On Wed, Mar 19, 2014 at 12:54 PM, Edgar L. Owen <[email protected]> wrote:

> Brent,
>
> If information is not being lost then the amount of information in the
> universe is increasing at a tremendous rate as new events occur, and has
> been since the beginning. So where is all that new information being
> stored? How can ever increasing amounts of information be being stored in
> the SAME amount of matter states?
>

By an increase in Shannon entropy, up to a point.
This is why you can compress computer files, for example.

Telmo.


>
> Presumably you do agree that information can't just float around somehow
> without actually being encoded in actual matter states?
>
> I think I know the answer but would like to hear your take on it first....
>
> Edgar
>
>
>
> On Tuesday, March 18, 2014 8:57:57 PM UTC-4, Brent wrote:
>
>>  On 3/18/2014 5:07 PM, LizR wrote:
>>
>>  On 19 March 2014 12:47, meekerdb <[email protected]> wrote:
>>
>>>  But in general that would mean knowing the state of everything the
>>> system had interacted with in the past, since it is now entangled with
>>> them.  So even if you suppose there is no collapse of the wavefunction,
>>> decoherence has the same effect.
>>>
>>
>>  I was only asking about the theoretical possibility, given
>> unrealistically perfect information about the state of the system.
>>
>>
>> The universe (assuming unitary QM) is reversible.  In fact from the
>> standpoint of QM there is no arrow of time - it's deterministic, just like
>> Laplace's universe.  So, as always, when the word "possibility" is used
>> there has to be some context.  To *calculate* a history of the universe
>> from it's present state would require knowing its *complete* present state,
>> including your mental state.  Is that "theoretically possible"?  I think it
>> involves a paradox of self-reference.
>>
>>  To put it another way, in the Game of Life, even with perfect
>> information, you can't trace the state of the system backwards because it
>> loses information. So even the laws of physics couldn't work backwards in a
>> universe based on the GOL. QM, I'm informed, doesn't lose information, so
>> (very much in theory) you could work backwards - or (less in theory) the
>> laws of physics could.
>>
>>
>> Yes the universe doesn't lose information like the GoL.  But relative to
>> any point it loses information across spacetime horizons.  So there's no
>> way to gather that information up into a calculation unless you have some
>> God's eye view from outside the universe, in which case you could see the
>> past anyway.
>>
>> There's a couple of nice papers about this by Yasunori Nomura:
>> arXiv:1205.267v2 is a popular exposition and arXiv:1205.5550v2 is a more
>> technical paper.
>>
>> Brent
>>
>>
>>  I wasn't asking whether I could build a chronoscope and watch the past
>> happening on TV.
>>
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