Manuscripts & Reports

Formal pipeline for the Unified Rigidity Framework (URF).

2026 — Manuscript (Journal-First)

The Expander Obstruction and Logic-Width Dependency

Analysis of \(FO^k\) local types in bounding global structural invariants.

Theoretical CSBounded Analysis
2026 — Draft in Progress

Finite Capacity and Rigidity in Operator Systems

Exploration of URF rigidity bounds applied to finite operator systems and capacity retention.

Operator TheoryInformation Topology
2025 — Technical Report

URF-SG: A Standard for Machine-Verifiable Spectral Rigidity

Definition of the JSON schema for deterministic audit of external witnesses.

StandardizationVerification