I also think it is possible to know which side a die would fall on if you were able to know in which state all the atoms and molecules in the vicinity....yes even everywhere are
you would also have to know in which state even the vacuum is....so what energy it has (big scales see below)
but it is not possible to know the state of the atoms or molecules and also the vacuum....
I think that the uncertainty principle comes into play there......
so you could not predict the exact position and momentum of a given particle at a time...and so also not the energy
maybe on such big scales as dice it someday maybe even today could be possible to predict a toss because the molecules of the surrounding have not such great effect on the die and on its movement
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