Dirac equation in curved spacetime

The dirac equation is like a set of instructions that tells us how certain tiny particles called electrons move around. It's like a dance that they do, and the dirac equation tells us how they do that dance. But when these electrons are in space that is not flat like a table, but instead curved like a ball or a hill, the dance they do becomes a little different.

So, to account for these curved spaces, we need to use something called curved spacetime. It's like a big trampoline that is curved, and when you put a ball on it, the ball moves in a certain way that is different than if the trampoline was flat. Similarly, when electrons are in curved spacetime, their dance changes a little bit.

To make the dirac equation work in curved spacetime, we need to add some extra things to it, like a special type of math called tensors, which tell us how much the space is curved at each point. It's like adding some special steps to the dance, so the electrons know how to move in the curved space.

Overall, the dirac equation in curved spacetime is like a set of instructions that tells us how electrons move around in a curved space. It's like a dance that they do, and we need to add some extra steps to make sure they are moving correctly in the curved space.