Klein, Ulf (2023) Quantizing Galilean spacetime - A reconstruction of Maxwell's equations in empty space. [Preprint]

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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:	Preprint
Creators:	Creators Email ORCID Klein, Ulf ulf.klein@jku.at
Keywords:	Derivation of Maxwell's equations, Quantum of light, Photon hypothesis, Planck-Einstein relation, Particle-Field dichotomy, Generalized quantization
Subjects:	General Issues > Scientific Metaphysics General Issues > Laws of Nature General Issues > Philosophers of Science
Depositing User:	Dr. Ulf Klein
Date Deposited:	04 Feb 2024 05:40
Last Modified:	04 Feb 2024 05:40
Item ID:	23044
DOI or Unique Handle:	https://doi.org/10.48550/arXiv.2304.11380
Subjects:	General Issues > Scientific Metaphysics General Issues > Laws of Nature General Issues > Philosophers of Science
Date:	22 April 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/23044

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