Quaternion Structure and Coherence Hierarchy in the Sobolev Ozok Lattice (SOL) Framework

This paper introduces a quaternion extension of the Sobolev Ozok Lattice (SOL) Model, unifying coherence, curvature, and gauge structures. Derives Maxwell like dynamics, Ricci like curvature, and a full k coherence hierarchy in quaternion space. Decleration of Tools Used: This paper was prepared and formatted using Overleaf (LaTeX editor). Text refinement and language polishing were assisted by Overleaf AI Editor. all scientific content, derivations, and conclusions are original and autored by the undersigned. This paper is part of the Sobolev–Ozok Lattice (SOL) research program. Project webpage (papers, figures, updates): https://ozokozcasol.github.io/Sobolev-Ozok-Lattice/

Keywords

discreet lattice dynamics, coherence hierarchy, emergent spacetime, field interactions, Sobolev Ozok Lattice, gauge unification, Planck-scale structure, quaternion physics, geometric algebra

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Green