On 27 March 2014 11:53, Russell Standish <li...@hpcoders.com.au> wrote:
> On Thu, Mar 27, 2014 at 11:31:25AM +1300, LizR wrote: > > On 27 March 2014 11:30, Russell Standish <li...@hpcoders.com.au> wrote: > > > > > > > > infinitely big in either space or time ... - yes, well why not? We > > > consider Turing machines that can run for ever with a potentially > > > infinite tape. > > > > > > I think infinite in time but not space implies a Nietzschean eternal > > recurrence? Which makes said brain effectively finite (well, "merely" > > limited to all possible brains, so only finite after it's lived every > > possible life available to any being, anywhere - or experienced all the > > pigeonholes up to whatever the Beckenstein brain bound is, probably > quite a > > lot). > > > Discuss what this means for Tipler's Omega point (finite amount of > space, but an infinite amount of computation). > > It means space-time is infinitely divisible and this can be used to create hypercomputers as a naked singularity is approached, I guess. Or maybe it means that Tipler didn't see any upper limit on the energy levels of some physical system (gravity waves?) that could be used by a sufficiently advanced civilisation (I would think the Planck temperature would put a bound on that in practice???) Sorry it's a long time since I read that book and I'm vague as to the physical mechanism he was proposing. I was only considering brains in flat space-time with a finite number of possible quantum states available (the latter in particular is a standard assumption for a theory of immortality I think, as we discussed earlier). So these would be brains limited by the Beckenstein bound on their volume of space-time. Actually the BB applies to black holes as well so I would guess that might cause a problem for the Big Crunch, I'm not sure, would it apply to a naked singularity? -- 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/d/optout.