A very interesting paper filling out a conjecture by Scott Aaronson and similar to Bruce's
analysis but with more detail. It doesn't so much solve the foundational problem, as
usually conceived, as define what FAPP must mean and quantify it in computational terms
(instead of probability units as I have proposed).
/Computational solution to quantum foundational problems//
//Arkady Bolotin//
//(Submitted on 30 Mar 2014 (v1), last revised 16 Jun 2014 (this version, v6))//
//
// This paper argues that the requirement of applicableness of quantum linearity to any
physical level from molecules and atoms to the level of macroscopic extensional world,
which leads to a main foundational problem in quantum theory referred to as the
"measurement problem", actually has a computational character: It implies that there is a
generic algorithm, which guarantees exact solutions to the Schrodinger equation for every
physical system in a reasonable amount of time regardless of how many constituent
microscopic particles it comprises. From the point of view of computational complexity
theory, this requirement is equivalent to the assumption that the computational complexity
classes P and NP are equal, which is widely believed to be very unlikely. As demonstrated
in the paper, accepting the different computational assumption called the Exponential Time
Hypothesis (that involves P!=NP) would justify the separation between a microscopic
quantum system and a macroscopic apparatus (usually called the Heisenberg cut) since this
hypothesis, if true, would imply that deterministic quantum and classical descriptions are
impossible to overlap in order to obtain a rigorous derivation of complete properties of
macroscopic objects from their microstates.//
//
//Comments: Paper accepted for publication in Physical Science International Journal.
Please refer to this (final) version as a reference//
//Subjects: Quantum Physics (quant-ph)//
//Journal reference: Phys. Sci. Int. J. 2014; 4(8): 1145-1157//
//Cite as: arXiv:1403.7686 [quant-ph]//
// (or *arXiv:1403.7686v6 *[quant-ph] for this version)/
Brent
On 6/24/2014 6:01 PM, LizR wrote:
This item in further reading looks interesting too
https://medium.com/the-physics-arxiv-blog/7ef5eea6fd7a
(Not that I'm not busy here at work... )
On 25 June 2014 12:44, 'Chris de Morsella' via Everything List
<[email protected] <mailto:[email protected]>> wrote:
Interesting synopsis of a paper on http://arxiv.org/abs/1404.1207 -- don't
have
access though -- so here is the write up. Not sure if this has already been
discussed here or not.
A Mathematical Proof That The Universe Could Have Formed Spontaneously From
Nothing
<https://medium.com/the-physics-arxiv-blog/ed7ed0f304a3>
image <https://medium.com/the-physics-arxiv-blog/ed7ed0f304a3>
A Mathematical Proof That The Universe Could Have Fo...
<https://medium.com/the-physics-arxiv-blog/ed7ed0f304a3>
Cosmologists assume that natural quantum fluctuations allowed the Big Bang
to happen
spontaneously. Now they have a math…
View on medium.com <https://medium.com/the-physics-arxiv-blog/ed7ed0f304a3>
Preview by Yahoo
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