One of the themes of current scientific progress is getting more and more information out of tiny amounts of data. Who'd have thought that we could learn so much of distant and recent biological history from DNA, and so much about distant planets, stars, galaxies, and the cosmos from tiny differences in very small amounts of light?
Pratchett's death puts an extra edge on the question-- to what extent can people be re-created from what they've left behind them, especially if they've written novels which include a lot of their personality?
Any thoughts about theoretical limits of how much can be figured out from small amounts of data?
This seems almost certainly false. You can measure those things to only finite precision -- there is a limit to the number of bits you can get out of such a measurement. Suppose you measure position and velocity to one part in a billion in each of three dimensions. That's only around 200 bits -- hardly enough to distinguish all possible universal histories.
I agree, I should have written a conditional:
I will edit above.
Other than our ability to measure these dimensions I think that their current state is only possible with only one history of the universe since the beginning.