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Week 7 Formalization Series

Week 7 · Published May 31, 2026 · Paper 46 of 383

Formalizing Hawaiian Chain Geometry

The Hawaiian island chain provides one of Earth's clearest examples of long-distance directional continuity. Previous papers examined alignment, spacing, and observational characteristics of the system.

This paper formalizes volcanic-chain geometry through descriptors including chain continuity, spacing regularity, directional persistence, curvature transitions, and structural coherence.

These descriptors provide a consistent framework for comparing volcanic-chain systems with ridges, fractures, mountain systems, and basin networks.

The resulting methodology allows hotspot-track geometry to be evaluated within a broader planetary structural context.

This paper completes the formalization of the major oceanic structural categories introduced during Weeks 1 through 6.

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