The universe is not infinite, it has had a beginning.
If there was an eternal and infinite universe, infinite in space, past and future, then everything has been done infinitely often.
Yes, even an infinite number of times!
Empirically, the question of the finiteness or infinity of the universe is an open question.
At least towards the future. The fact that there must have been a beginning in the past is (theoretically) quite firmly fixed, through the Singularity theoretisms of Penrose and Hawking. Philosophically poses infinity problems. You put the finger on 1 of them.
IF the Universe (towards future/expansion) is infinite in time and space, AND it consists of a finite number of entities (e.g. elementary particles or fields), AND the number of combinations of those entities by natural laws is finite, AND reductionism , THEN it can be no different whether all possible combinations repeat themselves an infinite number of times.Note the number of times “AND” preceded by a “IF”.
In other words: if you have an endless game terrain, and that terrain is occupied with things built from a finite number of LEGO elements, which fit in a FINITE number of ways, then you can only populate that terrain completely if you have every possible combination of LEGO elements places an infinite number of times on the ground.
You will then end up in the schedule what you probably found in “eternal chaotic inflation”, where an infinite number of instantiations exist for every possible configuration of matter or energy, and this “seen” about an infinite number of “Kosmoi” or “Kosmossen” (bubbles produced by the endlessly inflating false vacuum).
This is a very speculative view of things (the number “AND” and the “ALS”), and there are serious epistemic and ethical problems with that view.Epistemic has proved impossible to develop a mathematics that allows meaningful statements about the whole of this cosmoi, or about 1 single cosmos (for example ours) departing from this view. This means the end of cosmology as science, if it is true. Ethically you also get into solid problems. Suppose: There are (in an infinite number of cosmoi) an infinite number of copies of me. And it’s all originals, no one is copy. They are equally worthy. Why would it be bad to shoot me (here and now)? What is my value, if I have neither uniqueness nor identity? There is still an infinite number of identical copies of mine. What then is the value of human life, yours or mine?
And yes, in this vision there are an infinite number of “ikken” that do identically the same as what I do here-e.g. write this contribution.Another infinite number that insert a comma somewhere that I don’t add here. Another infinite number that… not writing this post at all… an infinite number not sitting on Quora EN but on Quora Fr… an infinite number that has never reached my age but has died young… an infinite… Etc芒 鈧?娄 enz芒 鈧?娄 etc… infinities of Infinities of Infinities…
I think that this view offers little benefits and raises enormous problems.
Infinity is not an understanding of physics.In principle, the universe is by definition infinite because the universe is all that exists, including the so-called “nothing”. In short, if you think, philosophically, you do not conclude that there is a multiverse where all possible universes exist that are possible. After all, the plural of universe does not exist.
Everything is there at the same time.