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To: decimon

“A quantum fractal is a wavefunction with a real and an imaginary part continuous everywhere, but differentiable nowhere. This lack of differentiability has been used as an argument to deny the general validity of Bohmian mechanics (and other trajectory-based approaches) in providing a complete interpretation of quantum mechanics. Here, this assertion is overcome by means of a formal extension of Bohmian mechanics based on a limiting approach. Within this novel formulation, the particle dynamics is always satisfactorily described by a well-defined equation of motion. In particular, in the case of guidance under quantum fractals, the corresponding trajectories will also be fractal.”


8 posted on 07/28/2010 5:40:56 PM PDT by Dan B Cooper
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To: Dan B Cooper

Thanks - that clears everything up... ;)


9 posted on 07/28/2010 5:43:41 PM PDT by Uncle Ike (Rope is cheap, and there are lots of trees...)
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To: Dan B Cooper

I had a Bohemian mechanic once and...

Oh, Bohmian.


13 posted on 07/28/2010 5:49:59 PM PDT by decimon
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To: Dan B Cooper
"Within this novel formulation, the particle dynamics is always satisfactorily described by a well-defined equation of motion. In particular, in the case of guidance under quantum fractals, the corresponding trajectories will also be fractal.”

In other words, the equations balance.

19 posted on 07/28/2010 6:11:32 PM PDT by circlecity
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To: Dan B Cooper
Quantum fractal chips with nacho sauce.

mmmmmmmmmm

35 posted on 07/28/2010 7:18:21 PM PDT by Lazamataz ("We beat the Soviet Union. Then we became them." -- Lazamataz, 2005)
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To: Dan B Cooper

The are using the limit method v. differential method to describe the trajectory (think slope of a curve at a point).


54 posted on 07/29/2010 5:33:53 PM PDT by Hoosier-Daddy ( "It does no good to be a super power if you have to worry what the neighbors think." BuffaloJack)
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