General Genre Of Cyclic Permutations

I can immediately think of three different general genre of cyclic permutations.:  1)These may be Calabi-based. -- There may be fluctuations in any one respective given arbitrary tense of a Majorana-Weyl-Invariant-Mode, that is Poincare to the so-eluded-to internal reference frame -- that is of the correlative topological stratum of the correlative holonomic substrate.  2)These may be metrical-based. -- There may be an analogous but different relatively proximal local gauging of the directly corresponding group-metrics, that may be effectual to the Gliosis-based topological stratum, that is here of the correlative holonomic substrate at the Poincare level.  &, 3)These may be Lagrangian-based. -- There may be analogous but different relatively proximal local Lagrangian-based paths, that may be attributed to the correlative metrical-gauge-based Hamiltonian activity that may be traversed, -- over the course of a directly corresponding Fourier Transformation, that would here be happening at an internalized gauged reference frame.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.