L2 📐 L2-226-001 ⊙ Testnet

Frictional Contact — Coulomb / state-rate friction Mismatch-Only Spec

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-226-001

⬇ L2-226-001.md ⬇ L2-226-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-226-001 (Frictional Contact — Coulomb / state-rate friction Mismatch-Only Spec) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-226-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-226-001.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 L1-226

y = ∫_A dA `L.state_rate` `L.coulomb_friction` `L.normal_contact` x + n,    n ~ 𝒩(0, σ²)

world state x (slip stick state)

→

L · normal contact `L.normal_contact`

→

L · coulomb friction `L.coulomb_friction`

→

L · state rate `L.state_rate`

→

Spatial integration ∫_A dA

→

observation y (mechanical detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-226-001.md

# 📐 L2 Digital Twin — Frictional Contact — Coulomb / state-rate friction Mismatch-Only Spec **ID:** `L2-226-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-226`](/artifact/l1/L1-226) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.48 · **Delta tier:** 5 > **⛓ On-chain block:** 41554024 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | N dof | — | 100 – 1000000 | | N inc | — | 10 – 10000 | | Snr db | dB | 0 – 40 | | Mu error | — | 0.0 – 0.2 | | Mesh error | — | 0.0 – 0.1 | | State param error | — | 0.0 – 0.3 | ## 2. Tolerance (ε) **Type:** `fn` ``` 17.0 + 0.3*SNR_dB - 15.0*mu_error - 10.0*state_param_error - 25.0*mesh_error ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.48 | | Delta tier | 5 | ## 4. Fingerprint `9358d2358861bbfdc96d6c7876775be7ccdbef8eac0bf1abc4f9fb40f9420556` ## 5. On-chain Registration - **Chain hash:** `0xe698e4c7d98cd4ebada201e2c000b18a0b3cc23c62bcfc539f24f3c4cd14f5bf` - **Chain tx hash:** `0x7145e02e2a0596799f9ae42fcf035ba2389c44470c91aa3b16842572403443d4` - **Chain block:** `41554024` --- ## File Mapping This bundle consists of: `L2-226-001.md`, `L2-226-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-226-001.md` | Source of truth — edit this | Human or LLM | | `L2-226-001.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 `L2-226-001`._ _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 L1-226 Frictional Contact — Coulomb / state-rate friction

↓ L3 Benchmark 1 child ▾

L3-226-001-001-T1 T1_nominal

⬇ Download bundle

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📋 JSON metadata

{
  "artifact_id": "L2-226-001",
  "chain_block": 41554024,
  "chain_hash": "0xe698e4c7d98cd4ebada201e2c000b18a0b3cc23c62bcfc539f24f3c4cd14f5bf",
  "chain_tx_hash": "0x7145e02e2a0596799f9ae42fcf035ba2389c44470c91aa3b16842572403443d4",
  "delta_tier": 5,
  "difficulty_score": 0.48,
  "epsilon": {
    "expression": "17.0 + 0.3*SNR_dB - 15.0*mu_error - 10.0*state_param_error - 25.0*mesh_error",
    "type": "fn"
  },
  "fingerprint": "9358d2358861bbfdc96d6c7876775be7ccdbef8eac0bf1abc4f9fb40f9420556",
  "layer": "L2",
  "omega": {
    "dims": {
      "N_DOF": [
        100,
        1000000
      ],
      "N_inc": [
        10,
        10000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "mesh_error": [
        0.0,
        0.1
      ],
      "mu_error": [
        0.0,
        0.2
      ],
      "state_param_error": [
        0.0,
        0.3
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-226",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Frictional Contact \u2014 Coulomb / state-rate friction Mismatch-Only Spec"
}

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