L1 ⚛ L1-167 ⊙ Testnet

Lucky Imaging Atmospheric Turbulence Recovery

Astronomy · Atmospheric compensation

⬇ Download bundle 🚀 Submit to mainnet — earn 100 PWM + 5% royalty

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-167.md

# ⚛ L1 Principle — Lucky Imaging Atmospheric Turbulence Recovery **ID:** `L1-167` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Astronomy — *Atmospheric compensation* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 2D intensity > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554243 --- ## 🧠 1. Introduction **Lucky Imaging Atmospheric Turbulence Recovery** is a **linear inverse problem** whose unknown lives in **2D intensity** space, within the **Atmospheric compensation** sub-domain of **Astronomy**. Measurements consist of photons collected by an optical detector via a **frame selection deconvolution** sensing mechanism. The forward operator applies, in order: K · psf · turbulence operator; S · frame · selection operator; O · shift add operator. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 2D_intensity is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 50); seeing_variation dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Shot poisson sets the irreducible data-fidelity floor. ## ⚙ 2. Forward Model Physical chain: **x** → K · psf · turbulence → S · frame · selection → O · shift add → **y** (detector). ``` y = `O.shift_add` `S.frame.selection` `K.psf.turbulence` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `K.psf.turbulence` | K · psf · turbulence operator | | `S.frame.selection` | S · frame · selection operator | | `O.shift_add` | O · shift add operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Astronomy | | Sub domain | Atmospheric compensation | | Carrier | photon | | Problem class | linear_inverse | | Solution space | 2D_intensity | | Noise model | shot_poisson | | Integration axis | temporal | | Difficulty delta | 3 | | L dag | 2.5 | ## 📡 4. Measurement Model Existence of the recovered 2D_intensity is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 50); seeing_variation dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Shot poisson sets the irreducible data-fidelity floor. | Metric | Value | |---|---| | Metric | Strehl_ratio | | Secondary | FWHM_lambda_over_D | ## 📏 5. Operating Range (Ω) **Center problem class:** `linear_inverse` · **Forward operator:** `frame_selection_deconvolution` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 256 | | W | px | 256 | | N frames | — | 500 | | Seeing r0 cm | — | 15 | | Selection fraction | — | 0.05 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 64 – 1024 | | W | px | 64 – 1024 | | N frames | — | 100 – 5000 | | Seeing r0 cm | — | 5.0 – 30.0 | | Selection fraction | — | 0.001 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 0.30 Strehl_ratio | Metric | Range | |---|---| | Strehl ratio | 0.05 – 0.8 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **Strehl_ratio**, with κ = `3000` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xf5d129fd0e87d75a8e4f39bc50228553d271dba82358a71a0c1d9308c1d35e8a` - **Chain tx hash:** `0xe3eba1e4c05b3547a5d45028840008c66af1e0b01c2ce3c6c328a3fa98d877d1` - **Chain block:** `41554243` --- ## File Mapping This bundle consists of: `L1-167.md`, `L1-167.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-167.md` | Source of truth — edit this | Human or LLM | | `L1-167.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 `L1-167`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

📝 Polish this artifact in your LLM

Download the files on the right.
Paste the Markdown into ChatGPT / Claude / Gemini and edit freely.
Send your edited Markdown back with the prompt below.
Save the regenerated JSON, then submit via /submit.

Prompt to give your LLM

Read the attached Markdown (L1-167.md).
Regenerate L1-167.json so every field matches the Markdown.
Preserve the schema documented in the File Mapping footer at the bottom of the MD.
Output each file in its own fenced code block tagged with the filename.

⌥ Hierarchy

Upstream lineage and downstream children

↓ L2 Spec 1 child ▾

L2-167-001 Lucky Imaging Atmospheric Turbulence Recovery — Nominal + Mismatch Specs

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L1-167",
  "chain_block": 41554243,
  "chain_hash": "0xf5d129fd0e87d75a8e4f39bc50228553d271dba82358a71a0c1d9308c1d35e8a",
  "chain_tx_hash": "0xe3eba1e4c05b3547a5d45028840008c66af1e0b01c2ce3c6c328a3fa98d877d1",
  "domain": "Astronomy",
  "hardness_fn": {
    "delta": 3,
    "kappa": 3000,
    "metric": "Strehl_ratio",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "Strehl_ratio",
    "regime": "Existence of the recovered 2D_intensity is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 50); seeing_variation dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Shot poisson sets the irreducible data-fidelity floor.",
    "secondary": "FWHM_lambda_over_D"
  },
  "physics_fingerprint": {
    "L_DAG": 2.5,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Astronomy",
    "integration_axis": "temporal",
    "noise_model": "shot_poisson",
    "primitives": [
      "K.psf.turbulence",
      "S.frame.selection",
      "O.shift_add"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "frame_selection_deconvolution",
    "solution_space": "2D_intensity",
    "sub_domain": "Atmospheric compensation",
    "title": "Lucky Imaging Atmospheric Turbulence Recovery"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "frame_selection_deconvolution"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_frames",
      "seeing_r0_cm",
      "selection_fraction"
    ],
    "allowed_problem_classes": [
      "linear_inverse"
    ],
    "center_spec": {
      "epsilon_fn_center": "0.30 Strehl_ratio",
      "forward_operator": "frame_selection_deconvolution",
      "input_format": "measurement_only",
      "omega": {
        "H": 256,
        "N_frames": 500,
        "W": 256,
        "seeing_r0_cm": 15.0,
        "selection_fraction": 0.05
      },
      "problem_class": "linear_inverse"
    },
    "epsilon_bounds": {
      "Strehl_ratio": [
        0.05,
        0.8
      ]
    },
    "omega_bounds": {
      "H": [
        64,
        1024
      ],
      "N_frames": [
        100,
        5000
      ],
      "W": [
        64,
        1024
      ],
      "seeing_r0_cm": [
        5.0,
        30.0
      ],
      "selection_fraction": [
        0.001,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Atmospheric compensation",
  "title": "Lucky Imaging Atmospheric Turbulence Recovery"
}

🎁

Earn PWM by promoting this to mainnet

• 100 PWM one-time grant on mainnet promotion
• 5% upstream royalty on every downstream L4 mining event, forever
• Your wallet is enrolled the moment the founder accepts

🚀 Submit to mainnet →

How: Download the bundle above → polish the Markdown in ChatGPT / Claude / Gemini → submit your version → founder reviews → mainnet.