Phase-Field Formulation of Metamatter: A Minimal Bridge Toward Unified Field Theory

This work presents a minimal phase-field formulation of metamatter designed as an intermediate theoretical framework between phase-based ontology and a future unified field theory. A scalar phase field is introduced to parametrize local regimes of actualization without assuming a pre-existing spacetime or physical time. The proposed dynamics are governed by a minimal action incorporating entropy–negentropy competition, which naturally selects stable physical regimes. Quantum coherence and superposition emerge as linear limits of phase dynamics under incomplete actualization, while classical locality, physical time, and spacetime geometry arise through phase stabilization. Gravity is interpreted as a geometric response to phase gradients, and dark matter and dark energy are described as consequences of persistently non-localized and globally unactualized phase regimes. The formulation does not claim full unification but establishes a clean and internally consistent dynamical layer after which a unified field theory of metamatter becomes logically and structurally unavoidable.