UTV-Ω v1.0: Universal Thermodynamic Vocabulary for Open Dynamical and Intelligent Systems

Abstract This document defines UTV-Ω v1.0, a universal, substrate-independent thermodynamic vocabulary for describing open, non-equilibrium dynamical systems, including physical, biological, computational, and intelligent systems. UTV-Ω specifies a minimal ontology of state-space primitives, stability structures, thermodynamic quantities, transition operators, and viability constraints that remain invariant under changes of scale, substrate, or implementation. The vocabulary is intentionally non-anthropocentric and avoids representational or semantic assumptions. It provides a rigorous, machine-readable foundation for analyzing attractor structures, flux and gradient dynamics, irreversibility, dissipation, and viability domains in any open system. This release (v1.0) includes a formal JSON-LD ontology defining the core UTV-Ω classes and relations. It is designed for physics, AI research, systems biology, cybernetics, and any field requiring a universal descriptive grammar for open-system stability and transition analysis. Long Description UTV-Ω v1.0 establishes a universal thermodynamic vocabulary that applies across all open, non-equilibrium systems. Its purpose is to offer a minimal, irreducible conceptual framework capable of describing the stability, transitions, energetics and viability of systems regardless of substrate (physical, biological, computational, or intelligent). The ontology formalizes five major term groups: State-Space PrimitivesConcepts such as state, phase space, trajectory, manifold, constraint surface, and invariant set that define the geometry of possible system configurations. Stability and Attractor StructuresIncluding attractor, basin, separatrix, metastability, structural stability, and critical thresholds, which determine how systems evolve under perturbation. Thermodynamic QuantitiesIncluding energy, free energy, entropy, entropy production, dissipation, gradient, and flux, capturing the driving forces of open-system dynamics. Transition and Temporal OperatorsCovering bifurcation, phase transition, relaxation time, hysteresis, and operators such as converge, diverge, stabilize, escape, and reconfigure. Viability and Constraint TermsIncluding viability domain, hard/soft constraints, robustness, failure modes, and operators for shock absorption, parameter adaptation, and viability maintenance. All definitions are designed to be: non-metaphorical observer-free substrate-agnostic compatible with physics, AI, and biological systems machine-readable and formally structured The accompanying JSON-LD ontology encodes these concepts in a structured format suitable for: automated reasoning AI model ingestion scientific referencing simulation frameworks cross-disciplinary interoperability UTV-Ω v1.0 serves as a foundational grammar for open intelligent systems, linking thermodynamics, attractor theory, and dynamical systems into one coherent, universal descriptive layer.