How pair production works
Yes, there's a hole in the heart of quantum electrodynamics because it describes the interaction between light and matter, but not the interaction between light and light. That's the interaction that creates matter in gamma-gamma pair production. QED misses the crucial point that waves interact. Even though we've all seen waves interact, down on the beach. Imagine a big wave is coming towards you. You make a little wave with your hand and send it scooting towards the big wave: The little wave rides up and over…