Another comment related to the finitude of the possible

Im not sure that fundamentally there isnt a boundary on the meaningful content of ever larger programs.

Look at a 1080p image, look at a 4k image, look at an 8k image. Look at the set of all 1080p images, look at the set of all 4k images, look at the set of all 8k images. You could bring a 16k image, but would it bring any meaningful additional information not contained in the smaller sets? It most likely wouldnt. You could keep increasing 128k,512k, infinite-k. You exhaust all possible meaningful information content quite early, the larger sets add nothing.

It may be similar when it comes to arbitrarily large programs. The larger they become the larger the chunks of code that will repeat unchanged from smaller sets. There may come a point where meaning is exhausted and only meaningless rearrangements, and repetitions, conveying no additional information remain.

The universe, if infinite, ever larger regions will repeat at set distances. Any region will also have a finite number of states. This will bind maximum information content even if it were an infinite size computer. If even an infinite real universe has what seems like finite information content how can we expect computer programs to exceed such.

I repeat a region an infinite number of times and it carries no more information than just a single copy. An infinite universe has ever larger regions repeating unchanged the further you go, the chunks that are rearranged unchanged become larger and larger.

…

Take the set of all 4k images. Lets put accompanying digital audio files and arrange these as frames of say 5 hour video. The set of such videos is finite. Yet this set contains video of all possible worlds past present and future real or imaginary from all locations and perspectives.

No mathematical or computer conference can exist not contained in its entirety within this set, at most using several of the videos. Even if a conference was of infinite length it would merely repeat content or videos by necessity.

All the video of an immortal mathematician giving an infinite length lecture on the infinite body of math with the infinity of theorems would also be contained in the finite set.

By logical necessity the mathematician would start repeating words, later sentences, then paragraphs, hours of video would repeat, then days, then months, years, millennia as the conference progressed. As time went on the amount he would have to repeat exactly unchanged would grow longer and longer. This would make the sequence more and more compressible until it became infinitely compressible binding the infinite to the finite through an intimate relation.