úterý 27. ledna 2009

AWT and Bohmian mechanics

This post is a reaction to recent L. Motl's comments (1, 2, reactions) concerning the Bohm interpretation of quantum mechanics (QM), the concept of Louis de Broglie pilot wave in particular (implicate/explicate order is disputed here). Bohm's holistic approach (he was proponent of marxistic ideas) enabled him to see general consequences of this concept a way deeper, the aristocratic origin of de Broglie. It's not surprising, Bohm's interpretation has a firm place in AWT interpretations of various concepts, causual topology of implications and famous double slit experiment in particular. After all, we have a mechanical analogy of double slit experiment (DSE) presented already (videos), therefore it’s evident, QM can be interpreted by classical wave mechanics without problem..

Single-particle interference observed for macroscopic objects

AWT considers pilot wave as an analogy of Kelvin waves formed during object motion through particle environment. Original AWT explanation of double slit experiment is, every fast moving particle creates an undulations of vacuum foam around it by the same way, like fish flowing beneath water surface in analogy to de Broglie wave.

These undulations are oriented perpendicular to the particle motion direction and they can interfere with both slits, whenever particle passes through one of them. Aether foam gets more dense under shaking temporarily, thus mimicking mass/energy equivalence of relativity and probability density function of quantum mechanics at the same moment. The constructive interference makes a flabelliform paths of more dense vacuum foam, which the particle wave follows preferably, being focused by more dense environment, thus creating a interference patterns at the target.

By AWT the de Broglie wave or even quantum wave itself are real physical artifacts. The fact, they cannot be observed directly by the using of light wave follows from Bose statistics: the surface waves are penetrating mutually, so they cannot be observed mutually. But by Hardy's theorem weak (gravitational or photon coupling) measurement of object location without violating of uncertainty principle is possible. What we can observe is just a gravitational lensing effect of density gradients (as described by probability function), induced by these waves in vacuum foam by thickening effect during shaking.

Other thing is, whether pilot wave concept supplies a deeper insight or even other testable predictions, then for example time dependent Schrödinger equation does. By my opinion it doesn't, or it's even subset of information contained in classical QM formalism. This doesn't mean, in certain situations pilot wave formalism cannot supply an useful shortcut for formal solution (by the same way, like for example Bohr's atom model) - whereas in others cases it can become more difficult to apply, then other interpretations.

4 komentáře:

  1. Thanks for the link to the Single-Particle Interference Observed For Macroscopic Objects paper.

    I like John Bell's quote: While the founding fathers agonized over the question 'particle' or 'wave', de Broglie in 1925 proposed the obvious answer 'particle' and 'wave'. Is it not clear from the smallness of the scintillation on the screen that we have to do with a particle? And is it not clear, from the diffraction and interference patterns, that the motion of the particle is directed by a wave? De Broglie showed in detail how the motion of a particle, passing through just one of two holes in screen, could be influenced by waves propagating through both holes. And so influenced that the particle does not go where the waves cancel out, but is attracted to where they cooperate. This idea seems to me so natural and simple, to resolve the wave-particle dilemma in such a clear and ordinary way, that it is a great mystery to me that it was so generally ignored.

    By the way, you write therefore it’s evident, QM can be interpreted by classical wave mechanics without problem. It would be more correct to say: quantum slit experiments can be interpreted by classical wave mechanics without problem. Not all of QM may be interpreted by classical wave mechanics.

    Kind regards,

  2. Meaning of word may: Fermi exclusion principle for example may not be explained by classical wave mechanics, in my view.

    What are the two postulates of AWT?

  3. By AWT Universe is composed of inhomogeneous environment of infinite mass/energy density - so called an Aether (1st postulate). The appearance of reality is given by fact, we can observe only transversal waves of this environment (2nd postulate).

    Fermi exclusion principle can be demonstrated by surface tension of mercury droplets, for example. While these droplets tends to merge together by weak attractive force (analogy of gravity), the strong but short distance force prohibits them in immediate merging (analogy of weak nuclear force).


    By this way, large pile of tiny mercury droplets will not collapse immediately, until this collapse isn't initiated by merging of few droplets inside it - after then the avalanche-like collapse of the whole pile occurs. For example, LHC experiments can serve like initiator of terrestrial matter collapse into singularity.

  4. In 1952 David Bohm (re)formulated the EPR paradox in terms of spins, which were easier to visualize.