So is physics best understood as a computer program with access to a random
oracle? (Coming from 1-indeterminacy.)
On Mar 31, 2013 8:13 AM, "Bruno Marchal" <[email protected]> wrote:

>
> On 31 Mar 2013, at 01:15, Joseph Knight wrote:
>
> Sorry for the vagueness of my question; I would not count pi as a physical
> constant. I would count the empirically determined circumference:diameter
> ratio for a circle in our observed curved spacetime as a physical constant.
>
> The reason I asked is because Bruno has repeatedly claimed that
> COMP=>"noncomputability of physics" but I'm wondering what exactly this
> would mean in practice.
>
>
> In practice it would mean that some phenomena are not predictible or
> computable. Russell and Brent are right, it comes from the FPI (first
> person indeterminacy) which introduces "genuine randomness" in the first
> person experience.
> In fact that randomness might be so great as leading to the "white
> rabbits", and with comp it is astonishing that the world around us seems so
> much computable. But the redundancy of the UD, and the constraints of
> correct self-reference add much structure, and if comp is true, that should
> be enough. The non computable sequence will still have computable
> distribution, like with QM, when, for example, we send a sheaf of electron
> is the 1/sqrt(2)(up + down) on a up/down Stern-Gerlach analyser. From the
> first person perspective, this leads to uncomputable sequence of events
> (even incompressible strings of up and down), but statistically, with
> Avogadro-like numbers of particles, the electronic sheaf will just split in
> symmetrical halves, like the big number statistical laws predict.
>
> It is an open problem if there are non computable constants in nature, as
> it is an open problem if some oracle might play a role in the development
> of the appearance of physical laws in the UD (or in arithmetic). That seems
> unlikely, but who knows? As Brent says, that would be hard to test, but it
> might make some sense from theoretical assumption, both in comp-physics,
> and in theoretical physics.  Note that it is easy to build a non computable
> solution to the SWE (something like Ae^ikHt, with k a non computable
> number, but it is impossible to test the non computability of such wave in
> case they occur. Machines can prove only the individual incompressibility
> of a *finite* number of strings.
>
> Bruno
>
>
>
> On Mar 30, 2013 6:53 PM, "Russell Standish" <[email protected]> wrote:
>
>> On Sat, Mar 30, 2013 at 04:15:54PM -0700, Joseph Knight wrote:
>> > True or False: COMP implies that any fundamental physical constant is
>> non
>> > computable?
>> >
>>
>> I would say false, unless you can say that pi is _not_ a physical
>> constant. Another example that springs to mind is the magnetic moment
>> of the neutron which is definitely physical, but maybe not fundamental.
>>
>> --
>>
>>
>> ----------------------------------------------------------------------------
>> Prof Russell Standish                  Phone 0425 253119 (mobile)
>> Principal, High Performance Coders
>> Visiting Professor of Mathematics      [email protected]
>> University of New South Wales          http://www.hpcoders.com.au
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