhibited, via the general processes of the gauged-action, that is to tend to be exhibited by the Lagrangian-based motion, of the kinematic overall isotropically stable holonomic spatial translation, that is of the inferred Hamiltonian Operator, of this particular case here.  SAMUEL ROACH. (1989).

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