ABSTRACT We show that the electron-positron annihilation process resulting with the creation of two gamma photons cannot be fully determined without the conservation of the angular momentum which has two elements, namely, the conservation of the spin angular momentum and the conservation of the quantum flux which work as the conservation of the magnetic moments as well. The conservation of the quantum flux has never been considered so far for any collision process. We show that the missing conservation rule in the above process is the conservation of the total quantum flux which is the hidden variable of that process. By using the quantum entanglement together with the conservation of the quantum flux we show that the initial and the final states of this collision are fully determined. We also show that each of the gamma photons created in the end carries a quantum flux of ±Φ=±hc/e with itself along the propagation direction. Here the (+) and (−) signs correspond to the right hand and left circular helicity, respectively.
Cite this paper
Saglam, M. , Gür, H. and Yilmaz, O. (2018) Explanation of the Hidden Variables in the Electron-Positron Annihilation Process in Terms of the Quantum Entanglement and the Conservation of Flux Quantum. Journal of Modern Physics, 9, 985-996. doi: 10.4236/jmp.2018.95061.
 London, F. (1950) Superfluids. John Wiley and Sons, Hoboken.
 Onsager, L. (1954) Diamagnetism in Metals. Proceeding of the International Conference on Theoretical Physics, Kyoto and Tokyo, September 1953, 669-675. Introductory Talk [on Liquid Helium], 877-880. Science Council of Japan, Tokyo.
 Saglam, M. and Boyacioglu, B. (2002) International Journal of Modern Physics B, 16, 607. https://doi.org/10.1142/S0217979202010038
 Wan, K.K. and Saglam, M. (2006) International Journal of Theoretical Physics, 45, 1132-1151. https://doi.org/10.1007/s10773-006-9118-z
 Wan, K.K. (2006) From Micro to Macro Quantum Quantum Systems: A Unified Tratment with Superselection Rules and Its Applications. Imperial College Press, London. https://doi.org/10.1142/p427
 Yilmaz, O., Saglam, M. and Aydin, Z.Z. (2007) The Journal of the Old and New Concepts in Physics, 4, 141. https://doi.org/10.2478/v10005-007-0007-x
 Levine, I.N. (2000) Quantum Chemistry. Prentice Hall, Upper Saddle River.
 Slater, J.C. (1930) Physical Review, 36, 51. https://doi.org/10.1103/PhysRev.36.57
 Lerda, A. (1992) Anyons. Springer-Verlag Heidelberg.