06 β€” Grand Rabbit Warren v2.0 & 5-Persona Guide

The Grand Rabbit Warren v2.0 (/warren on clue-server and https://demo.pqr.info/warren) is a 10-Burrow interactive cross-disciplinary showcase featuring Professor Rabbit's 60-FPS Animated Chalkboard Lectern, Web Speech TTS Narration, and 5 Audience Personas.

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1. The 5 Audience Personas

Every burrow adapts its explanation across 5 selectable lenses:

| Persona Tab | Target Audience | Focus |

| :--- | :--- | :--- |

| πŸ§’ 5-Year-Old (ELI5) | Curious beginners | Lego blocks, rabbit tunnels, and simple everyday analogies |

| πŸ“ˆ Wall Street Quant | Options & FX traders | Order-flow symmetry, 0DTE gamma, London/NY liquidity overlaps |

| πŸŽ“ Math Referee | Information theorists | Group actions $G = S_k$, stabilizer subgroups $\text{Stab}_G(w)$, exact bit identities |

| πŸ’» Systems Architect | Low-latency engineers | Zero-allocation O(k) first-appearance relabeling, lock-free ring buffers |

| πŸ‡ Professor Rabbit | Sovereign storytellers | The White Rabbit's Pocket Watch and the 10 Underground Burrows |

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2. The 10 Underground Burrows

1. Burrow 01 β€” The $4! = 24$ Permutation Maze: Interactive 4-symbol orbit explorer proving why raw label permutation wastes 4.585 bits per window.

2. Burrow 02 β€” Theorem 4.2 Routing–MDL Split: Step-by-step interactive proof that $\mathcal{D}(Cw) \neq \mathcal{D}(w)$ whenever $\text{Stab}_G(w)$ varies across orbits.

3. Burrow 03 β€” The 3 Referee Lemmas: Interactive truth-table verifier for Lemmas 6.1, 6.2, and 6.3 (0.00000000-bit error across all 256 words).

4. Burrow 04 β€” The 3-Gate Audit Gauntlet: Live slider stress-tester for Walk-Forward Sharpe, 2.0x Slippage + Commission, and $N=200$ Permutation Nulls.

5. Burrow 05 β€” Equity Options Time-Machine ($2,500): Interactive equity curve comparing Blind Raw MDL (-$87.60) vs. Canonical CLUE/1.0 (+$793.40 to +$875.34).

6. Burrow 06 β€” Forex Dual-Track Time-Machine (+$835.25): Interactive comparison of NYSE Arca FX ETF Options (09:30–16:00 ET) vs. 24/5 Spot G10 FX.

7. Burrow 07 β€” The 24-Hour Global Session Clock: Interactive UTC/ET dial illustrating Tokyo, London, and NY session handoffs and the 09:30 ET ETF Option jump gap.

8. Burrow 08 β€” Live Invariant Scanner & Toy Sandbox: Type any custom price series or 4-symbol word to compute its canonical orbit, stabilizer size, and exact bit split in real time.

9. Burrow 09 β€” Cross-Domain Scientific Applications: How CLUE/1.0 applies beyond finance to Genomics (codon symmetry), Network Telemetry, Fraud Detection, and Seismology.

10. Burrow 10 β€” Sovereign Governance & Cryptographic Lineage: Rule 21 5-Member Council ratification and SHA-256 Merkle proof verification.

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