Kinematic Framework
The Quantum Visualizer applies forward kinematics principles to financial market data, treating each price movement as a transformation in a kinematic chain. This approach reveals momentum flow patterns invisible to traditional analysis.
Mathematical Model
Transformation Matrices
Each price update creates a transformation matrix:
T(t) = [R(θ) | p(t)]
[0 | 1 ]
Where:
**R(θ)**: Rotation matrix based on price direction **p(t)**: Translation vector from volume and volatility
Chain Composition
The cumulative momentum state:
M(t) = T(t) × T(t-1) × ... × T(0)
Provides complete momentum history and current state.
Visualization Elements
Wave Field
Momentum represented as wave interference Multiple frequency components Amplitude indicates strength Phase shows direction
Vector Field
Directional momentum indicators Magnitude proportional to strength Color-coded by time Interactive exploration
Kinematic Chain
Joint positions show price levels Link orientations indicate trends Chain flexibility reveals volatility End-effector tracks current state
Interactive Controls
Time Navigation
Scrub through historical data Play/pause animation Speed controls Bookmark key moments
Analysis Tools
Momentum measurement Pattern recognition Correlation analysis Export capabilities
Applications
Trading Strategies
Momentum-based entries Trend continuation signals Reversal identification Risk management
Portfolio Management
Asset momentum correlation Sector rotation timing Risk-adjusted allocation Performance attribution