Research PaperNo Access

Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India

Institute of Natural Philosophy, Varanasi 221005, India

https://doi.org/10.1142/S0217732324501396Cited by:0 (Source: Crossref)

Abstract

The proposition that photon is a topological object [S. C. Tiwari, J. Math. Phys. 49, 032303 (2008)] is given rigorous foundation based on pure vector field theory independent of the electromagnetic fields. Holomorphy of 4-dimensional spacetime and the nature of topological obstructions are investigated to articulate singular vortex model for photon. The utility of the Euclidean symmetry group is discussed in detail for the proposed photon model.

Keywords:

PACS: 03.65.Vf, 14.70.Bh

References

1. A. Pais , Einstein on particles, fields, and the quantum theory, Some Strangeness in the Proportion, ed. H. Woolf ( Addison-Wesley, 1980), pp. 197–251. Google Scholar
2. W. E. Lamb, Jr. , Appl. Phys. B 66, 77 (1995). Crossref, Web of Science, ADS, Google Scholar
3. L. Mandel and E. Wolf , Optical Coherence and Quantum Optics ( Cambridge Univ. Press, 1995). Crossref, Google Scholar
4. S. C. Tiwari , J. Mod. Opt. 46, 1721 (1999). Crossref, Web of Science, ADS, Google Scholar
5. S. C. Tiwari , J. Opt. B: Quantum Semiclassical Opt. 4, S39 (2002). Crossref, ADS, Google Scholar
6. S. C. Tiwari , J. Math. Phys. 49, 032303 (2008). Crossref, Web of Science, Google Scholar
7. J. R. Oppenheimer , Phys. Rev. 38, 725 (1931). Crossref, ADS, Google Scholar
8. N. Salingaros , J. Math. Phys. 22, 1919 (1981). Crossref, Web of Science, ADS, Google Scholar
9. D. Han, Y. S. Kim and D. Son , Phys. Rev. D 25, 461 (1982). Crossref, Web of Science, ADS, Google Scholar
10. R. H. Good, Jr. , Phys. Rev. 105, 1914 (1957). Crossref, Web of Science, ADS, Google Scholar
11. E. J. Post , Quantum Reprogramming ( Kluwer, 1995). Crossref, Google Scholar
12. J. F. Nye , Proc. R. Soc. Lond. A 387, 105 (1983). Crossref, Web of Science, ADS, Google Scholar
13. M. Jammer , The Philosophy of Quantum Mechanics ( Wiley, 1974). Google Scholar
14. L. de Broglie , A new interpretation concerning the coexistence of waves and particles, in Perspectives in Quantum Theory, eds. W. Yourgrau and A. van der Merwe ( MIT Press, 1971), pp. 5–16. Google Scholar
15. E. Whittaker , A History of the Theories of Aether and Electricity ( Thomas Nelson, 1951). Google Scholar
16. M. S. Soskin and M. V. Vasnetsov , Singular optics, in Progress in Optics, Vol. 42, ed. E. Wolf ( Elsevier, North Holland, 2001), Chap. 4, p. 219. Google Scholar
17. R. Kiehn, Private communication; reprinted in S. C. Tiwari, The Learning Mind: Digital Revolution or Thought Revolution? E-book 11753, https://www.pothi.com. Google Scholar
18. E. P. Wigner , Ann. Math. 40, 149 (1939). Crossref, ADS, Google Scholar
19. Y. S. Kim and E. P. Wigner , J. Math. Phys. 28, 1175 (1987). Crossref, Web of Science, ADS, Google Scholar
20. D. Han and Y. S. Kim , Am. J. Phys. 49, 148 (1981). Web of Science, Google Scholar
21. S. Weinberg , Phys. Rev. 135, B1049 (1964). Crossref, Web of Science, ADS, Google Scholar
22. R. M. Kiehn , J. Math. Phys. 18, 614 (1977). Crossref, Web of Science, ADS, Google Scholar
23. C. Martin , Lett. Math. Phys. 1, 155 (1976). Crossref, Web of Science, ADS, Google Scholar
24. S. C. Tiwari , Quantum Stud.: Math. Found. 5, 279 (2018). Crossref, Google Scholar
25. S. C. Tiwari , Mod. Phys. Lett. A 38, 2350095 (2023). Link, Web of Science, ADS, Google Scholar
26. Y. Aharonov and D. Bohm , Phys. Rev. 115, 485 (1959). Crossref, Web of Science, ADS, Google Scholar
27. R. P. Feynman , Prog. in Low Temp. Phys. 1, 17 (1955). Crossref, Google Scholar
28. B. Damski , Phys. Rev. D 104, 085003 (2021). Crossref, Web of Science, Google Scholar
29. E. Leader , Phys. Rev. D 105, 036005 (2022). Crossref, Web of Science, ADS, Google Scholar
30. M. Wakamatsu and A. Hayashi , Eur. Phys. J. A 58, 121 (2022). Crossref, Web of Science, ADS, Google Scholar
31. R. Penrose , J. Math. Phys. 10, 38 (1969). Crossref, Web of Science, ADS, Google Scholar
32. U. Eichmann et al., Phys. Rev. Lett. 70, 2359 (1993). Crossref, Web of Science, ADS, Google Scholar