Static Enthalpy Equilibrium (SEE): A State-Based Axiomatic Framework for Saturated Granular Systems in Gravity

This work introduces Static Enthalpy Equilibrium (SEE), a state-based and axiomatically defined framework for saturated granular systems in a gravitational field. SEE defines stability as energetic admissibility in state space, independent of stress paths or loading history. A configuration is admissible if and only if it corresponds to a local minimum of a scalar static enthalpy state level. Instability, collapse, and liquefaction arise as intrinsic energetic phenomena when no admissible state exists. The framework separates state selection from dynamic evolution: admissible configurations are determined by the structure of the energetic state space, while dynamics and dissipation govern only the transition paths and time scales between states. A lamellar representation is introduced to connect the abstract formulation with real systems and evolving geometries. Explicit constructions demonstrate that SEE is not merely conceptual but admits direct analytical and computational realization. SEE implies density-controlled stability limits, spontaneous liquefaction without external triggering, path-independent end configurations, and repeated instability under evolving boundary conditions.