A Newtonian message for quantization
The dynamical equations related to Kepler motion are scale-invariant. This means that the dynamical model itself, described by these equations is space scale-invariant: it should work at the microscopic level just as well as it works at the macroscopic level. Why then the first quantization?
Is it telling something we could not read by the classical physics? The Bohr’s case of quantization, which initiated the first quantization, is presented here as a Newtonian instance of natural philosophy: the force characterizing the model has to account for some experimental observations
related to motion. It turns out that the only thing worth considering from the side of quantum revolution is the inspiration it could bring, for instance in problems of astrophysics, the branch of physics which actually helped start the quantum theory. That inspiration existed historically,
but was lost due to the attitude of our spirit, which tends to see things “quantal” different from, and more fundamental than, things “classical.” This work aims to present all things in a single classical order, and thus explain some of the present-day quantum theoretical
findings.
Keywords: Bohr’s Quantization; Geometrical Phase; Hertz Dipole; Inverse-Cube Force; Inverse-Square Force; Kepler Problem; Newtonian Natural Philosophy; Planetary Model of Atom; Spiral Galaxies; sl(2, R) Lie Algebra
Document Type: Research Article
Publication date: 26 June 2014
- Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
- Editorial Board
- Information for Authors
- Submit a Paper
- Subscribe to this Title
- Ingenta Connect is not responsible for the content or availability of external websites
- Access Key
- Free content
- Partial Free content
- New content
- Open access content
- Partial Open access content
- Subscribed content
- Partial Subscribed content
- Free trial content