Solution 5 Of Test 2 Of Course 20

For the first 384 iterations of group-related instanton, once a photon has directly struck another discrete quantum of energy, the scattered photon, when individually taken, is entropic -- and it is then said to temporarily bear an abelian light-cone-gauge topology.  This means that the mini-stringular segmentation of the correlative Kaluza-Klein topology, is relatively supplemental and not sinusoidal.  This is due to the condition, that the said entropic photon is here to bear a "spring-like" reflexive nature -- that may here to attributed to the directly corresponding kinematic activity of the holonomic substrate of the so-eluded-to light-cone-gauge eigenstate, in so as to respond in a homotopic manner, is so as to not shatter upon a Gliosis-related contact.  When electromagnetic energy scatters upon a phenomenon, individual photons strike the externalized core-field-density of individually taken light-cone-gauge eigenstates.  Likes repel -- in part due to that adjacent phenomena that are of the same electrostatic general nature, must spin in an assymetric manner -- relative to one another.  The said "springing" of the light-cone-gauge eigenstates of photons, works to allow for photons to repel what these had struck directly.  So, the thence straightened-out nature of the overall mini-stringular segmentation of the light-cone-gauge eigenstates of electromagnetic energy -- when these scatter upon something -- works to allow for the need for a very transient repulsion of electromagnetic energy from what it had just directly contacted, as it basically is a fractal of what would happen as is according to the Pauli-Exclusion Principle.  The "counter string" of discrete energy permittivity, that would here be as is directly corresponding to the here so-eluded-to superstring -- along with the mini-stringular segmentation that works to inter-bind the said counter string with its correlative superstring of discrete energy permittivity, -- acts as a physical buffer to the spring-like action, that is of the light-cone-gauge topology of a photon.  I will continue with the suspense later!  To Be Continued!
Sincerely, Samuel David Roach.

Conformal Dimension And Charge

The discrete number of spatial dimensions that any physical phenomenon is to exist in, will always be of an integer amount -- such a general genus of a number, will always come into play as a packet of spatial dimensions that are here to be considered, -- such as in the case to where, one can not metaphorically have a fraction of a person, yet, one will always have an integer number of people in such a general genus of a metaphor, of which would obviously be the situation in any given case.  Yet, the conformal dimensionality of a Ward-Cauchy-related phenomenon, will just about never be equal to the directly corresponding discrete dimensionality.  The conformal dimension of an eminently potentially generative world-sheet, will tend to be equal to just over the scalar amplitude of what its correlative discrete dimensionality will happen to be.  When one is to have a generative 3 dimensional world-sheet, that is here to be kinematic over a set Fourier Transform -- it will tend to have a conformal dimension of anywhere from just over 3, up to 3+(1.6022*10^(-19)) spatial dimensions -- over the directly corresponding so-eluded-to set evenly-gauged Hamiltonian eigenmetric.  If the conformal dimension of the just mentioned 3 dimensional world-sheet is to exceed a scalar amplitude of 3+(1.6022*10^(-19)), it will either tend to spontaneously decompactify into a world-sheet of 4 spatial dimensions plus time (to where such a said decompactification will here to be happening in and of its own accord), or else it will release a discrete quantum of cohomological-related homotopic residue -- that is here to be discharged externally from the Poincare-related Ward-Cauchy bounds of the directly corresponding proximal local region, that is of its correlative Majorana-Weyl-Invariant-Mode, in such a manner to where this will be indicated by the generation of a discrete charge, in the form of an electron volt, -- as a general example. I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Solution 4 To Test 2 Of Course 20

4)  Superstrings of discrete electromagnetic energy permittivity, bear a Yang-Mills light-cone-gauge topology.  Light-Cone-Gauge eigenstates exist, per individually taken iteration of the multiplicit Polyakov Action -- which is here in this case, not working to consider the directly corresponding Clifford Expansion that would here be Yukawa to the said light-cone-gauge eigenstate, right in-between the multiplicit Fadeev-Popov-Trace eigenstate and its correlative multplicit superstring of discrete energy permittivity.  A Yang-Mills light-cone-gauge topology, is one in which the said eigenstate is of a non-abelian topololgy.  What this means here, is that a Yang-Mills light-cone-gauge topology -- is comprised of by mini-stringular segmentation that subtends between the respective Fadeev-Popov-Trace and its correlative superstring, in a manner that is of sinusoidal relatively standing waves, that are here being "fed-into" the proximal locus of the region at which the light-cone-gauge is being iterated -- during the so-eluded-to Polyakov Action  eigenstate.  As this Polyakov Action happens, gauge-bosons act -- in so as to "pluck" the directly corresponding second-order light-cone-gauge eigenstates, at the "troughs" of these just mentioned states.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Superstrings To Orbifold Eigensets

Let us consider an orbifold eigenset.  It is comprised of a set of discrete quanta of energy-related phenomena.  The flow of energy of each of the just mentioned individually taken discrete quanta of energy, is based upon the Lagrangian-related sequential series of instantons of the phenomenology of the said individually taken discrete quanta of energy.  Next -- take the integration of the overall set of discrete quanta of energy, that are here to work to comprise the mentioned orbifold eigenset.  Take the Lagrangian-related sequential series of the group-related instantons, that are of the phenomenology of the so-eluded-to integrative set of the overall said orbifold eigenset.  This will then work to give one the flow of energy of the directly corresponding set of discrete quanta of energy of this case -- that operates here, in so as to perform one specific given arbitrary respective function over time.
To Be Continued!  Sincerely, Samuel David Roach.

Cohomology And Current

Another short but good one.:
Let us consider a cohomological flow, that is here to be generated over an evenly-gauged Hamiltonian eigenmetric.  This may be reverse-fractaled out, to a charge that is generated over time.  Current is charge per time.  This means -- that the generation of a cohomological flow over time, may be reverse-fractaled out to the flow of an electrodynamic current.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Rham Cohomology And Charge Generation

Let us here initially consider a given arbitrary orbifold eigenset, that works to consist of being comprised of by mass-bearing superstrings -- that is here as an orbifold eigenset that is being translated as a Fourier-related De Rham cohomological Hamiltonian operator, that is here to not be in a tense of conformal invariance at its Poincare-related reference-frame -- that will tend to simply generate cohomology over time.  Thus -- such a given arbitrary orbifold eigenset, that works to consist of mass-bearing superstrings -- that is as an orbifold eigenset that is being translated as a Fourier-related De Rham cohomological Hamiltonian operator, that is here to not be in a tense of conformal invariance at its Poincare-related reference-frame -- will tend to reverse-fractal out to simply be generating charge over time.  The more of a Hodge-Index that there will then be, as to the number of discrete quanta of energy that are then to exist in the so-stated orbifold eigenset of mass-bearing superstrings, at its kinematic-varying proximal locus, that is here to be partaking in such a said cohomological Hamiltonian operation that is of the translation of the said De Rham cohomology over time -- the higher that the energy will be, in the so-eluded-to translation of charge per time.  The more energy that is here to be involved with any one respective given arbitrary charge, -- the more of a potential voltage that may be designated to the electrodynamic transference of the here so-stated orbifold eigenset, of such a respective given arbitrary case.
I will continue with the suspense later! To Be Continued!  Sincerely, Samuel David Roach.

Cohomology And Charge

The following is an extremely simple, yet down to the topic post.
The generation and/or the degeneration of cohomology, reverse-fractals out to
the respective generation and/or the respective degeneration of charge.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Yau-Exact Phenomenology As With Mass-Bearing Strings

Only mass-bearing superstrings of discrete energy permittivity are Yau-Exact superstrings -- because only mass-bearing superstrings of discrete energy permittivity, are able to generate as much cohomology over a proscribed evenly-gauged Hamiltonian eigenmetric as these are to degenerate -- under a tense of superconformal invariance.  If either a tense of kinetic energy-related superstrings or a tense of electromagnetic energy-related superstrings, were to be under the Ward-Cauchy-related condition of generating the exact same amount of cohomology as these are to degenerate, under a proscribed evenly-gauged Hamiltonian eigenmetric -- there would be no net generation of charge, and thus, there would be no net energy here to be expressed -- over the said evenly-gauged Hamiltonian eigenmetric.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Solutions To First Three Test Questions Of Test 2 Of Course 20

1)  A Calabi-Yau interaction, is the general interaction that is to happen between the holonomic substrate of discrete quanta of electromagnetic energy -- with the holonomic substrate of orbifold eigensets of mass-bearing discrete quanta of energy.

2)  A tense of a euclidean Clifford differentiation that is involved with electromagnetic energy, is the multiplicit Ward-Cauchy-based condition of the Polyakov Action -- that is relatively minimized for superstrings of mass that bear a velocity that is close to light speed, and is as well being relatively maximized for superstrings of mass that are superconformally invariant in such a manner that is proximal local to a set said region.

3)  In terms of electromagnetic energy, -- the relationship that is to exist between one correlative Polyakov Action eigenstate and its respective Lorentz-Four-Contraction, -- is an example of a Dirac Clifford differentiation.

I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Course 20, Session 11, Test 2 Questions

1)  What is a Calabi-Yau interaction?

2)  In terms of electromagnetic energy, what is a euclidean Clifford differentiation?

3)  In terms of electromagnetic energy, what is a Dirac Clifford differentiation?

4)  Explain the Yang-Mills characteristics of electromagnetic energy.

5)  Explain the Kaluza-Klein characteristics of scattered electromagnetic energy.

6)  Explain a typical quantized set of beams of electromagnetic energy.

7)  Explain the orthogonal tense of the light-cone-gauge conditions, that are of scattered electromagnetic energy.

8)  Explain, in terms of both the light-cone-gauge and BRST -- the process that it takes for the re-quantization of electromagnetic energy.

I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.