A Tad Bit Of An Addition About Operands

As to what acts as a Hamiltonian operand during the course of one general eigenmetric that happens within the course of one group instanton -- at a specific locus within the realm of a substringular neighborhood -- depends on what the substringular arrangement is at a specific moment over the course of the given arbitrary mentioned physical spatial scenario.  Let us say that a sub-mini-string eigenstate is about to enter a given region of free-space.  The operand as to where the said sub-mini-string eigenstate is to go is right in the path of where the said eigenstate is going to go to right after the said state starts from where it was initially at.  The place where the mentioned sub-mini-string eigenstate is about to go -- even though, during the condition of the initial Laplacian-based conditions of the directly related free-space, the spot where the said state wants to go is initially vacant -- to where this region of vacancy may be said to be a kernel of an eigenstate of a Hamiltonian operand at a fractaled level when one considers that the prior mentioned sub-mini-string eigenstate is going to go into the locality where such a kernel of locus exists -- as a very limited region of free-space.  As the sub-mini-string eigenstate moves into the realm of the Laplacian-based locus that was here mapped as free-space --  over a certain duration that eludes to a sub-metric in this case that allows for that kinematic motion that here allows for the said kinematic eigenstate to enter the realm of an unmoving kernel of an eigenstate of a Hamiltonian operand that awaits to be entered so that some anterior operation may be performed in so as to perform some given arbitrary function.  Once that the said eigenstate of sub-mini-string phenomenon enters the prior mentioned regional locus of free-space that we have here been discussing, then, this free-space that is here being acted upon by a physical entity that is both kinematic and of a time-oriented holonomic substrate may now be viewed of as an eigenstate of an operatand that is here codeterminable and integrative with a phenomenon that is moving as a substringular entity in space over time.  So, what I was mainly describing two days ago -- in terms of Hamiltonian-based operands -- were the kernel-like basis of an eigenstate of Hamiltonian-based operands. When the phenomena of sub-mini-string is actually Gliossi to the mapped frameworks of what were initially such  kernel-like bases, then, such a fort of kernel is said to be of a holonomic nature that involves both a tendency to be codeterminable and integrative with the phenomenon that is moving into the region as to where such a holonome was mapped directly after it merely acted as a kernel of a Hamiltonian-based operand-like function.  So, it both depends on the overall delineation as well as the metric-based covariance of the substringular integration of the sub-mini-string segments as eigenstates in order to work to determine the qualitative descriptions and operations of the Hamiltonian-based operands that act as regions of free-space where actual phenomena of the substringular operate through, in order to perform their specific functions over those gauge-metrics that integrate into successive series in so as to form the kinematic motion known of as energy over time.  I will continue with the suspense later!
Sincererly,
Samuel David Roach.