Hi, this is Sam Roach. I have recently provided some incite as to what is going to be in my course of string theory that I entitle as "Orbifolds." I have not started with, though, my main course work material on this subject yet. I have been reading about my course on fermions, bosons, and the light-cone-gauge lately as a preparation for understanding the concept of orbifolds better. That way, I will be able to better articulate the sessions of my course as to orbifolds better -- once I find my course about the said orbifold material in one of my safes soon. I thank you for your patience.
Orbifolds are like a "home" of superstrings that function as one unit for a given operation.
Orbifolds may act as an operation, an operator, and/or an operand -- when such given orbifolds are considered as these exist in space and time over history.
Orbifolds also act as a discrete space index that works to function in conjunction with other space indices in so as to allow for the interaction of different sub-atomic particles that work to define different kinematic spaces from the various universes that interact over time.
Orbifolds of different universes act as spaces that tend to not be of a Real Reimmanian nature when these are considered relative to one another.
Spaces -- or orbifolds -- that are of the same universe bear such a Gaussian symmetry in so that these bear group Hodge Indices that work in such a manner so that these corresponding spaces tend to be Real Reimmanian relative to one another.
Spaces that are defined as orbifolds here, that correspond in a Real Reimmanian manner, bear a Gaussian Symmetry that causes these to interact in a manner that may be readily extrapolated as viabley interactive with one another over the set Fourier Transformations in which these said spaces are here said to directly interact with one another in a manner that tends to be abelian in a Yakawa manner.
Some orbifolds that are not of the same universe may often, though, bear a certain degree of Gliossi, cohomoligical, and/or Yakawa interaction -- in spite of the conditions here that the related interactions that would here be happening would not be detectible by ordinary means.
Spaces that are defined by the existence of orbifolds work to form eigenstates of indical reality that form a set of superstrings that work together so that certain given activites may happen, so that discrete charges and discrete angular momentum wave-tug, in a directly sub-atomic manner, may happen spontaneously over time.
Orbifolds that work together for a comomon operation may be viewed of as orbifold eigensets -- sets of orbifold eigenstates that form a union so that a higher genus of operation, operator quality, and/or operand-based condition may be attained so that certain levels of function may be spontaneous.
This is a very brief preview of what I am about to get into.
I will continue with the suspense later! Sincerely, Samuel David Roach.
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