a puzzleing puzzle of puzzcicity( its philisophical)

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a quantum box has infinate capacity

a box, which can hold either nothing or something r niether or both
this means it can have nothing and at the same time have something, but there is space left for another thing, and that another thing is both something and nothing, and that then leads into a never ending cycle

a quantum computer, is it possible?

a computer is broken down into bytes, each byte can hold either a 1 or are 0, (much like the quantum box), a quantum computer can hold either a 1 or a 0 or both, but it cant hold both nothing and something, so is a quantum computer infinite?

is space infinate

space.........big, but dose it end? and if it does, what is at the end?

Well, finite and infinite are the same thing, after all. The universe is backwards.
A quantum box cannot have infinite capacity without having a finite capacity at the same - greater relativity.
The possibilities of the quantum box can be infinite within finite bounds. As much as that makes sense.

In other words, both the simplest and most complex computer system conceivable. Duality is a fact of life, though it gives headaches.

Finite is a complex thing. In essence, it is the opposite of infinity. But, at the same, not quite - infinity is endless, things finite have a limit. A polar opposite would be equally infinite. Hence, a conundrum - a contradiction, finite is an unequal opposite to infinity. Physics can get like that.