On 27 March 2014 11:53, Russell Standish <[email protected]> wrote:
> On Thu, Mar 27, 2014 at 11:31:25AM +1300, LizR wrote: > > On 27 March 2014 11:30, Russell Standish <[email protected]> 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.

