Datasets:

PureOne
/

matter-embryogenesis

The central contribution is a conditional reliability-access window: redundancy, local error correction, reagent supply, and irreversible material conversion must be designed together. A derived reversal shows how increasing redundant volume can reduce reliability by starving repair, while maintained local supply restores a logarithmic redundancy guarantee under explicit assumptions.

This is a rigorous theoretical framework with original coarse simulations. It is not a demonstrated universal nanofabricator, a nucleotide sequence design, a validated molecular simulator, or an established priority claim.

Start here

Matter_Embryogenesis_v1.0.0.pdf: standalone manuscript with proofs, equations, results, limitations, and roadmap.
manuscript/Matter_Embryogenesis.md: full machine-readable text, including all displayed equations.
CLAIMS.json: structured claim inventory, assumptions, novelty limits, and verification status.
SOURCE_AUDIT.md: accessible primary sources and boundaries of the literature check.
REQUIREMENTS_TRACEABILITY.md: requested topics mapped to manuscript sections and code.
RESULTS.md: numerical results and negative findings.
src/: implementation and reproducible figure/PDF generators.
tests/: nine research checks of conservation, causality, reconstruction, analytical limits, and function.
results/: per-run JSON/CSV, snapshots, logs, and numerical environment record.
genomes/: exact programs used in the demonstrations.
figures/: reproducible scientific plots.

Reproduce

Python 3.10+ is required; results were generated using the Python version recorded in results/numerical_summary.json. Create a virtual environment if desired.

python -m pip install -r requirements.txt
python -m unittest discover -s tests -v
python src/run_experiments.py --reps 8
python src/transport_stress.py
python src/sanity_checks.py
python src/make_figures.py
python src/build_pdf.py

The last command rebuilds the PDF using ReportLab and fonts included with Matplotlib. No external data service, token, GPU, molecular design software, or LaTeX installation is required. Rerunning may change small numerical details across dependency versions. Exact environment versions are in ENVIRONMENT.json.

Verified computational results

96 default stochastic runs: 2 dimensions/settings x 6 conditions x 8 replicates.
Eight additional transport-stress runs: 2 supply geometries x 4 replicates.
Five independent-binomial experiments, 200,000 Monte Carlo samples each, compared with exact tails.
Nine research checks passed.
Default 3-D material fidelity: 96.28% with repair vs 82.13% without repair.
Only 2/8 reference 2-D resistor networks met the 10% conductance tolerance.
Both transport-stress conditions failed to finish by their declared deadline.

These results establish behaviour of the supplied abstract programs. They do not establish physical error thresholds or molecule-level implementation.

Assumptions that must not be omitted when reusing this research

The finite local-alphabet universality statement is conditional on ideal active tape-like macrocells and material-compatible scaffold removal.
The positive reliability theorem requires a function tolerant to any fault set smaller than its declared threshold; the circuit demonstration does not have that certificate.
The strong binomial exponent requires independent subcomponent faults; average defect density is insufficient.
The runtime and handwritten motif definitions are part of the reusable platform. The 27- and 28-byte capsules are not total programme information.
Inherited counters and the interpreter are idealized. The code has no sequence-level molecular backend.
Internal reservoir planes are externally maintained apparatus. Their autonomous growth and hydraulic feasibility are not demonstrated.
The closure DAG checker is separate from the lattice model. The latter uses local dwell/concentration locking.
Energy output is a turnover proxy, not a calibrated thermodynamic calculation.
No new laboratory experiments or independent peer review were performed.
The broad ideas of seed programs, algorithmic assembly, proofreading, hierarchy, and inorganic templating have substantial prior art.

Assessment

Status: rigorous theoretical framework. Scientific completeness 35%; mathematical completeness 60%; experimental readiness 20%; physical plausibility 55%; potential impact if validated 90%. These are subjective estimates of the bounded programme's maturity and conditional importance, not measured probabilities or a percentage solution of universal fabrication.