Homology Versus Cohomology

Here is the basic difference between what a homology is, versus what a cohomology is:
A homology is the physical memory as to the when, the where, and the how, that either an open substringular strand or an open substringular loop has differentiated, as a Hamiltonian eigenindex, over time.  A cohomology is the physical memory as to the when, the where, and the how, that a closed substringular loop has differentiated, as a Hamiltonian eigenindex, over time.  Such physical memories may be anywhere from being at a proximal locus, that is just external to the core-field-density of the superstring -- in other words, at the Ward-Cauchy-based field that is just external to the topological stratum of the substringular eigenindex, -- to being as a physical memory that may be extrapolated from the effect of such a respective strand or a loop, that has here to have just potentially differentiated through a Lagrangian that may be mapped-out, over a Fourier Transform that involves a sequential series of instantons.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.