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February 19, 20260 citationsOpen Access

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

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NBNick Brown

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

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.

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Cite This Study

Nick Brown (2026) studied this question.

synapsesocial.com/papers/6996a7a5ecb39a600b3ed8a7https://doi.org/10.5281/zenodo.18664655
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