Research & IP
Five patents. Three papers.
Two journals. 13.8 billion proofs.
The STS-001 architecture is backed by patent protection and submitted mathematical research. The authorization layer is deterministic by design, not a probabilistic model.
U.S. Provisional Patent Applications · STS-001 Family
Provisional applications share a common title per USPTO convention — each covers a distinct scope described below.
Core multi-plane architecture. Structural separation across Governance, Reasoning, and Persistence planes; TAOs as mandatory preconditions for system-of-record writes; append-only audit receipts.
TAO protocol expansion: identity binding, cryptographic verification, single-use authorization, and structured governance workflow as a mandatory sequential pipeline.
Persistence-layer enforcement and deterministic mathematical authorization for governed writes before durable state changes occur.
Governed model operations, telemetry, resource-control principles, and exhaustive verification of the authorization structure across 13.8B+ cases.
Generalized finite mathematics for deterministic authorization and broader proof coverage across nontrivial system structures.
Inventor: Ahmed M. Mansour · Non-provisional target: April 2027
Author Profile
Ahmed M. Mansour
ORCID 0009-0000-7448-419X
Zenodo · Open-Access Records (CC BY 4.0)
Governed Computing and Deterministic Authorization — Mathematical Foundations of STS-001
110-page open-access textbook covering the complete mathematical foundations: finite chain ring structures, the deterministic separation property, exhaustive verification methodology, and the governance architecture derived from it.
DOI 10.5281/zenodo.20473485 ↗Deterministic separation theorem for governed authorization
Establishes the core separation theorem: the authorization structure cannot collapse to a self-certifying loop. Verified exhaustively across 13.8B+ cases at p=7. Submitted to IEEE Transactions on Information Theory.
DOI 10.5281/zenodo.20473560 ↗Extension results for finite authorization structures (Gap-3 phenomenon)
Establishes the Gap-3 bound — the uniform maximum minimum distance ceiling for circulant systematic codes over odd-prime rings — and its implications for authorization structure design. Submitted to IEEE Transactions on Information Theory.
DOI 10.5281/zenodo.20427913 ↗Deterministic evaluation methods for governed systems
Covers finite-pattern engine design and deterministic evaluation across nontrivial system structures. Extends the mathematical results to broader proof coverage. Submitted to Elsevier Finite Fields and Their Applications.
DOI 10.5281/zenodo.20473827 ↗Journal Submissions · Under Peer Review
IEEE Transactions on Information Theory
Deterministic separation theorem for governed authorization
Under peer review · Submitted May 2026
Preprint on Zenodo ↗IEEE Transactions on Information Theory
Extension results for finite authorization structures
Under peer review · Submitted May 2026
Preprint on Zenodo ↗Elsevier Finite Fields and Their Applications
Deterministic evaluation methods for governed systems
Under peer review · Submitted May 2026
Preprint on Zenodo ↗Plain-Language Explanation
"The Gap-3 Phenomenon" — what the exhaustive 13.8B+ case verification found and what the uniform ceiling means for the authorization structure, in plain language.
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