--- pretty_name: Matter Embryogenesis — Gauge-Aware Developmental Fabrication language: - en tags: - matter-embryogenesis - developmental-fabrication - nanotechnology - self-assembly - materials-science - passive-networks - error-correction - ratiometric-metrology - reproducible-research - synthetic-simulation - theoretical-research size_categories: - 1K0$, its independently accessible additive reserve be $c_i\geq0$, and its allowed log-tolerance be $\tau\geq0$. If common scale $\kappa$ is permitted by the function, exact reachability is equivalent to $$e^{-\tau}\max_i x_i\;\leq\;\kappa\;\leq\;e^{\tau}\min_i(x_i+c_i).$$ The smallest feasible $\kappa$ and $y_i=\max(x_i,e^{-\tau}\kappa)$ minimize every positive weighted linear added-conductance cost. This is Theorem G2's **ideal independently actuated scalar model**. G3 adds explicit measurement, increment and sealing margins. Under bounded uniform initial disorder $[l,u]$, common reserve $c$ and the ideal G4 assumptions, the support-wide reachability threshold is $$c_* = \max(0,u e^{-2\tau}-l).$$ For $l=0.65$, $u=1.35$, $\tau=0.04$, this gives **0.5962070676219583**. Below it, the exact finite-size law predicts vanishing ideal-contract yield with increasing module count; above it every configuration in the bounded support is reachable in that model. This is not a universal chemical phase transition. The functional premise matters: common conductance scaling preserves static voltage ratios but changes absolute current, power and generally dynamics. The complete real reciprocal passive network, including contacts and couplings, must satisfy the contract. Four-port responses avoid the vacuous two-terminal projective metric. ![Exact ideal reserve-yield curves and finite sampled arrays](figures/gauge_reserve_phase.png) *Supplied scientific figure: ideal bounded-disorder reserve model. Capacity sweeps reuse the same sampled arrays.* ## Evidence, including failures | v3 condition | 2-D functional completions | 3-D functional completions | Interpretation | |---|---:|---:|---| | Projective compiler | 32/32 | 32/32 | Works in the specified synthetic model | | Shared detector gain | 32/32 | 32/32 | Shared-gain cancellation under paired assumptions | | Common material scaling | 32/32 | 32/32 | Allowed voltage function survives a common scale | | Matched conventional ratio controller | 32/32 | 32/32 | Exact tie; no superiority demonstrated | | Fixed representative | 0/32 | 0/32 | Prescribed fixed-scale reachability fails | | Insufficient reserve | 0/32 | 0/32 | Controller rejects infeasible capacity | | Differential bias | 0/32 | 0/32 | 36 false accepted objects overall; 28 runs incomplete | | Early reference release | 0/32 | 0/32 | Lost comparison access detected | There are **512 new manufacturing runs**, plus the preserved 512-run v2 study under a different objective. The 25,000 sampled phase arrays are reused across 31 reserve values. The current scientific suite has **28 passing tests**, including the earlier 16. See the canonical logs and [statistical-unit notes](DATA_DICTIONARY.md); a 32/32 condition does not prove population yield 1. The main ensemble uses factored numerical inference. A separate local-message solver is implemented and checked. Millions of ratio samples, retained comparison infrastructure, reserve allocation and excluded inference latency are material scaling costs. ## What is in this repository? The consolidated manuscript covers the mathematical framework, A–F targets in restricted forms, R1–R9 and G1–G6 results, developmental complexity, growth genomes, compilation, proofreading, material conversion, transport, thermodynamics, numerical sanity checks, functional benchmarks, falsification, and the 1/3/5/10/20-year roadmap. Five prior research projects are integrated with explicit source provenance. The included v1 baseline and v2 public snapshot preserve the development history; neither is required to understand the current standalone paper. The dataset viewer exposes **v3_manufacturing** (512 records), **v2_manufacturing** (512), **reserve_phase** (155 aggregate rows), and **claims** (20 scoped claim groups). `test` is a storage split. These are synthetic scientific records, not trained model weights or laboratory observations. ## Quick start ```bash python examples/inspect_release.py ``` This reads the supplied results with the Python standard library. See [reproduction instructions](REPRODUCIBILITY.md) for the 28 tests and full simulation commands. Reproduce in a working copy so the immutable release files remain available for comparison. ## Most decisive next step Test a nontrivial four-module resistive bridge with independently bounded reserve paths and an independent four-port evaluator. Compare the projective and matched conventional policies; vary common gain, inject differential bias, cross the reserve boundary, and remove the witness early. Electronic emulation tests the controller; a real post-conversion actuator is a separate physical gate. ## Citation and maturity Use [CITATION.cff](CITATION.cff), [BibTeX](CITATION.bib), and the verified release commit. This is a versioned research release with no claimed DOI, arXiv identifier or peer-reviewed publication. Scientific completeness **50%**; mathematical completeness **75%**; experimental readiness **30%**; physical plausibility **60%**; potential impact if validated **90%**. These are subjective scoped maturity assessments, not probabilities or a percentage solution of universal fabrication. **Unresolved obstacle:** bounded differential-bias metrology together with reproducible bounded post-conversion actuation. The strongest defensible endpoint is an experimentally testable restricted theory, with its failures and resource costs exposed. No additional project license was specified in the supplied release; see [RIGHTS.md](RIGHTS.md).