Could we be living in the past of a parallel universe? University of Oxford physicist Julian Barbour delivers this headspinner:
“This two-futures situation would exhibit a single, chaotic past in both directions, meaning that there would be essentially two universes, one on either side of this central state,” Barbour tells Scientific American. “If they were complicated enough, both sides could sustain observers who would perceive time going in opposite directions. Any intelligent beings there would define their arrow of time as moving away from this central state. They would think we now live in their deepest past.”
"2 Futures Can Explain Time's Mysterious Past" (Thanks, Marina Gorbis!)