RM-05 — Ω Relational Geometry

RM-05 introduces Ω Relational Geometry, a structural instrument for analysing nested relational containment within the Reality Mechanics framework. Following the architectural description of nested relational structure in RM-04 (Reality Mechanics Core), this document defines a representation of containment structures using binary trees (Ω-trees) and introduces a minimal scalar invariant that measures structural configuration. Local reassociation between containment structures is represented through Tamari rotations, forming the adjacency graph of the associahedron. This provides a configuration space for nested relational structures while remaining independent of domain-specific interpretation. Ω Relational Geometry therefore provides a minimal, domain-agnostic measurement instrument for analysing containment structure and its transformations within relational systems.