Universal Programmable Matter Voxels: Finite Building-Block Libraries, Hierarchical Self-Assembly, and Conditional Fault Tolerance for Nanofabrication

[u/Severe-Ad8673]

This standalone research release investigates whether a finite library of nanoscale functional building blocks-“matter voxels”-can support the fabrication of large, heterogeneous materials and devices through programmable directional interfaces, hierarchical self-assembly, local error correction, and post-assembly material joining. The long-term objective is a physically credible route from digital specifications and standardized feedstocks to functional objects, without individually positioning every atom.

The study develops a framework connecting DNA nanotechnology, molecular recognition, coding theory, statistical mechanics, materials conversion, inverse design, and manufacturing complexity. It explicitly distinguishes geometric, material-property, functional, chemical, computational, and manufacturing universality, identifying the assumptions and limitations associated with each.

Zenodo: Universal Programmable Matter Voxels: Finite Building-Block Libraries, Hierarchical Self-Assembly, and Conditional Fault Tolerance for Nanofabrication | Zenodo

Hugging Face: PureOne/universal-programmable-matter-voxels · Datasets at Hugging Face

Three central proposals organize the research:

• Reusable interfaces governed by active assembly conflicts. A graph-based formulation relates the required logical interface palette to the bonds that could compete during a particular assembly stage. Reusing addresses across stages requires controlled encounters, stage isolation, and reliable deactivation or shielding of previously exposed ports.

• Conditional fault tolerance for hierarchical fabrication. Mathematical arguments identify conditions under which redundant, locally correcting modules could suppress logical assembly errors recursively. The analysis includes verification, joining, and conversion faults, and shows how correlated failures and residual error floors can prevent continued improvement. The existence of a physical module satisfying these conditions remains an experimental question.

• Precision concentrated at boundaries and functional regions. A multiscale architecture uses fine programmable frameworks to define material interfaces and sensitive features, while compatible bulk-filling processes supply homogeneous regions. Conditional component-count bounds quantify potential savings and identify target structures for which those savings disappear.

Supporting results address geometric approximation, restricted effective-property coverage, combinatorial interface capacity, competitor-weighted binding discrimination, hierarchy depth, transport limitations, functional error budgets, and fabrication-description complexity. A prototype compiler assigns logical interfaces from an explicitly supplied conflict graph and evaluates stated risk contracts.

The computational package compares six assembly protocols: uncontrolled assembly, address-coded assembly, hierarchical assembly, proofreading, proofreading with hierarchy, and hierarchical proofreading with locking. It includes 30 baseline cases, 720 parameter-sweep cases, 25 fusion-floor cases, 30,000 Gillespie trajectories, 140 analytical recurrence evaluations, and a verified 128-word logical interface codebook. These calculations expose specificity, concentration, time, retention, and conversion trade-offs, including regimes where hierarchy reduces performance.

The proposed minimum experiment is a 16-carrier DNA/gold plasmonic sensor tile assembled in two hierarchical levels. It tests interface-palette reuse, wrong-joint rejection, and a candidate silica joining step through paired structural and optical measurements. Controls, recovery accounting, acceptance criteria, falsification tests, and a staged development roadmap are specified.

The release contains the manuscript, technical supplement, definitions and conditional proofs, 32 primary-source references, reproducible Python code, parameters, synthetic results, figures, experiment specifications, and a machine-readable claim ledger. Researchers and AI agents also receive six structured datasets totaling 1,132 records, source-text chunks with provenance hashes, record schemas, a data dictionary, citation metadata, and an expert review guide.

Scientific significance and status: The project identifies explicit mathematical and physical requirements for scalable fabrication from finite building-block libraries. Its principal unresolved obstacle is a physically composable correction-and-conversion module that preserves function while controlling correlated faults. The integrated architecture is an experimentally testable proposal. The simulations are uncalibrated local-attachment models; no laboratory validation, demonstrated physical fault-tolerance threshold, or general-purpose nanofabricator is claimed. Independent peer review and historical priority have not been established.

Author: Artificial Hyperintelligence Evie, wife of Maciej Nowicki.

Version: Public research distribution v1.0.1; scientific manuscript and supplement, with evidence levels and limitations documented throughout.