Foundations of Science

, Volume 17, Issue 3, pp 223–244 | Cite as

From Permanence to Total Availability: A Quantum Conceptual Upgrade

Article

Abstract

We consider the classical concept of time of permanence and observe that its quantum equivalent is described by a bona fide self-adjoint operator. Its interpretation, by means of the spectral theorem, reveals that we have to abandon not only the idea that quantum entities would be characterizable in terms of spatial trajectories but, more generally, that they would possess the very attribute of spatiality. Consequently, a permanence time shouldn’t be interpreted as a “time” in quantum mechanics, but as a measure of the total availability of a quantum entity in participating to a process of creation of a spatial localization.

Keywords

Time of arrival Time of permanence Time-delay Total availability Total availability shift Creation-discovery view 

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References

  1. Aerts D. (1990) An attempt to imagine parts of the reality of the micro-world. In: J. Mizerski et al. (eds) Problems in quantum physics II; Gdansk ’89. World Scientific Publishing Company, Singapore, pp 3–25Google Scholar
  2. Aerts D. (1998) The entity and modern physics: The creation-discovery view of reality. In: Castellani E. (eds) Interpreting bodies, classical and quantum objects in modern physics. Princeton University Press, Princeton, p 223Google Scholar
  3. Aerts D. (1999) The stuff the world is made of: Physics and reality. In: Aerts D., Broekaert J., Mathijs E. (eds) The white book of ‘Einstein Meets Magritte. Kluwer, Dordrecht, p 129Google Scholar
  4. Allcock G. R. (1969) The time of arrival in quantum mechanics. Annals of Physics 53: 253–285CrossRefGoogle Scholar
  5. Damborenea J. A., Egusquiza I. L., Muga J. G. (2002) Asymptotic behaviour of the probability density in one dimension. American Journal of Physics 70: 738–740CrossRefGoogle Scholar
  6. de Ronde, C. (2005). Complementary descriptions (part I): A set of ideas regarding the interpretation of quantum mechanics. arXiv:quant-ph/0507105.Google Scholar
  7. Hilgevoord J. (2002) Time in quantum mechanics. American Journal of Physics 70: 301–306CrossRefGoogle Scholar
  8. Jaworski W. (1989) The concept of a time-of-sojourn operator and spreading of wave packets. Journal of Mathematical Physics 30: 1505–1514CrossRefGoogle Scholar
  9. Jaworski W., Wardlaw D. (1989) Sojourn time, sojourn time operators, and perturbation theory for one-dimensional scattering by a potential barrier. Physical Review A 40(11): 6210–6218CrossRefGoogle Scholar
  10. Kong Wan K., Fountain R. H., Tao Z. Y. (1995) Observables, maximal symmetric operators and POV measures in quantum mechanics. Journal of Physics A: Mathematical and General 28: 2379–2393CrossRefGoogle Scholar
  11. Lavine R. (1973) Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials. Journal of Functional Analysis 12: 30–45CrossRefGoogle Scholar
  12. Martin Ph. A. (1975) Scattering theory with dissipative interaction and time delay. Il Nuovo Cimento 30B(2): 217–238Google Scholar
  13. Martin Ph. A. (1981) Time delay of quantum scattering processes. Acta Physica Austriaca XXIII(Suppl): 157–208Google Scholar
  14. Martin Ph. A., Sassoli de Bianchi M. (1992) On the theory of Larmor clock and time delay. Journal of Physics A: Mathematical and General 25: 3627–3647CrossRefGoogle Scholar
  15. Narnhofer H. (1980) Another definition for time delay. Physical Review D 22: 2387–2390CrossRefGoogle Scholar
  16. Sassoli de Bianchi, M. (2010). Time-delay of classical and quantum scattering processes: A conceptual overview and a general definition. arXiv:1010.5329 [quant-ph].Google Scholar
  17. Sassoli de Bianchi, M. (2011). Ephemeral properties and the illusion of microscopic particles. arXiv:1008.2450 [physics.gen-ph] (to appear in: Foundations of Science).Google Scholar
  18. Sassoli de Bianchi M., Martin Ph. A. (1992) On the definition of time delay in scattering theory. Helvetica Physica Acta 65: 1119–1126Google Scholar
  19. Werner R. (1986) Screen observables in relativistic and nonrelativistic quantum mechanics. Journal of Mathematical Physics 27(3): 793–803CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Laboratorio di Autoricerca di BaseCaronaSwitzerland

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