As far as I understand, the universe is not divided into discrete units, but rather its continuous.
This seems backed up by a quick search:
Does the Planck scale imply that spacetime is discrete?
I have also heard, however, that there is a finite amount of information in the universe. There is a finite "density" to which information can be stored.
If this is correct I am having trouble reconciling these two things in my head.
Surely in any continuous line, even in a single dimension, a single point can express any number to any precision? Is this not infinite information...at least some type of infinite.
Now I am not saying we can ever store or extract information of course - merely if a objects position doesn't have discrete units then its position akin to a point on that line. So even one object needs infinite information to express its location, thus infinite information is "stored" in its position - and in fact in the positions of every particle in the universe.
I've been racking my head as to what I am missing but I cant see it. :?
Any help?
Thanks,
Notes; I am aware that on small scales there is a certain "noise" to things. That..I think...we can only get "probability maps" not precise locations of any subatomic particle. But is not the centre of such probability maps also a non-discrete position? Even if its changing constantly?