Mathematical frameworks grounding the P31 ecosystem. All publications open-access. ORCID: 0009-0002-2492-9079
A geometric proof demonstrating that the K4 complete graph — the tetrahedron — represents the minimum isostatic structure (Maxwell's condition: 3V−E=6 satisfied at V=4, E=6). The paper extends this to argue that decentralized systems built on K4 topology are inherently more stable than hub-and-spoke architectures under the same load, because each node maintains three independent load paths.
Companion open-source implementation demonstrates the topology applied to OHLCV price data mapping in K-space, revealing structural patterns invisible in standard 2D charts. Published on Zenodo with open-source code included.
Formal specification of the P31 ecosystem's theoretical foundations. Covers the SIC-POVM (Symmetric Informationally Complete Positive Operator-Valued Measure) measurement framework adapted for cognitive prosthetics, the EDE (Everything Development Environment) architecture, Q Distribution spoon tracking, and Samson's Law entropy formalization.
Five white papers deposited to the Internet Archive on February 25, 2026 as defensive prior art publications. Purpose: establish public record of invention dates and prevent future patent claims from blocking open-source implementations of these systems.
Electrical systems theory applied to cognitive sovereignty and grounded identity formation.
Touch-based molecule bonding interaction patterns; prior art for haptic AT interfaces.
Hardware decoding architecture for SIC-POVM measurement in embedded systems.
Structural framing of assistive technology as life-critical infrastructure, not luxury.
Analysis of 35 U.S.C. §101 abstract idea doctrine applied to cognitive prosthetic software.
Real-time documentation of re-engineering the human operator. Research that grounds our tools — ion channel biophysics, cognitive sovereignty, assistive technology.
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