L2 📐 L2-452-001 ⊙ Testnet

Multibody Dynamics with Constraints — Nominal + Mismatch Specs

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⬇ spec.md ⬇ spec.json

Fork L2-452-001

⬇ L2-452-001.md ⬇ L2-452-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-452-001 (Multibody Dynamics with Constraints — Nominal + Mismatch Specs) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-452-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-452-001.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

derived from principle L1-452

y = `O.constraint.violation_check` `S.baumgarte.stabilization` ∂_t x    (deterministic)

world state x (generalized acceleration vector)

→

Time derivative ∂_t

→

S · baumgarte · stabilization `S.baumgarte.stabilization`

→

O · constraint · violation check `O.constraint.violation_check`

→

observation y (N/A detector)

Noise: no stochastic noise (deterministic measurement)

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-452-001.md

# 📐 L2 Digital Twin — Multibody Dynamics with Constraints — Nominal + Mismatch Specs **ID:** `L2-452-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-452`](/artifact/l1/L1-452) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.3 · **Delta tier:** 5 > **⛓ On-chain block:** 41555281 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | N bodies | — | 2 – 50 | | N constraints | — | 1 – 30 | | Baumgarte alpha | — | 5 – 100 | | Simulation steps | — | 100 – 100000 | ## 2. Tolerance (ε) **Type:** `fn` ``` 1e-5 * (Baumgarte_alpha / 20) ** (-0.5) ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.3 | | Delta tier | 5 | ## 4. Fingerprint `8143a568b3c519dde807148d320784826abc985b38e16c1400406c540fdde781` ## 5. On-chain Registration - **Chain hash:** `0x34532162f19e84037f3c1b68670fe3034a2da6db5e7cee9857b80c000dadc6e4` - **Chain tx hash:** `0x03bbbcdf14f4120bdce60f97919a5aa59f4f4b7597fd0f9db59c896fedf89da5` - **Chain block:** `41555281` --- ## File Mapping This bundle consists of: `L2-452-001.md`, `L2-452-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-452-001.md` | Source of truth — edit this | Human or LLM | | `L2-452-001.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 `L2-452-001`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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⌥ Hierarchy

Upstream lineage and downstream children

↑ Upstream

L1 L1-452 Multibody Dynamics with Constraints

↓ L3 Benchmark 1 child ▾

L3-452-001-001-T1 T1_nominal

⬇ Download bundle

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📋 JSON metadata

{
  "artifact_id": "L2-452-001",
  "chain_block": 41555281,
  "chain_hash": "0x34532162f19e84037f3c1b68670fe3034a2da6db5e7cee9857b80c000dadc6e4",
  "chain_tx_hash": "0x03bbbcdf14f4120bdce60f97919a5aa59f4f4b7597fd0f9db59c896fedf89da5",
  "delta_tier": 5,
  "difficulty_score": 0.3,
  "epsilon": {
    "expression": "1e-5 * (Baumgarte_alpha / 20) ** (-0.5)",
    "type": "fn"
  },
  "fingerprint": "8143a568b3c519dde807148d320784826abc985b38e16c1400406c540fdde781",
  "layer": "L2",
  "omega": {
    "dims": {
      "Baumgarte_alpha": [
        5,
        100
      ],
      "N_bodies": [
        2,
        50
      ],
      "N_constraints": [
        1,
        30
      ],
      "simulation_steps": [
        100,
        100000
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-452",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Multibody Dynamics with Constraints \u2014 Nominal + Mismatch Specs"
}

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