The current mainstream says that it is really not. However, they might be wrong. Hilbert space in quanum field theory is infinite-dimensional (otherwise the t

The current mainstream says that it is really not. However, they might be wrong. Hilbert space in quanum field theory is infinite-dimensional (otherwise the theory will just not work). Some physics are saying that Hilber space is not infinite-dimensional: Holography principle might imply that finite amount of information in a given region of space, potentially implying a finite-dimensional Hilbert space. And that might be some kind of pixilation.