[AdaWorldAPI]

Mission

Preserve and assess a concrete DR64³ spatial perturbation-field hypothesis: Moore26 neighborhood + phase/helix (including Signed360 and proposed 2×helix in/out) + on-demand Morton field reconstruction + an exact discrete divergence-free generator, using OxiPhysics as an independent numerical reference and Lean/OxiLean as separate formal-checking targets.

Draft research-only. No runtime changes, no production ABI, no new CE64 codes and no claims of a new Navier–Stokes result.

Why this PR

There is already executable lineage rather than a blank design:

• perturbation-sim models rank-one electrical Laplacian perturbation.
• #1427 provides the independent 2D Moore8 Jacobi-vs-spectral probe.
• #1428 asks whether observables can be bounded before full field convergence.
• ndarray's Morton perturbation probe already represents a parametric orientation field using 24-bit helix plus gradients.
• OxiPhysics has vortex/turbulence force fields, 3D curl/divergence diagnostics, staggered MAC and a separate D3Q27 LBM lattice.
• OpenAI NavierStokesAndEuler and OxiLean offer formalization/replay reference points, subject to version and unsupported constraints.

Change

Adds .claude/plans/d-pde-holocube-0-v1.md, covering:

1. Exact code crosswalk and three different perturbation meanings (spectral electrical, orientation template, physical fluid).
2. The Moore26 dot/cross local differential estimators versus D3Q27's 26 moving velocity directions + rest.
3. Conservative candidate construction from a shared edge potential → oriented face flux → cell divergence (d²=0), rather than inferring incompressibility from a pair of direction codes.
4. Phase, 24-bit helix, Signed360, 2×Signed360=96 bits, BGZ17, tensor/curvature/helix features, optional TFLite/ONNX/NNUE ranking, DR64³/DT64³, Quack/R2IL, and JC/Jirak uncertainty in appropriately restricted roles.
5. OpenAI forced-Navier–Stokes vs unforced Euler scope; nonlocal pressure and continuum proof obligations.
6. P0–P7 sequence of independent falsifiers, accuracy/latency/memory scorecard and explicit non-goals.

Review requests

• Are the common edge/face orientation conventions and the bit-exact fixed-point d2*d1==0 contract correctly scoped?
• Is the proposed 48-bit field-frame vs 48-bit Signed360 vs 96-bit in/out split unambiguous?
• Should the first implementation stop at P1 (Moore26 analytic oracle) or include P2 (edge/face incidence) as a single probe?
• Confirm no CFD theorem, D3Q27 equivalence, or causal-certification promotion is inferred from electrical Laplacian bounds.

Validation

Documentation-only; cross-referenced actual source files and the existing probe lineage. No builds, numerical tests, formal checks, or performance measurements were run in this PR. Further implementation and integration remain separate gates.

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Codex Review Summary

This comment shows the latest Codex review activity on this pull request.

Review	Status	Commit	Review trigger
📝 Code Review	✅ Completed 2026-11-02T23:08:07.280164Z	7c8d1dd	Draft marked ready

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