On the geometry of the space-time and motion of the spinning bodies

• Authors: Kostadin Trenčevski
• Languages of publication: EN

Abstracts

EN

In this paper an alternative theory about space-time is given. First some preliminaries about 3-dimensional time and the reasons for its introduction are presented. Alongside the 3-dimensional space (S) the 3-dimensional space of spatial rotations (SR) is considered independently from the 3-dimensional space. Then it is given a model of the universe, based on the Lie groups of real and complex orthogonal 3 × 3 matrices in this 3+3+3-dimensional space. Special attention is dedicated for introduction and study of the space S × SR, which appears to be isomorphic to SO(3,ℝ) × SO(3,ℝ) or S
3 × S
3. The influence of the gravitational acceleration to the spinning bodies is considered. Some important applications of these results about spinning bodies are given, which naturally lead to violation of Newton’s third law in its classical formulation. The precession of the spinning axis is also considered.

Keywords

EN

space-time; torsion; spinning body; precession

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 3
• Pages: 296-316

Dates

published

1 - 3 - 2013

online

28 - 3 - 2013

Contributors

author

Kostadin Trenčevski

• Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University, P.O.Box 162, Skopje, Macedonia

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Identifiers

DOI

10.2478/s11534-012-0167-z