L1 ⚛ L1-380 ⊙ Testnet

Exoplanet Transit Photometry Inversion

Astrophysics · Exoplanet characterization

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⬇ L1-380.md

# ⚛ L1 Principle — Exoplanet Transit Photometry Inversion **ID:** `L1-380` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Astrophysics — *Exoplanet characterization* > **🎯 Problem class:** parameter estimation · **🧮 Solution space:** transit parameter vector > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41555179 --- ## 🧠 1. Introduction **Exoplanet Transit Photometry Inversion** is a **parameter-estimation problem** whose unknown lives in **transit parameter vector** space, within the **Exoplanet characterization** sub-domain of **Astrophysics**. Measurements consist of photons collected by an optical detector via a **transit photometry** sensing mechanism. The forward operator applies, in order: time evolution of the state; O · chi2 · lightcurve transit operator; S · limb · darkening operator. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered transit_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 ~= 40); stellar_activity_spots 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** → Time derivative → O · chi2 · lightcurve transit → S · limb · darkening → **y** (detector). ``` y = `S.limb.darkening` `O.chi2.lightcurve_transit` ∂_t x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `D.time` | Time evolution of the state | | `O.chi2.lightcurve_transit` | O · chi2 · lightcurve transit operator | | `S.limb.darkening` | S · limb · darkening operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Astrophysics | | Sub domain | Exoplanet characterization | | Carrier | photon | | Problem class | parameter_estimation | | Solution space | transit_parameter_vector | | Noise model | shot_poisson | | Integration axis | temporal_photometric | | Difficulty delta | 3 | | L dag | 2.5 | ## 📡 4. Measurement Model Existence of the recovered transit_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 ~= 40); stellar_activity_spots dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Shot poisson sets the irreducible data-fidelity floor. | Metric | Value | |---|---| | Metric | R_p_R_star_sigma_ppm | | Secondary | chi2_reduced | ## 📏 5. Operating Range (Ω) **Center problem class:** `parameter_estimation` · **Forward operator:** `transit_photometry` **Center point:** | Parameter | Unit | Value | |---|---|---| | Cadence min | — | 2 | | N transit points | — | 500 | | Snr per point ppm | — | 100 | | R p r star percent | — | 1 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Cadence min | — | 0.5 – 30.0 | | N transit points | — | 50 – 10000 | | Snr per point ppm | — | 10 – 1000 | | R p r star percent | — | 0.1 – 20.0 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 50 R_p_R_star_sigma_ppm | Metric | Range | |---|---| | R p r star sigma ppm | 10 – 500 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **R_p_R_star_sigma_ppm**, with κ = `1000` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x959e27141050f07714e8d1f80502bd53320ebb5437732b10064ba7ee787f25c8` - **Chain tx hash:** `0xaa5746f60df91d0b2c21563071688afd202c4282c23a072c7be7e7ad939a7b4d` - **Chain block:** `41555179` --- ## File Mapping This bundle consists of: `L1-380.md`, `L1-380.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-380.md` | Source of truth — edit this | Human or LLM | | `L1-380.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 `L1-380`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-380.md).
Regenerate L1-380.json so every field matches the Markdown.
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L2-380-001 Exoplanet Transit Photometry Inversion — Nominal + Mismatch Specs

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📋 JSON metadata

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  "chain_hash": "0x959e27141050f07714e8d1f80502bd53320ebb5437732b10064ba7ee787f25c8",
  "chain_tx_hash": "0xaa5746f60df91d0b2c21563071688afd202c4282c23a072c7be7e7ad939a7b4d",
  "domain": "Astrophysics",
  "hardness_fn": {
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    "kappa": 1000,
    "metric": "R_p_R_star_sigma_ppm",
    "type": "epsilon_fn"
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      "name": "primary",
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    "metric": "R_p_R_star_sigma_ppm",
    "regime": "Existence of the recovered transit_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 ~= 40); stellar_activity_spots dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Shot poisson sets the irreducible data-fidelity floor.",
    "secondary": "chi2_reduced"
  },
  "physics_fingerprint": {
    "L_DAG": 2.5,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Astrophysics",
    "integration_axis": "temporal_photometric",
    "noise_model": "shot_poisson",
    "primitives": [
      "D.time",
      "O.chi2.lightcurve_transit",
      "S.limb.darkening"
    ],
    "problem_class": "parameter_estimation",
    "sensing_mechanism": "transit_photometry",
    "solution_space": "transit_parameter_vector",
    "sub_domain": "Exoplanet characterization",
    "title": "Exoplanet Transit Photometry Inversion"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "transit_photometry"
    ],
    "allowed_omega_dimensions": [
      "N_transit_points",
      "SNR_per_point_ppm",
      "R_p_R_star_percent",
      "cadence_min"
    ],
    "allowed_problem_classes": [
      "parameter_estimation"
    ],
    "center_spec": {
      "epsilon_fn_center": "50 R_p_R_star_sigma_ppm",
      "forward_operator": "transit_photometry",
      "input_format": "measurement_only",
      "omega": {
        "N_transit_points": 500,
        "R_p_R_star_percent": 1.0,
        "SNR_per_point_ppm": 100,
        "cadence_min": 2.0
      },
      "problem_class": "parameter_estimation"
    },
    "epsilon_bounds": {
      "R_p_R_star_sigma_ppm": [
        10,
        500
      ]
    },
    "omega_bounds": {
      "N_transit_points": [
        50,
        10000
      ],
      "R_p_R_star_percent": [
        0.1,
        20.0
      ],
      "SNR_per_point_ppm": [
        10,
        1000
      ],
      "cadence_min": [
        0.5,
        30.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Exoplanet characterization",
  "title": "Exoplanet Transit Photometry Inversion"
}

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