Emerging Concepts in Relational Systems HERO Mathematics presents a conceptual mathematical ontology and universal audit language for examining relational conditions within complex public systems. Positioned within the broader Murungidyal Framework architecture, the manuscript explores how relational dynamics, including trust, continuity, cultural safety, institutional stability, and systems fragmentation, may influence long-term structural performance across interconnected governance domains. The paper introduces a series of conceptual models and symbolic audit structures, including: • The Tri-Domain Constant ➔ Proportional relational visibility parameters. • Relational Debt (Dr) ➔ Compounding hidden fiscal liabilities. • The Relational Multiplier (Rm) ➔ Nonlinear asset amplification coefficient. • The Informal Infrastructure Subsidy (Si) ➔ Unpriced community labor buffer. • The Systemic Equilibrium Audit (Sea Matrix) ➔ Unified cross-sector audit framework. • Cross-Sector Pressure Redistribution dynamics ➔ Vector tracking of reallocated strain. Rather than functioning as a traditional economic model, the manuscript proposes an emerging relational systems audit language capable of translating hidden social, institutional, and intergenerational pressures into traceable structural behaviours. The work operates at the convergence of systems cybernetics, governance analysis, relational systems thinking, and macro-level institutional dynamics. It is presented as a conceptual and theoretical working paper intended to support ongoing discussion surrounding whole-of-person governance, relational continuity, and cross-sector systems accountability. Murungidyal reflects relational systems principles grounded in Indigenous continuity, stewardship, and interconnected knowing.
CHRYSTALE LANGFORD (2026) studied this question.