Relational Coherence Theory

This work presents a relational coherence framework in which physical behaviour emerges from local relational update rules subject to stability and conservation constraints.

Rather than introducing quantum wavefunctions, spacetime, dark matter, or modified gravity as fundamental primitives, the framework explores how such effective descriptions may arise from an underlying relational substrate. The formal structure is developed using relational coherence evolution equations (RCEEs), which define how coherence, mismatch, and relational flow evolve across scales.

The paper is explicitly foundational and exploratory in scope. It does not claim to replace established physical theories, but instead aims to provide a consistent ontological and mathematical scaffold within which existing theories and observed regularities may be interpreted as effective regimes.

Illustrative numerical implementations are included to demonstrate qualitative structural behaviour in representative cases, including bound-state stability and large-scale rotational phenomenology. These examples are intended to clarify conceptual features rather than provide precision fits.

The work is intended for researchers interested in foundational physics, relational ontologies, and the emergence of effective physical laws from non-object-based substrates.