Unified Capacity–Locality Problem (UCLP): a decision framework for bounded locality, bounded information injection, and valid progress accounting in polynomial-time computation. Includes the canonical CutStrings benchmark and URF-ADMISSIBLE predicate.

URF Spine — canonical spine of the Unified Rigidity Framework: normal forms, invariants, and formally verified core constructions.

URF Counterexamples — certified counterexamples and boundary cases for the Unified Rigidity Framework, clarifying limits and failure modes.

Terminal Rigidity Witness (ERB) — executable certificates demonstrating terminal rigidity and no-escape obstructions under bounded locality and capacity.

URF Reproduce — end-to-end reproduction harness for Unified Rigidity Framework results, with deterministic environments, scripts, and verification logs.

Vasquez Index — canonical index and navigation hub for the Unified Rigidity Framework, publications, repositories, and executable artifacts.

Scientific Infrastructure — reproducible research tooling: deterministic builds, CI pipelines, provenance, manifests, and executable verification.

Final Wall (FOᵏ Locality) — terminal obstruction results for FOᵏ locality, proving rigidity walls and limits of refinement-based computation.

URC Minimal Blockchain — minimal, auditable blockchain core illustrating capacity, locality, and rigidity constraints with deterministic verification.

Public audit trail and structured open-review index for URF manuscripts, certificates, and verification artifacts.

Capacity–Locality Certification — executable certification framework validating systems against capacity bounds and locality constraints.

URF Core — foundational axioms, definitions, and theorems of the Unified Rigidity Framework, serving as the minimal trusted base.

URF Prefab System — canonical prefab constructions and normal forms for the Unified Rigidity Framework, enabling reproducible instantiation of certified rigidity results.

Unified Capacity–Locality Problem (UCLP): a formal decision framework for bounded locality, information capacity, and progress accounting in polynomial-time computation. Includes the canonical CutStrings benchmark and URF-ADMISSIBLE criteria.

Chronos–EntropyDepth — information-theoretic limits on refinement and computation; entropy depth bounds, certificates, and executable witnesses.

Operational Wavefunction Collapse — operational and information-theoretic framework for measurement collapse with executable consistency checks.

URF Axioms — formal axiomatization of the Unified Rigidity Framework, defining primitives, admissibility conditions, and base invariants.

Exchange Force Framework — structural exchange-force model unifying interaction, capacity, and rigidity constraints with executable consistency checks.

Chronos–URF RR — reference implementation of Chronos entropy-depth bounds and rigidity results within the Unified Rigidity Framework.

NCR (ISR) — compressed decision-diagram update regime exhibiting implicit superposition with normalization-failure certificates under transcript budgets.