Manuscripts, Certificates, and Standards

Repository-backed publication and artifact map for the Vasquez research program.

Featured Infrastructure Update — URF-11 Registry Layer

The URF-11 registry work is now publication-facing. Subproblem records are canonical in urf-core (Commit 606f147), and translation-rule records are the next public consistency layer via PR #282.

Foundations and Complexity

Final Wall (FO^k Locality)

Terminal obstruction results for FO^k locality and refinement limits.

Cycle-Local Rigidity / CorrRank

Cycle-overlap rigidity and the FO^k bridge.

Chronos–EntropyDepth / transcript-capacity-core

Entropy-depth, transcript capacity, and executable lower-bound witnesses.

Cyclone Terminal Obstruction

Admissibility, locality, and terminal-obstruction surfaces.

Formalization and Standards

URF-SG / urf-verifier / capacity-locality-certification

Deterministic verifier and certification stack for program-wide reproducibility.

urf-axioms / urf-spine / flagship-lean

Formal axiomatization and canonical module layer for Lean-facing structures.

URF-P Series / urf-open-review-ledger

Public protocol and audit-track records (URF-P-0001 / 0002 / 0003).

Mathematical Physics

rh-archimedean-kernel-rigidity

Coercivity and defect-control program for the Riemann Hypothesis.

dfm-mkc-cosmology

Dark Fluid Model with Minimal Kinetic Coupling cosmological background solver.

Exchange Force / Biological Friction Framework

Information-theoretic constraints in biological growth and exchange dynamics.

Geometry and Topology

pachner-invariant / poincare-new-derivation

Regge action invariance and Pachner moves for 3-manifold triangulations.