A Mathematical Framework for Emergent Structure
Coherence Geometry is a tool and framing construct that assists STEM practitioners to solve challenging problems across mathematics, physics, biology, computation, and signal processing.
Rather than prescribing domain-specific variables or symbolic rules, the framework describes a single underlying mechanism — interactions coupled through a shared amplitude, shaped by constraints — from which patterns arise, stabilize, or dissolve. Two equivalent representations provide complementary views: a geometric form emphasizing configuration and curvature, and an algebraic form emphasizing operators and compositional relations.
Coherence Geometry is not proposed as a replacement for existing mathematics or physics — it is a substrate framework from which established forms may be derived under constraint. The Conceptual Overview describes how this layered organization relates to physical, informational, and inference frameworks.