The discussion centers on whether a capacitor's voltage can experience a jump, despite the principle that voltage is continuous. It is noted that charging a capacitor requires current, and theoretically, charging it instantaneously would necessitate infinite current, which is impossible. The conversation explores the concept of charge being quantized and how this relates to quantum mechanics. Ayy's explanation emphasizes that charge results from the flow of electrons, which move at finite speeds, indicating that charging takes time. Ultimately, while a square wave voltage can charge a capacitor rapidly, it cannot do so instantaneously.
