Error boundaries in React are special components that catch errors thrown by their child components during rendering, lifecycle methods, or constructors. When an error happens, the error boundary sets a state flag to true and renders a fallback UI instead of the broken component tree. This prevents the entire app from crashing and allows users to see a friendly error message. The execution flow starts with normal rendering, then if a child throws an error, the boundary catches it, updates state, and shows fallback UI. The app continues running normally after that. Without error boundaries, any error in a component would crash the whole React tree. This concept is important for building resilient React apps.