I’m wondering if the finite speed of light + planks constant giving a minimum coarsness to the universe + the cosmological constant giving a maximal size to the universe + the landauer limit preventing infinite computations in a finite universe… might not be strong evidence for a non-infinite universe?
We can prove that everything that exist is infinite: if it consists of N elements and no more, there should be some process which limits its size as N and no more. However, such process will be N+1 element.
Or in other words, if universe appeared from non-existence once, infinitely many universes can pop-up from existence independently, as there is nothing which can stop such pop-up process.
However, the list of observer’s states which can appear is finite and is limited by the size of maximum possible causally connected universe. I dissed different ways of counting here.
Yep.
I’m wondering if the finite speed of light + planks constant giving a minimum coarsness to the universe + the cosmological constant giving a maximal size to the universe + the landauer limit preventing infinite computations in a finite universe… might not be strong evidence for a non-infinite universe?
We can prove that everything that exist is infinite: if it consists of N elements and no more, there should be some process which limits its size as N and no more. However, such process will be N+1 element.
Or in other words, if universe appeared from non-existence once, infinitely many universes can pop-up from existence independently, as there is nothing which can stop such pop-up process.
However, the list of observer’s states which can appear is finite and is limited by the size of maximum possible causally connected universe. I dissed different ways of counting here.