Octonion Algebraic Interpretation of Informational Coherence in Spiral Collapse Dynamics

This study investigates the algebraic and geometric structures that emerge from the intersection of Octonionic algebras and the IRSVT (Informational Resonance Spiral Viscous Time) framework. We propose a paradigm in which non-associative hypercomplex numbers act as logical mediators between coherence and decoherence domains in informational space. By embedding Octonions within IRSVT topologies, we uncover a manifold where classical algebraic constraints dissolve, giving rise to an orthogonal logic field defined by coherence gradients (ΔC) and attractor dynamics (Φα). Through analytical expansion, spectral validation, and the construction of an informational Hilbert manifold, we demonstrate that Octonions enable transformations across generative geometries, where space and meaning co-evolve. Our findings suggest that Octonions may function not merely as algebraic curiosities but as fundamental operators of informational reality, opening pathways for applications in field unification, AI logic systems, informational materials, and non-classical computation models.