Skip to main content
Log in

Logical Reloading. What is it and What is a Profit from it?

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Logical reloading is a replacement of basic statements of a conception by equivalent statements of the same conception. The logical reloading does not change the conception, but it changes the mathematical formalism and changes results of this conception generalization. In the paper two examples of the logical reloading are considered. (1) Generalization of the deterministic particle dynamics on the case of the stochastic particle dynamics. As a result the unified formalism for description of particles of all kinds appears. This formalism admits one to explain freely quantum dynamics in terms of the classical particle dynamics. In particular, one discovers κ-field responsible for pair production. (2) Generalization of the proper Euclidean geometry which contains such space-time geometries, where free particles move stochastically. As a result such a conception of elementary particle dynamics arises, where one can investigate the elementary particles arrangement, but not only systematize elementary particles, ascribing quantum numbers to them. Besides, one succeeds to expand the general relativity on the non-Riemannian space-time geometries.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Rylov, Yu.A.: General Relativity Extended to Non-Riemannian Space-Time Geometry. e-print /0910.3582v7

  2. Rylov, Yu.A.: Induced antigravitation in the extended general relativity. Gravit. Cosmol. 18(2), 107–112 (2012). doi:10.1134/S0202289312020089

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. Rylov, Yu.A.: Spin and wave function as attributes of ideal fluid. J. Math. Phys. 40(1), 256–278 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  4. Rylov, Yu.A.: Uniform Formalism for Description of Dynamic Quantum and Stochastic Systems. e-print/physics/0603237v6

  5. Madelung, E.: Z. Phys 40, 322 (1926)

    Article  ADS  MATH  Google Scholar 

  6. Rylov, Yu.A.: Quantum mechanics as a dynamic construction. Found Phys. 28(2), 245–271 (1998)

    Article  MathSciNet  Google Scholar 

  7. Lin, C.C.: Proceedings of International School of Physics “Enrico Fermi”, Course XXI, Liquid Helium, pp. 93–146. Academic, New York (1963)

  8. Clebsch, A.: J. Reine Angew. Math. 54, 293 (1857)

    Article  MATH  Google Scholar 

  9. Clebsch, A.: J. Reine Angew. Math. 56, 1 (1859)

    Article  MATH  Google Scholar 

  10. Rylov, Yu.A.: Classical Description of Pair Production. e-print /physics/0301020

  11. Glimm, J., Jaffe, A.: Phys. Rev. 176, 1945 (1968)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. Glimm, J., Jaffe, A.: Ann. Math. 91, 362 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  13. Glimm, J., Jaffe, A.: Acta Math. 125, 203 (1970)

    Article  MathSciNet  Google Scholar 

  14. Glimm, J., Jaffe, A.: J. Math. Phys. 13, 1568 (1972)

    Google Scholar 

  15. Rylov, Yu.A.: On connection between the energy-momentum vector and canonical momentum in relativistic mechanics. Teoretischeskaya i Matematischeskaya Fizika 2, 333–337 (1970). (in Russian). Theor. and Math. Phys. (USA), 5, 333 (1970), (trnslated from Russian)

  16. Rylov, Yu.A.: Int. J. Theor. Phys. 6, 181–204 (1972)

    Article  Google Scholar 

  17. Rylov, Yu.A.: Dirac equation in terms of hydrodynamic variables. Advances Appl. Clifford Algebras. 5(1), 1–40 (1995)

    MATH  MathSciNet  Google Scholar 

  18. Rylov, Yu.A.: Statistical ensemble technique in application to description of the electron. Advances Appl. Clifford Algebras 7(S), 216–228 (1997)

    MathSciNet  Google Scholar 

  19. Rylov, Yu.A.: Is the Dirac Particle Composite? e-print /physics/0410045

  20. Rylov, Yu.A.: Is the Dirac particle completely relativistic? e-print /physics/0412032

  21. Vladimirov, Yu.S.: Geometrodynamics, chpt. 8. Moscow, Binom (2005). (in Russian)

  22. Rylov, Yu.A.: Geometry without topology as a new conception of geometry. Int. Jour. Mat. & Mat. Sci. 30(12), 733–760 (2002). see also, e-print/math.MG/0103002

    Article  MATH  MathSciNet  Google Scholar 

  23. Rylov, Yu.A.: Deformation Principle and further Geometrization of Physics. e-print/0704.3003

  24. Rylov, Yu.A.: Non-Euclidean method of the generalized geometry construction and its application to space-time geometry. In: Dillen, F., Van de Woestyne I. (eds.) Pure and Applied Differential Geometry, pp. 238–246. Shaker Verlag, Aachen (2007). See also e-print Math.GM/0702552

  25. Blumenthal, L.M.: Theory and Applications of Distance Geometry. Clarendon Press, Oxford (1953)

    MATH  Google Scholar 

  26. Rylov, Yu.A.: Dynamic equations for tachyon gas. Int. J. Theor. Phys. 52, 133(10), 3683–3695 (2013). doi:10.1007/s10773-013-1674-4

    Article  MATH  MathSciNet  Google Scholar 

  27. Rylov, Yu.A.: Different Conceptions of Euclidean Geometry and their Application to the Space-Time Geometry. e-print /0709.2755v4

  28. Rylov, Yu.A.: Discrimination of Particle Masses in Multivariant Space-Time Geometry. e-print/0712.1335

  29. Rylov, Yu.A.: Discrete space-time geometry and skeleton conception of particle dynamics. Int. J. Theor. Phys. 51(6), 1847–1865 (2012). See also e-print/1110.3399v1

    Article  MATH  MathSciNet  Google Scholar 

  30. Rylov, Yu.A.: Physics geometrization in microcosm: discrete space-time and relativity theory (Review). Hypercomplex Numbers Phys. Geom. 8, 2 (16), 88–117. In Russian. See also e-print /1006.1254v2 (2011)

  31. Bohm, D.: Phys. Rev. 85, 166, 180 (1952)

    Google Scholar 

  32. Rylov, Yu.A.: Quantum Mechanics as a theory of relativistic Brownian motion. Ann. Phys. (Leipzig) 27, 1–11 (1971)

    Article  ADS  Google Scholar 

  33. Rylov, Yu.A.: Quantum mechanics as relativistic statistics. I: the two-particle case. Int. J. Theor. Phys. 8, 65–83

  34. Rylov, Yu.A.: Quantum mechanics as relativistic statistics. II: the case of two interacting particles. Int. J. Theor. Phys. 8, 123–139

  35. Menger, K.: Untersuchen über allgemeine Metrik. Mathematische Annalen 100, 75–113 (1928)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuri A. Rylov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rylov, Y.A. Logical Reloading. What is it and What is a Profit from it?. Int J Theor Phys 53, 2404–2433 (2014). https://doi.org/10.1007/s10773-014-2039-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2039-3

Keywords

Navigation