Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access March 28, 2013

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

  • Kostadin Trenčevski EMAIL logo
From the journal Open Physics

Abstract

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.

[1] C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge Univ. Press, New York, 1993) http://dx.doi.org/10.1017/CBO978051156424610.1017/CBO9780511564246Search in Google Scholar

[2] K. Trencevski, E. G. Celakoska, Cent. Eur. J. Phys. 9, 654 (2011) http://dx.doi.org/10.2478/s11534-010-0102-010.2478/s11534-010-0102-0Search in Google Scholar

[3] C. W. F. Everitt et al., Phys. Rev. Lett. 106, 221101 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.22110110.1103/PhysRevLett.106.221101Search in Google Scholar

[4] K. Trencevski, E. G. Celakoska, V. Balan, Int. J. Theor. Phys. 50, 1 (2011) http://dx.doi.org/10.1007/s10773-010-0488-x10.1007/s10773-010-0488-xSearch in Google Scholar

[5] K. Trencevski, Tensor 53, 70 (1993) Search in Google Scholar

[6] K. Trencevski, Tensor 72, 32 (2010) 10.1111/j.1467-9639.2010.00441.xSearch in Google Scholar

[7] K. Trencevski, Kragujevac Journal of Mathematics 35, 327 (2011) Search in Google Scholar

[8] K. Trencevski, Mathematica Balkanica 25, 193 (2011) Search in Google Scholar

[9] A. P. Yefremov, Acta Phys. Hung. N.S.-H. 11, 147 (2000) 10.1080/10226486.2000.12016659Search in Google Scholar

[10] D. G. Pavlov, In: D. G. Pavlov, G. Atanasiu, V. Balan (Eds.), Space-Time Structure. Algebra and Geometry (Russian Hypercomplex Society, Moscow, 2007) 32 Search in Google Scholar

[11] V. S. Barashenkov, Turkish Journal of Physics 23, 831 (1999) Search in Google Scholar

[12] V. S. Barashenkov, Particles and Nuclei 2, 54 (2004) Search in Google Scholar

[13] V. S. Barashenkov, M. Z. Yuriev, Particles and Nuclei 6, 388 (2002) Search in Google Scholar

[14] E. A. B. Cole, J. Phys. A-Math. Gen. 13, 109 (1980) http://dx.doi.org/10.1088/0305-4470/13/1/01210.1088/0305-4470/13/1/012Search in Google Scholar

[15] A. J. R. Franco, Electronic Journal of Theoretical Physics 9, 35 (2006) Search in Google Scholar

[16] H. Kitada, Nuovo Ciment. B 109, 281 (1994) http://dx.doi.org/10.1007/BF0272729010.1007/BF02727290Search in Google Scholar

[17] J. Strnad, J. Phys. A-Math. Gen. 14, 433 (1981) http://dx.doi.org/10.1088/0305-4470/14/11/00310.1088/0305-4470/14/11/003Search in Google Scholar

[18] J. Strnad, Phys. Lett. A 96, 371 (1983) http://dx.doi.org/10.1016/0375-9601(83)90339-010.1016/0375-9601(83)90339-0Search in Google Scholar

Published Online: 2013-3-28
Published in Print: 2013-3-1

© 2013 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Downloaded on 28.3.2024 from https://www.degruyter.com/document/doi/10.2478/s11534-012-0167-z/html
Scroll to top button