TIER 0 Topological Absorbing Markov Router & Triple-Guard Visualizer

EmbeddingGemma-2 maps your input onto a concept maze. Candidate answers (A, B, C, D) are absorbing exits.

1. Pick a Test Scenario 5 Cases
Incoming Natural Language Query
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Input Spot on Map
Intermediate Landmarks (Q)
Candidate Exits (R: Sinks A–D)
Naive Cosine Trap (Straight Line)
Markov Flow Path
2. Triple-Guard Tripwires 2.1 ms
Guard 1: Negation & Syntax PASS
0.0 ms check for "do not", "instead of", binary yes/no
Guard 2: Manifold Proximity (OOD) PASS
Requires d_min ≤ 0.22 to nearest landmark
Guard 3: Entropy & Margin Gate PASS
Requires Entropy H ≤ 0.45 & Margin Δ ≥ 0.25
❌ Naive Cosine Similarity (Direct Line) Fooled by keywords
✅ Tier 0 Hybrid AMC (Maze Absorption) 65% Cos + 35% AMC
EXIT_0: LOCKED VERDICT 1.9 ms
Tier 0: Instead of trusting a blind straight-line keyword match (Cosine), Tier 0 measures how probability flows through connected concept corridors into the candidate exits—and locks the answer in <3 ms only if all 3 safety tripwires pass.
P_final = 0.65 · P_cosine + 0.35 · [ x₀ᵀ (I - Q)⁻¹ R ]