Definition of Coherence Geometry

Coherence Geometry (CG) is a mathematical framework for describing how structure and organization arise from a coherent substrate shaped by constraints.

In this setting, systems are not treated only as collections of separate parts. They are studied through the way their components align, interact, reinforce, interfere, or fail to fit together. Constraints determine which configurations can persist. Stable configurations appear as coherent structure; unstable ones collapse, separate, or form defects and boundaries.

The framework begins from a multi-phase description of coherence, but its purpose is broader: to understand how organized patterns emerge and how those patterns appear when projected into different domains such as mathematics, physics, computation, biology, or information systems.

Coherence Geometry does not replace existing domain theories. It provides a substrate language for studying the formation, stability, transformation, and projection of structure across those theories.

For the formal definitions of μ-numbers, local synergy rules, coherence energy, coherence basins, and the canonical CG convergence and stability results, see Canonical Foundations or explore the initial chapters of Part I of the working textbook at Foundation Texts.

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