Chern-Simons Invariance -- Gauge-Invariance

 A given arbitrary discrete quantum of energy, is to tend to work to bear the general proximal local  characteristic, of what may here to be considered as being the Ward-Cauchy-related condition of Chern-Simon Invariance, -- when such a said discrete quantum of energy, is here to also work to bear the general proximal local characteristic, of what may here to be considered, as being the Ward-Cauchy-related condition of gauge-invariance. The general physical characteristic of Chern-Simons Invariance, is only of a heuristic manner of exemplification, when the directly associated discrete quantum of energy, is to be in the process of displaying both a constant rate of spatial translation,And, a constant direction of projected trajectory, as this is here to be taken, When in its covariant relationship with the motion of electromagnetic energy. Likewise; the general physical characteristic of Gauge-Invariance, is only of a heuristic manner of exemplification, when the directly associated discrete quantum of energy, is to be in the process of displaying both a constant rate of spatial translation, And, a constant direction of projected trajectory, as this is here to be taken, When in its covariant relationship with the motion of electromagnetic energy. So; whenever a Noether-based discrete quantum of energy, is to alter in either its speed and/or in its direction, in its relationship with electromagnetic energy, -- such a said quantum of energy, is then to alter out of the general Ward-Cauchy condition of gauge-invariance, -- to where its initial condition of Chern-Simons Invariance, is thereby to become variant in the process. To conclude: Both the physical condition of Gauge-Invariance, And, the physical condition of Chern-Simons Invariance, are only heuristically as such, as a given arbitrary directly corresponding cohesive set of discrete energy quantum, that is here to be in the process of being taken into consideration, is to be maintaining both the same rate of speed, And, a constant direction of its projected trajectory, when this is here to be considered, in its relation to the motion of electromagnetic energy. I will continued with the suspense later! To Be Continued! Sincerely, Samuel David Roach. (1989).