L1 ⚛ L1-361 ⊙ Testnet

Gamma-Ray Shielding — deep-penetration attenuation

Nuclear Engineering · Deep-penetration point-kernel / SN for gamma shielding

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⬇ L1-361.md

# ⚛ L1 Principle — Gamma-Ray Shielding — deep-penetration attenuation **ID:** `L1-361` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Nuclear Engineering — *Deep-penetration point-kernel / SN for gamma shielding* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** dose rate map > **📡 Carrier:** photon · **🌫 Noise:** poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554106 --- ## 🧠 1. Introduction **Gamma-Ray Shielding — deep-penetration attenuation** is a **linear inverse problem** whose unknown lives in **dose rate map** space, within the **Deep-penetration point-kernel / SN for gamma shielding** sub-domain of **Nuclear Engineering**. Measurements consist of photons collected by an optical detector via a **dose rate detectors** sensing mechanism. The forward operator applies, in order: isotropic point-source emission model; L · exp attenuation operator; L · buildup factor operator; int · energy operator. Observations are corrupted by Poisson counting noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → Source emission → L · exp attenuation → L · buildup factor → int · energy → **y** (detector). ``` y = `int.energy` `L.buildup_factor` `L.exp_attenuation` δ_source x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.source_emit` | Isotropic point-source emission model | | `L.exp_attenuation` | L · exp attenuation operator | | `L.buildup_factor` | L · buildup factor operator | | `int.energy` | Int · energy operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Nuclear Engineering | | Sub domain | Deep-penetration point-kernel / SN for gamma shielding | | Carrier | photon | | Problem class | linear_inverse | | Solution space | dose_rate_map | | Noise model | poisson | | Integration axis | energy | | Difficulty delta | 5 | | L dag | 3 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | dose_rate_rel_error_percent | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `gamma_shielding` · **Forward operator:** `gamma_shielding_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 128 | | W | px | 128 | | Z | — | 128 | | Snr db | dB | 30 | | Mu error | — | 0 | | N energies | — | 32 | | N detectors | — | 16 | | Geometry error | — | 0 | | Buildup factor error | — | 0 | | Source spectrum error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 16 – 1024 | | W | px | 16 – 1024 | | Z | — | 16 – 1024 | | Snr db | dB | 0 – 40 | | Mu error | — | 0.0 – 0.05 | | N energies | — | 1 – 200 | | N detectors | — | 1 – 256 | | Geometry error | — | 0.0 – 0.05 | | Buildup factor error | — | 0.0 – 0.3 | | Source spectrum error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 3.0 | Metric | Range | |---|---| | Dose rel | 0.5 – 50.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **dose_rate_rel_error_percent**, with κ = `400` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xe8b51325a7ec17b5633c3816e35adb9d5c5a20e2509fb45026903cacb35ed301` - **Chain tx hash:** `0x900d4a464dab925600ba98c77da78134980bc3937bde8b69cf290732cd4c1568` - **Chain block:** `41554106` --- ## File Mapping This bundle consists of: `L1-361.md`, `L1-361.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-361.md` | Source of truth — edit this | Human or LLM | | `L1-361.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 `L1-361`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-361.md).
Regenerate L1-361.json so every field matches the Markdown.
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L2-361-001 Gamma-Ray Shielding — deep-penetration attenuation Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-361",
  "chain_block": 41554106,
  "chain_hash": "0xe8b51325a7ec17b5633c3816e35adb9d5c5a20e2509fb45026903cacb35ed301",
  "chain_tx_hash": "0x900d4a464dab925600ba98c77da78134980bc3937bde8b69cf290732cd4c1568",
  "domain": "Nuclear Engineering",
  "hardness_fn": {
    "delta": 5,
    "kappa": 400,
    "metric": "dose_rate_rel_error_percent",
    "type": "epsilon_fn"
  },
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      "license_hash": null,
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  "observable_profile": {
    "metric": "dose_rate_rel_error_percent",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "photon",
    "difficulty_delta": 5,
    "domain": "Nuclear Engineering",
    "integration_axis": "energy",
    "noise_model": "poisson",
    "primitives": [
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      "L.exp_attenuation",
      "L.buildup_factor",
      "int.energy"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "dose_rate_detectors",
    "solution_space": "dose_rate_map",
    "sub_domain": "Deep-penetration point-kernel / SN for gamma shielding",
    "title": "Gamma-Ray Shielding \u2014 deep-penetration attenuation"
  },
  "size_tiers": {
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    ],
    "allowed_omega_dimensions": [
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      "W",
      "Z",
      "N_energies",
      "N_detectors",
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      "mu_error",
      "buildup_factor_error",
      "geometry_error",
      "source_spectrum_error",
      "mu_error",
      "buildup_factor_error",
      "geometry_error",
      "source_spectrum_error"
    ],
    "allowed_problem_classes": [
      "gamma_shielding"
    ],
    "center_spec": {
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      "forward_operator": "gamma_shielding_forward",
      "input_format": "measurement_only",
      "omega": {
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        "N_detectors": 16,
        "N_energies": 32,
        "SNR_dB": 30,
        "W": 128,
        "Z": 128,
        "buildup_factor_error": 0.0,
        "geometry_error": 0.0,
        "mu_error": 0.0,
        "source_spectrum_error": 0.0
      },
      "problem_class": "gamma_shielding"
    },
    "epsilon_bounds": {
      "dose_rel": [
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        50.0
      ]
    },
    "omega_bounds": {
      "H": [
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        1024
      ],
      "N_detectors": [
        1,
        256
      ],
      "N_energies": [
        1,
        200
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        16,
        1024
      ],
      "Z": [
        16,
        1024
      ],
      "buildup_factor_error": [
        0.0,
        0.3
      ],
      "geometry_error": [
        0.0,
        0.05
      ],
      "mu_error": [
        0.0,
        0.05
      ],
      "source_spectrum_error": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Deep-penetration point-kernel / SN for gamma shielding",
  "title": "Gamma-Ray Shielding \u2014 deep-penetration attenuation"
}

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