Klein, Ulf (2024) Quantizing Galilean spacetime: a reconstruction of Maxwell's equations in empty space. Quantum Stud. : Math. Found., 11. pp. 717-737.

Text klein_quantizing_galilean_spacetime_qsmf.pdf Download (552kB)

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Published Article or Volume
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 > Laws of Nature General Issues > Reductionism/Holism
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
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

• 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]

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Altmetric.com

Actions (login required)

View Item