The Polyakov Action/Lorentz-Four-Contractions -- The i*PI(del) Action -- Noether-Related Symmetry

 The kinematic operation of the i*Pi(del) Action, in covariant interdependence with the kinematic operation of the Polyakov Action, (or, inversely speaking, in interdependence with the kinematic physical attribute, of the correlative respective Lorentz-Four-Contractions), works to help the multiplicity, of those directly associated mass-bearing proximal local Hamiltonian Operators, that are here to be traveling at under light speed, to tend to be facilitated at working to be able to better express, the general physical attribute, of a metrically covariant tense, of what may be thought of as being the general condition, of a correlative respective tense, of Noether-Based symmetry. SINCERELY, SAMUEL ROACH.(1989).

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.