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inaciovasquez2020/README.md

Inacio F. Vasquez

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.

Start here

What URF is

URF is a repository-governed framework for separating verified structure, conditional reductions, executable certificates, and open frontiers.

What URF is not

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.

Current status

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.

Repository dependency map

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

Verification principle

Build PASS means repository verification passed. It does not mean theorem-level closure unless the relevant repository explicitly states and verifies theorem-level closure.

Links

Current public frontier status

Last updated: 2026-06-19

Profile repository

  • 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.

Active public reference surfaces

  • 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.

Current June 2026 status snapshot

  • 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 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.

Verification principle

  • 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.

Public repository set

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

Pinned Loading

  1. urf-core urf-core Public

    Trusted base of definitions, schemas, and verification artifacts for the Unified Rigidity Framework

    Python

  2. chronos-urf-rr chronos-urf-rr Public

    Flagship executable URF/Chronos implementation with verified build and test surface

    Python

  3. frontier-status-dashboard frontier-status-dashboard Public

    Public dashboard for repository integrity, CI health, theorem-boundary status, and external-review readiness.

    TypeScript

  4. inaciovasquez2020 inaciovasquez2020 Public

    GitHub profile README and URF start-here map

    Python

  5. urf-textbook urf-textbook Public

    Canonical URF exposition, archive, and release-facing documentation layer

    Python

  6. vasquez-index vasquez-index Public

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

    Python