On Tue, Nov 28, 2017 at 7:50 AM, Jason Resch <jasonre...@gmail.com> wrote:

>
>
> On Tue, Nov 28, 2017 at 6:06 AM, Bruno Marchal <marc...@ulb.ac.be> wrote:
>
>>
>> On 27 Nov 2017, at 04:04, Jason Resch wrote:
>>
>>
>> Richard Feynman in "The Character of Physical Law" Chapter 2 wrote:
>>
>> "It always bothers me that according to the laws as we understand them
>> today, it takes a computing machine an infinite number of logical
>> operations to figure out what goes on in no matter how tiny a region of
>> space, and no matter how tiny a region of time. How can all that be going
>> on in that tiny space? Why should it take an infinite amount of logic to
>> figure out what one tiny piece of space/time is going to do?"
>>
>> Does computationalism provide the answer to this question,
>>
>>
>> Yes.    :)
>>
>>
>>
> Very nice. It seems then Feynman's intuition was in the right place. The
> second half of the above quote was:
>
> "So I have often made the hypothesis ultimately physics will not require a
> mathematical statement, that in the end the machinery will be revealed and
> the laws will turn out to be simple, like the checker board with all its
> apparent complexities. But this is just speculation."
>
>
> So it looks like that simple machinery is the machinery of the universal
> machine and the simple laws  are those of Peano (or Robinson?) Arithmetic.
>
>
>>
>> in the sense that even the tiniest region of space is the result of an
>> infinity of computations going through an observer's mind state as it
>> observes the tiniest region of space?
>>
>>
>> That might be OK, if space was something entirely physical, which is
>> suggested by the physics of the vacuum, or general relativity, but with
>> Mechanism, spece and time might be less physical than here suggested. The
>> reason is that it is not clear how "empty space" could make a computation
>> different from another,
>>
>
> I think what I was thinking here were "closed loop feyman diagrams", where
> any possible diagram might be drawn in the tiniest area of space, so long
> as it is closed, e.g. fluctuations/particle creations are permitted so long
> as they all cancel out. So if space is physical, and enables any of these
> fluctuations to happen, then this noise can take any possible value from
> the observer's point of view (like the polarization of a photon).
>
>
>> and so space could be only a marker differentiating some computations,
>> like time seems to be in the indexical approach. All this would need big
>> advance in the mathematics of the intelligible and sensible arithmetical
>> matter. I expect space to be explained by quantum knot invariant algebra
>> due to subtil relation between BDB and DBD logical operators (I mean []<>[]
>> and <>[]<>). Kant might be right on this, apparently space and time are
>> really in the "categorie de l'entendement", I don't know Kant in English
>> sorry, but this means mainly that they belong to the mind).
>>
>>
> Thanks I very much appreciate these additional insights. I do subscribe to
> the belief that time is an illusion created by the mind. I have a little
> more trouble seeing that when extended to spacetime as a whole.  Though
> perhaps what's come closest to helping me see this picture is Amanda
> Gefter's excellent book "Trespassing on Einstein's Lawn"--I would recommend
> it to everyone on the Everything list. It takes the approach that only
> things that are invariant are real, and from there proceeds to deconstruct
> almost all of physics.
>
> Jason
>
>
I wanted to add, it also shows that the function (if you can call it that)
of practically every physical law is to ensure consistency between
observers. I think you would like it.

Jason

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