Inacio F. Vasquez

Architect of the Unified Rigidity Framework (URF). Focused on structural rigidity, information topology, and finite model theory.

0009-0008-8459-3400

Foundational Programs (Tier A)

Unified Rigidity Framework (Core) Structurally Closed

Structural resolution of the Local→Global correspondence problem under explicitly stated assumptions, using spectral gap verification in high-rank combinatorial complexes.

$$ \inf \mathrm{Spec}(\Delta_H \mid \ker(\mathrm{Per})^\perp) > 0 $$
urf-axioms final-wall-fo-k radiative-rigidity support-drift
Final Wall (CLR) — Cycle Local Rigidity Structurally Closed · Bounded Verified

Previously unresolved terminal obstruction. Reduced to the Cycle–Orbit Splitting Lemma (CLR) under bounded verification, establishing deterministic local rigidity without asymptotic claims.

(interpretive form) $$ (\Delta-1)(k-1)\rho < 1 $$
Capacity–Locality Certification (CLC) Public Standard

Formally defines bounded reliability regimes for predictive systems using URF stability criteria.

prediction-abstention structural-unreliability clc-1.0
Chronos: Entropy-Depth Integration Active Research

Temporal rigidity markers in high-complexity finite models. Integrating time-dependent entropy into URF structures.
DFM–MKC Cosmology Public Model

Dark Fluid Model resolving cosmological tension via Minimal Kinetic Coupling. Formal application of rigidity theory to gravitational models.

Formal Registry

Entries in this registry correspond to formally complete results under explicitly stated assumptions. No implicit generalization beyond the stated scope is asserted.

Engineering Layer (Tier B)

URC Minimal Blockchain Active Spec

Nakamoto-based implementation for deterministic capacity retention and URF consensus auditing.

Technical Correspondence

Institutional inquiries or verification audit requests:
inacio@vasquezresearch.com