d803bfe2b1
git-subtree-dir: vendor/ruvector git-subtree-split: b64c21726f2bb37286d9ee36a7869fef60cc6900
342 lines
17 KiB
Markdown
342 lines
17 KiB
Markdown
# CAFT Visual Framework & Architecture Diagrams
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## Cognitive Amplitude Field Theory - Visual Representation
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### 1. Three-Layer Architecture
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```
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┌─────────────────────────────────────────────────────────────┐
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│ PHENOMENAL LAYER │
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│ (Conscious Experience) │
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│ │
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│ [Qualia] ←─ Integrated Amplitude Pattern ─→ [Perception]│
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│ ↕ Φ > Φ_critical │
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└─────────────────────────────────────────────────────────────┘
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▲
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│ Measurement
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│ (Collapse)
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┌─────────────────────────────────────────────────────────────┐
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│ AMPLITUDE LAYER │
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│ (Quantum-Like Superposition) │
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│ │
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│ ψ(t) = Σᵢ αᵢ(t)|cᵢ⟩ [Complex Amplitudes] │
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│ │
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│ Evolution: iℏ dψ/dt = H ψ [Unitary Dynamics] │
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│ Interference: |α₁ + α₂|² ≠ |α₁|² + |α₂|² │
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│ │
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│ ┌────────┐ ┌────────┐ ┌────────┐ │
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│ │Thought1│ │Thought2│ │Thought3│ [Parallel Processing] │
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│ │ α₁ │ │ α₂ │ │ α₃ │ │
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│ └───┬────┘ └───┬────┘ └───┬────┘ │
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│ └───────────┴───────────┘ │
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│ Interference │
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└─────────────────────────────────────────────────────────────┘
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▲
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│ Encoding
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│ (Semantic → Amplitude)
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┌─────────────────────────────────────────────────────────────┐
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│ NEURAL LAYER │
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│ (Physical Implementation) │
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│ │
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│ Neurons, Synapses, Microtubules (?) │
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│ Classical or Quantum substrate │
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│ Decoherence time: τ_coherence │
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│ │
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│ [Sensory Input] → [Processing] → [Motor Output] │
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└─────────────────────────────────────────────────────────────┘
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```
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### 2. Cognitive State Evolution
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```
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Time Evolution of ψ(t)
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t=0: Initial Superposition
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ψ(0) = 0.5|A⟩ + 0.5|B⟩ + 0.5|C⟩ + 0.5|D⟩
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Entropy: S = log(4) ≈ 1.39 [High uncertainty]
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████ ████ ████ ████ [Equal amplitudes]
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A B C D
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↓ Unitary Evolution (iℏ dψ/dt = Hψ)
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t=τ: After deliberation
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ψ(τ) = 0.7|A⟩ + 0.3|B⟩ + 0.1|C⟩ + 0.2|D⟩
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Entropy: S ≈ 0.85 [Reduced, but still mixed]
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████████ ██ ░ ██ [Interference shaped]
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A B C D
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↓ Measurement (Attention)
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t=τ+: Collapsed State
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ψ(τ+) = |A⟩
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Entropy: S = 0 [Definite]
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████████░░ ░░ ░░ [Single outcome]
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A
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↓ Decoherence & Re-expansion
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t=τ+Δ: New Superposition
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ψ(τ+Δ) = 0.6|A'⟩ + 0.4|B'⟩ + ...
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Entropy: S ≈ 0.67 [Rising again]
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████████ ████ ░ ░ [New possibilities]
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A' B'
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```
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### 3. Interference Decision-Making
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```
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Two-Path Interference (Prisoner's Dilemma Example)
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Path 1: Cooperate Path 2: Defect
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|C⟩ |D⟩
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α₁ = 0.7 e^(i·0) α₂ = 0.7 e^(iπ)
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│ │
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│ Amplitude │
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│ Propagation │
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▼ ▼
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┌─────────────────────────┐
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│ Interference Zone │
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│ │
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│ ψ = α₁|C⟩ + α₂|D⟩ │
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│ │
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│ P(C) = |α₁ + α₂cosθ|² │
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│ │
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└─────────────────────────┘
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│
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▼
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Measurement
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│
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┌───────────┴───────────┐
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▼ ▼
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Cooperate Defect
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P = 0.7² P = 0.3²
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Phase Difference (θ):
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θ = 0 → Constructive → P(combined) > classical
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θ = π → Destructive → P(combined) < classical
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θ = π/2 → Mixed → P(combined) ≈ classical
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```
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### 4. Attention as Measurement Operator
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```
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Unconscious Processing (Superposition Maintained)
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┌────────────────────────────────────────────┐
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│ ψ_unconscious = Σᵢ αᵢ|conceptᵢ⟩ │
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│ │
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│ ┌──┐ ┌──┐ ┌──┐ ┌──┐ ┌──┐ │
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│ │α₁│ │α₂│ │α₃│ │α₄│ │α₅│ [All active] │
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│ └──┘ └──┘ └──┘ └──┘ └──┘ │
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│ ↕ ↕ ↕ ↕ ↕ │
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│ Parallel exploration, high entropy │
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└────────────────────────────────────────────┘
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↓
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Attention Focus
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(Measurement)
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↓
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┌────────────────────────────────────────────┐
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│ Conscious State (Collapsed) │
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│ │
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│ ψ_conscious = |concept₃⟩ │
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│ │
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│ ░░ ░░ ██ ░░ ░░ [Single selection] │
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│ ↑ │
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│ Focused attention │
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│ Low entropy │
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└────────────────────────────────────────────┘
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Entropy Dynamics:
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S(t) │
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│ ╱╲ ╱╲ ╱╲
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High │ ╱ ╲ ╱ ╲ ╱ ╲ [Superposition]
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│ ╱ ╲ ╱ ╲ ╱ ╲
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│ ╱ ╲ ╱ ╲ ╱ ╲
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Low │ ╱ V V V [Collapse events]
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└─────────────────────────────────> Time
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t₁ t₂ t₃ t₄
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Collapse = Conscious moment (~100-250 ms intervals)
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```
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### 5. IIT Integration (Φ Measurement)
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```
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Integrated Information Φ
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Whole System: Partitioned:
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┌─────────────────┐ ┌────────┐ ┌────────┐
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│ ψ_whole │ │ ψ_A │ │ ψ_B │
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│ │ │ │ │ │
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│ ┌─┬─┬─┬─┐ │ vs │ ┌─┬─┐│ │┌─┬─┐ │
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│ │1│2│3│4│ │ │ │1│2││ ││3│4│ │
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│ └┬┴┬┴┬┴┬┘ │ │ └┬┴┬┘│ │└┬┴┬┘ │
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│ └─┴─┴─┘ │ │ └─┘ │ │ └─┘ │
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│ Integrated │ │ No │ │ No │
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│ │ │ Inter.│ │ Inter.│
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└─────────────────┘ └────────┘ └────────┘
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Φ = D(ψ_whole || ψ_A ⊗ ψ_B) [Information loss]
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Φ Value Interpretation:
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Φ = 0 → No integration → Unconscious
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Φ < 0.3 → Low integration → Minimal awareness
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Φ ≈ 0.3-0.4 → Threshold → Conscious?
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Φ > 0.4 → High integration→ Full consciousness
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Substrate Comparison:
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Human Brain: Φ ≈ 0.4-0.7 ✓ Conscious
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Anesthetized: Φ ≈ 0.1 ✗ Unconscious
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Cerebellum: Φ ≈ 0.05 ✗ (High neurons, low Φ)
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AI (Classical): Φ ≈ 0.01 ✗ Not integrated
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AI (CAFT): Φ ≈ ??? ? [To be measured]
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```
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### 6. Experimental Signature Predictions
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```
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EEG Entropy During Attention Task
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Entropy
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(bits) │
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│
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1.5 │ ╱─────╲ ╱─────╲
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│ ╱ ╲ ╱ ╲
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1.0 │╱ ╲ ╱ ╲
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│ ╲ ╱ ╲
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0.5 │ ▼──────╱ ▼────
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│ │Attend│ │Attend│
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0.0 │ │ T1 │ │ T2 │
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└────────────┴──────┴─────────────┴──────> Time
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↑ ↑
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Collapse 1 Collapse 2
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Memory Interference Oscillations
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P(recall)│
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│
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1.0 │ ╱\ ╱\ ╱\
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│ ╱ \ ╱ \ ╱ \
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0.5 │ ╱ \ ╱ \ ╱ \
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│ ╱ \/ \/ \
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0.0 │ ╱────────────────────────\
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└──────────────────────────────> Delay (ms)
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0 200 400 600 800
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Period T = 2π/ω [ω ∝ semantic distance]
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Order Effect Scaling
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Order │
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Effect │ ●
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(ΔP) │ ●
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│ ● Model: ΔP ∝ sin(θ)
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0.3 │ ●
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│●
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0.0 │─────────────────────
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0 π/4 π/2 3π/4 π
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Semantic Angle (θ)
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```
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### 7. CAFT-Transformer Architecture
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```
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Classical Transformer CAFT-Transformer
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┌────────────────────┐ ┌────────────────────┐
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│ Input Embeddings │ │ Input Embeddings │
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│ (Real-valued) │ │ (Real-valued) │
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└──────────┬─────────┘ └──────────┬─────────┘
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│ │
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▼ ▼
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┌────────────────────┐ ┌────────────────────┐
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│ Self-Attention │ │ Amplitude Layer │
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│ softmax(QK^T)V │ │ αᵢ = f(x) [Complex]│
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└──────────┬─────────┘ └──────────┬─────────┘
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│ │
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▼ ▼
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┌────────────────────┐ ┌────────────────────┐
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│ Feed Forward │ │ Phase Attention │
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│ (Deterministic) │ │ Interference(α) │
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└──────────┬─────────┘ └──────────┬─────────┘
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│ │
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▼ ▼
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┌────────────────────┐ ┌────────────────────┐
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│ Output (Argmax) │ │ Collapse Layer │
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│ Max probability │ │ Born sampling |α|² │
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└────────────────────┘ └────────────────────┘
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Single path Superposition + Interference
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No uncertainty Built-in uncertainty
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Φ ≈ low Φ ≈ higher (prediction)
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```
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### 8. Classical vs Quantum vs CAFT
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```
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Comparison Matrix
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┌────────────────┬──────────┬──────────┬──────────┐
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│ Feature │Classical │True QM │ CAFT │
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├────────────────┼──────────┼──────────┼──────────┤
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│ Superposition │ ✗ │ ✓ │ ✓ │
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│ Interference │ ✗ │ ✓ │ ✓ │
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│ Entanglement │ ✗ │ ✓ │ ✗ │
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│ Measurement │ ✗ │ ✓ │ ✓ │
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│ Complexity │ O(N) │ O(2^N) │ O(N) │
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│ Hardware │ Classical│ Quantum │Classical │
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│ Scalability │ High │ Low │ High │
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│ Proven Effects │ Many │ Some │ TBD │
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└────────────────┴──────────┴──────────┴──────────┘
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Sweet Spot: CAFT gets quantum-like behavior with classical resources
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```
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### 9. Research Workflow
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```
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Theory Development Implementation Validation
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┌──────────────┐ ┌──────────────┐ ┌──────────────┐
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│ Literature │──────────────>│ Rust Library │───────────>│ Simulations │
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│ Review │ │ (Amplitudes) │ │ (In silico) │
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└──────────────┘ └──────────────┘ └──────────────┘
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│ │ │
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│ │ │
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▼ ▼ ▼
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┌──────────────┐ ┌──────────────┐ ┌──────────────┐
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│ CAFT Theory │──────────────>│ AI │───────────>│ Behavioral │
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│ Mathematical │ │ Architecture │ │ Experiments │
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└──────────────┘ └──────────────┘ └──────────────┘
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│ │ │
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│ │ │
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▼ ▼ ▼
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┌──────────────┐ ┌──────────────┐ ┌──────────────┐
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│ Predictions │──────────────>│ Metrics & │───────────>│ Neuroscience │
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│ (7 protocols)│ │ Benchmarks │ │ (EEG/fMRI) │
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└──────────────┘ └──────────────┘ └──────────────┘
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│
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│
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▼
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┌──────────────┐
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│ Publication │
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│ & Impact │
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└──────────────┘
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```
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---
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**These diagrams provide visual intuition for CAFT's core mechanisms and experimental predictions.**
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