Conclusion To Derivation -- Importance -- Conservation Of Homotopic Residue

 So, to conclude; Suppose a cohesive mass-bearing set of discrete energy quanta, is to alter in its direction and/or in its relative rate of wave-tug, when in its relation to the motion of electromagnetic energy. This works to help in causing a change in the dimensional-related pulsation, that is of the inferred set of discrete energy. (Thereby working at causing it to have, at each locus in which such an alteration is to occur, the proximal local presence of a metric-related Chern-Simons singularity.) The residual externalized dispensation, that is here to be incurred, at the moment of each of such changes in dimensional-related pulsation, is to work to form the need for an alteration, in the relative differential geometrical-positioning/quantity, that is of those composite partition-based discrepancies, that are here to be delineated in its distribution, along the correlative topological surface, of the directly corresponding superstrings/counter strings of discrete energy permittivity, that are here to work to make-up, the said cohesive mass-bearing set of discrete energy quanta in question. Yet, in order for Casimir Invariance to be maintained, (which is necessary, in order for the net webbing of superstring-related  phenomenology, to be interconnected by field), the total number of such partition-based discrepancies, per each Noether-based mass-bearing cohesive set of discrete energy quanta, for the specific genus of holonomic substrate, that such an inferred type of a Hamiltonian Operator is here to be exhibiting, at a theoretical rest-mass, must thereby tend to mathematically work to bear a certain theoretical Hodge-Index of discrete energy, at such a stipulated rest-based condition. The faster that such an inferred Hamiltonian Operator is to be traveling, in relation to light, the Less Partition-Based Discrepancies that the correlative Individually Taken Mass-Bearing Strings of such an Operator, will tend to have, to where the More Mass-Bearing Strings that such an Operator will thereby tend to need, from within the Ward-Neumman bounds, of its cohesive set of discrete energy quanta. Therefore and consequentially; This works to help in causing, for a change in pulse and/or in geometric delineation, per alteration in mass-related velocity, as is partially described of by relativity, in so as to help to allow for the general process, of "the conservation of homotopic residue." To Be Continued! Sincerely, Samuel David Roach.