Isn't quantum mechanics based on the reals?
On Sat, Feb 15, 2014 at 12:20 PM, meekerdb <meeke...@verizon.net> wrote: > On 2/15/2014 1:38 AM, Bruno Marchal wrote: > > > You might keep in mind that astonishing truth (deducible from > Matiyasevitch): > - The polynomial on the reals are not Turing universal (you cannot > simulate an exponential with such polynomials) > - the polynomial on the integers are Turing universal, you can simulate > exponential, and indeed all Turing machine with them. You can simulate the > function sending the integers x on x^(x^(x^(x^...))) x times with a > integers polynomial of dgree four!, but you cannot with any polynomials on > the reals. > > > That is astonishing. Where can I read a proof (without having to learn > too much background)? > > Brent > > -- > 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 post to this group, send email to everything-list@googlegroups.com. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > -- 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 post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
