Independent researcher building the Unified Rigidity Framework (URF): a verification-first research program connecting rigidity, locality, entropy, formal proof surfaces, and executable status infrastructure across mathematics, computer science, and physics.
- Public front door: https://github.com/inaciovasquez2020/vasquez-index
- Core reference: https://github.com/inaciovasquez2020/urf-core
- Reference implementation: https://github.com/inaciovasquez2020/chronos-urf-rr
- Exposition: https://github.com/inaciovasquez2020/urf-textbook
URF is a repository-governed framework for separating verified structure, conditional reductions, executable certificates, and open frontiers.
URF is not presented as theorem-level closure of P vs NP, Yang--Mills, Poincare, Navier--Stokes, or any other major open problem unless a repository explicitly states and verifies that claim.
| Class | Meaning |
|---|---|
| Verified | Repository checks, CI, Lean/Python/TypeScript verification, and stated certificates pass. |
| Conditional | A result depends on explicitly named assumptions or external theorem inputs. |
| Open | A frontier object remains unresolved. |
| Not claimed | Build success, dashboard status, or executable evidence does not imply theorem-level closure. |
vasquez-index
|
+-- urf-core
| |
| +-- chronos-urf-rr
| +-- CorrRank
| +-- overlap-rigidity-lean-dev
|
+-- urf-textbook
|
+-- applications
| +-- biological-friction-framework
| +-- ym-os-quantization
| +-- poincare-new-derivation
|
+-- infrastructure
+-- frontier-status-dashboard
+-- non-clay-problem-closure-workspace
Build PASS means repository verification passed. It does not mean theorem-level closure unless the relevant repository explicitly states and verifies theorem-level closure.
- ORCID: https://orcid.org/0009-0008-8459-3400
- Research site: https://vasquezresearch.com
- Contact: inacio@vasquezresearch.com
Last updated: 2026-06-19
- This repository remains a documentation/profile README surface.
- It is a routing layer for public URF repositories, verification surfaces, and status boundaries.
- Profile text, repository maps, dashboards, badges, or build success do not independently establish theorem-level closure.
vasquez-index: public front door for repository routing and public status indexing.urf-core: trusted definitions, schemas, certificate boundaries, Lean/Python verification artifacts, and bounded/frontier theorem surfaces.chronos-urf-rr: flagship executable URF/Chronos implementation with verified build and test surface.theorem-closure-classifier: bounded theorem-status classifier and external validation/replay ledger.urf-textbook: exposition and release-facing documentation layer.
chronos-urf-rr: zero-visible-opaque-axiom conditional frontier status was reached in the H4.1 certified-family route; this does not claim unrestricted H4.1/FGL closure.theorem-closure-classifier: Iris-Lean external replay ladder and bounded closure proof-pattern reference are now part of the public classifier surface.urf-core: recent work continues to add bounded obligation, witness, dependency-certificate, and frontier-surface layers; these are proof-infrastructure advances, not final analytic closure.URC: container package publication surface exists for reproducible pull/run use; immutable digest/tag discipline remains part of the boundary.
- Public dashboard and profile surfaces record externally inspectable repositories only.
- Private/internal aggregate metadata is intentionally omitted from public profile status.
- No unrestricted H4.1/FGL closure is claimed.
- No UniversalFiberEntropyGap theorem is claimed.
- No Chronos-RR theorem closure is claimed.
- No Yang--Mills mass gap theorem is claimed.
- No gravity, cosmology, canonical quantization, P vs NP, or Clay-problem closure is claimed.
- Build PASS means the named repository verification passed under its stated scope.
- Conditional means the result depends on explicitly named assumptions or external theorem inputs.
- Open means the frontier object remains unresolved.
- Not claimed means executable evidence, dashboards, or profile text must not be promoted into theorem-level closure.
GitHub-visible public repository count: 19.
| Repository | Role | Status | Boundary |
|---|---|---|---|
biological-friction-framework |
Literature-bounded preclinical biology framework for resistance-state and residual-route mapping. | public; preclinical evidence-map surface; no treatment or cure claim | BOUNDARY := ¬ literature_bounded_residual_map_implies_clinical_efficacy_or_cure |
chronos-urf-rr |
Flagship executable URF/Chronos implementation and bounded frontier-reduction surface. | public; active verifier-backed frontier surface; no universal theorem closure asserted | BOUNDARY := ¬ chronos_public_ci_success_implies_frontier_or_headline_theorem_closure |
cslib-fmt |
Lean finite-model-theory support library for locality, EF games, and invariant interfaces. | public; finite-model-theory support layer; open issue classified separately | BOUNDARY := ¬ cslib_fmt_library_interfaces_imply_finite_model_theory_problem_closure |
darkness-region-dynamics-null-test |
Null-test surface for darkness-region dynamics and falsification controls. | public; null-test surface | BOUNDARY := ¬ null_test_surface_implies_positive_dynamics_claim |
dfm-mkc-cosmology |
DFM-MKC cosmology consistency-check surface for bounded deformation-field and metric-kinematic artifacts. | public; executable cosmology consistency surface; non-closure boundary explicit | BOUNDARY := ¬ dfm_mkc_executable_consistency_checks_imply_cosmology_or_gravity_closure |
fo4-constraint-isolation |
FO4 constraint-isolation boundary module for Cayley/local-rigidity arguments. | public; open-problem boundary surface | BOUNDARY := ¬ constraint_isolation_boundary_implies_terminal_math_ai_problem_closure |
frontier-status-dashboard |
Public dashboard for repository integrity, CI health, and theorem-boundary status. | public; dashboard/indexing layer | BOUNDARY := ¬ dashboard_visibility_implies_frontier_closure |
inaciovasquez2020 |
GitHub profile README and start-here repository map. | public; profile README map | BOUNDARY := ¬ profile_readme_map_implies_repository_theorem_closure |
inaciovasquez2020.github.io |
Public research website and documentation hub. | public; website/docs hub | BOUNDARY := ¬ public_website_status_implies_theorem_closure |
poincare-new-derivation |
Public Poincare proof-program repository with verifier-backed intermediate checkpoints. | public; active proof frontier; Poincare.JIID remains unproved |
BOUNDARY := ¬ intermediate_poincare_checkpoint_implies_poincare_theorem_closure |
theorem-closure-classifier |
Verification-governed theorem-closure classifier with benchmark controls. | public; classifier/control layer | BOUNDARY := ¬ classifier_label_implies_theorem_proof |
urf-11-translation-subproblem-registry |
URF-11 translation and subproblem registry for boundary-preserving reductions. | public; translation/subproblem registry | BOUNDARY := ¬ registry_tracking_implies_subproblem_closure |
urf-core |
Trusted URF base layer for definitions, schemas, certificates, and active-obligation accounting. | public; trusted-base status; active-obligation ledger tracked | BOUNDARY := ¬ zero_active_obligations_implies_universal_urf_theorem_closure |
urf-spine-public |
Sanitized public audit surface for the URF spine layer. | public; sanitized audit surface | BOUNDARY := ¬ sanitized_audit_surface_implies_private_spine_closure |
urf-templates |
Bounded outsider-demo templates for reproducible claim verification. | public; outsider-demo template layer | BOUNDARY := ¬ template_success_implies_general_scientific_claim_validation |
urf-textbook |
Canonical exposition and archive-facing URF documentation layer. | public; exposition and archive layer | BOUNDARY := ¬ exposition_or_archive_status_implies_theorem_closure |
urf-verifier |
Deterministic verifier for URF certificates, provenance checks, and reproducible validation. | public; verifier infrastructure | BOUNDARY := ¬ certificate_validation_implies_unstated_mathematical_claims |
vasquez-index |
Canonical navigation index for repositories, artifacts, publications, and boundary status. | public; canonical index layer | BOUNDARY := ¬ index_navigation_implies_repository_theorem_closure |
zero_day_restricted_closures |
Restricted-closure research surface for bounded Hyper-Kahler/K3^[n] reductions. | public; conditional reduction surface; unconditional ZeroDayClosure not proved |
BOUNDARY := ¬ conditional_zero_day_reduction_implies_unconditional_closure |
BOUNDARY := ¬ profile_repository_map_implies_theorem_level_closure



