The quantum object is in general considered as displaying both wave and particle nature. By particle is understood an item localized in a very small volume of the space, and which cannot be simultaneously in two disjoint regions of the space. By wave, to the contrary, is understood a distributed item, occupying in some cases two or more disjoint regions of the space. The quantum formalism did not explain until today the so-called “collapse” of the wave-function, i.e. the shrinking of the wave-function to one small region of the space, when a macroscopic object is encountered. This seems to happen in “which-way” experiments. A very appealing explanation for this behavior is the idea of a particle, localized in some limited part of the wave-function. The present article challenges the concept of particle. It proves in the base of a variant of the Tan, Walls and Collett experiment, that this concept leads to a situation in which the particle has to be simultaneously in two places distant from one another—situation that contradicts the very definition of a particle. Another argument is based on a modified version of the Afshar experiment, showing that the concept of particle is problematic. The concept of particle makes additional difficulties when the wave-function passes through fields. An unexpected possibility to solve these difficulties seems to arise from the cavity quantum electrodynamics studies done recently by S. Savasta and his collaborators. It involves virtual particles. One of these studies is briefly described here. Though, experimental results are needed, so that it is too soon to conclude whether it speaks in favor, or against the concept of particle.
References
[1]
Einstein, A. and Infeld, L. (1938) The Evolution of Physics: The Growth of Ideas from Early Concepts to Relativity and Quanta. Cambridge University Press, Cambridge.
[2]
Bohr, N. (1949) Discussions with Einstein on Epistemological Problems in Atomic Physics. Cambridge University Press.
[3]
Wheeler, J.A. (1978) The “Past” and the “Delayed-Choice” Double-Slit Experiment. In: Marlow, A.R., Ed., Mathematical Foundations of Quantum Theory, Academic Press, Cambridge, MA, 9-48. https://doi.org/10.1016/B978-0-12-473250-6.50006-6
[4]
Walborn, S.P., Terra Cunha, M.O., Pádua, S. and Monken, C.H. (2002) Double-Slit Quantum Eraser. Physical Review A, 65, Article ID: 033818. https://doi.org/10.1103/PhysRevA.65.033818
[5]
Jacques, V., Wu, E., Grosshans, F., Treussart, F., Grangier, P., Aspect, A. and Roch, J.-F. (2007) Experimental Realization of Wheeler’s Delayed-Choice Gedanken Experiment. Science, 315, 966-968. https://doi.org/10.1126/science.1136303
[6]
Ma, X.-S., Kofler, J., Qarry, A., Tetik, N., Scheidl, T., Ursin, R., Ramelow, S., Herbst, T., Ratschbacher, L., Fedrizzi, A., Jennewein, T. and Zeilinger, A. (2013) Quantum Erasure with Causally Disconnected Choice. Proceedings of the National Academy of Sciences of the United States of America, 110, 1221-1226. https://doi.org/10.1073/pnas.1213201110
[7]
Manning, A.G., Khakimov, R.I., Dall, R.G. and Truscott, A.G. (2015) Wheeler’s Delayed-Choice Gedanken Experiment with a Single Atom. Nature Physics, 11, 539-542. https://doi.org/10.1038/nphys3343
[8]
Rab, A.S., Polino, E., Man, Z.-X., An, N.B., Xia, Y.-J., Spagnolo, N., Lo Franco, R. and Sciarrino, F. (2017) Entanglement of Photons in Their Dual Wave-Particle Nature. Nature Communications, 8, 915. https://doi.org/10.1038/s41467-017-01058-6
[9]
Afshar, S.S. (2005) Violation of Bohr’s Complementarity, and Its Implications. Proceedings of SPIE, 5866, 229-244.
[10]
Afshar, S.S. (2006) Violation of Bohr’s Complementarity: One Slit or Both? AIP Conference Proceedings. 810, 294-299.
[11]
Afshar, S.S., Flores, E., McDonald, K.F. and Knoesel, E. (2007) Paradox in Wave-Particle Duality. Foundations of Physics, 37, 295-305. https://doi.org/10.1007/s10701-006-9102-8
[12]
de Broglie, L. (1926) Ondes et mouvements. Gauthier-Villars, Paris.
[13]
de Broglie, L. (1930) An Introduction to the Study of the Wave Mechanics. Translation from French by H. T. Flint. Phillips Press, New York.
[14]
Bohm, D. (1952) A Suggested Interpretation of the Quantum Theory in Terms of “Hidden” Variables. I and II. Physical Review Journals Archive, 85, 166-179+180-193. https://doi.org/10.1103/PhysRev.85.180
[15]
Wechsler, S. (2017) Hardy’s Paradox Made Simple—What We Infer from It? https://www.researchgate.net/publication/318446904_Hardy's_paradox_made_simple_-_what_we_infer_from_it
[16]
Hardy, L. (1992) Quantum Mechanics, Local Realistic Theories, and Lorenz-Invariant Realistic Theories. Physical Review Letters, 68, 2981. https://doi.org/10.1103/PhysRevLett.68.2981
[17]
Wechsler, S. (2018) Are Particles Possessing Rest-Mass, STRICTLY Waves? https://www.researchgate.net/publication/327631110_Are_particles_possessing_rest-mass_STRICTLY_waves
[18]
Bassi, A. and Ghirardi, G.-C. (2003) Dynamical Reduction Models. Physics Reports, 379, 257-426. https://doi.org/10.1016/S0370-1573(03)00103-0
[19]
Ghirardi, G.-C., Rimini, A. and Weber, T. (1986) Unified Dynamics for Microscopic and Macroscopic Systems. Physical Review D, 34, 470. https://doi.org/10.1103/PhysRevD.34.470
[20]
Bedingham, D.J. (2011) Relativistic State Reduction Dynamics. Foundations of Physics, 41, 686-704. https://doi.org/10.1007/s10701-010-9510-7
[21]
Feynman, R.P. and Hibbs, A. (1965) Quantum Mechanics and Path Integrals. Chapter 2, McGraw-Hill, New York. Emended Edition by D. F. Steyer (Publisher) (2005).
[22]
Blood, C. (2008) No Evidence for Particles. http://arxiv.org/pdf/0807.3930
[23]
Hobson, A. (2013) There Are No Particles, There Are Only Fields. American Journal of Physics, 81, 211. https://doi.org/10.1119/1.4789885
[24]
Hegerfeldt, G.C. (1974) Remark on Causality and Particle Localization. Physical Review D, 10, 3320. https://doi.org/10.1103/PhysRevD.10.3320
[25]
Hegerfeldt, G.C. (1998) Instantaneous Spreading and Einstein Causality in Quantum Theory. Annalen der Physik, 7, 716-725. https://doi.org/10.1002/(SICI)1521-3889(199812)7:7/8<716::AID-ANDP716>3.0.CO;2-T
[26]
Malament, D.B. (1996) In Defense of Dogma: Why There Cannot Be a Relativistic QM of (Localizable) Particles. In: Clifton, R., Ed., Perspectives on Quantum Reality, Kluwer Academic Publishers, Dordrecht, 1-10. https://doi.org/10.1007/978-94-015-8656-6_1
[27]
Halvorson, H. and Clifton, R. (2002) No Place for Particles in Relativistic Quantum Theories? Philosophy of Science, 69, 1-28. https://doi.org/10.1086/338939
[28]
Tan, S.M., Walls, D.F. and Colett, M.J. (1991) Nonlocality of a Single Photon. Physical Review Letters, 66, 252. https://doi.org/10.1103/PhysRevLett.66.252
[29]
Garziano, L., Macrì, V., Stassi, R., Di Stefano, O., Nori, F. and Savasta, S. (2016) A Single Photon Can Simultaneously Excite Two or More Atoms. arXiv:[quant-ph] 1601.00886v2
[30]
Croca, J.R. (1987) An Experiment for Detection of Empty Waves. Physics Letters A, 124, 22-26. https://doi.org/10.1016/0375-9601(87)90364-1
[31]
Croca, J.R., Garuccio, A., Lepore, V.L. and Moreira, R.N. (1990) Quantum-Optical Predictions for an Experiment on the de Broglie Waves Detection. Foundations of Physics Letters, 3, 557-564. https://doi.org/10.1007/BF00666024
[32]
Gordon, P.E. (1989) Can Empty Waves Be Detected? Physics Letters A, 138, 359-362. https://doi.org/10.1016/0375-9601(89)90830-X
[33]
Wang, L.J., Zou, X.Y. and Mandel, L. (1991) Experimental Test of the de Broglie Guided-Wave Theory for Photons. Physical Review Letters, 66, 1111. https://doi.org/10.1103/PhysRevLett.66.1111
[34]
Holland, P.R. and Vigier, J.P. (1991) Comment on “Experimental Test of the de Broglie Guided-Wave Theory for Photons”. Physical Review Letters, 67, 402. https://doi.org/10.1103/PhysRevLett.67.402
[35]
Croca, J.R., Garuccio, A., Lepore, V.L. and Moreira, R.N. (1992) Comment on “Experimental Test of the de Broglie Guided-Wave Theory for Photons”. Physical Review Letters, 68, 3813. https://doi.org/10.1103/PhysRevLett.68.3813
[36]
Hardy, L. (1992) On the Existence of Empty Waves in Quantum Theory. Physics Letters A, 167, 11-16. https://doi.org/10.1016/0375-9601(92)90618-V
[37]
Pagonis, C. (1992) Empty Waves: Not Necessarily Effective. Physics Letters A, 169, 219-221. https://doi.org/10.1016/0375-9601(92)90598-G
[38]
Hardy, L. (1992) Reply to “Empty Waves: Not Necessarily Effective”. Physics Letters A, 169, 222-223. https://doi.org/10.1016/0375-9601(92)90599-H
[39]
Żukowski, M. (1993) “On the Existence of Empty Waves in Quantum Theory”: A Comment. Physics Letters A, 175, 257-258. https://doi.org/10.1016/0375-9601(93)90837-P
[40]
Hardy, L. (1993) Reply to Żukowski’s Comment. Physics Letters A, 175, 259-260. https://doi.org/10.1016/0375-9601(93)90838-Q
[41]
Griffiths, R.B. (1993) Empty Waves: A Genuine Effect? Physics Letters A, 178, 17-21. https://doi.org/10.1016/0375-9601(93)90720-K
[42]
Wechsler, S. (2017) Which Proof We Have against Continuous Trajectories for Particles? Journal of Modern Physics, 8, 68-81. https://doi.org/10.4236/jmp.2017.81006