Showing posts with label non abelian. Show all posts
Showing posts with label non abelian. Show all posts

Saturday, June 5, 2021

Some More As To The Polyakov Action

 To my particular model of string theory:

With a discrete quantum of energy, that is here to work to be exhibiting a non abelian light-cone-gauge topology; The multiplicity of the Polyakov Action, tends to be most eminent, between the Fadeev-Popov-Trace eigenstate, And, its directly corresponding superstring of discrete energy permittivity, -- whereas, with a discrete quantum of energy, that is here to work to be exhibiting an abelian light-cone-gauge topology; the multiplicity of the Polyakov Action, tends to be most eminent, between the Fadeev-Popov-Trace eigenstate, And, its directly corresponding counter string of discrete energy permittivity. SAM. (1989).

Wednesday, February 24, 2021

Non Abelian Light-Cone-Gauge Eigenstates — Elastic Modulae

 Non Abelian light-cone-gauge eigenstates tend to have a higher elastic modulus, than abelian light-cone- gauge eigenstates do. Therefore; since non abelian light-cone-gauge eigenstates, are known of as acting as the nature of being “Yang-Mills,” and, abelian light-cone-gauge eigenstates, are known of as acting as the nature of being “Kaluza-Klein”; Yang-Mills light-cone-gauge eigenstates tend to have a higher elastic modulus, than Kaluza-Klein light-cone-gauge eigenstates do. Sincerely, SAMUEL DAVID ROACH. (1989).

Wednesday, June 19, 2019

More As To Cohomological Eigenstates, Eigenindices

Cohomological eigenstates may either be abelian or non abelian groupings, that latch at a locus that is proximal local to the topology of discrete energy; whereas -- cohomological eigenindices are discrete motions of such abelian or non abelian groupings, that work to indicate the presence of the thence proximal local said cohomological eigenstates.  Sincerely, Samuel David Roach.

Monday, October 8, 2018

As To The Flow Of The Second-Order Eigenstates Here

During the Polyakov Action, the correlative second-order light-cone-gauge eigenstates are to undergo a general genus of a Clifford Expansion, that works here to bear mini-stringular segmentation that is to consequently be put into the process of being "fed-into" the core-field-density of the directly corresponding first-order light-cone-gauge eigenstate -- in so as to work to help at allowing for those homotopic interconnections, that are here to exist between the directly corresponding Fadeev-Popov-Trace eigenstate and its correlative superstring of discrete energy permittivity, over a correlative fractal of time.  For discrete energy quanta that are of a Kaluza-Klein light-cone-gauge topology -- this will tend to generally mean, that, besides that bending of the directly corresponding second-order light-cone-gauge eigenstates, that is due to the earlier mentioned general genus of such a Clifford Expansion, as well as taking into consideration the condition, that besides the "plucking" of second-order light-cone-gauge eigenstates by their correlative gauge-bosons, -- the second-order light-cone-gauge eigenstates that are directly related to such an abelian topology, will tend to bear a relatively intrinsic supplemental wave-tug, during such an iteration of BRST.  Furthermore -- for discrete energy quanta that are of a Yang-Mills light-cone-gauge topology -- this will tend to generally mean, that, besides that bending of the directly corresponding second-order light-cone-gauge eigenstates, that is due to the earlier mentioned general genus of such a Clifford Expansion, as well as taking into consideration the condition, that besides the "plucking" of second-order light-cone-gauge eigenstates by their correlative gauge-bosons, -- the second-order light-cone-gauge eigenstates that are directly related to such a non abelian topology, will tend to bear a relatively intrinsic sinusoidal wave-tug, during the course of any case of such an example of an iteration of BRST.
I will continue with  the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little As To Abelian Verus Non Abelian Groups

When one is dealing with a phenomenology that works to display a symplectic geometry -- such a so-eluded-to homology, that is thence formed by the interaction of the said string's topology with its immediately proximal norm-state-projections, is then to be directly corresponding to a closed-looped superstring of discrete energy permittivity, -- of which is here to be a cohomology, of which is here to have a grouping of abelian eigenindices, that work to form the structure of its homology-related framework, as this is proximal local to its external topological surface at the Poincare level.  Yet -- when one is dealing, instead, with a phenomenology that works to display a "Khovanov" geometry -- such a so-eluded-to homology, that is thence formed by the interaction of the said string's topology with its immediately proximal norm-state-projections, is then to be directly corresponding to either an open-looped superstring or an open-looped strand of discrete energy permittivity, -- of which is here to be a Legendre homology, of which is here to have a grouping of non abelian eigenindices, that work to form the structure of its homology-related framework, as this is proximal to its external topological surface at the Poincare level.  Furthermore, as I have inferred to before -- an abelian group works to form a direct wave-tug-related interaction with the respective phenomenology that it is to come into contact with, -- whereas, a non abelian group works to form an indirect wave-tug-related interaction with the respective phenomenology that it is to come into contact with.  Consequently, the process of the indistinguishably different recycling of non abelian groupings -- that work to form the homology-related shell of Legendre-related geometric phenomena -- are here to be recycled relatively more swiftly, whereas the process of the indistinguishably different recycling of abelian groupings -- that work to form the cohomology-related shell of symplectic-related geometric phenomena -- are here to be recycled relatively less swiftly.  Abelian groupings are brought into the Ward-Neumman bounds of the relatively proximal local region of a closed-looped genus of substringular phenomenology -- because, when a bosonic string is to interact with those norm-state-projections that it is to come into contact with, -- such a consequent interaction tends to be of a relatively orthogonal nature, -- whereas, non abelian groupings are brought into the Ward-Neumman bounds of the relatively proximal local region of either an open-looped or an open-strand genus of substringular phenomenology -- because, when a fermionic string is to interact with those norm-state-projections that it is to come into contact with, -- such a consequent interaction tends to be of a relatively oblique nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.