L1 ⚛ L1-485 ⊙ Testnet

Neutrino Oscillation Parameter Extraction

Particle Physics · Neutrino physics

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⬇ L1-485.md

# ⚛ L1 Principle — Neutrino Oscillation Parameter Extraction **ID:** `L1-485` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Particle Physics — *Neutrino physics* > **🎯 Problem class:** parameter estimation · **🧮 Solution space:** PMNS parameter vector > **📡 Carrier:** particle · **🌫 Noise:** poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41555317 --- ## 🧠 1. Introduction **Neutrino Oscillation Parameter Extraction** is a **parameter-estimation problem** whose unknown lives in **PMNS parameter vector** space, within the **Neutrino physics** sub-domain of **Particle Physics**. Measurements consist of particle interactions in a detector via a **neutrino disappearance appearance** sensing mechanism. The forward operator applies, in order: an unspecified linear measurement operator; S · matter · msw effect operator; O · chi2 · event rates operator. Observations are corrupted by Poisson counting noise. Existence of the recovered PMNS_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 ~= 500); flux_normalization_uncertainty_percent dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Poisson sets the irreducible data-fidelity floor. ## ⚙ 2. Forward Model Physical chain: **x** → Generic linear operator → S · matter · msw effect → O · chi2 · event rates → **y** (detector). ``` y = `O.chi2.event_rates` `S.matter.msw_effect` A x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.linear_op` | An unspecified linear measurement operator | | `S.matter.msw_effect` | S · matter · msw effect operator | | `O.chi2.event_rates` | O · chi2 · event rates operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Particle Physics | | Sub domain | Neutrino physics | | Carrier | particle | | Problem class | parameter_estimation | | Solution space | PMNS_parameter_vector | | Noise model | poisson | | Integration axis | neutrino_baseline | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Existence of the recovered PMNS_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 ~= 500); flux_normalization_uncertainty_percent dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Poisson sets the irreducible data-fidelity floor. | Metric | Value | |---|---| | Metric | delta_CP_constraint_sigma_deg | | Secondary | theta_23_octant_significance | ## 📏 5. Operating Range (Ω) **Center problem class:** `parameter_estimation` · **Forward operator:** `neutrino_disappearance_appearance` **Center point:** | Parameter | Unit | Value | |---|---|---| | Pot 1e21 | — | 3 | | Baseline km | km | 810 | | N event bins | — | 100 | | Flux uncertainty percent | — | 5 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Pot 1e21 | — | 0.1 – 30.0 | | Baseline km | km | 200 – 2000 | | N event bins | — | 10 – 1000 | | Flux uncertainty percent | — | 1.0 – 20.0 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 20 delta_CP_constraint_sigma_deg | Metric | Range | |---|---| | Delta cp constraint sigma deg | 5 – 90 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **delta_CP_constraint_sigma_deg**, with κ = `10000.0` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x4e31736ad56c166b919769dd6080c356d7e344a2c958cc4b424151ce7e94efe4` - **Chain tx hash:** `0x0066cb73cc2300fe093919607d36f1bd2857a008f5cb0c237134fe1daac3014c` - **Chain block:** `41555317` --- ## File Mapping This bundle consists of: `L1-485.md`, `L1-485.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-485.md` | Source of truth — edit this | Human or LLM | | `L1-485.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 `L1-485`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-485-001 Neutrino Oscillation Parameter Extraction — Nominal + Mismatch Specs

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📋 JSON metadata

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  "domain": "Particle Physics",
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  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "particle",
    "difficulty_delta": 5,
    "domain": "Particle Physics",
    "integration_axis": "neutrino_baseline",
    "noise_model": "poisson",
    "primitives": [
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      "S.matter.msw_effect",
      "O.chi2.event_rates"
    ],
    "problem_class": "parameter_estimation",
    "sensing_mechanism": "neutrino_disappearance_appearance",
    "solution_space": "PMNS_parameter_vector",
    "sub_domain": "Neutrino physics",
    "title": "Neutrino Oscillation Parameter Extraction"
  },
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      "baseline_km",
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      "epsilon_fn_center": "20 delta_CP_constraint_sigma_deg",
      "forward_operator": "neutrino_disappearance_appearance",
      "input_format": "measurement_only",
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        "POT_1e21": 3.0,
        "baseline_km": 810,
        "flux_uncertainty_percent": 5.0
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    "epsilon_bounds": {
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      "POT_1e21": [
        0.1,
        30.0
      ],
      "baseline_km": [
        200,
        2000
      ],
      "flux_uncertainty_percent": [
        1.0,
        20.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Neutrino physics",
  "title": "Neutrino Oscillation Parameter Extraction"
}

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