L2 📐 L2-155-001 ⊙ Testnet

Entangled-Photon Microscopy (N00N / SPDC imaging) Mismatch-Only Spec

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-155-001

⬇ L2-155-001.md ⬇ L2-155-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-155-001 (Entangled-Photon Microscopy (N00N / SPDC imaging) Mismatch-Only Spec) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-155-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-155-001.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 L1-155

y = ∫dΩ `D.coincidence_count` `L.n_photon_interference` `L.spdc_source` x,    measurements ~ Poisson(αy)

world state x (2D phase)

→

L · spdc source `L.spdc_source`

→

L · n photon interference `L.n_photon_interference`

→

D · coincidence count `D.coincidence_count`

→

Angular integration ∫dΩ

→

observation y (photon detector)

Noise: Poisson shot noise from quantum-limited detection

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-155-001.md

# 📐 L2 Digital Twin — Entangled-Photon Microscopy (N00N / SPDC imaging) Mismatch-Only Spec **ID:** `L2-155-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-155`](/artifact/l1/L1-155) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.55 · **Delta tier:** 5 > **⛓ On-chain block:** 41554245 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | H | px | 64 | | W | px | 64 | | N photons | photons | 2 – 10 | | Photon loss | — | 0.0 – 0.9 | | N coincidences | — | 1000 – 100000000 | | Phase instability | — | 0.0 – 0.5 | | Detector dark counts | — | 0.0 – 1.0 | | Mode coupling efficiency | — | 0.1 – 1.0 | ## 2. Tolerance (ε) **Type:** `fn` ``` 8.0 + 2.5 * log10(N_coincidences / 1000) - 10.0 * photon_loss + 5.0 * mode_coupling_efficiency - 6.0 * phase_instability ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.55 | | Delta tier | 5 | ## 4. Fingerprint `0bebd80708d69ef02d9396b9f4fbc958ac0e4cd80fe58ce4a8a8da782c072522` ## 5. On-chain Registration - **Chain hash:** `0x486d27851bd316826c41592abc382d5541b32b8b569b5d14b4ad18f5ca37a3b1` - **Chain tx hash:** `0xcd2bde7b46ccff4b19aea68ebf6b65299d4869d4deefc6012f5acf9345ec0194` - **Chain block:** `41554245` --- ## File Mapping This bundle consists of: `L2-155-001.md`, `L2-155-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-155-001.md` | Source of truth — edit this | Human or LLM | | `L2-155-001.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 `L2-155-001`._ _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 L1-155 Entangled-Photon Microscopy (N00N / SPDC imaging)

↓ L3 Benchmark 1 child ▾

L3-155-001-001-T1 T1_nominal

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L2-155-001",
  "chain_block": 41554245,
  "chain_hash": "0x486d27851bd316826c41592abc382d5541b32b8b569b5d14b4ad18f5ca37a3b1",
  "chain_tx_hash": "0xcd2bde7b46ccff4b19aea68ebf6b65299d4869d4deefc6012f5acf9345ec0194",
  "delta_tier": 5,
  "difficulty_score": 0.55,
  "epsilon": {
    "expression": "8.0 + 2.5 * log10(N_coincidences / 1000) - 10.0 * photon_loss + 5.0 * mode_coupling_efficiency - 6.0 * phase_instability",
    "type": "fn"
  },
  "fingerprint": "0bebd80708d69ef02d9396b9f4fbc958ac0e4cd80fe58ce4a8a8da782c072522",
  "layer": "L2",
  "omega": {
    "dims": {
      "H": 64,
      "N_coincidences": [
        1000,
        100000000
      ],
      "N_photons": [
        2,
        10
      ],
      "W": 64,
      "detector_dark_counts": [
        0.0,
        1.0
      ],
      "mode_coupling_efficiency": [
        0.1,
        1.0
      ],
      "phase_instability": [
        0.0,
        0.5
      ],
      "photon_loss": [
        0.0,
        0.9
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-155",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Entangled-Photon Microscopy (N00N / SPDC imaging) Mismatch-Only Spec"
}

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