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.