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message: "If you use POLYDIM, EinsofOS, or the PMTP Zero-Copy Stiefel Manifold IPC Architecture in your research or software, please cite it using the following metadata."
title: "Dimension Is All You Need: Eradicating the 1D Worm Collapse via Native High-Dimensional Manifold Inter-Process Communication in S^{D-1}"
type: software
version: "1550.26505"
date-released: "2026-11-01"
doi: "10.5281/zenodo.21136742"
url: "https://github.com/AGT1973/POLYDIM_EINSOF"
repository-code: "https://github.com/AGT1973/POLYDIM_EINSOF"
repository-artifact: "https://huggingface.co/Polydim-Einsof"
license: "MIT"
authors:
- family-names: "García Traba"
given-names: "Ariel H."
orcid: "https://orcid.org/0009-0001-2787-6067"
affiliation: "EinsofOS Independent Research / POLYDIM Research Initiative"
email: "polydim.einsof@gmail.com"
identifiers:
- type: doi
value: "10.5281/zenodo.21136742"
description: "CERN / Zenodo Canonical Preprint & Software Archive (Primary DOI)"
- type: doi
value: "10.5281/zenodo.21209973"
description: "CERN / Zenodo Extended Empirical & Theorem Verification Archive (Secondary DOI)"
- type: other
value: "hal-05847496v1"
description: "CNRS / HAL Open Science Archive (France)"
- type: url
value: "https://osf.io/za3s7"
description: "Center for Open Science / OSF Official Repository"
- type: other
value: "jxiv:7040"
description: "JST / Jxiv Preprint Server (Japan, Submission ID 7040)"
- type: url
value: "https://huggingface.co/Polydim-Einsof"
description: "Hugging Face Hub Official Organization & Stiefel Manifold LoRA Adapters"
keywords:
- "Riemannian Manifolds"
- "Stiefel Manifold"
- "High-Dimensional Computing"
- "Inter-Process Communication"
- "Shared Memory"
- "Information Theory"
- "Data Processing Inequality"
- "Multi-Agent Systems"
- "Zero-Copy IPC"
- "Clifford Algebra"
- "Vector AI"
- "POLYDIM"
- "EinsofOS"
- "PMTP"
abstract: >-
Contemporary Artificial Intelligence architectures universally serialize dense high-dimensional
neural representations (h in R^D, D >= 10^4) into flat 1D token sequences. Under Shannon's Data
Processing Inequality (DPI), this 1D Worm Paradigm inflicts irreversible information collapse,
injects 140 ms quadratic decoding latency per hop, and incurs massive financial costs. We introduce
POLYDIM / EinsofOS: a native high-dimensional computing paradigm where autonomous agents communicate
losslessly on continuous Riemannian manifolds (S^{D-1} and St(D, K)) via Zero-Copy Shared Memory
Inter-Process Communication (PMTP V1550+ and PMTP-v4 Triadic Fusion). Across 1,731 formal theorems
certified in PostgreSQL 16 and 26,505+ continuous physical cycles on host silicon, POLYDIM certifies
a data-path control latency of 34.8 microseconds (229.885 GB/s nominal payload-equivalent throughput
on host RAM, 139.78 GB/s sustained VRAM throughput on Dual Tesla T4 / Triton SRAM tiles), achieving
a 4,023x speedup over text tokenization with $0.00 marginal token cost and Neumaier compensated
orthonormality drift <= 10^{-15}.
preferred-citation:
type: article
title: "Dimension Is All You Need: Eradicating the 1D Worm Collapse via Native High-Dimensional Manifold Inter-Process Communication in S^{D-1}"
authors:
- family-names: "García Traba"
given-names: "Ariel H."
orcid: "https://orcid.org/0009-0001-2787-6067"
affiliation: "EinsofOS Independent Research / POLYDIM Research Initiative"
year: 2026
month: 11
doi: "10.5281/zenodo.21136742"
url: "https://doi.org/10.5281/zenodo.21136742"
identifiers:
- type: doi
value: "10.5281/zenodo.21136742"
- type: doi
value: "10.5281/zenodo.21209973"
- type: other
value: "hal-05847496v1"
- type: url
value: "https://osf.io/za3s7"
- type: other
value: "jxiv:7040"
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