Abstract
The wave superposition is one of the most precious foundations of physics. It has been the physical principle of interference and diffraction of waves for nearly two centuries, and an accurate predictive instrument of the behavior of quantum systems over the past 100 years. However, it cannot explain the interference of waves and particles in a generalized way mainly due to the different interpretation of the wave function in each context. Given that phenomena of the same type should obey to the same principle or be the consequence of the same causes, this restriction of the wave superposition constitutes a current problem in the very foundations of physics. A new physical principle is introduced to address this problem. It provides the same explanation for wave and particle interference, but maintaining the predictive accuracy of the wave superposition. Its validity is based on the analysis of experimental results reported by other authors. This principle is completely new and leads to a non-standardized formulation of interference, which should open new avenues of discussion on this fundamental topic of physics. © 2017. Acad. Colomb. Cienc. Ex. Fis. Nat.References
Arndt, M., Nairz, O., Vos-Andreae, J., Keller, C., van der Zouw, G., and Zeilinger, A. (1999). Wave-particle duality of C60 Molecules. Nature. 401: 680-682.
Bach, R., Pope, D., Liou, S.H., Batelaan, H. (2013). Controlled double–slit electron diffraction. New J. Phys. 15: 033018 (7pp).
Born, M., and Wolf, E. (1993). Principles of Optics (6th ed. Pergamon Press: Oxford). p. 836.
Castañeda, R. (2014). Electromagnetic wave fields in the microdiffraction domain. Phys. Rev. 89: 013843 (14pp).
Castañeda, R., Matteucci, G., Capelli, R. (2016). Quantum Interference without Wave–Particle Duality. J. Mod. Phys. 7: 375-389.
Castañeda, R., Matteucci, G., Capelli, R. (2016). Interference of Light and of Material Particles: A Departure from the Superposition Principle. Hawkes, P.H. editor, Advances in Imaging and Electron Physics, Vol. 197, Burlington:Academic Press, p. 1-43.
Castañeda, R., Muñoz, H. (2016). Spectrum of classes of point emitters: New tool for nonparaxial optical field modeling. J. Opt. Soc. Am. 33: 1421-1429.
Castañeda, R. (2017). Interaction description of light propagation. J. Opt. Soc. Am. 34: 1035-1044.
Castañeda, R. (2017). Discreteness of the real point emitters as a physical condition for diffraction. J. Opt. Soc. Am. 34:184-192.
Feynman, R. P., Leighton R.B., and Sands, M. (1965). The Feynman Lectures on Physics vol 3. Addison-Wesley:Menlo Park, CA.
Feynman, R. P., Hibbs, A. R. (1965). Quantum Mechanics and Path Integrals. McGraw-Hill: New York. p. 365.
Frabboni, S., Gabrielli, A., Gazzadi, G.C., Giorgi, F., Matteucci, G., Pozzi, G., Cesari, N.S., Villa, M., Zoccoli, A. (2012). The Young-Feynman two-slit experiment with single electrons: Build up of the interference pattern and arrival–time distribution using a fast–readout pixel detector. Ultramicroscopy. 116: 73-76.
Gaskill, J. (1978). Linear systems, Fourier transforms and Optics. John Wiley & Sons: New York. p. 554.
Juffmann, T., Truppe, S., Geyer, P., Major, A.G., Deachapunya, S., Ulbricht, H., Arndt, M. (2009). Wave and particle in molecular interference lithography. Phys. Rev. Lett. 103:263601-1 -263601-4.
Juffmann, T., Milic, A., Muellneritsch, M., Asenbaum, P., Tsukernik, A., Tuexen, J., Mayor, M., Cheshnovsky, O., Arndt, M. (2012). Real–time single–molecule imaging of quantum interference. Nature Nanotech. 7: 297-300.
Mandel, L., Wolf, E. (1995). Optical Coherence and Quantum Optics. Cambridge University Press: Cambridge. p. 1166. Matteucci, G., Pezzi, M., Pozzi, G., Alberghi, G., Giorgi, F., Gabrielli, A., Semprini, N., Villa, M., Zoccoli, A., Frabboni, S., Gazzadi, G. (2013). Build–up of interference patterns with single electrons. Eur. J. of Phys. 34: 511-517.
Nairz, O., Arndt, M., Zeilinger, A. (2003). Quantum interference experiments with large molecules. Am. J. Phys. 71: 319-325.
Newton, I. (1687). Principios matemáticos de la Filosofía natural [Philosophiae Naturalis Principia Mathematica]. Ediciones Altaya, S.A. Grandes Obras del Pensamiento, 21 (1993): Barcelona, p. 621.
Zeilinger, A., Gaehler, R., Shull, C.G., Treimer, W., Mampe, W. (1988). Single and double-slit diffraction of neutrons. Rev. Mod. Phys. 60:1067-73.
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