Reality and the Role of the Wavefunction in Quantum Theory

The most puzzling issue in the foundations of quantum mechanics is perhaps that of the status of the wave function of a system in a quantum universe. Is the wave function objective or subjective? Does it represent the physical state of the system or merely our information about the system? And if the former, does it provide a complete description of the system or only a partial description? We shall address these questions here mainly from a Bohmian perspective, and shall argue that part of the difficulty in ascertaining the status of the wave function in quantum mechanics arises from the fact that there are two different sorts of wave functions involved. The most fundamental wave function is that of the universe. From it, together with the configuration of the universe, one can define the wave function of a subsystem. We argue that the fundamental wave function, the wave function of the universe, has a law-like character.

[1]  Quantum Spacetime without Observers: Ontological Clarity and the Conceptual Foundations of Quantum Gravity ∗ , 1999, quant-ph/9902018.

[2]  Roderich Tumulka,et al.  Topological Factors Derived from Bohmian Mechanics , 2006, quant-ph/0601076.

[3]  D. Minic,et al.  What is Quantum Theory of Gravity , 2004, hep-th/0401028.

[4]  Paul Adrien Maurice Dirac,et al.  Lectures on Quantum Mechanics , 2001 .

[5]  Pearle,et al.  Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[6]  S. Goldstein,et al.  Hypersurface Bohm-Dirac models , 1999 .

[7]  Roderich Tumulka,et al.  What Is Bohmian Mechanics , 2001, Compendium of Quantum Physics.

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

[9]  Peter G. Bergmann,et al.  Principles of Relativity Physics , 1967 .

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

[11]  David Wallace,et al.  Everett and structure , 2001 .

[12]  J. Bell On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

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

[14]  Sheldon Goldstein,et al.  Quantum Theory Without Observers , 2007 .

[15]  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.

[16]  D. Albert Elementary Quantum Metaphysics , 1996 .

[17]  H. Everett "Relative State" Formulation of Quantum Mechanics , 1957 .

[18]  James B. Hartle,et al.  Wave Function of the Universe , 1983 .

[19]  B. Dewitt Quantum Theory of Gravity. I. The Canonical Theory , 1967 .

[20]  Weber,et al.  Unified dynamics for microscopic and macroscopic systems. , 1986, Physical review. D, Particles and fields.

[21]  Eric Winsberg,et al.  Studies in History and Philosophy of Modern Physics , 2010 .

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

[23]  T. Norsen The Theory of (Exclusively) Local Beables , 2009, 0909.4553.

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