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Wave-Particle Duality in Classical Mechanics | | Alexander Y. Davydov
; | | Date: |
21 Jan 2012 | | Abstract: | Until recently, wave-particle duality has been thought of as quantum
principle without a counterpart in classical physics. This belief was
challenged after surprising discovery of "walkers" - droplets that bounce on a
vertically vibrating bath of the same fluid and can form wave-particle
symbiotic structures with the surface waves they generate. Macroscopic walkers
were shown experimentally to exhibit particle and wave properties
simultaneously. This paper exposes a new family of objects that can display
both particle and wave features all together while strictly obeying laws of the
Newtonian mechanics. In contrast to walkers, no constant inflow of energy is
required for their existence. These objects behave deterministically provided
that all their degrees of freedom are known to an observer. If, however, some
degrees of freedom are unknown, observer can describe such objects only
probabilistically and they manifest weird features similar to that of quantum
particles. We show that such quantum phenomena as particle interference,
tunneling, above-barrier reflection, trapping on top of a barrier, spontaneous
emission of radiation have their counterparts in classical mechanics. In the
light of these findings, we hypothesize that quantum mechanics may emerge as
approximation from a more profound theory on a deeper level. | | Source: | arXiv, 1201.4509 | | Services: | Forum | Review | PDF | Favorites | |
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