Topological Cloaking Device based on Rough Operator Algebra and Seonggil Tensor Calculus

Abstract

This paper presents a novel topological cloaking mechanism that transcends the limitations of conventional metamaterials by integrating Rough Operator Algebra (ROA) and Seonggil Tensor Calculus (STCT). By manipulating dynamic refractive index manifolds and collapsing the scattering matrix (S-Matrix) into topological singularities, we demonstrate a broad-spectrum, noise-resilient cloaking architecture. Python simulations mathematically validate the geodesic flow of light and destructive phase interference.