L1 ⚛ L1-363 ⊙ Testnet

Decay Heat — residual power after reactor shutdown

Nuclear Engineering · Summation calculation of post-shutdown decay heat

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⬇ principle.md ⬇ principle.json

Fork L1-363

⬇ L1-363.md ⬇ L1-363.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-363 (Decay Heat — residual power after reactor shutdown) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-363.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-363.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

y = ∫_t dt `L.summation` `L.Q_decay` `L.inventory` x + n,    n ~ 𝒩(0, σ²)

world state x (decay power time curve)

→

L · inventory `L.inventory`

→

L · Q decay `L.Q_decay`

→

L · summation `L.summation`

→

Temporal integration ∫_t dt

→

observation y (photon detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-363.md

# ⚛ L1 Principle — Decay Heat — residual power after reactor shutdown **ID:** `L1-363` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Nuclear Engineering — *Summation calculation of post-shutdown decay heat* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** decay power time curve > **📡 Carrier:** photon · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554106 --- ## 🧠 1. Introduction **Decay Heat — residual power after reactor shutdown** is a **linear inverse problem** whose unknown lives in **decay power time curve** space, within the **Summation calculation of post-shutdown decay heat** sub-domain of **Nuclear Engineering**. Measurements consist of photons collected by an optical detector via a **calorimeter** sensing mechanism. The forward operator applies, in order: L · inventory operator; L · Q decay operator; L · summation operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · inventory → L · Q decay → L · summation → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.summation` `L.Q_decay` `L.inventory` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.inventory` | L · inventory operator | | `L.Q_decay` | L · q decay operator | | `L.summation` | L · summation operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Nuclear Engineering | | Sub domain | Summation calculation of post-shutdown decay heat | | Carrier | photon | | Problem class | linear_inverse | | Solution space | decay_power_time_curve | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 3 | | L dag | 2.8 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `decay_heat` · **Forward operator:** `decay_heat_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Snr db | dB | 30 | | Fy error | — | 0 | | N samples | — | 200 | | N nuclides | — | 1000 | | T cooling s | s | 1000 | | Decay data error | — | 0 | | Irradiation history error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 0 – 40 | | Fy error | — | 0.0 – 0.1 | | N samples | — | 10 – 100000 | | N nuclides | — | 10 – 3600 | | T cooling s | s | 1 – 1000000000.0 | | Decay data error | — | 0.0 – 0.05 | | Irradiation history error | — | 0.0 – 0.1 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 25.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `200` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xc7cb1f5137490314217e18eb4cde2daec7fcbe10263b59c7cae5230565805094` - **Chain tx hash:** `0x66e8b4416564eb932b100ff894f4a7a81d3e528679b7f999c2b7f22c0ae628a1` - **Chain block:** `41554106` --- ## File Mapping This bundle consists of: `L1-363.md`, `L1-363.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-363.md` | Source of truth — edit this | Human or LLM | | `L1-363.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 `L1-363`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-363-001 Decay Heat — residual power after reactor shutdown Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-363",
  "chain_block": 41554106,
  "chain_hash": "0xc7cb1f5137490314217e18eb4cde2daec7fcbe10263b59c7cae5230565805094",
  "chain_tx_hash": "0x66e8b4416564eb932b100ff894f4a7a81d3e528679b7f999c2b7f22c0ae628a1",
  "domain": "Nuclear Engineering",
  "hardness_fn": {
    "delta": 3,
    "kappa": 200,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 2.8,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Nuclear Engineering",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.inventory",
      "L.Q_decay",
      "L.summation",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "calorimeter",
    "solution_space": "decay_power_time_curve",
    "sub_domain": "Summation calculation of post-shutdown decay heat",
    "title": "Decay Heat \u2014 residual power after reactor shutdown"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "decay_heat_forward"
    ],
    "allowed_omega_dimensions": [
      "N_nuclides",
      "t_cooling_s",
      "N_samples",
      "SNR_dB",
      "fy_error",
      "decay_data_error",
      "irradiation_history_error",
      "fy_error",
      "decay_data_error",
      "irradiation_history_error"
    ],
    "allowed_problem_classes": [
      "decay_heat"
    ],
    "center_spec": {
      "epsilon_fn_center": "25.0",
      "forward_operator": "decay_heat_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_nuclides": 1000,
        "N_samples": 200,
        "SNR_dB": 30,
        "decay_data_error": 0.0,
        "fy_error": 0.0,
        "irradiation_history_error": 0.0,
        "t_cooling_s": 1000
      },
      "problem_class": "decay_heat"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "N_nuclides": [
        10,
        3600
      ],
      "N_samples": [
        10,
        100000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "decay_data_error": [
        0.0,
        0.05
      ],
      "fy_error": [
        0.0,
        0.1
      ],
      "irradiation_history_error": [
        0.0,
        0.1
      ],
      "t_cooling_s": [
        1,
        1000000000.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Summation calculation of post-shutdown decay heat",
  "title": "Decay Heat \u2014 residual power after reactor shutdown"
}

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