TetraMem-XL: A Tetrahedron-Based Eternal Memory System with Topological Self-Organization and Dream-Driven Emergence
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2026
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| _version_ | 1866901601218723840 |
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| author | Liu, Qihang |
| author_facet | Liu, Qihang |
| contents | <p>We present TetraMem-XL, a geometric memory system for AI agents that replaces vector embeddings with 3-simplices (tetrahedra) in a dynamic topological mesh. Memory is stored directly on tetrahedra, and all retrieval, association, and reorganization operate via pure geometric primitives—shared faces, edges, vertices, and topological BFS navigation—with zero vector similarity computation.</p> <p>The system enforces four core principles: <strong>Eternity</strong> (no memory is ever deleted or decayed), <strong>Integration</strong> (continuous abstraction and recombination via secondary memory fusion), <strong>Self-Emergence</strong> (autonomous dream cycles that synthesize new concepts from existing memories), and <strong>Closed-Loop Cognition</strong> (Memory → Think → Execute → Reflect → Integrate → Dream → Memory).</p> <p>Key technical innovations include: (1) <code>MemoryTetrahedron</code> with <code>secondary_memories</code> and abstract reorganization (content synthesis, label consolidation, theme extraction), (2) a 7-dimensional topological fusion quality score, (3) <code>DreamProtocol</code> with structured THINK → EXECUTE → REFLECT phases and quality gating, (4) <code>DreamStore</code> with full provenance tracking and source indexing, (5) distributed spatial bucketing with Ghost Cell v2 (version tracking + stale detection + batch verification). Experiments on a 1-core 2GB server demonstrate 100% eternity preservation across 5 dream cycles, average fusion quality of 0.641, and stable distributed operation across 6 spatial buckets with 200 tetrahedra.</p> <p><strong>Keywords</strong>: Persistent Homology, Simplicial Complex, Eternal Memory, Self-Emergence, Geometric AI Memory, Topological Data Analysis</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19816916 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | TetraMem-XL: A Tetrahedron-Based Eternal Memory System with Topological Self-Organization and Dream-Driven Emergence Liu, Qihang Persistent Homology Simplicial Complex Eternal Memory Self-Emergence Geometric AI Memory Topological Data Analysis Cognitive Closed Loop Dream Cycle <p>We present TetraMem-XL, a geometric memory system for AI agents that replaces vector embeddings with 3-simplices (tetrahedra) in a dynamic topological mesh. Memory is stored directly on tetrahedra, and all retrieval, association, and reorganization operate via pure geometric primitives—shared faces, edges, vertices, and topological BFS navigation—with zero vector similarity computation.</p> <p>The system enforces four core principles: <strong>Eternity</strong> (no memory is ever deleted or decayed), <strong>Integration</strong> (continuous abstraction and recombination via secondary memory fusion), <strong>Self-Emergence</strong> (autonomous dream cycles that synthesize new concepts from existing memories), and <strong>Closed-Loop Cognition</strong> (Memory → Think → Execute → Reflect → Integrate → Dream → Memory).</p> <p>Key technical innovations include: (1) <code>MemoryTetrahedron</code> with <code>secondary_memories</code> and abstract reorganization (content synthesis, label consolidation, theme extraction), (2) a 7-dimensional topological fusion quality score, (3) <code>DreamProtocol</code> with structured THINK → EXECUTE → REFLECT phases and quality gating, (4) <code>DreamStore</code> with full provenance tracking and source indexing, (5) distributed spatial bucketing with Ghost Cell v2 (version tracking + stale detection + batch verification). Experiments on a 1-core 2GB server demonstrate 100% eternity preservation across 5 dream cycles, average fusion quality of 0.641, and stable distributed operation across 6 spatial buckets with 200 tetrahedra.</p> <p><strong>Keywords</strong>: Persistent Homology, Simplicial Complex, Eternal Memory, Self-Emergence, Geometric AI Memory, Topological Data Analysis</p> |
| title | TetraMem-XL: A Tetrahedron-Based Eternal Memory System with Topological Self-Organization and Dream-Driven Emergence |
| topic | Persistent Homology Simplicial Complex Eternal Memory Self-Emergence Geometric AI Memory Topological Data Analysis Cognitive Closed Loop Dream Cycle |
| url | https://doi.org/10.5281/zenodo.19816916 |