On 31 July 2014 10:26, Russell Standish <[email protected]> wrote:

> On Thu, Jul 31, 2014 at 10:08:52AM +1200, LizR wrote:
> >
> > PS One problem I have with uncountable infinity not being a feature of
> the
> > world is that it appears to scupper eternal inflation, and even universes
> > expanding exponentially. Does anyone have any comments on that?
> >
>
> Why?
>

Because if space-time isn't an infinitely divisible continuum, it
presumably has some sort of granularity, and if it's blown up in size (or
squashed down) the grain size may become relevant. It's one of the "end of
the universe scenarios" mentioned by Max Tegmark in his recent book, that
the expansion of the universe makes the quantum granularity too large for
matter to continue to exist (in some way).

I suppose that if you blow up space-time exponentially, you will rapidly
reach any existing grain size. If inflation would have blown up Planck-cell
sized chunks to anything vaguely macroscopic, for example, we wouldn't
expect any detail to exist below the expanded size.

I'm not sure exactly how this works, but once you have a universe in which
some sort of structure size is defined, expanding it a lot might thereafter
mean that size can't be supported anymore by quantum physics.

(If you see what I mean...?)

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