Abstract
We observe a Quantum Brownian Motion (QBM) Model Universe in conjunction with recently established Entanglement Relativity and Parallel Occurrence of Decoherence. The Parallel Occurrence of Decoherence establishes the simultaneous occurrence of decoherence for two mutually irreducible structures (decomposition into subsystems) of the total QBM model universe. First we find that Everett world branching for one structure excludes branching for the alternate structure and in order to reconcile this situation branching cannot be allowed for either of the structures considered. Second, we observe the non-existence of a third, “emergent structure”, that could approximate both structures and also be allowed to branch. Ultimately we find unless world-branching requires additional criteria or conditions, or there is a privileged structure, that we provide a valid model that cannot be properly described by the Everett Interpretation of Quantum Mechanics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Auyang, S.: Foundations of Complex-System Theories. Cambridge University Press, Cambridge (1998)
Barvinsky, A.O., Kamenshchik, A.Y.: Preferred basis in quantum theory and the problem of classicalization of the quantum universe. Phys. Rev. D 52, 743–757 (1995)
Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Clarendon Press, Oxford (2002)
Caldeira, A.O., Leggett, A.J.: Influence of damping on quantum interference: an exactly soluble model. Phys. Rev. A 31, 1059–1066 (1985)
Ciancio, E., Giorda, P., Zanardi, P.: Mode transformations and entanglement relativity in bipartite Gaussian states. Phys. Lett. A 354, 274–280 (2006)
De la Torre, A.C., et al.: Entanglement for all quantum states. Eur. J. Phys. 31, 325–332 (2010)
Dugić, M.: What is “system”: the arguments from the decoherence theory (1999). arXiv:quant-ph/9903037v1
Dugić, M., Jeknić, J.: What is “system”: some decoherence-theory arguments. Int. J. Theor. Phys. 45, 2249–2259 (2006)
Dugić, M., Jeknić-Dugić, J.: What is “system”: the information-theoretic arguments. Int. J. Theor. Phys. 47, 805–813 (2008)
Dugić, M., Jeknić-Dugić, J.: Parallel occurrence of decoherence in composite quantum systems. Pramāna 79, 199–211 (2012)
Everett, H.: “Relative state” formulation of quantum mechanics. Rev. Mod. Phys. 29, 454–462 (1957)
Gingrich, R.M., Adami, C.: Quantum entanglement of moving bodies. Phys. Rev. Lett. 89, 270402 (2002)
Giulini, D., Joos, E., Kiefer, C., Kupsch, J., Stamatescu, I.-O., Zeh, H.D.: Decoherence and the Appearance of a Classical World in Quantum Theory. Springer, Berlin (1996)
Halliwell, J.: Emergence of hydrodynamic behaviour. In: Saunders, S., Barrett, J., Kent, A., Wallace, D. (eds.) Many Worlds? Everett, Quantum Theory, and Reality, pp. 99–117. Oxford University Press, Oxford (2010)
Harshman, N.L., Wickramasekara, S.: Galilean and dynamical invariance of entanglement in particle scattering. Phys. Rev. Lett. 98, 080406 (2007)
Jeknić-Dugić, J., Dugić, M.: Multiple system-decomposition method for avoiding quantum decoherence. Chin. Phys. Lett. 25, 371–374 (2008)
Jeknić-Dugić, J., Arsenijević, M., Dugić, M.: Quantum Structures: A View of a Quantum World. Lambert Academic, Saarbrucken (2013). Also available as arXiv:1306.5471 [quant-ph]
Kent, A.: Real world interpretations of quantum theory. Found. Phys. 42, 421–435 (2012)
McWeeney, R.: Methods of Molecular Quantum Mechanics. Academic Press, New York (1978)
Romero, L.D., Paz, J.P.: Decoherence and initial correlations in quantum Brownian motion. Phys. Rev. A 55, 4070–4083 (1997)
Saunders, S.: Many worlds? An introduction. In: Saunders, S., Barrett, J., Kent, A., Wallace, D. (eds.) Many Worlds? Everett, Quantum Theory, and Reality, pp. 1–52. Oxford University Press, Oxford (2010)
Terra Cunha, M.O., Dunningham, J.A., Vedral, V.: Entanglement in single-particle systems. Proc. R. Soc. A 463, 2277–2286 (2007)
Tommasini, P., Timmermans, E., Piza, A.F.R.D.: The hydrogen atom as an entangled electron-proton system. Am. J. Phys. 66, 881–885 (1998)
Valentini, A.: De Broglie-Bohm pilot-wave theory: many worlds in denial? In: Saunders, S., Barrett, J., Kent, A., Wallace, D. (eds.) Many Worlds? Everett, Quantum Theory, and Reality, pp. 476–509. Oxford University Press, Oxford (2010)
von Neumann, J.: Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton (1955)
Wallace, D.: Decoherence and ontology. In: Saunders, S., Barrett, J., Kent, A., Wallace, D. (eds.) Many Worlds? Everett, Quantum Theory, and Reality, pp. 53–72. Oxford University Press, Oxford (2010)
Wallace, D.: The Emergent Multiverse: Quantum Theory According to the Everett Interpretation. Oxford University Press, Oxford (2012)
Zanardi, P.: Virtual quantum subsystems. Phys. Rev. Lett. 87, 077901 (2001)
Acknowledgements
JJD and MD acknowledge financial support from the Ministry of Science Serbia under contract no 171028, and partially to the COST Action MP1006.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jeknić-Dugić, J., Dugić, M. & Francom, A. Quantum Structures of a Model-Universe: An Inconsistency with Everett Interpretation of Quantum Mechanics. Int J Theor Phys 53, 169–180 (2014). https://doi.org/10.1007/s10773-013-1794-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-013-1794-x