These are not known to be significant and there is no logical reason to believe they are significant. However, they are interesting and worthy of thought. Many here will have already done so, but a refresher never hurts.
Pi can be calculated as a function, but any specific digit can also be calculated directly, which implies the digits are non-random in some sense. The overall distribution is equivalent to random, but the next two points show that's not a measure of true randomness, merely a pre-requisite. Next, the distribution of prime numbers is similar in nature to the distribution of quantum states of particles. There are systems where the energy states do match the pattern of primes. Primes are not quite random. If you know the last digit of a prime number, then you can predict the last digit of the next prime number significantly better than average. Apparently, in some cases, you've a 60%+ chance of doing so. That's not random. What can we deduce from this? Directly, nothing whatsoever. Indirectly, however, it starts to look interesting. If you do not need infinite precision and infinite range, because everything can be inferred from a finite set of finite-length seeds, you can have the effects of infinity without needing it to be physically explained (infinities cause physicists to break out in a nasty rash). This obviously has interesting implications for mathematical realism, ideas of simulated universes, etc, as it's much easier for mathematics to generate results than for physics to. Obviously physics can produce this continuous padding to the accuracy of the universe, that's implied by quantum foam. However, amplifying pure noise usually produces pure noise. Chaos produces something other than noise precisely because it's not random. It's not predictable, but it's entirely deterministic. So, either we have to suppose quantum foam is deterministic in and of itself, or it's deterministic because there's something beneath physics that determines it. At least, if the above reasoning is both necessary and sufficient. If it's wrong or has gaps, then the conclusion obviously is obviously also wrong. -- 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
