It can pause and ask you to temporarily attach another hard disk. Could be infinite as long as one can afford buying disks.
The amount of raw material in the universe is finite at a given point in time (it could be infinite over time, we don't know if time is infinite either).
I think we've already established (especially over the past year) that fiat money is infinite.
The Turing machine is a mathematical model. Infinity only exists in the world of mathematics. The physical world is by definition finite.
This isn't obvious to me, would you elaborate?
https://answers.yahoo.com/question/index?qid=20200123104919A...
Sadly that thread will soon be gone due to the approaching Yahoo Answers apocalypse. Hopefully Internet Archive will save it!