On 05 Jun 2016, at 01:26, Bruce Kellett wrote:
On 5/06/2016 3:31 am, Bruno Marchal wrote:
On 04 Jun 2016, at 01:28, Bruce Kellett wrote:
On 4/06/2016 4:16 am, Brent Meeker wrote:
If the world is a simulation, i.e. is being computed by a Turing
machine, then the computation can implement non-local hidden
variables and violate Bell's inequality in the simulated world
(in fact all its variables would be non-local since locality and
spacetime would just be computed phenomena).
Sure, Bell's theorem only rules out local hidden variables. If you
simulate non-local hidden variables (i.e., get the separated
experimenters to communicate non-locally), then of course you can
reproduce the quantum correlations. But I was under the
impression that the computationalist goal was to eliminate non-
locality. Separated experimenters, with as much computing power as
necessary, cannot simulate the quantum correlations by performing
only local computations.
You can simulate the whole (multiversial) structure, and the
observers will find that from their perspective, Bell's inequality
are violated. From outside, we can see (like Everett saw) that it
is just a case of self-duplication FPI. (Which brings us back to
the preceding thread of course).
Locally, Alice and Bob can simulate anything they like, and they can
simulate universes with non-local hidden variables, and predict
that within those worlds the Bell inequalities are violated. But
when they get back to their own world and compare their results,
they will find that the correlations between their separate
simulations of the results of spin measurements at arbitrary angles
invariably satisfy the inequalities. In other words, they cannot,
jointly, simulate the quantum results in any world that they both
inhabit. The MWI view from outside is no different -- non-locality
is inescapable.
You don't need to simulate hidden non- local variable. You need to
just simulate the wave function. It will take a super-exponential time
to do so, but the many couples of Alice and Bob will all (except for a
negligeable subset) detect non-locality in their respective branches,
although we, from outside, will know that noting non-local ever
happened. The non-locality will only be a FPI statistical appearances.
It is the same for "our" multiverse. It obeys a deterministic local
equations, and non-locality in all branches are a local relative
appearance, like the indeterminacy itself.
Bruno
Bruce
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