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March 13, 2026Open Access

The Geometric Structure of AI Failure: Hallucination as Holonomy, Drift as Non-Integrable Transport, and the 58% Void in AI's Knowledge Topology

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Authors

GMGedas Mekšriūnas

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Overview

Geometric synthesis maps AI's structural topology, revealing 58% voids that suggest new verification methods.

Key Points

  • This research aims to explore the geometric structure of AI failures and the implications of knowledge voids in AI's topology.
  • Mapped 200 concepts related to AI using phasor vectors in high-dimensional space.
  • Utilized the Omuo Genesis Engine v3.3.3 to synthesize results from a matrix of 2,378 nodes.
  • Identified and classified five geometric failure classes based on structural analysis.
  • 191 structural bridges were formed, indicating maximum tension (100% STRAINED).
  • Found that 58% of lattice axes (139 of 240) are void, revealing structural gaps in the AI field.
  • Converged on a terminal principle of Curvature-Induced Constraint Violation affecting knowledge integrity.

Cite This Study

Gedas Mekšriūnas (2026) studied this question.

synapsesocial.com/papers/69b3abc502a1e69014cccf82https://doi.org/10.5281/zenodo.18957849
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