On Tue, Jun 2, 2020 at 5:39 AM Jason Resch <jasonre...@gmail.com> wrote:
> On Mon, Jun 1, 2020 at 6:26 AM Alan Grayson <agrayson2...@gmail.com> > wrote: > >> On Monday, May 18, 2020 at 9:20:36 PM UTC-6, Jason wrote: >>> >>> I recently wrote an article on the size of the universe and the scope of >>> reality: >>> https://alwaysasking.com/how-big-is-the-universe/ >>> >>> It's first of what I hope will be a series of articles which are >>> largely inspired by some of the conversations I've enjoyed here. It covers >>> many topics including the historic discoveries, the big bang, inflation, >>> string theory, and mathematical realism. >>> >>> Jason >>> >> >> I see you agree with the MUH that there are infinite, identical repeats >> of any universe. >> > > To be clear, the MUH is separate theory from the idea of a spatially > infinite universe (which is just the standard cosmological model that > working cosmologists assume today, that the universe is infinite, > homogeneous, and seeded by random quantum fluctuations occurring at all > scales during the expansion of the universe). > Define what you mean by "quantum fluctuations". There are no such things in standard quantum mechanics. > > >> I tend to think the opposite is true; namely, that in an infinite >> universe, there are no identical repeats; that is, every universe is >> unique. I've seen that the theory of infinite repeats is often "repeated", >> but where is the proof? AG >> > > The idea is not that the universe itself repeats, only that any finite > volume in that space repeats. This can be proved from the pigeon hole > principle (which can prove that there is at least one repeat). The proof is > as follows. > > Let's consider a volume of the mass and size of the Earth. That is a > sphere with a radius of 6,371 km and a mass of 5.8 × 10^24 kg. According to > Jacob > Bekenstein's bound <https://en.wikipedia.org/wiki/Bekenstein_bound>, the > total number of distinct quantum states possible is given by: 2.57 * 10^43 > bits per (kg * meter). > > For Earth that works out to: 2.57 × 10^43 bits/(kg * meter) * 5.8 × 10^24 > kg * 6,371,000 meters = 9.49 × 10^74 bits. > > Given that many bits, it means there are 2 to the power of (9.49 × 10^74), > let's say 2^(10^75), possible configurations for an Earth-sized object of > similar mass and volume. It's a large, but finite number. Let's call this > number *N = 2^(10^75)*. > > If the universe is infinite, and contains infinite numbers of planets, > then there is a finite number of possibilities equal to *N*. Let's assume > the first *N* such planets are all unique and different from each other. > The problem occurs once you get that *(N+1)*th planet. It can't be unique > from all the other *N* planets which came before it, since there are only > *N* possibilities. Therefore it has to be identical to one of the other > *N* planets. > That does not preclude the possibility of infinite repeats of just one of the states -- all others being unique. To have repeats of every possible state requires very strong homogeneity assumptions; assumptions that cannot ever be justified. Bruce -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAFxXSLQMYEoB%2BMgUj_JDom5Ld5O9X%2BmUMVjurOMfmCHfJ3MkcA%40mail.gmail.com.
