Nature Of Lagrangian-Based Paths And Conservation Of Homotopic Residue

 When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a unitary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a unitary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a binary Lagrangian-based path -- then, each correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work to bear a binary directoral. When an accelerating mass-bearing cohesive set of discrete energy quanta, is here to be spatially transferred -- via a tertiary Lagrangian-based path -- then, each  correlative individually taken dimensional-related variable, that is here to work to help in describing the nature of the directly corresponding homotopic residue, that is here to tend to be conserved, will consequently tend to work bear a tertiary directoral; etc... . To Be Continued! Sincerely,  SAMUEL DAVID ROACH. (1989).