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Week 7 Formalization Series

Week 7 · Published May 31, 2026 · Paper 45 of 383

Formalizing Mariana Trench Geometry

The Mariana Trench represents the most extreme depth expression currently identified on Earth. Previous papers examined its observational significance and role within global extremes analysis.

This paper formalizes trench geometry using descriptors including maximum depth concentration, trench continuity, confinement ratio, directional persistence, curvature, and adjacent structural relationships.

The objective is to create a repeatable framework for comparing trench systems against basins, mountain chains, ridges, and other large-scale geological structures.

By treating trench geometry as a measurable category, extreme-depth environments can be incorporated into broader structural comparison frameworks.

This paper establishes formal descriptors for planetary-scale trench morphology and depth organization.

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