Imaginary Axes Deprivation in Euclidean Space
Year: 2026
Type: article
Abstract: This preprint examines the structural asymmetry in the historical development of Euclidean space and complex numbers. While the real line was enriched through the introduction of the imaginary unit, leading to the complex plane as a coherent rotational system, no symmetric axis-wise complexification was applied to three-dimensional Euclidean space. The article introduces the distinction between geometrically effective axes and internal orientational parameters, and formalizes coherent regimes in one, two, and three dimensions (D1–D3). Within this framework, a six-parameter coherent 3D structure is analyzed as a structural model that restores orientational symmetry without challenging established algebraic classification results. This work forms part of a broader structural investigation into scalar restriction, orientation, and dimensional coherence in classical mathematical systems. This work forms part of the research program Model of General Quasi-Coherence (MGQC).
Author: Dominguez-Digat, Antonio
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7129306108