The Tendancy of Homotopy

An eigenfunction is different from an eigenstate. Waves may be used to describe certain quantum forms of energy, certain quantum forms of field indices, and/or different forms of particles. De Broglie waves are waves that consider the wave-like nature of certain particles. An eigenfunction is a mathematical representation of an eigenstate. An eigenstate is an individual discrete phenomenon that bears a physical operation that works to correspond to a given arbitrary physical situation. The waves that form the field-networking that works to interbind superstrings are what I term of as mini-string. Mini-String is comprised of second-ordered point particles that bind into waves and wave segments that work to interconnect various substringular phenomena. Unfrayed substringular phenomena bears mini-string segments that do not collapse during individually considered eigenmetrics of group instanton. During what I terms of as the space-hole, mini-string segments that are not of frayed space-time-fabric almost break in topologically-based homotopy -- while then reconnecting in such a manner in so that the various substringular phenomena may fluctuate in the ensuing successive series of the iterations of group instanton so that motion may be freed-up enough so that energy may bear, at least to a certain degree, a manner of free-flowing activity so that energy may exist and persist spontaneously over time. Second-Ordered point particles are bound together in the various mini-string segments by sub-mini-string. Sub-Mini-String is not only what binds the directly prior mentioned point particles, yet, these sub-mini-string segments work to form the holonomic substrate that comprises third-ordered-point particles. The pressurized vacuum that acts as the basis of the composition of sub-mini-string is that force-like phenomenal entity that also works to allow for the inevitable tendancy of what happens during the duration in which the space-hole happens to thus occur. The directly related wave eigenstates that are unfrayed never disappear, yet, these may be displaced and/or redelineated to various different regions. The abiltiy of Cassimer Invariance to allow for the perpetual tendancy of substringular phenomena to interchange eigenstates to allow for the maintainance of homotopy per instanton is due to that activity that happen multiplicitly right before the instanton-quaternionic-field-impulse-mode. This activity is the virtual collapse of mini-string wave eigenstates that is always brought back into a completion of homotopy for unfrayed space-time-fabric in such a manner in so that the interconnectivity of substringular fields may be allowed to redelineate in so that motion may remain kinematic enough for energy to continue on its own.
Enough for now! I will continue with the suspense later! Sincerely, Sam Roach.