Development of the fundamental ontology of discrete systems, including the Philosophy of Discrete Being (FDB), axioms of coherence, actor-order, and formal definitions of locality, interaction, and structural invariants. This layer establishes the conceptual and formal ground on which all subsequent models are built.
Construction of the Coherent Observational Epistemology (COE): formal models of how observations are produced, aligned, and validated across independent localities, including consistency criteria, coherence metrics, and verification procedures for multi-component systems.
Development of operational indices such as the p-index, Unified Availability Model (UAM), and related frameworks that quantify stability, reliability, and coherence in distributed, heterogeneous, and risk-exposed systems.
Application of the foundational and epistemic frameworks to real-world system design, including IT architectures, risk models, observability systems, and complex organizational and technological environments. This layer bridges formal theory and operational practice.
Synthesis of metaphysical, epistemic, and operational layers into a unified coherent theory of discrete systems, linking structure, interaction, uncertainty, and design within a single formal framework.