జర్నల్ ఆఫ్ రిమోట్ సెన్సింగ్ & GIS

నైరూప్య

Mathematical Theory and Physical Mechanics for Planetary Ionospheric Physics

Jonah Lissner

In a dynamic system, e.g., Geometrodynamics geophysical isomorphisms from plasmasphere^i to ionosphere^ii, e.g., Upper-atmospheric lightning (UAL, sferics), Middle-atmospheric lightning and Lower-atmospheric lightning (MAL, LAL, sferics) and Terrestrial and Subterranean Perturbation Regimes (TSTPR, terics) real Physical space is represented as (M,g) R^ 5→(M,g) R^4 brane. F-theory propagates QED continuous polyphasic flux to (Mg) R^4 brane is postulated utilizing Universal constants (K), c.f. Newton's Laws of Motion; c; Phi; Boltzmann's Constant loge S = k W ; Gaussian distributions; Maxwell's Equations; Planck time and Planck Space constants; a; Psi. Constants are propagated from hypothesized compaction and perturbation of topological gauged-energy string landscape (Mg) R^4 d-brane applied to electromagnetic and gravitational Geophysical sweep-out phenomena, e.g. Birkeland currents, ring currents, sferics, terics and given tensorized fields of ionized plasma events^iii and energy phenomena of the near Astrophysical medium. These can be computed from Calabi-Yau manifolds as CP^4 in density matrices of Hilbert space, Hyper-Kahler or 4-Kahler manifolds across weighted projective space. e.g., in Gaussian Unitary Ensembles (GUE) where as a joint probability for eigenvalues and-vectors 3 2 4 1 1 k i j j i k e Z η η λ β βη λ λ − < = Π Π − (1) from dispersion k^2=w^2 p_0 from Boltzmann's constant H [1] and Trubnikov's 0, 1, 2, 3 tensors [2,3].