# Pass 09 — Worked Examples Appendix (3 fully auditable examples)

## Purpose

Push the “breakthrough readiness” and “publishability” scores to 10 by providing three worked examples that show the engine discipline across tiers:

- global witness (AWT)
- embedded witness (order-parameter/vortex loop)
- coupled witness (SOL / affine coupling)

Each example includes a WSC (or WOB) pointer and audit commands.

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## Example 1 — Global witness via AWT (rotating body / Earth local solar phase)

- Mechanism: AWT
- Tier: WTR-G
- Artifact: `engine/artifacts/WSC-G-AWT-0001.json`

Audit:
- `python3 engine/audit/audit_wsc.py engine/artifacts/WSC-G-AWT-0001.json`

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## Example 2 — Embedded witness via LDW/HW (vortex loop / order parameter)

- Mechanism: LDW (or HW)
- Tier: WTR-E
- Artifact: `engine/artifacts/WSC-E-LDW-0001.json`

Audit:
- `python3 engine/audit/audit_wsc.py engine/artifacts/WSC-E-LDW-0001.json`

If the setting lacks a meaningful phase observable or loop subsystem, the engine should output:
- `engine/artifacts/WOB-E-0001.json`

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## Example 3 — Coupled witness via SOL / affine coupling (CST target)

- Mechanism: CMT
- Tier: WTR-C
- Artifact: `engine/artifacts/WSC-C-CMT-0001.json`

Audit:
- `python3 engine/audit/audit_wsc.py engine/artifacts/WSC-C-CMT-0001.json`

Mixing boundary:
- if NDB is not adopted, use `engine/artifacts/WOB-G-0002.json`

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## Diagnostic note (targets)

- Uncoupled: baseline is Haar on \(\mathbb{T}_P\)
- Coupled: baseline is coupled Haar on CST (CTP/CHT)

Rate reminders are centralized in:
- `engine/contracts/constants_thresholds.md`

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## Acceptance gates

- at least three examples are provided covering global, embedded, and coupled tiers
- each example has a WSC (or WOB) pointer and an audit command
- target correctness is explicitly stated for diagnostics
