The Exhuma Kinetic Methodology (EKM)

In computational complexity theory, Ω(g(n)) defines the tight lower bound of a system. Most UI component libraries only describe their best-case scenarios (O), degrading rapidly under high-frequency inputs or on mobile devices.

Exhuma is engineered so that runtime performance, frame rates, memory stability, and state determinism are mathematically guaranteed never to drop below our established lower bounds.

Every component in Exhuma adheres to these 5 architectural pillars, ensuring uniform developer experience and bulletproof quality across all 13 ecosystems.

Why do standard React animation libraries stutter? Because they pass mouse coordinates through React state (setState), triggering 120 virtual DOM diffs per second. Exhuma strictly bifurcates state into two isolated channels:

// EXHUMA DUAL-CHANNEL STATE PATTERN
// Channel 1: Kinetic GPU Channel (Continuous 120Hz — Zero Re-renders)
const handlePointerMove = (e: React.PointerEvent) => {
  const coords = calculateSpotlightCoordinates(e.clientX, e.clientY, rect);
  targetX.current = coords.x;
  targetY.current = coords.y;

  // Directly writes to GPU custom properties on requestAnimationFrame
  el.style.setProperty('--exhuma-spotlight-x', `${coords.x}px`);
};

// Channel 2: Discrete Logical Channel (On Action Only)
const handleSelectTab = (tabId: string) => {
  setActiveTab(tabId); // Standard controlled/uncontrolled state
  onValueChange?.(tabId);
};

Mobile touch interactions fail when horizontal gestures fight native vertical page scroll. Exhuma implements a provably complete automaton with an angular slop filter:

Euler numerical integration approximations accumulate floating-point error over time. Exhuma uses the exact closed-form solution to the second-order differential equation for critical damping (ζ = 1.0):

This provides instantaneous position calculation with provable asymptotic convergence, zero oscillation, and zero external physics libraries.