Sunday, September 8, 2019
Sinusoidal Holomorphic Tendency Squared
Let's take into consideration here, an orbifold eigenset -- that is here to heuristically be initially traveling in the relative holomorphic direction, in a sinusoidal manner. Let's next say, -- that one is here -- in this given arbitrary case -- to call the relative holomorphic direction, to be traveling "straight ahead," to where this said eigenset is to then to be traveling "into the page" (metaphorically), as a cross-product-related tendency, that is here to be initially explicitly exhibited. Next, -- let's say that there is then to be a spontaneous Yukawa Coupling, that is here to be imparted upon the so-stated orbifold eigenset, -- that is here to act upon the sinusoidal oscillation-related tendency of this eigenset, in so as to square the oscillation-based nature of the flow of that sinusoidal wave pattern, -- that this said orbifold eigenset had initially been exhibiting -- at the onset of its translation along the initially inferred relative forward-holomorphic direction, over the course of a relatively transient sequential series of group-related instantons (that may be considered here, to be occurring, over an evenly-gauged Hamiltonian eigenmetric.) Let's next consider here, arbitrarily, that the forward-holomorphic direction in this particular case, is to be described of as being in the "i" direction; The reverse-holomorphic direction in this particular case, is here to be described of as being in the "-i" direction; The forward-holomorphic direction (again, in this case, this is in the "straight-forward" direction), is to be in the "positive x" direction; The reverse-holomorphic direction (in this case, this is in the direction that is coming "towards you"), is to be in the "negative x" direction; The norm-to-forward-holomorphic direction (in this case, this is to the relative "top"), is to be in the relative "y" direction; And the norm-to-reverse-holomorphic direction ( in this case, this is to be at the relative "bottom"), to where this is to be in the relative "-y" direction.) Let's next consider, that the Nijenhuis-to-forward-holomorphic direction is here to be of the relative "z" direction (this is to be at the relative "left") ; While the Nijenhis-to-reverse-holomorphic direction is here to be of the relative "-z" direction (this is to be at the relative "right") .Consequently, the initial heuristic sinusoidal nature of the wave-like pattern, that is of that respective orbifold eigenset -- that has here to have just had a Yukawa Coupling imparted upon it, -- to where the exhibition of its sinusoidal tendency of flow is here to have just become squared, -- will occur, in so as to then happen immediately, in this particular case, to behave in so as to bear a perturbative effect, from acting as an eigenfunction that was initially on the order of Appertaining To "i(sin((theta)(x,y)))", to then acting as an eigenfunction -- that is now to be on the order of Appertaining To "-(sin^2((theta)(z,y)))". Since this particular perturbation of a wave-like pattern is both sudden and orthogonal, it will consequently tend to bear a spurious alteration in the perturbation of its energy-related path, -- since it will here be of a Hamitonian Operation, that will tend to cause a change in more derivatives than the number of spatial dimensions that the directly corresponding orbifold eigenset is here to be traveling through. This will then tend to work to cause a set of Lagrangian-related Chern-Simons singularities to be formed. Furthermore -- since this particular perturbation of a wave-like pattern, is to square in its sinusoidal oscillation-based tendency, -- it will tend to most certainly alter in its dimensional-related pulsation. This will then tend to work to cause a set of metric-related Chern-Simons singularities to be formed. To Be Continued! Sincerely, Sam Roach.
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