L1 ⚛ L1-259 ⊙ Testnet

Room Acoustics — ray-tracing impulse response

Acoustics · Geometric-acoustic ray/beam tracing

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⬇ principle.md ⬇ principle.json

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⬇ L1-259.md ⬇ L1-259.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-259 (Room Acoustics — ray-tracing impulse response) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-259.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-259.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.absorb_reflect` `S.trace.rays` δ_source x + n,    n ~ 𝒩(0, σ²)

world state x (room impulse response 1D)

→

Source emission δ_source

→

S · trace · rays `S.trace.rays`

→

L · absorb reflect `L.absorb_reflect`

→

Temporal integration ∫_t dt

→

observation y (acoustic detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-259.md

# ⚛ L1 Principle — Room Acoustics — ray-tracing impulse response **ID:** `L1-259` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Acoustics — *Geometric-acoustic ray/beam tracing* > **🎯 Problem class:** forward · **🧮 Solution space:** room impulse response 1D > **📡 Carrier:** acoustic · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554036 --- ## 🧠 1. Introduction **Room Acoustics — ray-tracing impulse response** is a **forward-model simulation** whose unknown lives in **room impulse response 1D** space, within the **Geometric-acoustic ray/beam tracing** sub-domain of **Acoustics**. Measurements consist of acoustic pressure waves recorded by transducers via a **pressure mic** sensing mechanism. The forward operator applies, in order: isotropic point-source emission model; S · trace · rays operator; L · absorb reflect 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** → Source emission → S · trace · rays → L · absorb reflect → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.absorb_reflect` `S.trace.rays` δ_source x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.source_emit` | Isotropic point-source emission model | | `S.trace.rays` | S · trace · rays operator | | `L.absorb_reflect` | L · absorb reflect operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Acoustics | | Sub domain | Geometric-acoustic ray/beam tracing | | Carrier | acoustic | | Problem class | forward | | Solution space | room_impulse_response_1D | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 3 | | L dag | 3 | ## 📡 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:** `room_ray_tracing` · **Forward operator:** `room_ray_tracing_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H m | m | 3 | | L m | m | 6 | | T s | s | 1 | | W m | m | 8 | | N rays | — | 200000 | | Fs khz | kHz | 48 | | Geometry error | — | 0 | | Absorption error | — | 0 | | Src rec pos error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H m | m | 2 – 20 | | L m | m | 2 – 50 | | T s | s | 0.1 – 5.0 | | W m | m | 2 – 50 | | N rays | — | 10000 – 2000000 | | Fs khz | kHz | 8 – 96 | | Geometry error | — | 0.0 – 0.05 | | Absorption error | — | 0.0 – 0.3 | | Src rec pos error | — | 0.0 – 0.1 | | Diffraction unresolved | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `300` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x8c87842de08d913a85d4ae510c06811d14d93f8c485ef4ce3fc9f97c2564012c` - **Chain tx hash:** `0x616e50b15697913991f28f6b7a4654374a4a0d9eae81217bf943e324296f0ba3` - **Chain block:** `41554036` --- ## File Mapping This bundle consists of: `L1-259.md`, `L1-259.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-259.md` | Source of truth — edit this | Human or LLM | | `L1-259.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 `L1-259`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-259-001 Room Acoustics — ray-tracing impulse response Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-259",
  "chain_block": 41554036,
  "chain_hash": "0x8c87842de08d913a85d4ae510c06811d14d93f8c485ef4ce3fc9f97c2564012c",
  "chain_tx_hash": "0x616e50b15697913991f28f6b7a4654374a4a0d9eae81217bf943e324296f0ba3",
  "domain": "Acoustics",
  "hardness_fn": {
    "delta": 3,
    "kappa": 300,
    "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": 3.0,
    "carrier": "acoustic",
    "difficulty_delta": 3,
    "domain": "Acoustics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.source_emit",
      "S.trace.rays",
      "L.absorb_reflect",
      "int.temporal"
    ],
    "problem_class": "forward",
    "sensing_mechanism": "pressure_mic",
    "solution_space": "room_impulse_response_1D",
    "sub_domain": "Geometric-acoustic ray/beam tracing",
    "title": "Room Acoustics \u2014 ray-tracing impulse response"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "room_ray_tracing_forward"
    ],
    "allowed_omega_dimensions": [
      "L_m",
      "W_m",
      "H_m",
      "N_rays",
      "T_s",
      "fs_kHz",
      "absorption_error",
      "geometry_error",
      "src_rec_pos_error",
      "absorption_error",
      "geometry_error",
      "src_rec_pos_error",
      "diffraction_unresolved"
    ],
    "allowed_problem_classes": [
      "room_ray_tracing"
    ],
    "center_spec": {
      "epsilon_fn_center": "22.0",
      "forward_operator": "room_ray_tracing_forward",
      "input_format": "measurement_only",
      "omega": {
        "H_m": 3,
        "L_m": 6,
        "N_rays": 200000,
        "T_s": 1.0,
        "W_m": 8,
        "absorption_error": 0.0,
        "fs_kHz": 48,
        "geometry_error": 0.0,
        "src_rec_pos_error": 0.0
      },
      "problem_class": "room_ray_tracing"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "H_m": [
        2,
        20
      ],
      "L_m": [
        2,
        50
      ],
      "N_rays": [
        10000,
        2000000
      ],
      "T_s": [
        0.1,
        5.0
      ],
      "W_m": [
        2,
        50
      ],
      "absorption_error": [
        0.0,
        0.3
      ],
      "diffraction_unresolved": [
        0.0,
        0.2
      ],
      "fs_kHz": [
        8,
        96
      ],
      "geometry_error": [
        0.0,
        0.05
      ],
      "src_rec_pos_error": [
        0.0,
        0.1
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Geometric-acoustic ray/beam tracing",
  "title": "Room Acoustics \u2014 ray-tracing impulse response"
}

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