Developed Method. Interactions and Their Quantum Picture

Piotr Ogonowski

doi:10.20944/preprints202304.0011.v3

Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 3 April 2023 / Approved: 3 April 2023 / Online: 3 April 2023 (05:43:25 CEST)
Version 2 : Received: 8 June 2023 / Approved: 9 June 2023 / Online: 9 June 2023 (05:38:27 CEST)
Version 3 : Received: 16 June 2023 / Approved: 16 June 2023 / Online: 16 June 2023 (10:23:41 CEST)
Version 4 : Received: 22 July 2023 / Approved: 24 July 2023 / Online: 25 July 2023 (03:26:56 CEST)
Version 5 : Received: 16 August 2023 / Approved: 16 August 2023 / Online: 16 August 2023 (08:00:34 CEST)
Version 6 : Received: 13 October 2023 / Approved: 17 October 2023 / Online: 17 October 2023 (07:07:42 CEST)

By developing the previously proposed method of combining continuum mechanics with Einstein Field Equations, a complete description of the physical system was obtained. The density of the Lagrangian for the system turns out to be equal to the invariant of the electromagnetic field tensor, vanishing four-divergence of canonical four-momentum appears to be consequence of the Poyinting theorem, and explicit form of one of gauges of the electromagnetic four-potential was introduced. A quantum picture of the system was also proposed, leading to the Klein-Gordon equation, which seems to finally reconcile the curvilinear description, classic relativistic description and quantum description of the physical system.

Field theory; Lagrangian mechanics; Quantum mechanics; General Relativity

Physical Sciences, Theoretical Physics

Comment 1

Received: 16 June 2023
Commenter: Piotr Ogonowski
Commenter's Conflict of Interests: Author

Comment: Section III corrected and clarified.

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Developed Method. Interactions and Their Quantum Picture

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