Tuesday, May 19, 2015

Chern-Simmons Simultaneities

Let us here consider a substringular entity of holonomic substrate that is acting as a Hamiltonian operator -- that is moving through a relatively discrete and flush Lagrangian, over time.  The said Hamiltonian operator is hereby moving through what may here be considered as a phenomenon that is acting as a kinematic functional group that is differentiable, in a Fourier-based tense, as being translated through a set respective given arbitrary Hamiltonian operand, over a given arbitrary respective sequential series of group-related instantons.  After what may here be considered as a relatively transient duration of group-metrical translation, the so-stated Hamiltonian operator moves upon a critical cusp -- this said cusp of which will here work to perturbate the vibrational-based oscillation of the so-stated Hamiltonian operator-based holonomic substrate, to where there is thereby caused both a "re-shuffling" of the pulsation of the physical entity that is moving across the so-eluded-to substringular path that is of this respective given arbitrary case scenario, and, there is here also caused the formation of a change in the Ward-Caucy-based directoral-based motion of the said substringular entity -- that is moving across the so-stated otherwise relatively discrete and flush Lagrangian-based path, over time.  This binary causation of both a respective metrical-based Chern-Simmons eigenbase of singularity and a Lagrangian-based Chern-Simmons eigenbase of singularity, is, in this case, the result of the existence of both the relative positioning of the here so-mentioned critical cusp that has here acted as a permutation -- that has also as well been in the path of the motion of the said Hamiltonian operator of holonomic substrate, that has moved across the so-mentioned Lagrangian of this respective case, and, the such a causation of a Chern-Simmons-based singularity may also as well be the result of the Laplacian-based "activity" of the said critical cusp that has here been translated in one manner or another -- upon the mappable tracing of the projected trajectory of the path integral of the Hamiltonian-based operand, in which the so-stated Hamiltonian operator ( which may here be an orbifold eigenset) has been going through, in so as to perform one specific operation of activity, in the process of doing one set substringular function, over time.  The alteration in the genus of the pulsation of the so-eluded-to substringular phenomenon, that has here been caused by the said critical cusp, will have here acted as a metrical-based eigenbase of Chern-Simmons singularity, while, the alteration in a higher number of changes of derivatives than the number of physical dimensions that the so-stated Hamiltonian operator has been going through -- in the process that  the here so-eluded-to orbifold eigenset has been going through over time -- that has been caused by the said critical cusp -- will have here acted as a Lagrangian-based eigenbase of Chern-Simmons singularity.  This is one given arbitrary example of as to how one given arbitrary physical source may help to cause both a metrical-based eigenbase and a Lagrangian-based eigenbase as to the existence of two corerlative Chern-Simmons genre of singularites, that are here directly affiliated with a Doubolt cohomological tense of the simultaneous condition of the same orbifold -- as when this is considered from the vantage-point of a central conipoint, as when this is taken over a relatively correlative Laplacian basis of Ward-Caucy-based conditions.
I will continue with the suspense later!  To Be Continued!  Sam Roach.

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