Lobachevsky's Imaginary Geometry as Specular and Hyperdimensional Structure

This article proposes a reinterpretation of Lobachevsky’s imaginary geometry as a hyperdimensional, specular structure arising from the intersection of two three-dimensional Euclidean spaces. The model describes non-Euclidean parallelism as emerging dynamically from oscillating curvatures, leading to a topological system with four subspaces, two transverse and two vertical, whose behavior is governed by synchronized or opposing phases.