Add spacetime feedback architecture with Minkowski causal structure #9
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Implement hybrid transformer architecture that combines: - Euclidean attention (Turing-complete, can oscillate) - Lorentz monitor (equilibrium detector, prevents loops) New components: - standard_attention.py: Euclidean dot-product attention - feedback_transformer.py: FeedbackTransformerBlock with dual Euclidean branches monitored by Lorentz top layer - test_feedback_transformer.py: Comprehensive test suite - ARCHITECTURE.md: Full technical documentation Key innovation: XOR architecture where: - XOR_left & XOR_right (Euclidean) can oppose → oscillate - XOR_top (Lorentz) detects imbalance → provides feedback - System self-regulates to prevent infinite loops The Lorentz layer uses Minkowski geometry to detect when Euclidean branches are out of equilibrium, preventing oscillation while preserving Turing-completeness. All tests passing (6/6).
Implement physics-grounded architecture using three fundamental spacetime separations from special relativity: 1. Timelike branch (ds² < 0): Causal/sequential computation - StandardAttention with causal masking - Risk: Over-sequential → causal loops 2. Spacelike branch (ds² > 0): Acausal/parallel computation - StandardAttention without causal masking - Risk: Over-parallel → disconnected 3. Lightlike monitor (ds² = 0): Equilibrium detector - EigenAttention on null boundary - Detects imbalance and provides feedback New components: - spacetime_feedback.py: SpacetimeFeedbackBlock implementation with explicit timelike/spacelike/lightlike structure - test_spacetime_feedback.py: 7 comprehensive tests validating spacetime interval computation and equilibrium detection - ARCHITECTURE.md: Updated with full spacetime interpretation Key innovation: System operates on lightlike boundary (ds² = 0) where timelike and spacelike processing are balanced. Deviations trigger feedback to restore equilibrium. Test results (7/7 passing): ✓ Causal sequences → Timelike dominant (ds² < 0) detected ✓ Parallel sequences → Spacelike dominant (ds² > 0) detected ✓ Balanced sequences → Lightlike equilibrium (ds² ≈ 0) achieved ✓ Feedback reduces imbalance (optimal at strength 0.5) ✓ Timelike has causal masking, spacelike does not ✓ All gradients flow correctly This provides a rigorous physical foundation for loop prevention: the system self-regulates toward the lightlike boundary where neither causal loops nor disconnection can occur.
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