Co-linear Interdependent Spatial Translations, Related By A Factor Of "i"

 Let us initially say, that one were to have two different interdependent collinear Hamiltonian Operators, -- that are to be moving along in space.  Both of such different given arbitrary Hamiltonian Operators, are to be separated by a distance, even though both of such inferred systems of energy, are here to bear an interdependent coupling function -- via the means of some latent field, that is here to inter-bind the motion of these two different inferred sets of discrete energy. Let us next say, that their covariant spatial translations -- as these two different said given arbitrary Hamiltonian Operators are to moving along in a collinear manner, -- is to bear an interdependent difference in Yukawa Coupling, by a multiplicative factor of "i." The average motion of the two different said Hamiltonian Operators, is to work to bear a Lagrangian-related path, that is here to bear a median, that is thence to be covariant in delineation, around the midpoint of the central coni-axial of their metric-related topological structure. An example of what this may mean, in one particular given arbitrary respective case, is the following: Let us say, one of these two different said Hamiltonian Operators, is to be moving to the left in a straight line, via a unitary Lagrangian. The other of these two different said Hamiltonian Operators, however, is to be spinning relatively counter-clockwise in a smooth hermitian manner, along the center of that collinear plane, of which these two different respective Hamiltonian Operators is to be spatially translated in, -- over an equivalent span of time, via the vantage-point of a central coni-point. Since one of these two respective moving covariant structures of topological stratum, is to be moving in a linear path to the relative left, while the other of the two said respective moving covariant structures of topological stratum, is to be spinning in a relatively counter-clockwise manner, simultaneously, via the vantage-point of a  central coni-point, this may often be depicted, as being one general example of a given arbitrary type of a situation, in which such a respective given arbitrary interdependent tense of a Yukawa Coupling, that is here to exist among two different respective kinematic Hamiltonian Operators, is thence to bear a covariant relationship, that may be related by a multiplicative factor of "i." To Be Continued Later! Sincerely, Samuel David Roach.

Cause Of A Certain General Tense Of A Mode

The quarternionic-instanton-field-pulse-mode, helps to work to cause the eminent relationship, that is here to exist between the multiplicit Hamiltonian tense of energy, and its directly corresponding multiplicit Lagrangian tense of energy.  The said respective Hamiltonian tense of energy, is the "thing" of any given arbitrary set quantum of energy, and, the said respective Lagrangian tense of energy, is the actual "motion" of any given arbitrary set quantum of energy.  Theoretically -- the eminent relationship that is here to exist, between the said Hamiltonian tense of energy and its directly corresponding said Lagrangian tense of energy, is here to be by a covariant factor of (-i); yet -- in order for there to be a unification of the inferred holonomic substrate of energy with its actual movement, over a sequential series of group-related instantons (which is here to be, over a set discrete increment of time), the actual relationship, is to bear a unitization of a tense of a particle/wave duality, -- to where this is here to simply be related to a covariant factor of (1).  The number ((-i)^4) = 1.  Consequently -- during any given arbitrary iteration of the generally unnoticed duration of Ultimon Flow, as the multiplicit substringular realm is just exiting the Space-Time-Fabric-Entanglement-Topological-Setting, (which is when the pressurized vacuum, that is here to exist between the multiplicit Fock Space and its directly corresponding multiplicit Riemann Space, is to work to act -- in so as to help in working to bring the vast array of discrete energy quanta into their ensuing delineation-related positioning, for the subsequent iteration of group-related instanton), the quaternionic-instanton-field-pulse-mode, is to happen in a Gliosis-related manner, upon the topological stratum of the holonomic substrate of each individually taken discrete quantum of energy, in so as to work to equate the theoretical attribute of a factor of a (-i), into the actual attribute of a factor of (1).  What works to help in causing this particular general tense of a mode, is the general Ward-Cauchy-related condition -- by which those first-order point particles that work to form the vast array of the superstrings of discrete energy permittivity, act in so as to fluctuate, -- from decompactifying their density by a factor of 10,000, when going into the generally unnoticed duration of Ultimon  Flow, into subsequently compactifying their density by a factor of 10,000, when going into the generally noticed duration of Ultimon Flow.  This works to metaphorically act like a "circulatory-like pumping" process (like a metaphorical heart, as it is "pumping" blood), in which the inferred cyclical process of going from a tense of a respective tense of a decompactification, into a subsequent respective tense of a compactification, -- is here to work to help in the process of continuing the flow of substringular energy, and thus, this works to help in the process of the continuation of the flow of energy, period.Sam.  I will continue with the suspense later!