Kinematic Phase Space & Jerk Vectors (Model 03) | KoshX Learning
Treating price action as physical trajectory in phase space to detect velocity deceleration and jerk inflection points ahead of reversals.
Empirical Quantitative Methodology
Applying classical physics kinematics to financial time series. By plotting price velocity (first time-derivative) against price acceleration (second time-derivative), the phase-plane exposes early exhaustion and inflection before standard indicators register a turnaround.
v(t) = \frac{\Delta P}{\Delta t}, \quad a(t) = \frac{\Delta v}{\Delta t}, \quad j(t) = \frac{\Delta a}{\Delta t}
Frequently Asked Questions
How does physics-based kinematics apply to stock price movements?
In classical kinematics, velocity is the first time-derivative of position (v = dx/dt), and acceleration is the second time-derivative (a = d²x/dt²). In technical analysis, standard indicators only look at price (position). Kinematics measures rate-of-change and curvature, detecting when buying momentum is decelerating while price is still printing nominal highs.
What is the Springboard quadrant (Q4 to Q1 transition)?
A Springboard setup occurs when price velocity is still negative (stock is declining), but acceleration has inflected positive (a > 0). This indicates the sell-off is rapidly exhausting and institutional buyers are absorbing liquidity. It provides the earliest possible quantitative entry before a visual chart breakout.
Why is velocity deceleration the earliest warning of a breakdown?
Before a car stops or reverses, it must decelerate (brake). Similarly, institutional distribution causes velocity to drop while prices make marginal new highs on fading volume. Spotting negative acceleration prevents traders from buying the climax of extended moves.