Plasma Stabilization via Topological Anisotropy of Spatial Connectivity

Building upon the recently proposed Topological Model of Spatial Connectivity, we develop a covariant formulation of Maxwell’s equations in an anisotropic geometric background defined by the local connectivity tensor Gij(x,t). Within this framework, the antisymmetric part of Gij represents a fundamental twist of spatial connectivity, while the symmetric part encodes local curvature. Variations of Gij rescale the effective Planck length Lp = l* sqrt(Gij(x,t) n^i n^j) and consequently modify the local propagation constant ceff ∝ Lp-2/3. We derive explicit 3+1 equations for the electromagnetic field in such anisotropic geometry, showing that local Lorentz invariance is preserved while direction-dependent permittivity and permeability naturally arise. Localized deformations of Gij—interpreted as topological connectivity defects—generate nonlinear drifts of the form δv ∼ ∇ceff / ceff, which advect and suppress small-scale plasma fluctuations. This provides a purely geometric route to plasma stabilization without external confinement or power input. This version of the manuscript is currently under review at Physics of Plasmas (AIP). Minor differences may appear in the final published version.