Part Two of the Sixth Session of Course 14

If a substringular encoder encodes for a superstring that is bound to a Planck-related phenomenon via a given arbitrary light-cone-gauge eigenstate, then, the given substringular encoder will have a direct effect upon both the given superstring, its corresponding Planck-related phenomenon, and its given arbitrary light-cone-gauge eigenstate.  If a set of superstrings directly influences another set of superstrings, then, their Planck-related phenomena and their directly corresponding light-cone-gauge eigenstates will also tend to directly influence each other -- more than Planck-phenomena and light-cone gauge eigenstates that correspond to superstrings that are not directly influenced by the initial set of superstrings that I had eluded to at the beginning of this sentence.  This means that those directly preceding phenomena that I had mentioned as being of a direct influence upon each other in the substringular, in this given arbitrary situation, have a relatively high connectivity among each other -- in terms of both the Hodge index of mini-string strands that work to form such inter-connectivity, as well as the manner of such a said multiplicit inter-connectivity.  The said connectivity among superstringular phenomena is called topology.  The fact that topology is always maintained for unfrayed substringular phenomena -- except for at the space-hole -- is called topological invariance.  The general substringular operation that multiplicitly works to allow for topological invariance involves Cassimer invariance.  Cassimer invariance operates due to the quadra functions of:
1) The condition that gravity works in an Ante-De-Sitter/De-Sitter manner -- in so that matter wins out over antimatter.  (This is because phenomena tends to be "apprehended" in order to be brought together as a homotopic multiplicit fabric.)
2)  Gaussian Transformations work to recycle the conditions of the everchanging multi-local activities of the change of norm-based conditions.
3)  Substringular states recycle indistinguishably from norm-to-ground-to-norm over time.
4)  The space-hole allows for that "quantum twitching" that allows for frayed substringular phenomena to be separated, to an extent, from unfrayed substringular phenomena.
The conditions of topological invariance is called homotopy.  Changes in homotopy due to the space-hole are called topological transformation.