Bohmian Mechanics and Quantum Information

Many recent results suggest that quantum theory is about information, and that quantum theory is best understood as arising from principles concerning information and information processing. At the same time, by far the simplest version of quantum mechanics, Bohmian mechanics, is concerned, not with information but with the behavior of an objective microscopic reality given by particles and their positions. What I would like to do here is to examine whether, and to what extent, the importance of information, observation, and the like in quantum theory can be understood from a Bohmian perspective. I would like to explore the hypothesis that the idea that information plays a special role in physics naturally emerges in a Bohmian universe.

[1]  H. Jehle,et al.  Albert Einstein: Philosopher-Scientist. , 1951 .

[2]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[3]  Jacques E. Romain,et al.  Gravitation: An Introduction to Current Research , 1963 .

[4]  B. Hiley The Undivided Universe , 1993 .

[5]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[6]  M. Eger REPLY TO CRITICISMS , 1988 .

[7]  On the Uniqueness of Quantum Equilibrium in Bohmian Mechanics , 2007, 0704.3070.

[8]  Guido Bacciagaluppi,et al.  Quantum Theory at the Crossroads: The proceedings of the 1927 Solvay conference , 2009 .

[9]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[10]  S. Goldstein,et al.  On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory , 2006, The British Journal for the Philosophy of Science.

[11]  Craig Callender,et al.  Physics Meets Philosophy at the Planck Scale , 2001 .

[12]  De Volson Wood,et al.  Reply to "Criticisms" , 1881 .

[13]  A. Messiah Quantum Mechanics , 1961 .

[14]  S. Goldstein,et al.  A microscopic derivation of the quantum mechanical formal scattering cross section , 2005 .

[15]  T. Broadbent,et al.  Criticism and the Growth of Knowledge , 1972 .

[16]  G. Grimaldi,et al.  Il nuovo cimento , 1889 .

[17]  D. Dürr,et al.  Quantum equilibrium and the origin of absolute uncertainty , 1992, quant-ph/0308039.

[18]  R. Arnowitt,et al.  Republication of: The dynamics of general relativity , 2004 .

[19]  Sheldon Goldstein,et al.  Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory , 2003, quant-ph/0308038.

[20]  P. Morse Annals of Physics , 1957, Nature.

[21]  P. Frank,et al.  Boston Studies in the Philosophy of Science , 1968 .

[22]  Sheldon Goldstein,et al.  Bohmian Mechanics and the Meaning of the Wave Function , 1995 .

[23]  D. Bohm A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II , 1952 .

[24]  Basil J. Hiley,et al.  Quantum interference and the quantum potential , 1979 .

[25]  D. Griffiths,et al.  Introduction to Quantum Mechanics , 1960 .

[26]  I. Lakatos Falsification and the Methodology of Scientific Research Programmes , 1976 .

[27]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[28]  Gregor Weihs,et al.  Quantum mechanics: The truth about reality , 2007, Nature.

[29]  Seven steps towards the classical world , 2001, quant-ph/0112005.