The Universe History page shows current-universe statistics: how long you've been in this universe, which universe you're in, how long it's taken you to hit certain milestones, and so forth.

A Multiverse Breach takes you to a new universe. Your tangerines per second (TPS) is increased by 10% for each new universe you visit. For example, if you're in Universe 66, you'll have +650% TPS.