This was one of my favorite topics during my early days in physics. hehe
If I'm not mistaken this is the so called "Big Crunch" theory of how the universe will end and begin again. Unfortunately, experimental data suggests that the universe is expanding more and more rapidly which means that there probably won't be a Big Crunch. I was also a fan of this theory long ago. hehe
I'd like to share something not exactly related to the birth or and end of the universe but more on the properties of the universe before, now and later. It's quite interesting. It turns out that some fundamental constants vary throughout space and time.
Changes spotted in fundamental constant - physicsworld.com
The field is called variation of fundamental constants in the universe. It's a mix of astrophysics, quantum optics, and atomic and molecular spectroscopy. Astrophysics and quantum optics specialists are comparing data obtained from cosmos and high resolution laser spectroscopy of Hydrogen. One of the front runners of laser spectroscopy to probe variation of fundamental constants in Theodor Hansch who is a Nobel prize winner. THis is link to his research group.
Laser Spectroscopy Division
It's a very fascinating field. Imagine fundamental constants varying at different parts of the universe and different times. This will change our understanding of how the universe behaved in the beginning up to now.