L2 📐 L2-353-001 ⊙ Testnet

Hall MHD — ion-scale physics in reconnection Mismatch-Only Spec

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-353-001

⬇ L2-353-001.md ⬇ L2-353-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-353-001 (Hall MHD — ion-scale physics in reconnection Mismatch-Only Spec) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-353-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-353-001.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 L1-353

y = ∫_t dt `L.electron_MHD` `L.ion_inertia` `L.hall_term` x + n,    n ~ 𝒩(0, σ²)

world state x (hall reconnection structure)

→

L · hall term `L.hall_term`

→

L · ion inertia `L.ion_inertia`

→

L · electron MHD `L.electron_MHD`

→

Temporal integration ∫_t dt

→

observation y (plasma detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-353-001.md

# 📐 L2 Digital Twin — Hall MHD — ion-scale physics in reconnection Mismatch-Only Spec **ID:** `L2-353-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-353`](/artifact/l1/L1-353) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.48 · **Delta tier:** 5 > **⛓ On-chain block:** 41554100 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | H | px | 32 – 2048 | | W | px | 32 – 2048 | | Snr db | dB | 0 – 40 | | N times | — | 50 – 100000 | | Hall closure error | — | 0.0 – 0.2 | | Finite larmor error | — | 0.0 – 0.3 | | Electron inertia error | — | 0.0 – 0.2 | ## 2. Tolerance (ε) **Type:** `fn` ``` 14.0 + 0.3*SNR_dB - 15.0*hall_closure_error - 15.0*electron_inertia_error - 8.0*finite_larmor_error ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.48 | | Delta tier | 5 | ## 4. Fingerprint `7d2049d00578b1522d375179f701c677dfdc50ffdee20d09a4412e6c8e97227b` ## 5. On-chain Registration - **Chain hash:** `0x768e91e48b5e3b319b725f111c18d854f4f305d8000d72d641dd09f720c217d5` - **Chain tx hash:** `0xbd3247da37ddcb8c3b9a8fd966963e0e0fca58343daac0870957115c07578b8c` - **Chain block:** `41554100` --- ## File Mapping This bundle consists of: `L2-353-001.md`, `L2-353-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-353-001.md` | Source of truth — edit this | Human or LLM | | `L2-353-001.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 `L2-353-001`._ _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 L1-353 Hall MHD — ion-scale physics in reconnection

↓ L3 Benchmark 1 child ▾

L3-353-001-001-T1 T1_nominal

⬇ Download bundle

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📋 JSON metadata

{
  "artifact_id": "L2-353-001",
  "chain_block": 41554100,
  "chain_hash": "0x768e91e48b5e3b319b725f111c18d854f4f305d8000d72d641dd09f720c217d5",
  "chain_tx_hash": "0xbd3247da37ddcb8c3b9a8fd966963e0e0fca58343daac0870957115c07578b8c",
  "delta_tier": 5,
  "difficulty_score": 0.48,
  "epsilon": {
    "expression": "14.0 + 0.3*SNR_dB - 15.0*hall_closure_error - 15.0*electron_inertia_error - 8.0*finite_larmor_error",
    "type": "fn"
  },
  "fingerprint": "7d2049d00578b1522d375179f701c677dfdc50ffdee20d09a4412e6c8e97227b",
  "layer": "L2",
  "omega": {
    "dims": {
      "H": [
        32,
        2048
      ],
      "N_times": [
        50,
        100000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        32,
        2048
      ],
      "electron_inertia_error": [
        0.0,
        0.2
      ],
      "finite_larmor_error": [
        0.0,
        0.3
      ],
      "hall_closure_error": [
        0.0,
        0.2
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-353",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Hall MHD \u2014 ion-scale physics in reconnection Mismatch-Only Spec"
}

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