A Scalar Unification Predicate for Curvature, Entropy, and Information Canonical Repairs, Domain Boundaries, and Coarse-Grained Invariance

This work develops a constraint-based scalar unification framework linking curvature, equilibrium entropy, and dynamical production through a minimal algebraic predicate anchored by an invariant scalar Θ. The paper formalizes admissibility conditions, deterministic metric-context repairs, bounded-gradient domain boundaries, and a canonical coarse-graining protocol preserving algebraic invariance. Dimensional hardening is completed via minimal Planck-scale compensators. The framework is explicitly falsifiable and domain-aware, separating structural closure from model-dependent dynamics.