L2 📐 L2-234-001 ⊙ Testnet

FDTD — finite-difference time-domain Maxwell Mismatch-Only Spec

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-234-001

⬇ L2-234-001.md ⬇ L2-234-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-234-001 (FDTD — finite-difference time-domain Maxwell Mismatch-Only Spec) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-234-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-234-001.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

derived from principle L1-234

y = ∫_t dt `L.source_inject` `L.pml_absorb` `L.yee_grid_update` x + n,    n ~ 𝒩(0, σ²)

world state x (3D E H field spacetime)

→

L · yee grid update `L.yee_grid_update`

→

L · pml absorb `L.pml_absorb`

→

L · source inject `L.source_inject`

→

Temporal integration ∫_t dt

→

observation y (em detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-234-001.md

# 📐 L2 Digital Twin — FDTD — finite-difference time-domain Maxwell Mismatch-Only Spec **ID:** `L2-234-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-234`](/artifact/l1/L1-234) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.48 · **Delta tier:** 5 > **⛓ On-chain block:** 41553990 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | H | px | 64 – 2048 | | W | px | 64 – 2048 | | Z | — | 32 – 1024 | | Dt fs | — | 0.01 – 1000 | | Snr db | dB | 0 – 40 | | N samples | — | 100 – 100000 | | Pml error | — | 0.0 – 0.2 | | Dispersion error | — | 0.0 – 0.2 | | Grid aniso error | — | 0.0 – 0.1 | ## 2. Tolerance (ε) **Type:** `fn` ``` 18.0 + 0.3*SNR_dB - 30.0*grid_aniso_error - 5.0*pml_error - 25.0*dispersion_error ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.48 | | Delta tier | 5 | ## 4. Fingerprint `50653d83100ca1ed088adad6de23e92a43e4888a932358577bf7864eed4f5454` ## 5. On-chain Registration - **Chain hash:** `0x67afc49b7c2ded459489823b9fdeedd707b800cf6ee08419a126dfa81cc170b6` - **Chain tx hash:** `0x16ba4c25976890acaa93e67dccc9d0c9746dd6dbd0f5fec615b870ce9ed2609c` - **Chain block:** `41553990` --- ## File Mapping This bundle consists of: `L2-234-001.md`, `L2-234-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-234-001.md` | Source of truth — edit this | Human or LLM | | `L2-234-001.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L2-234-001`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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⌥ Hierarchy

Upstream lineage and downstream children

↑ Upstream

L1 L1-234 FDTD — finite-difference time-domain Maxwell

↓ L3 Benchmark 1 child ▾

L3-234-001-001-T1 T1_nominal

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L2-234-001",
  "chain_block": 41553990,
  "chain_hash": "0x67afc49b7c2ded459489823b9fdeedd707b800cf6ee08419a126dfa81cc170b6",
  "chain_tx_hash": "0x16ba4c25976890acaa93e67dccc9d0c9746dd6dbd0f5fec615b870ce9ed2609c",
  "delta_tier": 5,
  "difficulty_score": 0.48,
  "epsilon": {
    "expression": "18.0 + 0.3*SNR_dB - 30.0*grid_aniso_error - 5.0*pml_error - 25.0*dispersion_error",
    "type": "fn"
  },
  "fingerprint": "50653d83100ca1ed088adad6de23e92a43e4888a932358577bf7864eed4f5454",
  "layer": "L2",
  "omega": {
    "dims": {
      "H": [
        64,
        2048
      ],
      "N_samples": [
        100,
        100000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        64,
        2048
      ],
      "Z": [
        32,
        1024
      ],
      "dispersion_error": [
        0.0,
        0.2
      ],
      "dt_fs": [
        0.01,
        1000
      ],
      "grid_aniso_error": [
        0.0,
        0.1
      ],
      "pml_error": [
        0.0,
        0.2
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-234",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "FDTD \u2014 finite-difference time-domain Maxwell Mismatch-Only Spec"
}

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