On 31 July 2014 19:17, meekerdb <[email protected]> wrote:

>  On 7/30/2014 4:57 PM, LizR wrote:
>
>  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).
>
>
> The evidence however is against spacetime granularity:
>
> Yes, also granularity is fundamentally at odds with Lorentz invariance
(amongst other things). But something has to give in merging GR and QM and
the nature of space-time is a possibility, as various attempted TOEs have
assumed (string, LQG, CDT etc).

>  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.
>
> Macroscopic, in the sense of "classical acting, not quantum", is a matter
> of degrees of freedom.  So  I think it would depend on how things were
> "blown up".  Just changing the Planck length would be simple rescaling and
> nothing observable would change.  So space quanta would have to get bigger
> compared to something else fundamental.
>

Obviously Max isn't just assuming a scale change.

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