Preprint Article Version 11 Preserved in Portico This version is not peer-reviewed

Alena Tensor and Its Possible Applications in Unification Theories

Version 1 : Received: 28 October 2023 / Approved: 30 October 2023 / Online: 30 October 2023 (08:36:58 CET)
Version 2 : Received: 30 November 2023 / Approved: 1 December 2023 / Online: 1 December 2023 (07:38:19 CET)
Version 3 : Received: 18 January 2024 / Approved: 19 January 2024 / Online: 19 January 2024 (13:12:30 CET)
Version 4 : Received: 26 February 2024 / Approved: 27 February 2024 / Online: 27 February 2024 (14:01:13 CET)
Version 5 : Received: 10 April 2024 / Approved: 11 April 2024 / Online: 11 April 2024 (15:25:11 CEST)
Version 6 : Received: 7 May 2024 / Approved: 8 May 2024 / Online: 8 May 2024 (11:36:00 CEST)
Version 7 : Received: 12 June 2024 / Approved: 13 June 2024 / Online: 13 June 2024 (14:26:56 CEST)
Version 8 : Received: 2 July 2024 / Approved: 2 July 2024 / Online: 3 July 2024 (10:44:25 CEST)
Version 9 : Received: 24 July 2024 / Approved: 25 July 2024 / Online: 29 July 2024 (10:44:03 CEST)
Version 10 : Received: 23 August 2024 / Approved: 23 August 2024 / Online: 26 August 2024 (09:42:23 CEST)
Version 11 : Received: 3 September 2024 / Approved: 3 September 2024 / Online: 4 September 2024 (08:37:04 CEST)
Version 12 : Received: 17 September 2024 / Approved: 18 September 2024 / Online: 18 September 2024 (11:13:38 CEST)

How to cite: Ogonowski, P.; Skindzier, P. Alena Tensor and Its Possible Applications in Unification Theories. Preprints 2023, 2023101872. https://doi.org/10.20944/preprints202310.1872.v11 Ogonowski, P.; Skindzier, P. Alena Tensor and Its Possible Applications in Unification Theories. Preprints 2023, 2023101872. https://doi.org/10.20944/preprints202310.1872.v11

Abstract

Alena Tensor is a recently discovered class of energy-momentum tensors that provides mathematical framework in which, as demonstrated in previous publications, the description of a physical system in curved spacetime and its description in flat spacetime with fields are equivalent. The description of a system with electromagnetic field based on Alena Tensor can be used to reconcile physical descriptions. 1) In curvilinear description, Einstein Field Equations were obtained with Cosmological Constant related to the invariant of the electromagnetic field tensor, which can be interpreted as negative pressure of vacuum, filled with electromagnetic field. 2) In classical description for flat spacetime, three densities of four-forces were obtained: electromagnetic, against gravity, and the force responsible for the Abraham-Lorentz effect (radiation reaction force). Obtained connection of Einstein tensor with gravity and radiation reaction force, after transition to curvilinear description, excludes black hole singularities. There was obtained Lagrangian density and generalized canonical four-momentum, containing electromagnetic four-potential and a term responsible for the other two forces. In this description charged particles cannot remain at complete rest and should have spin, their energy results from the existence of energy of magnetic moment and the density of this energy is part of the Poyting four-vector. The distribution of charged matter was expressed as polarization-magnetization stress-energy tensor, what may explain why gravity is invisible in QED. 3) In quantum picture, QED Lagrangian density simplification was obtained, and the Dirac, Schrödinger and Klein-Gordon equations may be considered as approximations of the obtained quantum solution. Farther use of Alena Tensor in unification applications was also discussed.

Keywords

unification; electrodynamics; general relativity; dark energy; dark matter; quantum field theory; quantum mechanics; continuum mechanics

Subject

Physical Sciences, Theoretical Physics

Comments (1)

Comment 1
Received: 4 September 2024
Commenter:
Commenter's Conflict of Interests: one of the authors
Comment: It this version it was shown that:
a) the equivalence principle is satisfied in the Alena Tensor description and that the force associated with gravity act against gravity and appears in the system as a result of any motion other than free fall
b) how to use the known GR metrics (static cases) to analyze gravity in flat spacetime, how to calculate the velocity of free fall and the force that a stationary observer must input above the source of gravity
c) a general, dynamical solution for a system with gravity exists and this is a quantum description
d) below the event horizon the system is described by some wave function.
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