Part Two of the Third Session of Course 17 About the Ricci Scalar

Planck-Like phenomena, or, in other words, Fadeev-Popov-Trace eigenstates, that are both of the same parallel universe, while yet being placed in an adjacent manner -- during any given arbitrary iteration of group instanton -- are normal to one another, with a wobble that may be subtended by a directly corresponding angle of 1.104735878*10^(-81)I degrees, when the so-stated subtension is made codeterminable in a relation of one of the so-stated Fadeev-Popov-Trace eigenstates relative to the other so-eluded-to Fadeev-Popov-Trace eigenstates.  What I mean by an Imaginary-based angling is a wobble that sways in one given arbitrary directoral-based tensoric sway, to the directly opposite given arbitrary directoral-based tensoric sway -- from a subtension that is pulled through a scalar angular Hamiltonian operand that is equivalent to the initially so-stated directoral topological-based sway, that is from a central conipoint of delineaetion, to a wave-pull that works to pull through a scalar angular Hamiltonian operand that is equivalent but opposite in holomorphism to the initially so-stated directoral topological-based sway, that is from a central conipoint of delineation. ( The second so-eluded-to portion of topological sway is here being an equal and opposite Hamiltonian-based operation that occurs in the opposite basic directoral genus of wave-tug/wave-pull.)  This is true, in one manner or another, for all adjacent Planck-Like phenomena, or, in other words, this is true, in one manner or another, for all adjacent Fadeev-Popov-Trace eigenstates, in the following general manner.  One initially considers that coniaxion of each of two different respective Fadeev-Popov-Trace eigenstates that would here work to elude to the directoral-based subtension -- as to the topological-based sway of each of the two implied covariant so-stated Fadeev-Popov-Trace eigenstates, that is operational over the course of any directly corresponding iteration of group instanton, in which these two adjacent so-stated Planck-Like phenomena, that are here of the same universe, are oscillating in so as to act as eigenstates of discrete energy impedance.  One then needs to consider the subtension of the central coniaxion that may be extrapolated -- in so as to work to determine the directly corresponding angle of correlative topological relation, at the so-eluded-to directoral inter-relationship that I have stated here.  The angle of subtension that may be here used to determine the correlative vibratorial oscillation, that would then here be both codeterminable and codifferentiable in-between these two so-stated Planck-Like phenomena would here be the so-stated angle of 1.104735878*10(-81)I degrees.  So, the tensoric-based motion of those vibratorial oscillations -- that would then be subtended between two different Planck-Like phenomena that are both adjacent, and, are of the same universe, would then bear a smooth-based curvature, that would work to complete the operational-index of the functionability of the Hamiltonian-based activity of that format of topological sway, that would here work to directly associate one adjacent Fadeev-Popov-Trace eigenstate of any given universe to the initially so-eludud-to Fadeev-Popov-Trace eigenstate.  Such a Fadeev-Popov-Trace eigenstate is one that may then here be extrapolated of as an operator of an initial basis of case scenario.  Such a subtended curvature of vibratorial oscillation tends to work in the direction of bearing a hermitian eigenbase of topological-based sway. I will continue with the suspense later!
To Be Continued!  Sincerely, Sam Roach.