Published March 4, 2026 | Version 1.0
Technical note Restricted

Field Guard: Empirical Validation of a Contraction-Based Stability Layer

Authors/Creators

Contributors

Rights holder:

  • 1. REAL E3 Systems Oy

Description

Finnish patent application no. 20265235, filed 11.03.2026, REAL E3 Systems Oy.

Field Guard is a deterministic, mathematically certified stability layer for real-time AI and multi-agent systems. The formal mathematical certificate is established in WP-FG-002 (DOI: 10.5281/zenodo.18831894). This paper presents the empirical validation of that certificate across 13 independent harnesses.

Validation covers four categories: mathematical verification of the certificate against the live codebase (H01–H04); adversarial and long-horizon LLM testing using self-assessment extraction (H05–H08); real-world human behaviour testing using an external wrapper with zero LLM modification (H09–H12); and a 24-agent national crisis simulation testing ISS certificate composition at multi-sector scale (H13).

Key results: drift reduction ranged from 43.0% to 61.2% across all empirical harnesses. In no harness did the governed system exceed the certified ISS bound. Zero certificate violations. In the 24-agent crisis simulation, the governed system recovered to steady state within 1 turn after peak blackout stress; the ungoverned system did not recover within the simulation window.

The Field Guard v2.0 implementation is 187 lines of executable Python, requires no GPU, and in external wrapper mode governs any target system with zero modification.

Other

Field Guard and REAL-E3 are proprietary systems of REAL E3 Systems Oy, Finland. This document discloses the mathematical stability certificate and empirical validation results for independent verification purposes only. The harness implementation code, state extraction methodology, and REAL-E3 internal architecture are proprietary and not disclosed. Publication does not constitute a licence to implement, reproduce, or deploy Field Guard or any component of the REAL-E3 architecture. This notice applies retroactively to all prior Field Guard publications by REAL E3 Systems Oy, including WP-FG-002 (DOI: 10.5281/zenodo.18831894). Licensing enquiries: info@real-e3systems.com

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Additional details

Related works

Is supplement to
Publication: 10.5281/zenodo.18831894 (DOI)

Software

Programming language
Python

References

  • Foster, J. (2026). Field Guard: A Contraction-Based Stability Layer for Real-Time AI Systems. White Paper WP-FG-002. REAL E3 Systems Oy. https://doi.org/10.5281/zenodo.18831894
  • Khalil, H.K. (2002). Nonlinear Systems (3rd ed.). Prentice Hall.
  • Sontag, E.D. (1989). Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 34(4), 435–443.
  • Bauschke, H.H. & Combettes, P.L. (2011). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer.