Skip to main content
SpringerLink
Log in

On Formal Models in Investigating Critical Velocities (Illustrated by Lorentz's Transformations)

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A new model is proposed for investigation of relations between the coordinates of an object that moves relative to one coordinate system and is motionless relative to another one. Within the framework of this model, the interpretation of the so-called relativistic consequences of the Lorentz transformation laws differs radically from the well-known one.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. V. A. Fok, Theory of Space, Time, and Gravitation [in Russian], Fizmatgiz, Moscow (1967).

    Google Scholar 

  2. V. V. Korukhov, “Theoretical and methodological aspects of tachyon kinematics,” Humanitarian Sciences in Siberia, No. 1, 25-31 (1994).

  3. S. N. Manida, Lorentz-Fok Transformations: Relativity of Infinity [in Russian], St. Petersburg. State Univ., St. Petersburg (1999).

    Google Scholar 

  4. A. Guts and E. Grinkevich, “Toposes in general theory of relativity,” Internet server, Los Alamos, Paper gr-qc/9610073.

  5. A. Guts, “A Topos-theoretic approach to the foundations of relativity theory,” Soviet Math. Dokl., 43, No. 3, 904-907 (1991).

    Google Scholar 

  6. E. Grinkevich, “Synthetic differential geometry: A way to intuitionistic models of general relativity in toposes,” Internet server, Los Alamos, Paper gr-qc/9608013.

  7. A. Einstein, Zur Electrodynamic der bewegter Körper [Russian translation], in: Sobr. Nauchn. Tr., Vol. 1, Nauka, Moscow (1965).

    Google Scholar 

  8. P. S. Laplace, Exposition du Systè me du Monde [Russian translation], Nauka, Leningrad (1982).

    Google Scholar 

  9. V. Vakarchuk, “Theory of relativity and its creators,” Svit Fizyky, No. 2, 3-15 (2001).

  10. T. J. Pearson, S. C. Unwin, M. H. Cohen, R. C. Walker, et al., “Superluminal expansion of quasar 3C273,” Nature, 290, No. 58051, 365-368 (1981).

    Google Scholar 

  11. V. A. Atsyukovskii, Critical Analysis of the Foundations of the Theory of Relativity [in Russian], Petit, Zhukovskii (1996).

  12. V. F. Kravchenko, V. L. Rvachev, A. N. Shevchenko, and T. I. Sheiko, “The interpretation of certain phenomena observed in deep space by using non-Archimedean calculi,” J. Comm. Techn. Electr., 40(10), 92-109 (1995).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. International Scientific-Educational Center of Information Technologies and Systems, Kiev, Ukraine

    P. V. Vasilik

  2. National Linguistic University, Kiev, Ukraine

    A. I. Provotar

Authors
  1. P. V. Vasilik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Provotar
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vasilik, P.V., Provotar, A.I. On Formal Models in Investigating Critical Velocities (Illustrated by Lorentz's Transformations). Cybernetics and Systems Analysis 38, 485–492 (2002). https://doi.org/10.1023/A:1021145900129

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021145900129

Search

Navigation