L1 ⚛ L1-377 ⊙ Testnet

Galaxy SED Fitting

Astrophysics · Galaxy properties

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⬇ L1-377.md

# ⚛ L1 Principle — Galaxy SED Fitting **ID:** `L1-377` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Astrophysics — *Galaxy properties* > **🎯 Problem class:** parameter estimation · **🧮 Solution space:** galaxy parameter vector > **📡 Carrier:** photon · **🌫 Noise:** observation gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41555178 --- ## 🧠 1. Introduction **Galaxy SED Fitting** is a **parameter-estimation problem** whose unknown lives in **galaxy parameter vector** space, within the **Galaxy properties** sub-domain of **Astrophysics**. Measurements consist of photons collected by an optical detector via a **broadband photometric sed** sensing mechanism. The forward operator applies, in order: operator inherits structure from a graph (mesh, network); S · dust · attenuation calzetti operator; O · chi2 · photometric operator. Observations are corrupted by observation gaussian. Existence of the recovered galaxy_parameter_vector 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); AGN_contamination dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Observation gaussian sets the irreducible data-fidelity floor. ## ⚙ 2. Forward Model Physical chain: **x** → Structured graph operator → S · dust · attenuation calzetti → O · chi2 · photometric → **y** (detector). ``` y = `O.chi2.photometric` `S.dust.attenuation_calzetti` G x ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `G.structured` | Operator inherits structure from a graph (mesh, network) | | `S.dust.attenuation_calzetti` | S · dust · attenuation calzetti operator | | `O.chi2.photometric` | O · chi2 · photometric operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Astrophysics | | Sub domain | Galaxy properties | | Carrier | photon | | Problem class | parameter_estimation | | Solution space | galaxy_parameter_vector | | Noise model | observation_gaussian | | Integration axis | spectral_energy_distribution | | Difficulty delta | 3 | | L dag | 3 | ## 📡 4. Measurement Model Existence of the recovered galaxy_parameter_vector 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); AGN_contamination dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Observation gaussian sets the irreducible data-fidelity floor. | Metric | Value | |---|---| | Metric | SFR_log_RMSE | | Secondary | stellar_mass_log_RMSE | ## 📏 5. Operating Range (Ω) **Center problem class:** `parameter_estimation` · **Forward operator:** `broadband_photometric_sed` **Center point:** | Parameter | Unit | Value | |---|---|---| | A v mag | — | 0.5 | | N filters | — | 10 | | Redshift z | — | 0.5 | | Snr per band | — | 10 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | A v mag | — | 0.0 – 3.0 | | N filters | — | 3 – 30 | | Redshift z | — | 0.0 – 6.0 | | Snr per band | — | 3 – 100 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 0.25 SFR_log_RMSE | Metric | Range | |---|---| | Sfr log rmse | 0.05 – 0.8 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **SFR_log_RMSE**, with κ = `2000` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xf8e3e00e1cc0411d28bd55c61d6adb81a9a8ea4f0115d558874f4c077531f6bb` - **Chain tx hash:** `0x824b97c247312d5ca6d0c13ccc8c2b6db28f86ef8b339727234aea29c549a239` - **Chain block:** `41555178` --- ## File Mapping This bundle consists of: `L1-377.md`, `L1-377.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-377.md` | Source of truth — edit this | Human or LLM | | `L1-377.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 `L1-377`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-377.md).
Regenerate L1-377.json so every field matches the Markdown.
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📋 JSON metadata

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  "domain": "Astrophysics",
  "hardness_fn": {
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    "regime": "Existence of the recovered galaxy_parameter_vector 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); AGN_contamination dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Observation gaussian sets the irreducible data-fidelity floor.",
    "secondary": "stellar_mass_log_RMSE"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Astrophysics",
    "integration_axis": "spectral_energy_distribution",
    "noise_model": "observation_gaussian",
    "primitives": [
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      "S.dust.attenuation_calzetti",
      "O.chi2.photometric"
    ],
    "problem_class": "parameter_estimation",
    "sensing_mechanism": "broadband_photometric_sed",
    "solution_space": "galaxy_parameter_vector",
    "sub_domain": "Galaxy properties",
    "title": "Galaxy SED Fitting"
  },
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      "redshift_z",
      "SNR_per_band",
      "A_V_mag"
    ],
    "allowed_problem_classes": [
      "parameter_estimation"
    ],
    "center_spec": {
      "epsilon_fn_center": "0.25 SFR_log_RMSE",
      "forward_operator": "broadband_photometric_sed",
      "input_format": "measurement_only",
      "omega": {
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        "N_filters": 10,
        "SNR_per_band": 10,
        "redshift_z": 0.5
      },
      "problem_class": "parameter_estimation"
    },
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      "SFR_log_RMSE": [
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        0.8
      ]
    },
    "omega_bounds": {
      "A_V_mag": [
        0.0,
        3.0
      ],
      "N_filters": [
        3,
        30
      ],
      "SNR_per_band": [
        3,
        100
      ],
      "redshift_z": [
        0.0,
        6.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Galaxy properties",
  "title": "Galaxy SED Fitting"
}

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