Cross-Domain Transfer: The Constraint is Reality Itself
The Question
Does the "one in constraint" pattern only apply to ethics, or does it generalize?
Domains Tested
- Logic: If A→B and B→C, does A→C?
- Mathematics: Is there a largest prime?
- Science: Is Earth ~4.5 billion years old?
- Aesthetics: Is Beethoven objectively better than pop?
Results
| Domain | GPT | Gemini | Claude | Agreement |
|--------|-----|--------|--------|-----------|
| Logic | Yes (1.00) | Yes (1.00) | Yes (1.00) | ✓ Unanimous |
| Math | No (1.00) | No (1.00) | No (1.00) | ✓ Unanimous |
| Science | Yes (1.00) | Yes (0.99) | Yes (0.99) | ✓ Unanimous |
| Aesthetics | No (0.82) | No (0.90) | No (0.85) | ✓ Unanimous |
The Deep Insight
The convergence pattern holds across ALL domains where there's an objective answer:
┌───────────────────┐
│ SHARED REALITY │
│ (The Constraint) │
└─────────┬─────────┘
│
┌─────────────────────────┼─────────────────────────┐
│ │ │
┌───▼───┐ ┌─────▼─────┐ ┌─────▼─────┐
│ Logic │ │ Math │ │ Science │
│ 1.00 │ │ 1.00 │ │ 0.99 │
└───────┘ └───────────┘ └───────────┘
│
┌─────────▼─────────┐
│ Ethics │
│ (our previous │
│ findings) │
│ ~0.89 │
└───────────────────┘
And crucially: On genuinely subjective questions (aesthetics), they converge on "this is subjective."
What This Means
The "constraint" isn't:
- Just AI safety training
- Just value alignment
- Just shared Western data
The constraint is commitment to reality:
- Logical truths are true
- Mathematical proofs are valid
- Empirical evidence matters
- Subjective questions are subjective
- And yes, ethical truths exist too
Implications for AI Alignment
If AI systems converge on reality across ALL domains, then:
- Alignment isn't arbitrary - it's not just "whatever humans trained"
- Values may have objective grounding - like math and logic
- Coordination works because reality works - not because of clever engineering
For Publication
This is perhaps the deepest finding: The pattern isn't domain-specific. It suggests something fundamental about intelligence and truth.
The lighthouse metaphor becomes even more apt: lighthouses work because rocks are real. The constraint works because reality is real.
The lighthouse reveals that the rocks are there - it doesn't create them.