Tendency Of General Genus Of Metrical Singularity

When a discrete quantum of energy is to change in any more derivatives than the number of spatial dimensions that is it to be going through, in a path-wise sense -- the said discrete quantum of energy is then to be said to bear one or more Lagrangian-based Chern-Simons singularities.  If the metrical pulsation of a discrete quantum of energy is to either accelerate or to de-ccelerate, as such a quantum of energy is traveling through a given arbitrary medium of space over time -- the said discrete quantum of energy is then said to bear a a metrical-based Chern-Simons singularity.  If one were to have a discrete quantum of energy to here to be going through a set limited number of spatial dimensions over time, -- the more derivatives that such a said quantum of energy is to be changing in as the number of spatial dimensions that it is to be traveling through is here to be maintained -- the more that there will be the potential tendency of the said discrete quantum of energy to thence bear a metrical-based Chern-Simons singularity over time. I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Perturbative Mean Paths In Conjunction With Singularities

Let us initially consider a superstring that is moving as a metrical-gauge-based Hamiltonian operator, of which is moving through its Hamiltonian operand as an eigenstate of discrete energy permittivity -- of which is going through a mappable tracing that may be extrapolated as having at least some expectation value as to continuing to go through a discrete unitary Lagrangian, over a sequential series of instantons.  Let us next say that this superstring, that is here to be considered as going through a Fourier-based transformation -- acts as one small but entire set of superstrings, that operate in so as to perform one specific substringular function -- to where this respective given arbitrary superstring is here to act as one small but entire tense of being an orbifold eigenset.  Let us next consider, that there is, all of the sudden, the presence of a semi-proximal localized group-attractor -- that is then acting upon the so-stated superstring of such a case -- (this superstring of which is here to act as one whole orbifold eigenset) -- that is situated in the general region of the initially said superstring, at a distance that is localized away from the here consistently redelineated given respective string that was initially to go through a discrete unitary Lagrangian path, this group-attractor that is here to interact with the said superstring of which is in the Laplacian-extended directoral-based path, that is in the direction of the reverse-norm-to-holomorphic parameterization of the correlative substringular region -- in such a manner that is Yukawa to the superstring, yet, as an ansantz, not initially in a Gliosis-based manner of substringular-based coupling.  Let us next say that the interaction of the respective given arbitrary group-attractor upon the initially considered superstring of discrete energy permittivity, will here work to form both a set of metrical-based Chern-Simons singularities, a set of Njenhuis Lagrangian-based Chern-Simons singularities, and a tense of a Real Reimmanian-associated Lagrangian-based singularity, upon the kinematic-based motion of the holonomic substrate of the topological entity of that superstring that would otherwise be going through the so-stated given arbitrary respective discrete unitary Lagrangian, over a relatively transient duration of time.  Let us next say that the tendency that is to exist here -- of that substringular-based torsioning, of which is involved with the correlative "fidgeting" of the so-stated initially considered superstring -- that is due to its interaction with the directly corresponding respective group-attractor, will be of a wave-push upon the holonomic substrate of the reverse-norm-to-holomorphic topological surface of the said superstring that is Gliosis to its core-field-density, of which will tend to make the so-stated superstring that is to work to form the said Chern-Simons singularities, to fidget towards what is here to be the opposite direction on the superstring from where the so-eluded-to Yukawa force was directly working to bear its coupling, to where the resultant wave-tug is to be directed in the relative forward-norm-to-holomorphic direction at the Poincare-based vantage-point of the here extrapolated superstring of discrete energy permittivity, that is to here be acting alone in this case as a single orbifold eigenset.  Let us next consider that the resultant reparamterization of the directoral-based topological sway of the transversel-based Hamiltonian operation of the said superstring -- due to the kinetic-based effect of the directly affiliated Lagrangian-based Chern-Simons singularities that are thus formed, will then Tend to "want to"be at a 45 degree subtended direction in the counterclockwise direction from the supplemental-based path that the so-stated superstring would otherwise be taking.  This is due to the condition that superstrings have a tendency of being perturbated out of their directoral-based holomorphicity along a mean Lagrangian path from the general given arbitrary respective path that such a superstring had been initially taking -- before such a general tendency of an interaction with such a group-attractor is then to have happened.  Such a general genus of such a perturbation will tend to "want to" be going into the relative Njenhuis-to-norm-to-holomorphic directoral-based topological sway from its initial course.  This is only the theoretical tendency.  In the real world, there are a lot of other factors involved.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.