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This research aims to explore how the geometric properties of AI deployment affect safety outcomes, emphasizing that deployment geometry is a critical factor.

April 20, 2026Open Access

Information Geometry of AI Deployment: Why Architecture Determines Safety Outcomes

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This research aims to explore how the geometric properties of AI deployment affect safety outcomes, emphasizing that deployment geometry is a critical factor.
Constructed the deployment manifold using Bernoulli statistical manifolds.
Applied the Čencov-unique Fisher-Rao metric to analyze deployment geometry.
Formulated six open problems at the intersection of information geometry and AI safety.
Proved that deployment geometry has a stronger influence on AI safety outcomes than model alignment.
Identified significant avenues for further research related to information geometry and AI safety.

Abstract

We construct the deployment manifold — a product of Bernoulli statistical manifolds with Čencov-unique Fisher-Rao metric — and prove that deployment geometry determines AI safety outcomes more strongly than model alignment. Six open problems at the intersection of information geometry and AI safety are formulated as a research program.

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Anthony Eckert (Sat,) studied this question.

www.synapsesocial.com/papers/69e5c42603c2939914029cae — DOI: https://doi.org/10.5281/zenodo.19644090

Information Geometry of AI Deployment: Why Architecture Determines Safety Outcomes

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