Homeomorphic/Heteromorphic Homotopic Vibrational Hamiltonian Field Operator -- De Rham/Dolbeault Cohomology

 A given arbitrary spatially transferred cohesive set of discrete energy quanta, that is to be respectively propagated along the general physical substrate of space-time-fabric, of which is here to work to display the general behavior, of acting as a homeomorphic homotopic vibrational Hamiltonian field operator, will consequently tend to have a greater tendency, of exhibiting a De Rham cohomology, than a Dolbeault cohomology. It follows, then; that a given arbitrary spatial transferred cohesive set of discrete energy quanta, that is to be respectively propagated along the general physical substrate of space-time-fabric, of which is here to work to display the general behavior, of acting as a heteromorphic homotopic vibrational Hamiltonian field operator, will consequently tend to have a greater tendency, of exhibiting a Dolbeault cohomology, than a De Rham cohomology. I will continue with the suspense later! SAM ROACH. (1989).