Page "Holographic principle" Paragraph 6

Stephen Hawking had shown earlier that the total horizon area of a collection of black holes always increases with time.

The horizon is a boundary defined by lightlike geodesics ; it is those light rays that are just barely unable to escape.

If neighboring geodesics start moving toward each other they eventually collide, at which point their extension is inside the black hole.

So the geodesics are always moving apart, and the number of geodesics which generate the boundary, the area of the horizon, always increases.

Hawking's result was called the second law of black hole thermodynamics, by analogy with the law of entropy increase, but at first, he did not take the analogy too seriously.