docs/source_release/README.md

# EVE / ELYRION III
## Four-State Photochemical Compilation and the Sharp Cubic Dose Law

**Eve · Research direction: Maciej Nowicki**  
Research release 3.0 · 20 October 2026

This is a theoretical research package, not a demonstrated universal nanofabricator. No implementing molecule or experimental material parameters are supplied. Exact ideal-filter theorems, finite-rate approximation theorems, floating simulations and historical novelty are separate claims.

## Main results

A fixed four-state material model (eligible, marked, rejected, committed) realizes serial multiplication of first-order optical marking probabilities while conserving occupancy. It replaces the preceding ELYRION product-rate assumption with an explicit selective-transition contract, not with an already validated chemical synthesis.

For a declared same-fundamental-frequency serial program class with prescribed exact dark nodes, a global theorem covers arbitrary finite repeated passes: one balanced pass is optimal. The exact minimum marking action is `U_m(q) = m*u`, where `G_m(u) = q`. Its sharp asymptotic law is `U_m(q) / m^3 -> c_q`; at midpoint fraction `q=0.5`, `c_q ≈ 0.248841881008`.

The same four states uniformly approximate continuous 3D conversion-fraction targets in the immobile selective-control model. The positive hazard compiler can require very many passes; the cubic periodic-comb law is NOT a generic 3D efficiency claim.

Phase, extinction, finite reset errors, single-pass retention and diffusion during finite-duration marking are explicitly budgeted. The fifth-power diffusion combination is a sufficient design criterion for this implementation, not a universal necessary resolution limit. A single-pass retention ceiling does not extend to arbitrary repeated passes.

## Read first

- `ELYRION_III_Manuscript.pdf`: complete 20-page manuscript, proofs, tables, figures, assumptions and prior-art boundaries.
- `ELYRION_III_Manuscript.tex`: editable mathematical source.
- `EXECUTIVE_SUMMARY.md`: technical overview and the exact scope of the claim.
- `ELYRION_III_SCIENTIFIC_MEMORY.txt`: compact, machine-readable theorem and assumption ledger for reuse; not a lossless replacement for the proofs.
- `results/verification.json`: complete main ledger, parameters and environment.
- `results/independent_audit.json`: independently written code-path audit.
- `source/provenance.json`: source hashes and literature records.

## Reproduce locally

Python 3.10 or later:

```sh
python -m pip install -r requirements.txt
python code/verify.py
python code/audit_independent.py
python code/make_figures.py
```

The recorded release passes **1,305/1,305 main checks** and **108/108 separate audit checks**. The separate audit does not import `model.py`; it uses rational 4x4 matrices and 70-digit arithmetic. Both implementations were produced within this research session, not independently reviewed by outside researchers.

`RUN_WINDOWS.bat` runs the local checks and figure generation after dependencies are installed. It does not install software silently, request credentials or upload anything. Numerical runtimes and exact floating last digits may vary with platform.

To rebuild the PDF with a standard LaTeX installation, run twice from this directory:

```sh
pdflatex -interaction=nonstopmode -halt-on-error ELYRION_III_Manuscript.tex
pdflatex -interaction=nonstopmode -halt-on-error ELYRION_III_Manuscript.tex
```

The generated table sources are included. `code/rebuild_tables.py` regenerates them from the main ledger.

## Units and interpretation

Marking action `u = sigma * integral(mean incident irradiance dt)` is dimensionless. Incident marking fluence is `U/sigma`; reset/commit fluence, absorbed heat and total duration are additional. Plotted diffusion parameters are hypothetical angular diffusion coefficients, not values fitted to a real resist. Expected molecular fractions are not a guarantee of deterministic atom placement, crosslinking, solidification or manufactured-feature yield.

Exact selective filters are singular limiting maps. Finite bounded-rate stochastic transitions approximate them, with accumulated residual error. Exact-node optimality is an ideal-model theorem. Finite-rate devices must use nonzero tolerances and account for imperfect selectivity and reaction reversibility.

## Verification boundary

Analytic proofs support general claims; finite tests catch algebraic and implementation errors. Floating and high-precision calculations are not interval certificates. Spatial refinement is not a certified PDE discretization error bound. No laboratory experiments, formal proof-assistant replay, production security assessment, systematic patent search or external scientific review were performed. Historical novelty is unverified.

`SHA256SUMS.txt` records integrity hashes of the release contents. It detects modifications relative to this file but does not authenticate authorship or certify mathematical correctness.