Contorting Trivially Isometric Lagrangian-Based Planes

 Let us initially say, that one is here to be considering the Lagrangian-based planes, that are to be directly appertaining, to the topological stratum of two different respective Hamiltonian Operators. Let us say, that the directly associated Lagrangian-based planes, that are here to be of these two different inferred sets of discrete energy quanta, are to work to bear the geometric condition of a covariant trivially isometric nature, when this is here to be taken in a respective relationship to one another. Let us next say, in this particular given arbitrary respective case, that these two different mentioned Lagrangian-based planes, are able to contort, with basically no probability of withstanding a viable geometric perturbation in their morphological permeability. These will thereby consequently tend to work to bear a higher probability of either colliding, Or, at least interfering with each other's core-field-density, than if the two different inferred Lagrangian-based paths, that are here to be of the motion of the two different said respective  Hamiltonian Operators, were, instead, to bear a covariant non trivially isometric nature, when this is here to be taken in a respective relationship  to one another. Sincerely, SAM ROACH.

Part Two Of Field Genus And Holomorphic Direction

In so long as there are no external anomalous forces that are here to be applied in a viable Yukawa manner to either an f-field, a d-field, or a p-field, -- an f-field will generally bear a high expectation value of working to bear its respective set of potential holomorphic directoral tendencies, a d-field will generally bear a high expectation value of working as well to bear its respective set of potential holomorphic directoral tendencies, and a p-field will generally bear a high expectation value of working as well to bear its respective set of potential holomorphic directoral tendencies.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.