d803bfe2b1
git-subtree-dir: vendor/ruvector git-subtree-split: b64c21726f2bb37286d9ee36a7869fef60cc6900
39 lines
1.2 KiB
Markdown
39 lines
1.2 KiB
Markdown
# ADR-CE-011: Residual = Contradiction Energy
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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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The edge residual r_e = ρ_u(x_u) - ρ_v(x_v) measures local mismatch. This mathematical quantity needs a universal interpretation across domains.
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## Decision
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**Residual = contradiction energy - universal interpretation across domains.**
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The residual represents:
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- **AI Agents**: Logical contradiction between belief and evidence
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- **Finance**: Regime mismatch between positions
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- **Medical**: Clinical disagreement between vitals and diagnosis
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- **Robotics**: Physical impossibility between sensor and plan
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- **Security**: Authorization violation between permission and action
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The weighted residual norm |r_e|² is always "how much these two things disagree."
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## Consequences
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### Benefits
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- Universal semantics: "disagreement" makes sense everywhere
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- Quantitative: larger residual = bigger problem
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- Localizable: can identify which edges contribute most
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### Risks
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- Restriction map design determines what "disagreement" means
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- Poor maps give meaningless residuals
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## References
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- ADR-014: Coherence Engine Architecture
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- ADR-CE-009: Single Coherence Object
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