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Galactic Symmetry
Version 1
: Received: 8 September 2020 / Approved: 10 September 2020 / Online: 10 September 2020 (03:54:27 CEST)
Version 2 : Received: 21 February 2022 / Approved: 22 February 2022 / Online: 22 February 2022 (08:23:27 CET)
Version 3 : Received: 3 June 2022 / Approved: 6 June 2022 / Online: 6 June 2022 (09:27:33 CEST)
Version 4 : Received: 25 August 2022 / Approved: 26 August 2022 / Online: 26 August 2022 (11:33:29 CEST)
Version 5 : Received: 7 November 2022 / Approved: 7 November 2022 / Online: 7 November 2022 (10:59:26 CET)
Version 6 : Received: 4 December 2022 / Approved: 5 December 2022 / Online: 5 December 2022 (10:32:03 CET)
Version 7 : Received: 7 April 2024 / Approved: 8 April 2024 / Online: 8 April 2024 (11:40:23 CEST)
Version 8 : Received: 15 July 2024 / Approved: 15 July 2024 / Online: 16 July 2024 (07:04:38 CEST)
Version 2 : Received: 21 February 2022 / Approved: 22 February 2022 / Online: 22 February 2022 (08:23:27 CET)
Version 3 : Received: 3 June 2022 / Approved: 6 June 2022 / Online: 6 June 2022 (09:27:33 CEST)
Version 4 : Received: 25 August 2022 / Approved: 26 August 2022 / Online: 26 August 2022 (11:33:29 CEST)
Version 5 : Received: 7 November 2022 / Approved: 7 November 2022 / Online: 7 November 2022 (10:59:26 CET)
Version 6 : Received: 4 December 2022 / Approved: 5 December 2022 / Online: 5 December 2022 (10:32:03 CET)
Version 7 : Received: 7 April 2024 / Approved: 8 April 2024 / Online: 8 April 2024 (11:40:23 CEST)
Version 8 : Received: 15 July 2024 / Approved: 15 July 2024 / Online: 16 July 2024 (07:04:38 CEST)
How to cite: Oldani, R. Galactic Symmetry. Preprints 2020, 2020090215. https://doi.org/10.20944/preprints202009.0215.v5 Oldani, R. Galactic Symmetry. Preprints 2020, 2020090215. https://doi.org/10.20944/preprints202009.0215.v5
Abstract
Differences between the quantum mechanical and relativistic concepts of time are explained by applying the strong equivalence principle to the electron in an atomic clock. The resulting clock model calls for the microscopic equations of motion of the electron to be formulated in Minkowski space, and for the photon to be described relativistically as a four-dimensional localization of energy. The resulting Lagrangian formulation of quantum mechanics is completely analogous to the more familiar nonrelativistic Hamiltonian model based on the Schrödinger equation. It accounts for the 720 degree rotation of a wave function as the absorption of one 360 degree electromagnetic wave cycle and the emission of another, yielding two wave cycles to correspond with one clock cycle. Because the properties of energy are universal the equations are able to be extended to include galaxies in spite of vast differences in lifetime. They show that symmetry exists between the electromagnetic fields of atoms and the gravitational fields of galaxies due to the presence in both of radial and transverse fields. The description of galaxy structure is fundamentally distinct because it is based on the conjugate variables energy and time.
Keywords
time; clocks; quantum mechanics; relativity theory; conjugate variables; non-inertial; space-time linearity; energy
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Richard Oldani
Commenter's Conflict of Interests: Author
In section 4.4 it is shown that relativistic Lagrangian qm and nonrelativistic qm are equivalent.