Preview

Chebyshevskii Sbornik

Advanced search

ASYMMETRY THROUGH THE LOOKING GLASS

https://doi.org/10.22405/2226-8383-2015-16-1-281-290

Abstract

The article introduces the known discrete transformation – a mirror reflection (in other words – mirror transformation) from a new point of view. The mirror symmetry leads to the preservation of P-parity (spatial parity) in physical phenomena. The mirror symmetry has not been questioned – till recently – the reflection in the mirror interchanges the right and the left, in other respects original object and its reflection remain completely identical. In this work we show that this situation is apparent at first glance, but in general does not correspond to reality. In most cases, the real experimental situation is described by the vectors, and in most cases a combination of true vectors (polar vectors) and pseudovectors (axial vectors) takes place. The vectors of these two types behave differently in the mirror, while the overall reflection in the mirror is assymetrical to the initial object. This situation is applied both to a single mirror transformation and to the spatial inversion, which is equivalent to the successive reflection in three mutually perpendicular mirrors. Both of these versions are considered in detail in this paper. The discovery of P-parity nonconservation in 1956 caused a shock in the physical circles. An attempt of introducing the combined CP-parity instead of P-parity was made. It was not successful, as experiment showed CP-parity is not conserved in the decay of kaons. The essence of CP-parity nonconservation (for more than half century) has had no satisfactory conventional solutions. We believe that the given article gives a solution and it is connected with asymmetry of mirror reflection. Furthermore we believe that P-parity nonconservation is possible not only in the physical processes caused by the weak interaction, but also in the processes related to other types of interactions – electromagnetic, strong. Thus, this paper introduces a new aspect of the relationship of space and physical phenomena.

About the Author

M. B. Chelnokov
Московский Государственный технический университет им. Н. Э. Баумана
Russian Federation


References

1. Lee, T. D. & Yang, C. N. 1956, “Proposals to test spatial parity conservation in weak interactions”, The Physical Review, vol. 104, no. 1, pp. 254–258.

2. Wu, C. S., Ambler, E. & Hayward, R. W. 1957, “Experimental test of parity conservation in beta decay”, The Physical Review, vol. 105, pp. 1413-1415.

3. Wigner, E. P. 1970, Symmetries and Reflections, Indiana University Press, Bloomington-London, 319 p.

4. Lee, T. D. & Yang, C. N. 1957, V sbornike: Novie svoystva symmetry elementarnih chastits. [In the collection: New symmetry properties of elementary particles], Mir, Moskva, pp. 13–25. (Russian)

5. Christensen, J. H. & Cronin, J. W. 1964, “Evidence for the 2 pi decay of the K20 Meson”, Phys. Rev. Lett., vol. 13, pp. 138–140.

6. Gibson, W. M. & Pollard, B. R. 1976, Symmetry Principles in Elementary Particle Physics, Cambridge University Press, Cambridge, London, New York, Melbourne, 344 p.

7. Okun, L. B. 1990, Leptoni i Quarki. [Leptons and Quarks], Nauka, Мoskva, 352 p. (Russian)

8. Kane, G. 1987, Modern Elementary Particle Physics, Addison-Wesley Publishing Company, Michigan, 360 p.

9. Chelnokov, М. B. 2010, “On Spin of Fundamental Particles”, Vestnik MGTU. Estestvennye Nauki, no 3 (38), pp.22–34. (Russian)

10. Chelnokov, М. B. 2010, “On Spin Projection of Fundamental Particles and Problem of Non-Conservation of CP-Parity”, Vestnik MGTU. Estestvennye Nauki, no 4 (39), pp.73–85. (Russian)

11. Weyl, G. 1947, Klasicheskye grupi, invarianti i predstavlenya. [Classic groups, invariants and representations], Inostrannay literatura, Mockva, 404 p. (Russian)

12. Weyl, G. 1968, Simmetrya. [Symmetry], Nauka, Moskva, 192 p. (Russian)

13. Bogolyubov, N. N. & Shirkov, D. V. 1980, Kvantovie polya. [Quantum Fields], Nauka, Moskva, 320 p. (Russian)

14. Bogolyubov, N. N. & Shirkov, D. V. 1984, Vvedenie v teoryu kvantovih poley. [Introduction in Theory of Quantum Fields], Nauka, Moskva, 600 p. (Russian)


Review

For citations:


Chelnokov M.B. ASYMMETRY THROUGH THE LOOKING GLASS. Chebyshevskii Sbornik. 2015;16(1):281-290. https://doi.org/10.22405/2226-8383-2015-16-1-281-290

Views: 438


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2226-8383 (Print)