I am reading an article, Inflation and CMBR by Charles H. Lineweaver.

He explains the inflation period as the shrinking of the event horizon in the comoving coordinate system. Which it makes sense since the inflation was a period of $\Lambda$. And In this period of time event horizon shrinks down to $0$ as time goes to infinity (in future). And in the solution part of the horizon problem, the author defines a new surface last scattering due to the inflation.

I am having trouble to understand how can shrinking event horizon can lead to a new surface of the last scattering and solve the horizon problem.

I am reading an article, Inflation and CMBR by Charles H. Lineweaver.

https://www.mso.anu.edu.au/~charley/papers/canberra.pdf (Page 5/13)

He explains the inflation period as the shrinking of the event horizon in the comoving coordinate system. Which it makes sense since the inflation was a period of $\Lambda$. And In this period of time event horizon shrinks down to $0$ as time goes to infinity (in future). And in the solution part of the horizon problem, the author defines a new surface last scattering due to the inflation.

I am having trouble to understand how can shrinking event horizon can lead to a new surface of the last scattering and solve the horizon problem.