Processing Alphabet: Transferring Computational Complexity into Static Spatial Topology with Constant Access Time O(1)

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22871219
Primary Topic
History of Computing Technologies
Type
preprint
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preprint

Processing Alphabet: Transferring Computational Complexity into Static Spatial Topology with Constant Access Time O(1)

Aleksandr Aleksandrovich Chepkasov
Zenodo (CERN European Organization for Nuclear Research)
History of Computing Technologies
preprint

Processing Alphabet: Transferring Computational Complexity into Static Spatial Topology with Constant Access Time O(1)

Aleksandr Aleksandrovich Chepkasov
preprint en

Abstract

This work formalizes the concept of "Processing Alphabet" — a comprehensive architectural standard replacing bitwise software decoding with passive coordinate-spatial navigation. Within the AxisAura paradigm, it is demonstrated that fixing an indivisible 24-bit information atom as the minimum unit of operation eliminates dynamic computational interrogation from the critical paths of data reception, transmission, and reproduction. The paper describes the mechanism of isomorphic mapping of a 24-bit core into a 32-bit hardware alignment register, enabling direct conflict-free switching of physical ROM/ASIC memory of the Global Ark (50.33 MB). Calculations of stability and throughput are presented for band-limited sub-GHz radio, laser interconnects, and quantum cryogenic systems. The superiority of atomic topology over classical von Neumann structures is substantiated. The method is fully implementable on existing commercial components: FPGA (Xilinx Artix-7), DWDM modules, SAW filters, and silicon photonics. The author invites semiconductor laboratories, quantum computing specialists, and wireless communication engineers to independent analysis, verification, and practical prototyping of AxisAura generation coordinate communication systems. Bilingual publication: English and Russian versions are included.

Zenodo (CERN European Organization for Nuclear Research)
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History of Computing Technologies
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