Voxel-Addressable Memory: A Unified Spatial Index for Sovereign AI

We present a memory architecture for long-context language models built on one idea borrowed from voxel game engines: partition a continuous space into cells, store only the occupied cells, and look them up without scanning. The AAMT routing stack already encodes such a partition (the 4-bit Meji and 8-bit Odu lattices); we formalize it as a strict coarse-to-fine voxel hierarchy over the TERA cube — a hexadeca-tree in which Meji is recoverable from Odu by high-bit extraction and a Morton key packs both levels — and extend it with a learned sub-voxel residual indexed by a navigable small-world graph (HNSW). The result is a two-tier rolling memory whose effective context grows from a fixed working set to a million-item global store at constant attention cost. Measured on an Apple M1 Max (32 GB) against the platform's own corpora: a 64% relative gain in retrieval recall@10 from composable levers (bge-large embedding, PCA-whitening, Hopfield consolidation), full recall retention at a 285× scan-cost reduction on a 1M-item HNSW store, and an honest negative result on off-the-shelf cross-encoder rerankers. WP-20 extends WP-15 (Vortex-Addressed Semantic Memory) with the residual and graph index it left open.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20887481
Primary Topic
Graph Theory and Algorithms
Type
article
Field-Weighted Citation Impact
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article

Voxel-Addressable Memory: A Unified Spatial Index for Sovereign AI

Weslyn Cory Whitehead
Zenodo (CERN European Organization for Nuclear Research)
Graph Theory and Algorithms
article

Voxel-Addressable Memory: A Unified Spatial Index for Sovereign AI

Weslyn Cory Whitehead
article en

Abstract

We present a memory architecture for long-context language models built on one idea borrowed from voxel game engines: partition a continuous space into cells, store only the occupied cells, and look them up without scanning. The AAMT routing stack already encodes such a partition (the 4-bit Meji and 8-bit Odu lattices); we formalize it as a strict coarse-to-fine voxel hierarchy over the TERA cube — a hexadeca-tree in which Meji is recoverable from Odu by high-bit extraction and a Morton key packs both levels — and extend it with a learned sub-voxel residual indexed by a navigable small-world graph (HNSW). The result is a two-tier rolling memory whose effective context grows from a fixed working set to a million-item global store at constant attention cost. Measured on an Apple M1 Max (32 GB) against the platform's own corpora: a 64% relative gain in retrieval recall@10 from composable levers (bge-large embedding, PCA-whitening, Hopfield consolidation), full recall retention at a 285× scan-cost reduction on a 1M-item HNSW store, and an honest negative result on off-the-shelf cross-encoder rerankers. WP-20 extends WP-15 (Vortex-Addressed Semantic Memory) with the residual and graph index it left open.

Zenodo (CERN European Organization for Nuclear Research)
Klamath Community College (US)
Openalex Percentile: Top 5%
Graph Theory and Algorithms
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