Layer 1 introduces the minimal mathematical objects of RFT. Later layers develop these objects into broader formal structures.
This page presents the minimal mathematical structure underlying Relational Field Theory (RFT).
The objective is not to provide a complete formal theory, but to identify the smallest set of mathematical relationships required to describe coherence, persistence, and regime-dependent behavior.
Rc(x,t) ∈ [0,1]
Relational coherence within a domain.
Rc represents the degree of structural consistency maintained by the relationships that define the domain.
Ω = Ω[Rc]
Observable system behavior depends on relational coherence.
Changes in coherence may alter stability, persistence, and regime behavior.
Rc ≥ Rc*
A structure remains persistent when coherence exceeds a critical threshold Rc*.