URC Minimal Blockchain — minimal, auditable blockchain core illustrating capacity, locality, and rigidity constraints with deterministic verification.
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Updated
Feb 13, 2026 - Python
URC Minimal Blockchain — minimal, auditable blockchain core illustrating capacity, locality, and rigidity constraints with deterministic verification.
Chronos–EntropyDepth — information-theoretic limits on refinement and computation; entropy depth bounds, certificates, and executable witnesses.
URF Counterexamples — certified counterexamples and boundary cases for the Unified Rigidity Framework, clarifying limits and failure modes.
Final Wall (FOᵏ Locality) — terminal obstruction results for FOᵏ locality, proving rigidity walls and limits of refinement-based computation.
Scientific Infrastructure — reproducible research tooling: deterministic builds, CI pipelines, provenance, manifests, and executable verification.
Capacity–Locality Certification — executable certification framework validating systems against capacity bounds and locality constraints.
Chronos–URF RR — reference implementation of Chronos entropy-depth bounds and rigidity results within the Unified Rigidity Framework.
Exchange Force Framework — structural exchange-force model unifying interaction, capacity, and rigidity constraints with executable consistency checks.
URF Prefab System — canonical prefab constructions and normal forms for the Unified Rigidity Framework, enabling reproducible instantiation of certified rigidity results.
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.
Terminal Rigidity Witness (ERB) — executable certificates demonstrating terminal rigidity and no-escape obstructions under bounded locality and capacity.
URF Core — foundational axioms, definitions, and theorems of the Unified Rigidity Framework, serving as the minimal trusted base.
Vasquez Index — canonical index and navigation hub for the Unified Rigidity Framework, publications, repositories, and executable artifacts.
NCR (ISR) — compressed decision-diagram update regime exhibiting implicit superposition with normalization-failure certificates under transcript budgets.
Rank Dichotomy Theorem for CAT(0) Cube Complexes (canonical)
Cycle-Local Rigidity — locality-based rigidity from cycle structure; executable witnesses and proofs of local-to-global obstruction.
Description Radiative Rigidity — structural rank-1 constraints on long-distance electroweak radiative corrections with executable consistency tests.
DFM–MKC Cosmology — deformation-field and metric-kinematic consistency framework with executable checks under bounded locality and capacity.
Inacio Vasquez — public research site and documentation hub for the Unified Rigidity Framework, publications, and executable artifacts.
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