QOTE Technical Documentation

by Kayser-Medical × Resona

Patent Pending

QOTE Technical Specifications

Comprehensive technical documentation for Quantum Oscillatory Token Embedding technology.

Abstract

QOTE (Quantum Oscillatory Token Embedding) represents a breakthrough in AI coherence technology, utilizing Kuramoto phase synchronization principles to create coherent, personalized AI responses. The system employs oscillatory dynamics on token embeddings, implementing CUST (Coherent Unified Synchronization Threshold) gating with golden ratio optimization for quality assurance.

Core Components

Kuramoto Phase Synchronization
Oscillatory dynamics for token coherence

Each token embedding is treated as an oscillator with phase θᵢ and natural frequency ωᵢ. The system evolves according to:

dθᵢ/dt = ωᵢ + (K/N) Σⱼ sin(θⱼ - θᵢ)
  • • K: Coupling strength parameter
  • • N: Total number of oscillators
  • • Order parameter R measures synchronization level
Delta-Theta Personalization
Adaptive phase adjustments

Personalization through phase offset adjustments based on user characteristics:

Δθ = α·cadence + β·tone + γ·register + δ·archetype
  • • Cadence: Communication rhythm adaptation
  • • Tone: Emotional resonance matching
  • • Register: Formality level adjustment
  • • Archetype: Personality-based tuning
CUST Coherence Gate
Quality threshold mechanism

Coherent Unified Synchronization Threshold using golden ratio optimization:

CUST_threshold = φ ≈ 0.618034...
  • • Responses generated only when R ≥ φ
  • • Prevents low-quality outputs
  • • Maintains response consistency
  • • Adaptive threshold based on context complexity

Implementation Architecture

System Flow
  1. Token Embedding: Input tokens converted to high-dimensional embeddings
  2. Oscillator Initialization: Each embedding assigned phase and frequency
  3. Personalization Layer: Delta-theta adjustments applied based on user profile
  4. Synchronization Process: Kuramoto dynamics evolve system toward coherence
  5. CUST Gate Evaluation: Order parameter R compared against threshold φ
  6. Response Generation: If R ≥ φ, proceed with LLM generation
  7. Quality Assurance: Post-processing coherence validation

Performance Metrics

Coherence Metrics
  • • Order Parameter (R): 0.0 - 1.0 synchronization measure
  • • Phase Variance: Dispersion of oscillator phases
  • • Entropy: Information content and complexity
  • • Convergence Time: Time to reach threshold
Quality Indicators
  • • Response Coherence: Semantic consistency score
  • • Personalization Fit: User preference alignment
  • • Gate Success Rate: Percentage passing CUST threshold
  • • Processing Efficiency: Computational performance

Experience QOTE in Action

Try the interactive demo to see real-time oscillatory dynamics and coherence visualization.