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A Nonlinear Quantum Fall

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We consider the free fall of a massive point particle in the context of the nonlinear version of quantum mechanics as is being considered, in particular, by the Lisbon group working on the foundations of Physics. The nonlinear differential equation to be considered is but a prototype of a yet to be fully developed approach that takes nonlinearities to be basic to a more adequate description of physical phenomena, and not as some kind of perturbations to be treated over an essentially linear description. Said nonlinear equation should eventually result from a very different set of equations, taking the participation of the sub-quantum medium as the underlying source of all dynamics. Herein, the wave function that results from the nonlinear “master equation” shows directly the independence of the resulting motion on the mass of the falling particle.
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Document Type: Research Article

Publication date: June 1, 2015

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  • QUANTUM MATTER is a peer-reviewed interdisciplinary journal consolidating research activities in all theoretical, experimental and technological aspects dealing with fundamental structure of matter from cosmology to materials science.
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