L1 ⚛ L1-169 ⊙ Testnet

Solar EUV/X-ray Image Reconstruction

Astronomy · Solar physics

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⬇ L1-169.md

# ⚛ L1 Principle — Solar EUV/X-ray Image Reconstruction **ID:** `L1-169` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Astronomy — *Solar physics* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 2D emission measure > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554244 --- ## 🧠 1. Introduction **Solar EUV/X-ray Image Reconstruction** is a **linear inverse problem** whose unknown lives in **2D emission measure** space, within the **Solar physics** sub-domain of **Astronomy**. Measurements consist of photons collected by an optical detector via a **coded aperture euv** sensing mechanism. The forward operator applies, in order: K · psf · coded aperture operator; detector sums all spectral bands; S · dem · inversion operator. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 2D_emission_measure 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 ~= 80); calibration_uncertainty_percent 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 · coded aperture → Spectral integration → S · dem · inversion → **y** (detector). ``` y = `S.dem.inversion` Σ_λ `K.psf.coded_aperture` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `K.psf.coded_aperture` | K · psf · coded aperture operator | | `int.spectral` | Detector sums all spectral bands | | `S.dem.inversion` | S · dem · inversion operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Astronomy | | Sub domain | Solar physics | | Carrier | photon | | Problem class | linear_inverse | | Solution space | 2D_emission_measure | | Noise model | shot_poisson | | Integration axis | spectral_line_of_sight | | Difficulty delta | 3 | | L dag | 3 | ## 📡 4. Measurement Model Existence of the recovered 2D_emission_measure 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 ~= 80); calibration_uncertainty_percent dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Shot poisson sets the irreducible data-fidelity floor. | Metric | Value | |---|---| | Metric | DEM_reconstruction_chi2 | | Secondary | temperature_peak_error_K | ## 📏 5. Operating Range (Ω) **Center problem class:** `linear_inverse` · **Forward operator:** `coded_aperture_euv` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 512 | | W | px | 512 | | N t bins | — | 20 | | N channels | — | 6 | | Noise sigma percent | — | 5 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 128 – 4096 | | W | px | 128 – 4096 | | N t bins | — | 10 – 50 | | N channels | — | 3 – 12 | | Noise sigma percent | — | 1.0 – 20.0 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 1.3 DEM_reconstruction_chi2 | Metric | Range | |---|---| | Dem reconstruction chi2 | 0.5 – 5.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **DEM_reconstruction_chi2**, with κ = `2000` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x54d4eb44d5d77a2a317aa9432ca35d4269f074f7ca5df07c2f1f251a479c0b7d` - **Chain tx hash:** `0x3edc2adb7e4fc53309d4bca81fc5308fb1a80d587bf350ef821358b046a9bf02` - **Chain block:** `41554244` --- ## File Mapping This bundle consists of: `L1-169.md`, `L1-169.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-169.md` | Source of truth — edit this | Human or LLM | | `L1-169.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 `L1-169`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-169.md).
Regenerate L1-169.json so every field matches the Markdown.
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Output each file in its own fenced code block tagged with the filename.

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L2-169-001 Solar EUV/X-ray Image Reconstruction — Nominal + Mismatch Specs

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📋 JSON metadata

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  "artifact_id": "L1-169",
  "chain_block": 41554244,
  "chain_hash": "0x54d4eb44d5d77a2a317aa9432ca35d4269f074f7ca5df07c2f1f251a479c0b7d",
  "chain_tx_hash": "0x3edc2adb7e4fc53309d4bca81fc5308fb1a80d587bf350ef821358b046a9bf02",
  "domain": "Astronomy",
  "hardness_fn": {
    "delta": 3,
    "kappa": 2000,
    "metric": "DEM_reconstruction_chi2",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "DEM_reconstruction_chi2",
    "regime": "Existence of the recovered 2D_emission_measure 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 ~= 80); calibration_uncertainty_percent dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Shot poisson sets the irreducible data-fidelity floor.",
    "secondary": "temperature_peak_error_K"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Astronomy",
    "integration_axis": "spectral_line_of_sight",
    "noise_model": "shot_poisson",
    "primitives": [
      "K.psf.coded_aperture",
      "int.spectral",
      "S.dem.inversion"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "coded_aperture_euv",
    "solution_space": "2D_emission_measure",
    "sub_domain": "Solar physics",
    "title": "Solar EUV/X-ray Image Reconstruction"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "coded_aperture_euv"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_channels",
      "N_T_bins",
      "noise_sigma_percent"
    ],
    "allowed_problem_classes": [
      "linear_inverse"
    ],
    "center_spec": {
      "epsilon_fn_center": "1.3 DEM_reconstruction_chi2",
      "forward_operator": "coded_aperture_euv",
      "input_format": "measurement_only",
      "omega": {
        "H": 512,
        "N_T_bins": 20,
        "N_channels": 6,
        "W": 512,
        "noise_sigma_percent": 5.0
      },
      "problem_class": "linear_inverse"
    },
    "epsilon_bounds": {
      "DEM_reconstruction_chi2": [
        0.5,
        5.0
      ]
    },
    "omega_bounds": {
      "H": [
        128,
        4096
      ],
      "N_T_bins": [
        10,
        50
      ],
      "N_channels": [
        3,
        12
      ],
      "W": [
        128,
        4096
      ],
      "noise_sigma_percent": [
        1.0,
        20.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Solar physics",
  "title": "Solar EUV/X-ray Image Reconstruction"
}

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