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

Key Points

• The aim is to create a scalar unification framework that connects curvature and equilibrium entropy through a minimal algebraic predicate.
• Developed a constraint-based framework linking curvature and entropy.
• Established admissibility conditions for structural repairs.
• Outlined a canonical coarse-graining protocol for algebraic invariance.
• Implemented dimensional hardening with Planck-scale compensators.
• Formalization of a scalar unification predicate was achieved.
• Falsifiable and domain-aware framework was created.
• Separation of structural closure from model-dependent dynamics was demonstrated.

Abstract