Zeno of Elea Shines a New Light on Quantum Weirdness
- 1 Department of Physics, University of Los Andes, Mérida, Venezuela
Abstract
After a brief reference to the quantum Zeno effect, a quantum Zeno paradox is formulated. Our starting point is the usual version of Time Dependent Perturbation Theory. Although this theory is supposed to account for transitions between stationary states, we are led to conclude that such transitions cannot occur. Paraphrasing Zeno, they are nothing but illusions. Two solutions to the paradox are introduced. The first as a straightforward application of the postulates of Orthodox Quantum Mechanics; the other is derived from a Spontaneous Projection Approach to quantum mechanics previously formulated. Similarities and differences between both solutions are highlighted. A comparison between the two versions of quantum mechanics, supporting their corresponding solutions to the paradox, shines a new light on quantum weirdness. It is shown, in particular, that the solution obtained in the framework of Orthodox Quantum Mechanics is defective.
- Huggett, N. (2010) Zeno’s Paradoxes. In: Zalta, E.N., Ed., The Stanford Encyclopedia of Philosophy (Winter 2010 Edition). Stanford Encyclopedia of Philosophy, Metaphysics Research Lab, Stanford University; 3.3 The Arrow. https://plato.stanford.edu/entries/paradox-zeno
- Misra, B. and Sudarshan, E.C.G. (1977) Journal of Mathematical Physics, 18, 756-763. https://doi.org/10.1063/1.523304
- Teuscher, C. and Hofstadter, D. (2004) Alan Turing: Life and Legacy of a Great Thinker. Springer, p. 54. https://doi.org/10.1007/978-3-662-05642-4
- Bunge, M. and Kálnay, A.J. (1983) Il NuovoCimento, 77B, 1-9. https://doi.org/10.1007/bf02738413
- Bunge, M. and Kálnay, A.J. (1983) Il NuovoCimento, 77B, 10-18. https://doi.org/10.1007/bf02738414
- Maddox, J. (1983) Nature, 306, 111. https://doi.org/10.1038/306111a0
- Itano, W.M., Heinzen, D.J., Bollinger, J.J. and Wineland, D.J. (1990) Physical Review A, 41, 2295-2300. https://doi.org/10.1103/PhysRevA.41.2295
- Itano, W.M. (2009) Journal of Physics: Conference Series, 196, 012018. https://doi.org/10.1088/1742-6596/196/1/012018
- Peres, A. (1993) Quantum Theory: Concepts and Methods. Kluwer Academic Publishers, Dordrecht-Boston-London.
- Bes, D.R. (2004) Quantum Mechanics. Springer-Verlag, Berlin-Heidelberg. https://doi.org/10.1007/978-3-662-05384-3
- Cohen-Tannoudji, C., Diu, B. and Laloë, F. (1977) Quantum Mechanics. John Wiley & Sons, New York-London-Sydney-Toronto.
- Dirac, P.A.M. (1958) The Principles of Quantum Mechanics. Clarendon Press, Oxford.
- Heitler, W. (1984) The Quantum Theory of Radiation. Dover Publications Inc., New York.
- Merzbacher, E. (1961) Quantum Mechanics. John Wiley & Sons, New York.
- Messiah, A. (1965) Mécanique Quantique. Dunod, Paris.
- Burgos, M.E. (2016) Journal of Modern Physics, 7, 1449-1454. https://doi.org/10.4236/jmp.2016.712132
- Bunge, M. (1985) Treatise on Basic Philosophy, Vol. 7, Philosophy of Science & Technology. D. Reidel Publishing Company, Dordrecht-Boston-Lancaster.
- Burgos, M.E. (1998) Foundations of Physics, 28, 1323-1346. https://doi.org/10.1023/A:1018826910348
- Burgos, M.E. (2008) Foundations of Physics, 38, 883-907. https://doi.org/10.1007/s10701-008-9213-5