L1 ⚛ L1-345 ⊙ Testnet

Gyrokinetic — 5D reduced plasma kinetic

Plasma Physics · Magnetic-fusion gyrokinetic simulation

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⬇ L1-345.md

# ⚛ L1 Principle — Gyrokinetic — 5D reduced plasma kinetic **ID:** `L1-345` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Plasma Physics — *Magnetic-fusion gyrokinetic simulation* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** gk distribution function 5D > **📡 Carrier:** plasma · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 10 · **⛓ Block:** 41554095 --- ## 🧠 1. Introduction **Gyrokinetic — 5D reduced plasma kinetic** is a **nonlinear inverse problem** whose unknown lives in **gk distribution function 5D** space, within the **Magnetic-fusion gyrokinetic simulation** sub-domain of **Plasma Physics**. Measurements consist of plasma particle and field diagnostics via a **beam emission spectroscopy** sensing mechanism. The forward operator applies, in order: L · gyroaverage operator; L · drift kinetic operator; L · nonlinear coupling operator; int · phase space operator. Observations are corrupted by additive Gaussian noise. Drift-wave turbulence; nonlinear coupling between Alfven / drift waves. ## ⚙ 2. Forward Model Physical chain: **x** → L · gyroaverage → L · drift kinetic → L · nonlinear coupling → int · phase space → **y** (detector). ``` y = `int.phase_space` `L.nonlinear_coupling` `L.drift_kinetic` `L.gyroaverage` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.gyroaverage` | L · gyroaverage operator | | `L.drift_kinetic` | L · drift kinetic operator | | `L.nonlinear_coupling` | L · nonlinear coupling operator | | `int.phase_space` | Int · phase space operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Plasma Physics | | Sub domain | Magnetic-fusion gyrokinetic simulation | | Carrier | plasma | | Problem class | nonlinear_inverse | | Solution space | gk_distribution_function_5D | | Noise model | gaussian | | Integration axis | phase_space | | Difficulty delta | 10 | | L dag | 3.8 | ## 📡 4. Measurement Model Drift-wave turbulence; nonlinear coupling between Alfven / drift waves. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `gyrokinetic` · **Forward operator:** `gyrokinetic_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N v | — | 24 | | N mu | — | 8 | | Snr db | dB | 25 | | N radial | — | 256 | | N binormal | — | 128 | | N parallel | — | 64 | | Closure error | — | 0 | | Gyroaverage error | — | 0 | | Fluctuation prior error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N v | — | 8 – 128 | | N mu | — | 4 – 64 | | Snr db | dB | 0 – 40 | | N radial | — | 32 – 2048 | | N binormal | — | 16 – 2048 | | N parallel | — | 8 – 256 | | Closure error | — | 0.0 – 0.3 | | Gyroaverage error | — | 0.0 – 0.2 | | Fluctuation prior error | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 16.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `1100` and δ = `10`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xd800089827665a1370b6df83ef1ef09318b00d672a57a4d340efa19752499c6a` - **Chain tx hash:** `0xeb95499ee7f652b6ad189314d606a996afe69e4f8332d4dea4ed44e8a37da998` - **Chain block:** `41554095` --- ## File Mapping This bundle consists of: `L1-345.md`, `L1-345.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-345.md` | Source of truth — edit this | Human or LLM | | `L1-345.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 `L1-345`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-345.md).
Regenerate L1-345.json so every field matches the Markdown.
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📋 JSON metadata

{
  "artifact_id": "L1-345",
  "chain_block": 41554095,
  "chain_hash": "0xd800089827665a1370b6df83ef1ef09318b00d672a57a4d340efa19752499c6a",
  "chain_tx_hash": "0xeb95499ee7f652b6ad189314d606a996afe69e4f8332d4dea4ed44e8a37da998",
  "domain": "Plasma Physics",
  "hardness_fn": {
    "delta": 10,
    "kappa": 1100,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Drift-wave turbulence; nonlinear coupling between Alfven / drift waves.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.8,
    "carrier": "plasma",
    "difficulty_delta": 10,
    "domain": "Plasma Physics",
    "integration_axis": "phase_space",
    "noise_model": "gaussian",
    "primitives": [
      "L.gyroaverage",
      "L.drift_kinetic",
      "L.nonlinear_coupling",
      "int.phase_space"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "beam_emission_spectroscopy",
    "solution_space": "gk_distribution_function_5D",
    "sub_domain": "Magnetic-fusion gyrokinetic simulation",
    "title": "Gyrokinetic \u2014 5D reduced plasma kinetic"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "gyrokinetic_forward"
    ],
    "allowed_omega_dimensions": [
      "N_radial",
      "N_binormal",
      "N_parallel",
      "N_v",
      "N_mu",
      "SNR_dB",
      "gyroaverage_error",
      "closure_error",
      "fluctuation_prior_error",
      "gyroaverage_error",
      "closure_error",
      "fluctuation_prior_error"
    ],
    "allowed_problem_classes": [
      "gyrokinetic"
    ],
    "center_spec": {
      "epsilon_fn_center": "16.0",
      "forward_operator": "gyrokinetic_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_binormal": 128,
        "N_mu": 8,
        "N_parallel": 64,
        "N_radial": 256,
        "N_v": 24,
        "SNR_dB": 25,
        "closure_error": 0.0,
        "fluctuation_prior_error": 0.0,
        "gyroaverage_error": 0.0
      },
      "problem_class": "gyrokinetic"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "N_binormal": [
        16,
        2048
      ],
      "N_mu": [
        4,
        64
      ],
      "N_parallel": [
        8,
        256
      ],
      "N_radial": [
        32,
        2048
      ],
      "N_v": [
        8,
        128
      ],
      "SNR_dB": [
        0,
        40
      ],
      "closure_error": [
        0.0,
        0.3
      ],
      "fluctuation_prior_error": [
        0.0,
        0.3
      ],
      "gyroaverage_error": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Magnetic-fusion gyrokinetic simulation",
  "title": "Gyrokinetic \u2014 5D reduced plasma kinetic"
}

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