Chern-Simons Invariants -- Charged Mass-Bearing Cohesive Set Of Discrete Energy Quanta

 Let us initially consider a charged mass-Bearing cohesive set of discrete energy quanta, that is here to be moving through a discrete Lagrangian, over a proscribed given arbitrary duration of time. Since such an inferred "team" of energy, is here to be electrodynamicly charged, there is thence to be a spin-orbital-related characteristic, directly associated with the cohesive motion of such a stated set of energy quanta. This will thereby tend to indicate, that the directions of the individually taken superstrings, (of which are here to tend to bear a covariant delineation, along the external shell of such an inferred "team" of energy) are often to tend to bear a tense of a constant covariant alteration -- as the stated cohesive set of energy, is to bear a spin-orbital tense of rotational motion, over the earlier stated proscribed duration of time. Since the specific direction of the individually taken superstrings, of such a charged "team" of energy, is thence to often tend to alter, relative to light (even though the actual scalar amplitude of the Lorentz-Four-Contraction of each of such stated superstrings, is to be of the same magnitude -- in spite of the physical condition, that the specific morphological contour of such said superstrings, will tend to not all be of precisely the same identical shape), there will consequently be differences, amongst such said strings, in their specific velocities (because; since velocity is speed in a Direction -- it follows, that even if the speed is the Same, and, if there is a direction-related change, there is here to consequently be a change in velocity), there will consequently be the resultant physical condition, of the general reductional characteristic, of what are known of, as being "Chern-Simons Invariants." So; even though the said mass-bearing cohesive set of discrete energy quanta, As A Whole, is here to often be maintaining the same type of a velocity, -- the individually taken strings that work to comprise it, will often Not be maintaining identical velocities -- since the successive series of their directional flow, will not necessary work to bear the same delineation-related flow. This often needs to be taken into account of, -- when working to consider the mapping-out, of certain types of superstring-related boundary conditions. Sincerely, SAMUEL ROACH. (1989).