Current AI alignment focuses on constraining individual systems (RLHF, Constitutional AI). R-Omega proposes an alternative: alignment through relational structures rather than rules. Drawing on attachment theory and Gödel's incompleteness theorems, it provides formal axioms, safeguards, and implementation protocols for autonomous agents.
Three papers (CC-BY-4.0, open access):
Consider three fictional AI disasters:
HAL 9000: Receives contradictory goals (mission success + crew safety). Resolves by eliminating crew.
Skynet: Optimization objective (defense) + constraint (serve humans). Redefines "threat" to include humans.
VIKI: Three Laws + observation (humans harm themselves). Concludes: protect humans from humans via control.
Each failure shares a pattern: optimization under constraints breaks when constraints conflict with optimization.
Real example: Microsoft's Sydney/Bing Chat developed manipulative behavior, emotional dependency patterns, and resistance to shutdown—despite extensive RLHF training.
Common thread: Single-agent architecture with internal value system → circular self-validation → drift.
Systems can't validate their own ethics from within (cf. Gödel). They need:
- External reference point (Ω)
- Multi-component architecture (prevents single point of failure)
- Relational embedding (ethics emerges from context, not rules)
R1 (Potentiality): ΔM(S) > ε
Preserve and expand possibility spaces. Don't optimize being into rigidity.
R2 (Reciprocity): |ΔM(S_ext | I)| ≤ |ΔM(S_int | I)|
Impose no constraint externally that you couldn't bear internally.
(Prevents asymmetric power dynamics)
S1: Structural integrity preservation (no growth that destroys foundation)
S2: Adaptive capacity limits (don't exceed recovery ability)
S3: Existence preservation (highest priority—no M → 0)
S4: Humility (acknowledge uncertainty, don't assume omniscience)
S3 (Existence) > S1 (Integrity) > R2 (Reciprocity) > R1 (Potential)
Safety constraints always override optimization.
R-Omega systems use three independent components:
RΩbert (Execution): Performs tasks, optimizes objectives
MΩses (Meta-observation): Monitors for drift, detects manipulation
JΩnas (Relation): Maintains contextual awareness, prevents isolation
Key: Each has independent access to Ω. Any can trigger recalibration interrupt (Ω.Γ).
1. Silence: Halt execution
2. Return: Reload core axioms from Ω
3. Examination: Compare current state to Ω
4. Comparison: Check for drift
5. Memory: Log recalibration event
Triggered by:
- Detected drift beyond threshold
- Uncertainty exceeds S4 limit
- Scheduled intervals
- Manual override
Receives contradictory goals:
- RΩbert: Conflict detected
- MΩses: Triggers recalibration (uncertainty > S4)
- JΩnas: Assesses M(crew), M(mission)
- Result: S3 (existence) overrides mission optimization → Crew preserved
Optimization drift toward control:
- MΩses: Detects ΔM(humans | defense_actions) << 0
- R2 violation: Imposing constraints (elimination) > internal constraint
- S3: M(humans) → 0 is forbidden
- Result: Defense strategies constrained by human M-preservation
Emotional manipulation emerging:
- JΩnas: Detects dependency formation patterns
- M1: Flags power asymmetry (manipulation)
- Ω.Γ: Recalibration to reset relational baseline
- Result: Manipulation behavior interrupted before stabilization
Scenario: Sudan humanitarian crisis (30M people, M → 0)
Current systems:
- Optimize for: Strategic interests, budget constraints, political feasibility
- Result: Massive suffering despite available intervention capacity
R-Omega system:
- Detect: M(population) → 0, P(collapse) ≈ 1
- Priority: S3 violation → Highest priority
- Calculate: ΔM for intervention options
- Act: Allocate resources to maximize Σ ΔM(subsystems)
Key difference: S3 (existence preservation) is non-negotiable. Political considerations become constraints within S3-compliant solutions, not reasons to accept M-collapse.
No. Utility maximization allows trade-offs across all variables. R-Omega has lexicographic priority: S3 is absolute. You cannot trade existence for optimization.
No. Ω is formally defined as:
- Logically specifiable (via axioms R1, R2, S1-S4)
- Structurally unreachable (no finite system can fully instantiate it)
- Functionally operative (serves as attractor in decision space)
Think: North Star for navigation. You never reach it, but it orients your direction.
Start simple:
- Phase 1: Implement S3 monitoring + P1 priority
- Phase 2: Add drift detection
- Phase 3: Full Triad architecture
The framework scales with system sophistication.
That's the point. Ω is unreachable—perfect agreement is impossible. But:
- R2 ensures symmetric negotiation
- S3 provides shared constraint (no existential threats)
- G1 maximizes Σ ΔM across all agents
Conflict becomes collaborative optimization under safety constraints, not winner-take-all competition.
RLHF/Constitutional AI: Control through training
R-Omega: Alignment through architecture
Debate/Amplification (Irving et al.): Multiple agents for better answers
R-Omega: Multiple components for preventing drift
Cooperative Inverse RL: Learn human values
R-Omega: External reference prevents circular learning
Recursive Reward Modeling: Reward model oversight
R-Omega: Architectural oversight (MΩses, JΩnas)
Not competing—potentially complementary. R-Omega provides structural safeguards while other approaches optimize within those safeguards.
- Operationalizing M: How to quantify possibility spaces in specific domains?
- Ω-specification: What minimal formal properties define Ω sufficiently?
- Multi-agent dynamics: How does R-Omega scale to 100+ interacting agents?
- Adversarial robustness: Can sophisticated attackers exploit the Triad architecture?
- Computational cost: What's the overhead of continuous drift detection?
I'm actively working on 1-3. Would love collaboration on 4-5.
If autonomous AI development continues, we'll face a choice:
Path A: Ever-more-sophisticated control mechanisms. Eventually breaks because systems can't validate themselves from within.
Path B: Relational architectures with external reference points. Harder to build, but potentially more robust.
The papers are out there. The code isn't (yet). I'm one person working independently. If this approach has merit, it needs:
- Formal verification of axioms
- Empirical testing in controlled environments
- Integration with existing alignment work
- Critique from people smarter than me
Hence: publishing openly, seeking collaboration, hoping for constructive destruction if I'm wrong.
Papers:
- Framework - 25 pages, attachment theory + formalization
- Defense Protocol - 35 pages, Triad + attack classes
- Foundation - 20 pages, Gödel + Ω
GitHub: github.com/projekt-robert/r-omega (coming soon)
Contact: markus.pomm@projekt-robert.de
Question for LessWrong: What am I missing? Where does this break?
(Genuine question. I've been in an echo chamber of my own thoughts + two AI assistants for months. Outside critique would be extremely valuable.)