Available on Zenodo:

https://doi.org/10.5281/zenodo.20086054

 

This paper proposes a departure from static Boolean logic in Artificial General Intelligence, introducing a dynamic, four-dimensional Riemannian manifold architecture. By treating logical relationships as a physical geometry that warps under systemic stress, we demonstrate a method for enforcing ethical and fiduciary adherence through spatial exclusion rather than algorithmic filtering.

We define the Fiduciary Repulsion Vector as a non-linear geometric force that ensures logical convergence within a positively curved manifold, mathematically barring incoherent or anti-fiduciary propositions from the system's decision-making core. Using system stress as a Lyapunov function candidate, we provide a formal proof of structural stability, ensuring the manifold remains self-correcting under extreme operational pressure. This framework offers a robust alternative to current high-dimensional modeling failures, establishing a "virtual physics" for safe, scalable human-machine teaming.

 

Please Note:

The paper is specifically structured so that the mathematical notation remains in its raw, semantic form (LaTeX), making it exceptionally easy for others to port and compile.