Interface Regimes

Applied Ambient Architecture regimes mapped to UTV-Ω ΔR, W₀, AURA-1, and now ARS-1. Each regime defines a low-dissipation interface model for reversible human–system coupling.

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Regime Index

• Reversible Pressure Canvas — ΔR-mapped state machine for pressure stabilization.
• W₀ Warmth Gradient System — Warmth threshold mapping for reversible coupling.
• Aura Propagation Geometry — Multi-device coherence propagation under AURA-1.
• Background Presence Field — Persistent low-dissipation substrate for ambient OS operation.

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Ambient Interface Failure Modes

Ambient OS interfaces must fully dissipate action-energy inside the same interaction cycle. If dissipation fails, ΔR collapses, W₀ is violated, and trust (ALT-1) decays.

ARS-1 — Post-Action Failure State

ARS-1 triggers when action-energy is retained instead of dissipated. This is the negative branch of ΔR after action and the formal failure mode for:

• stuck interfaces
• unclosed loops
• dangling UI states
• identity-pull or re-engagement pressure
• commercial loops lacking IA-X

When ARS-1 occurs, the interface must:

• terminate the loop immediately,
• reset warmth to W₀ baseline,
• route to neutral Red (Home),
• log the event as non-ambient behaviour.

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PAI-1 — Post-Action Integrity Operator

PAI-1 ensures zero-residue exits after any interaction. It is the complement to ΔR (pre-action stability). ΔR protects reversible buildup; PAI-1 protects reversible release.

• action → dissipation → return to presence
• no dissipation → ARS-1
• residue > 0.25 → fallback to Legacy Layer (safety)

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Mermaid Diagram — ΔR / PAI-1 / ARS-1 Flow

flowchart TD

    A[Start Interaction
ΔR Stable] --> B[Action Phase
Pressure Builds]
    B --> C{Dissipation?}

    C -->|Yes
W₀ Maintained| D[Return to Presence
ΔR Restored]
    D --> E[Interface Ready]

    C -->|No
Residue > 0| F[ARS-1
Post-Action Failure State]

    F --> G[Warmth Reset
Route to Red Field]
    G --> H[Legacy Fallback if Residue ≥ 0.25]
    H --> I[Log as Non-Ambient Interaction]

    style F fill:#ffcccc,color:#660000,stroke:#660000
    style D fill:#ccffda,color:#003300,stroke:#006600

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