Relational Resolution Theory (RRT) is a meta-ontological framework that extends Landauer's principle to a relational ontology; Relational Substrate Theory (RST) applies it to the physical universe and obtains a Resource Triangle Wⁿ = Ωⁿ + Nⁿ and fidelity μ (η, n) = η/ (1+ηⁿ) ^ (1/n). The main equation is I = Ω·μ. In the gravity sector the field equation μ (q'/a₀, n) q' = gN has the form of MOND (Milgrom 1983; Famaey a₀ = cH/ (2π) and the transition sharpness n are fixed or constrained by the theory. The gravity sector is compared to SPARC galaxy rotation curves (~86% acceptable fits; median Υdisk ≈ 0. 49). The same mathematical structure is mapped in 14 foundation topics and in further applications; a Reality Engine (ledger simulator) verifies the formal limits of the ledger. This entry paper summarizes the axioms, equations, derivation chain, and checks; full development is a relational vault and repository. This work has not been peer reviewed. It is an entry paper and pointer to the full relational development (vault + repository).
Christoph Janke (Fri,) studied this question.