Klein, Ulf (2024) Quantizing Galilean spacetime: a reconstruction of Maxwell's equations in empty space. Quantum Stud. : Math. Found., 11. pp. 717-737.
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Abstract
As was recently shown, non-relativistic quantum theory can be derived by means of a
projection method from a continuum of classical solutions for (massive) particles. In this paper we show
that Maxwell's equations in empty space can be derived using the same method.
In this case the starting point is a continuum of solutions of equations of motion for massless particles
describing the structure of Galilean space-time. As a result of the projection, the space-time
structure itself is changed by the appearance of a new fundamental constant $c$ with the dimension
of a velocity. This maximum velocity $c$, derived here for massless particles, is analogous to the
accuracy limit $\hbar$ derived earlier for massive particles. The projection method can thus be
interpreted as a generalized quantization. We suspect that all fundamental fields can be traced back to
continuous sets of particle trajectories, and that in this sense the particle concept is more fundamental
than the field concept.
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| Item Type: | Published Article or Volume | ||||||
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| Keywords: | Derivation of Maxwell's equations, Quantum of light, Photon hypothesis, Planck-Einstein relation, Particle-Field dichotomy, Generalized quantization | ||||||
| Subjects: | General Issues > Laws of Nature General Issues > Reductionism/Holism |
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| Depositing User: | Dr. Ulf Klein | ||||||
| Date Deposited: | 07 Sep 2024 12:41 | ||||||
| Last Modified: | 07 Sep 2024 12:41 | ||||||
| Item ID: | 23879 | ||||||
| Journal or Publication Title: | Quantum Stud. : Math. Found. | ||||||
| Publisher: | Springer | ||||||
| DOI or Unique Handle: | 10.1007/s40509-024-00345-4 | ||||||
| Subjects: | General Issues > Laws of Nature General Issues > Reductionism/Holism |
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| Date: | 16 August 2024 | ||||||
| Page Range: | pp. 717-737 | ||||||
| Volume: | 11 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/23879 |
Available Versions of this Item
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Quantizing Galilean spacetime - A reconstruction of Maxwell's equations in empty space. (deposited 04 Feb 2024 05:40)
- Quantizing Galilean spacetime: a reconstruction of Maxwell's equations in empty space. (deposited 07 Sep 2024 12:41) [Currently Displayed]
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