I am trying to find a story I read a few years ago that involves
young girl on Earth who accepts an invitation to leave the planet shortly before its doom in a "rapture" style event where all humanity is simultaneously given the choice.
once she accepts, girl joins the consciousness that saved her and is basically uploaded into a cosmic computer of sorts. This network of minds spans galaxies.
they can go active or dormant, allowing them to experience the universe in realtime or timelapse along with the billions of other saved minds (earthly and non-earthly). The girl and her "savior" synchronize their awake states so that they can perceive their time together in real-time, but to an observer they might only speak one syllable every 1000 years (this is a paraphrase, not necessarily how it's stated in the story)
something starts gobbling up the distributed nodes that the saved minds occupy
just before the end of the universe, the girl and her companion get abducted by this unknown thing and it turns out that
this thing that the "saved" have been running from over the span of time is actually trying to save them from the heat death of the universe, they get pulled into another reality.
I sadly can't recall when it was written, just that I came across it about 4 years ago.