On 11/17/2012 4:25 PM, meekerdb wrote:
-------- Original Message --------
More In This Article
* Overview
_Is Quantum Reality Analog after All?_
(http://www.scientificamerican.com/article.cfm?id=is-quantum-reality-analog-after-all)
Conventional wisdom says that quantum mechanics is a theory of
discreteness, describing a world of irreducible building blocks. It
stands to reason
that computersÿÿwhich process information in discrete
chunksÿÿshould be able
to simulate nature fully, at least in principle. But it turns out that
certain asymmetries in particle physics cannot be discretized; they
are
irreducibly continuous. In that case, says David Tong, author of
"_Is Quantum
Reality Analog after All?_
(http://www.scientificamerican.com/article.cfm?id=is-quantum-reality-analog-after-all)
" in the December 2012 issue of
Scientific American, the world can never be fully simulated on a
computer.
Hi Brent,
This is what I have been trying to argue all along! One way to
prove that "the world can never be fully simulated on a computer" is
that to do such will cause a map paradox
<http://en.wikipedia.org/wiki/Bonini%27s_paradox>, where it is
impossible to localize the simulation/map. We can we around this by not
demanding single manifolds but instead using local mappings between many
manifolds and think of space-time as an emergent set of causal relations
that is constantly being updated, adapted, created. The Universe as the
Internet...
Additionally, QM only tells us that emission and absorption events
are quantized or 'digital', the dynamics themselves are smoothly continuous.
--
Onward!
Stephen
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