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# ADR-CE-009: Single Coherence Object
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**Status**: Accepted
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**Date**: 2026-01-22
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**Parent**: ADR-014 Coherence Engine Architecture
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## Context
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Building domain-specific coherence systems (one for AI, one for finance, one for medical) leads to:
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- Duplicated effort
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- Inconsistent semantics
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- Maintenance burden
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## Decision
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**Single coherence object - once math is fixed, everything is interpretation.**
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The Universal Coherence Object:
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- Nodes: d-dimensional state vectors
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- Edges: Restriction maps ρ_u, ρ_v
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- Energy: E(S) = Σ w_e|r_e|²
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- Gate: E < θ → allow
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Domain-specific interpretation:
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| Domain | Nodes | Edges | Residual | Gate |
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|--------|-------|-------|----------|------|
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| AI | Beliefs | Citations | Contradiction | Refusal |
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| Finance | Trades | Arbitrage | Regime mismatch | Throttle |
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| Medical | Vitals | Physiology | Clinical disagreement | Escalation |
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## Consequences
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### Benefits
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- One implementation, many applications
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- Proven math applies everywhere
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- Domain experts focus on interpretation, not implementation
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### Risks
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- Abstraction may not fit all domains perfectly
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- Requires mapping domain concepts to universal structure
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## References
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- ADR-014: Coherence Engine Architecture, "Universal Coherence Object"
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