On 03 Jun 2016, at 12:22, 'scerir' via Everything List wrote:
Bruce:
This relates to my current obsession with the universal
applicability of
Bell's theorem (and other inequalities such as that of CHSH).
Consider the
statement of the Church-Turing thesis: "the statement that our laws
of physics
can be simulated to any desired precision by a Turing machine (or at
any rate,
by a probabilistic Turing machine)". This is not true for Bell-type
experiments
on entangled particle pairs. To be more precise, the correlations
produced from
measurements on entangled pairs at spacelike separations cannot be
reproduced
by any computational process. [....]
That is correct, but is already a theorem of computationalism. Given
that any piece of observable matter is given by the statistics on your
first person experience on the whole UD*, a priori "matter" is *not*
simulable "in real time" nowehere. But as Deutch saw for quantum
computer: a quantum computer, which exploits that statistics directly,
can simulate any other quantum computer or quantum events (giving
sense to a physical "CT" thesis, which has nothing to do with the
usual Church-Turing thesis, and which is an open problem).
Note that the quantum computer, for example, does not violate Church
Turing thesis, and a classical computer can emulate any quantum
computable events, albeit not in real" or "polynomial" time. And to
get the Bell's violation inequality, you need to interview the
creatures inside the simulations.
Logicians have the tools to define the first person and third person
views in precise (mathematical, arithmetical) terms.
Open problem: is physics only the "music of the primes"? It might be
that the distribution of primes, seen globally (like with the Riemann
zeta function) already encodes the full sigma_1 complexity, and thus
a universal dovetailer. That might be a way to tackle the Riemann
hypothesis. Then there is evidence it might emulate a sort of nuclear
quantum chaotical "physical" regime (Work by Berry, Montgomery, ...).
(I talked about such type of theory some time ago).
The number 24 has some hidden power to, ... (Might some day make a
post on that. It plays some role in the irreducible group
representations theory).
In the meantime the more mathematically inclined can listen to John
Baez reason to love the number 24:
https://www.youtube.com/watch?v=vzjbRhYjELo
Mine are more related to the partition number theory (which I
sometimes used to illustrate the remarkable complexity of the additive
theory of numbers):
https://www.youtube.com/watch?v=aj4FozCSg8g
God created the natural numbers, and told them to add and multiply.
Then the number 24 hypnotized all the universal numbers and made them
believe in gravitation, space, time, wave and particles ... (grin).
I always fear that the number theorists find the physical reality
before the theologians, which might make us dismiss the (G* minus G)
part of (self) reality for another millennium ...
Bruno
### Unless something strange is going on here. In example, I'm
trying to
understand something J.Christian wrote recently.. See Appendix D,
page 8 and 9
in this paper https://arxiv.org/pdf/1501.03393v6.pdf
BTW L. Accardi, (Accardi and Regoli, 2000, 2001; Accardi, Imafuku
and Regoli,
2002) has claimed to have produced a suite of computer programmes,
to be run on
a network of computers, which will simulate a violation of Bell's
inequalites.
See also http://arxiv.org/pdf/1507.00106v3.pdf
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