L1 ⚛ L1-343 ⊙ Testnet

Resistive MHD — finite-resistivity plasma

Plasma Physics · Reconnection and resistive tearing modes

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⬇ L1-343.md

# ⚛ L1 Principle — Resistive MHD — finite-resistivity plasma **ID:** `L1-343` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Plasma Physics — *Reconnection and resistive tearing modes* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** plasma with reconnection > **📡 Carrier:** plasma · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 10 · **⛓ Block:** 41554082 --- ## 🧠 1. Introduction **Resistive MHD — finite-resistivity plasma** is a **nonlinear inverse problem** whose unknown lives in **plasma with reconnection** space, within the **Reconnection and resistive tearing modes** sub-domain of **Plasma Physics**. Measurements consist of plasma particle and field diagnostics via a **soft xray interferometer** sensing mechanism. The forward operator applies, in order: L · ohm finite operator; L · induction resistive operator; L · reconnect operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Reconnection has multiple scales (resistive, Hall, electron inertia). ## ⚙ 2. Forward Model Physical chain: **x** → L · ohm finite → L · induction resistive → L · reconnect → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.reconnect` `L.induction_resistive` `L.ohm_finite` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.ohm_finite` | L · ohm finite operator | | `L.induction_resistive` | L · induction resistive operator | | `L.reconnect` | L · reconnect operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Plasma Physics | | Sub domain | Reconnection and resistive tearing modes | | Carrier | plasma | | Problem class | nonlinear_inverse | | Solution space | plasma_with_reconnection | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 10 | | L dag | 3.7 | ## 📡 4. Measurement Model Reconnection has multiple scales (resistive, Hall, electron inertia). | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `resistive_mhd` · **Forward operator:** `resistive_mhd_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 512 | | W | px | 512 | | Eta | — | 0.0001 | | Snr db | dB | 25 | | N times | — | 2000 | | Bc error | — | 0 | | Eta error | — | 0 | | Grid error | — | 0 | | Hyper resistivity error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 64 – 4096 | | W | px | 64 – 4096 | | Eta | — | 1e-08 – 0.1 | | Snr db | dB | 0 – 40 | | N times | — | 100 – 100000 | | Bc error | — | 0.0 – 0.3 | | Eta error | — | 0.0 – 0.3 | | Grid error | — | 0.0 – 0.2 | | Hyper resistivity error | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 18.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `1000` and δ = `10`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xb348d10247e3937c03804c3d34b771e9ec4832aacde658ed9469bf63c3a3eaee` - **Chain tx hash:** `0xe5306dc3e3e821a0bac43148341812b0f2ce42b7e6d0e561f9558d77c5e4743e` - **Chain block:** `41554082` --- ## File Mapping This bundle consists of: `L1-343.md`, `L1-343.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-343.md` | Source of truth — edit this | Human or LLM | | `L1-343.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 `L1-343`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-343.md).
Regenerate L1-343.json so every field matches the Markdown.
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📋 JSON metadata

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  "artifact_id": "L1-343",
  "chain_block": 41554082,
  "chain_hash": "0xb348d10247e3937c03804c3d34b771e9ec4832aacde658ed9469bf63c3a3eaee",
  "chain_tx_hash": "0xe5306dc3e3e821a0bac43148341812b0f2ce42b7e6d0e561f9558d77c5e4743e",
  "domain": "Plasma Physics",
  "hardness_fn": {
    "delta": 10,
    "kappa": 1000,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
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      "license_hash": null,
      "name": "primary",
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  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Reconnection has multiple scales (resistive, Hall, electron inertia).",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.7,
    "carrier": "plasma",
    "difficulty_delta": 10,
    "domain": "Plasma Physics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.ohm_finite",
      "L.induction_resistive",
      "L.reconnect",
      "int.temporal"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "soft_xray_interferometer",
    "solution_space": "plasma_with_reconnection",
    "sub_domain": "Reconnection and resistive tearing modes",
    "title": "Resistive MHD \u2014 finite-resistivity plasma"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "resistive_mhd_forward"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_times",
      "eta",
      "SNR_dB",
      "eta_error",
      "hyper_resistivity_error",
      "grid_error",
      "bc_error",
      "eta_error",
      "hyper_resistivity_error",
      "grid_error",
      "bc_error"
    ],
    "allowed_problem_classes": [
      "resistive_mhd"
    ],
    "center_spec": {
      "epsilon_fn_center": "18.0",
      "forward_operator": "resistive_mhd_forward",
      "input_format": "measurement_only",
      "omega": {
        "H": 512,
        "N_times": 2000,
        "SNR_dB": 25,
        "W": 512,
        "bc_error": 0.0,
        "eta": 0.0001,
        "eta_error": 0.0,
        "grid_error": 0.0,
        "hyper_resistivity_error": 0.0
      },
      "problem_class": "resistive_mhd"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "H": [
        64,
        4096
      ],
      "N_times": [
        100,
        100000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        64,
        4096
      ],
      "bc_error": [
        0.0,
        0.3
      ],
      "eta": [
        1e-08,
        0.1
      ],
      "eta_error": [
        0.0,
        0.3
      ],
      "grid_error": [
        0.0,
        0.2
      ],
      "hyper_resistivity_error": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Reconnection and resistive tearing modes",
  "title": "Resistive MHD \u2014 finite-resistivity plasma"
}

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