On Mon, Sep 23, 2019 at 1:39 AM Jason Resch <[email protected]> wrote:

> On Thu, Sep 19, 2019, 9:34 PM Bruce Kellett <[email protected]> wrote:
>
>> On Fri, Sep 20, 2019 at 11:46 AM Jason Resch <[email protected]>
>> wrote:
>>
>>> On Thursday, September 19, 2019, Alan Grayson <[email protected]>
>>> wrote:
>>>>
>>>>
>>>> What I have shown is that it's hypothetically possible to have
>>>> countable universes wherein there are no repeats, no exact copies. AG
>>>>
>>>
>>> It might be imaginable but there being no duplicates of any finite
>>> spaces within an infinite space violates the Bekenstein bound and
>>> holographic principle.
>>>
>>
>> That is simply false. The duplicates could contain no information. The
>> Bekenstein bound applies to black holes, suggesting that if the infinite
>> space has a finite matter density, it will close to form a BH. The
>> holographic principle is a conjecture based on disfavoured string theory.
>>
>
> Both places absolute finite limits on the information content of a finite
> volume containing finite energy. Is this no longer a favored theory in
> physics?
>

Holography is highly speculative. The Bekenstein bound does not apply to
non-static universes, such as our expanding universe.


> If a finite region does contain finite information, then in an infinite
> (homogeneous) space, that same finite pattern will reappear infinitely.
>

You overlook the possibility that the infinite repeats are of uninteresting
volumes, and that the initial conditions for some volumes may never repeat.


> This is a consequence also of eternal inflation, and Guth used almost
> identical language saying everything that can happen happens an infinite
> number of times.
>

Guth was wrong about a lot of things. Eternal inflation is an unproven
speculative idea. Not even inflation itself is entirely secure -- it is
increasingly becoming to look like a solution in search of a problem. All
of Guth's original motivations for inflation have come to very little.

Bruce

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