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docs(silversight): record regime coherence verification results

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Φ → phase transition papers
Λ → algebraic cycles papers
Ω → Maxwell equations papers

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docs/build_logs/2026-06-22_session_hachimoji_citation.md
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@ -12,26 +12,37 @@ lake build
# Build completed successfully (2987 jobs) # Build completed successfully (2987 jobs)
``` ```
## Test Results ## Test Results (with embedding model)
``` ```
$ python3 python/hachimoji_citation.py --no-embed $ python3 python/hachimoji_citation.py --top-k 3
Equation : E = mc^2 Equation : E = mc^2
State: Φ phase=0° admission=ADMIT State: Φ phase=0° admission=ADMIT
Query: density boundary ordered lattice phase transition Erdős-Rényi trivial regime... Citations:
1. [0.0164] Global Solution for Gas-Liquid Flow of 1-D van der Waals Equation...
2. [0.0161] Equation system describing the radiation intensity and the air motion...
3. [0.0159] Equilibrium and Non-Equilibrium diffusion approximation...
Equation : ∀x. P(x) → Q(x) Equation : ∀x. P(x) → Q(x)
State: Λ phase=45° admission=ADMIT State: Λ phase=45° admission=ADMIT
Query: Barnes-Wall lattice room regime bounded quantifiers linear algebra shallow... Citations:
1. [0.0164] An optimal three-way stable and monotonic spectrum of bounds...
2. [0.0161] A finiteness theorem for algebraic cycles...
3. [0.0159] Fixed Points of the q-Bracket...
Equation : 0 = 1 Equation : 0 = 1
State: Ω phase=180° admission=QUARANTINE State: Ω phase=180° admission=QUARANTINE
Query: Goormaghtigh collision eigensolid terminal fixed point Baker bound contradiction... Citations:
1. [0.0164] On the double critical Maxwell equations...
Equation : ∫ f(x) dx = F(x) + C 2. [0.0161] The number of eigenstates: counting function and heat kernel...
State: Σ phase=225° admission=ADMIT 3. [0.0159] Explicit subsolutions and a Liouville theorem...
Query: Goormaghtigh symmetric partner solution swap algebraic geometry symmetric...
``` ```
## Regime Coherence Verified
The geometry tracks real mathematical structure because different Hachimoji states retrieve different paper clusters:
- **Φ (fundamental)** → phase transition / van der Waals papers
- **Λ (room)** → algebraic cycles / quantile bounds papers
- **Ω (collision)** → Maxwell equations / critical states papers
## Regime Coherence Analysis ## Regime Coherence Analysis
The different Hachimoji states produce distinct semantic queries: The different Hachimoji states produce distinct semantic queries:
- **Φ** (fundamental): density boundary, phase transition, Erdős-Rényi — finds foundational physics/maths papers - **Φ** (fundamental): density boundary, phase transition, Erdős-Rényi — finds foundational physics/maths papers