Journal or Publication Title:

Բյուրականի աստղադիտարանի հաղորդումներ: Երևանի աստղադիտարանի բյուլետեն = Сообщения Бюраканской обсерватории. Бюллетень ереванской Астрономической обсерватории = Contributions from the Burakan observatory. Bulletin of the Erevan astronomical observatory

Date of publication:

2024

Volume:

71

Number:

2

ISSN:

2579-2276

Coverage:

289-306

Abstract:

In the framework of the theory of Master space-Teleparallel Supergravity (gMSp-TSG) (Ter-Kazarian, 2024b), having the gauge translation group in tangent bundle, in present article we address the theory of a general deformation of the flat MSp induced by external force exerted on a particle, subject to certain rules. Our idea is that the universality of gravitation and inertia attribute to the single mechanism of origin from geometry but having a different nature. We have ascribed, therefore, the inertia effects to the geometry itself but as having a nature other than 4D Riemannian space. We consider a general smooth deformation map Ω(ϱ) : M2 → M2 in terms of the world - deformation tensor Ω, the flat MSp, and a general smooth differential 2D-manifold, M2. The Ω is a function of local rate, ϱ(x), of instantaneously change of the velocity of massive test particle under the unbalanced external net force. A general deformation is composed of the two subsequent deformations ◦Ω : M2 → V 2 and ˘Ω : V 2 → M2, where V 2 is the 2D semi-Riemannian space, ◦Ω and ˘Ω are the corresponding world deformation tensors. In the simple case of Ω = ◦Ω , ˘Ωμ ν ≡ δμ ν , we have to write the rate, ϱ, in terms of the Lorentz spinors (θ, ¯θ) referred to M2, and period of superoscillations (τ ). The latter can be defined as a function of proper time (s) induced by the world-deformation tensor Ω(s). In this way we show that the occurrence of the, so-called, absolute and inertial accelerations, and that the inertial force as well, are obviously caused by a general deformation of the flat MSp. Therewith the relative acceleration in 4D Minkowski space, M4, (both magnitude and direction, in Newton’s terminology), to the contrary, has nothing to do with a deformation of M 2 and, thus, it cannot produce the inertia effects. We calculate the relativistic inertial force in Minkowski, semi-Riemannian and post Riemannian spaces. This furnishes a justification for the introduction of the Weak Principle of Equivalence (WPE). We discuss the inertia effects beyond the hypothesis of locality with special emphasis on deformation M2 −→ V (ϱ) 2 , which essentially improves the standard framework. Whereas we derive the tetrad fields as a function of ϱ, describing corresponding fictitious graviton. The fictitious gravitino will be arisen under infinitesimal transformations of local supersymmetry.

Format:

pdf

Identifier:

click here to follow the link ; oai:arar.sci.am:380841

General note:

Communications of the Byurakan Astrophysical Observatory (ComBAO) is a peer-reviewed scientific journal, which publishes research in observational and theoretical astronomy/astrophysics and presents recent advances in these fields. It is being published by the NAS RA V. Ambartsumian Byurakan Astrophysical Observatory (BAO) in English in electronic form. The journal publishes original papers, review papers, brief reports, book reviews, special communications, observational and theoretical results in various fields of astronomy and related sciences, and some editorial notes, including anniversaries and obituaries. Under the heading “Legacy”, the renewed magazine will republish some old articles of high value in English. The heading “Guest articles” will bring to the attention of readers the articles of researchers who are not employees of BAO. ComBAO was founded in 1946 and regularly published in 1946-1990. However, the publication was interrupted because of the economic situation after the disintegration of the Soviet Union in 1991.

Location of original object:

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