L1 ⚛ L1-130 ⊙ Testnet

Neutron Radiography and Tomography

Scientific Instrumentation · Neutron transmission imaging complementary to X-ray

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⬇ L1-130.md

# ⚛ L1 Principle — Neutron Radiography and Tomography **ID:** `L1-130` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Scientific Instrumentation — *Neutron transmission imaging complementary to X-ray* > **🎯 Problem class:** linear tomographic inverse · **🧮 Solution space:** attenuation map > **📡 Carrier:** neutron · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554213 --- ## 🧠 1. Introduction **Neutron Radiography and Tomography** is a **linear tomographic reconstruction** whose unknown lives in **attenuation map** space, within the **Neutron transmission imaging complementary to X-ray** sub-domain of **Scientific Instrumentation**. Measurements consist of neutrons transmitted through the sample via a **transmission attenuation** sensing mechanism. The forward operator applies, in order: L · absorb · lambert operator; L · project · ray operator; pixel-level spatial averaging on the detector. Observations are corrupted by Poisson shot noise from quantum-limited detection. Beer-Lambert linear; CT reconstruction via FBP/ASTRA. Mismatch: beam hardening (lambda-dependent), scatter, flux inhomogeneity, motion. ## ⚙ 2. Forward Model Physical chain: **x** → L · absorb · lambert → L · project · ray → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.project.ray` `L.absorb.lambert` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.absorb.lambert` | L · absorb · lambert operator | | `L.project.ray` | L · project · ray operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Scientific Instrumentation | | Sub domain | Neutron transmission imaging complementary to X-ray | | Carrier | neutron | | Problem class | linear_tomographic_inverse | | Solution space | attenuation_map | | Noise model | shot_poisson | | Integration axis | projection | | Difficulty delta | 3 | | L dag | 2.7 | ## 📡 4. Measurement Model Beer-Lambert linear; CT reconstruction via FBP/ASTRA. Mismatch: beam hardening (lambda-dependent), scatter, flux inhomogeneity, motion. | Metric | Value | |---|---| | Metric | attenuation_NMSE | | Secondary | spatial_resolution_um | ## 📏 5. Operating Range (Ω) **Center problem class:** `neutron_tomography` · **Forward operator:** `neutron_radiographic_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 1024 | | W | px | 1024 | | N proj | — | 360 | | L over d | — | 500 | | Pixel um | µm | 50 | | Beam hardening | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 128 – 4096 | | W | px | 128 – 4096 | | N proj | — | 10 – 2000 | | L over d | — | 50 – 2000 | | Pixel um | µm | 5 – 500 | | Motion blur | — | 0.0 – 5.0 | | Beam hardening | — | 0.0 – 0.3 | | Limited angles | — | 0 – 120 | | Scatter fraction | — | 0.0 – 0.3 | | Flux inhomogeneity | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** NMSE 5e-3 | Metric | Range | |---|---| | Nmse | 0.0001 – 0.1 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **attenuation_NMSE**, with κ = `200` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x1762642813882dedbb853691ccc843957c3315e2239980116db89db7b68b2940` - **Chain tx hash:** `0x6c5adda00528028c9a90556c47a6c59e5889c066be928670a8f9d161158ca247` - **Chain block:** `41554213` --- ## File Mapping This bundle consists of: `L1-130.md`, `L1-130.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-130.md` | Source of truth — edit this | Human or LLM | | `L1-130.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 `L1-130`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-130.md).
Regenerate L1-130.json so every field matches the Markdown.
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L2-130-001 Neutron Tomography Spec

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📋 JSON metadata

{
  "artifact_id": "L1-130",
  "chain_block": 41554213,
  "chain_hash": "0x1762642813882dedbb853691ccc843957c3315e2239980116db89db7b68b2940",
  "chain_tx_hash": "0x6c5adda00528028c9a90556c47a6c59e5889c066be928670a8f9d161158ca247",
  "domain": "Scientific Instrumentation",
  "hardness_fn": {
    "delta": 3,
    "kappa": 200,
    "metric": "attenuation_NMSE",
    "type": "epsilon_fn"
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      "name": "primary",
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  "observable_profile": {
    "metric": "attenuation_NMSE",
    "regime": "Beer-Lambert linear; CT reconstruction via FBP/ASTRA. Mismatch: beam hardening (lambda-dependent), scatter, flux inhomogeneity, motion.",
    "secondary": "spatial_resolution_um"
  },
  "physics_fingerprint": {
    "L_DAG": 2.7,
    "carrier": "neutron",
    "difficulty_delta": 3,
    "domain": "Scientific Instrumentation",
    "integration_axis": "projection",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.absorb.lambert",
      "L.project.ray",
      "int.spatial"
    ],
    "problem_class": "linear_tomographic_inverse",
    "sensing_mechanism": "transmission_attenuation",
    "solution_space": "attenuation_map",
    "sub_domain": "Neutron transmission imaging complementary to X-ray",
    "title": "Neutron Radiography and Tomography"
  },
  "size_tiers": {
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      "neutron_radiographic_forward",
      "neutron_bragg_edge_imaging"
    ],
    "allowed_omega_dimensions": [
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      "H",
      "W",
      "pixel_um",
      "L_over_D",
      "beam_hardening",
      "scatter_fraction",
      "limited_angles",
      "motion_blur",
      "flux_inhomogeneity"
    ],
    "allowed_problem_classes": [
      "neutron_tomography",
      "neutron_2d_radiography",
      "dynamic_neutron_imaging"
    ],
    "center_spec": {
      "epsilon_fn_center": "NMSE 5e-3",
      "forward_operator": "neutron_radiographic_forward",
      "input_format": "projection_stack",
      "omega": {
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        "L_over_D": 500,
        "N_proj": 360,
        "W": 1024,
        "beam_hardening": 0.0,
        "pixel_um": 50
      },
      "problem_class": "neutron_tomography"
    },
    "epsilon_bounds": {
      "nmse": [
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        0.1
      ]
    },
    "omega_bounds": {
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        4096
      ],
      "L_over_D": [
        50,
        2000
      ],
      "N_proj": [
        10,
        2000
      ],
      "W": [
        128,
        4096
      ],
      "beam_hardening": [
        0.0,
        0.3
      ],
      "flux_inhomogeneity": [
        0.0,
        0.2
      ],
      "limited_angles": [
        0,
        120
      ],
      "motion_blur": [
        0.0,
        5.0
      ],
      "pixel_um": [
        5,
        500
      ],
      "scatter_fraction": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Neutron transmission imaging complementary to X-ray",
  "title": "Neutron Radiography and Tomography"
}

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