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Atlantis Press eBooks

From Rigid Marble to Vibrating Droplet of Charge: Model Assumptions

Theo van Holten

Published Dec 9, 2016• 0 citations
Publisher

Abstract

The two preceding chapters (Chaps. 2 and 3 ) were about “normal” quantum mechanics. From this point on we change the subject, and turn to the mental pictures proposed in this book about quantum behaviour. It is shown how the droplet of charge has been modelled. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

DOI
10.2991/978-94-6239-234-2_4

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Atlantis Press eBooks•Dec 9, 2016•0 citations
The two preceding chapters (Chaps. 2 and 3 ) were about “normal” quantum mechanics. From this point on we change the subject, and turn to the mental pictures proposed in this book about quantum behaviour. It is shown how the droplet of charge has been modelled. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Following a short history of quantum mechanics, an outline of the contents of this book is given. A model of an electron is derived by time-averaging the motion of a “zittering” electromagnetic singularity, and by adding an apparent force in the form of surface tension in order to remove false electrostatic effects due to the model simplification. This model of a deformable droplet of charge is adopted as a working hypothesis, to see what are the consequences of such a model. The consequences are mathematically worked out and are shown to lead to a quantitatively correct replica of quantum behaviour. Matter waves are shown to correspond to trains of beats in the pulsation of the droplet, and the correct value of Planck's constant is derived. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
The conclusion of Part I, the non-technical (or somewhat less technical) part of this book, is that a completely convincing model of our universe is lacking. This should be a model that shows how quantum mechanical behaviour, with all its mysteries and paradoxes, can emerge from a local, deterministic theory. Yet we also find that one can assume its existence to arrive at a picture of our quantum mechanical universe that makes perfect sense. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
In the previous chapter the motion of the “analogon-machine” was studied in case the torsional spring shown in Fig. 7.3 was removed. Our laboratory set-up thereby became the analogue of a free-flying droplet of charge. In the present chapter the analogue of a potential well will be studied. It is shown that energy quantisation is found, identical to the results of quantum mechanics. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.