On the impossible pilot wave

  title={On the impossible pilot wave},
  author={J. Bell},
  journal={Foundations of Physics},
  • J. Bell
  • Published 1982
  • Mathematics
  • Foundations of Physics
The strange story of the von Neumann impossibility proof is recalled, and the even stranger story of later impossibility proofs, and how the impossible was done by de Broglie and Bohm. Morals are drawn. 
Schrödinger’s Paradox and Nonlocality
In the previous chapter, we reviewed the Einstein–Podolsky–Rosen paradox and Bell’s Theorem. EPR is a very powerful result, and when its logical content is distilled, this famous analysis leads to aExpand
History of Quantum Mechanics or the Comedy of Errors
The goal of this paper is to explain how the views of Albert Einstein, John Bell and others, about nonlocality and the conceptual issues raised by quantum mechanics, have been rather systematicallyExpand
The Einstein–Podolsky–Rosen Paradox, Bell’s Theorem and Nonlocality
In this chapter we turn to the paradox of Einstein, Podolsky and Rosen, and Bell’s Theorem.
Breaking the Unbreakable : Exploiting Loopholes in Bell’s Theorem to Hack Quantum Cryptography
In this thesis we study device-independent quantum key distribution based on energy-time entanglement. This is a method for cryptography that promises not only perfect secrecy, but also to be a praExpand
From EPR, Schr\"odinger paradox to nonlocality based on perfect correlation.
We give a conceptually simple proof of nonlocality using only the perfect correlations between results of measurements on distant systems discussed by Einstein, Podolsky and Rosen---correlations thatExpand
How to teach quantum mechanics
In the spirit and style of John S Bell's well-known paper on How to teach special relativity [1] it is argued that a 'Bohmian pedagogy' provides a very useful tool to illustrate the relation betweenExpand
Quantum distributed consensus
Distributed consensus can be achieved on asynchronous communication networks when assisted by quantum mechanics. This contradicts the FLP impossibility result by achieving consensus in the presenceExpand
Von Neumann's Impossibility Proof: Mathematics in the Service of Rhetorics
According to what has become a standard history of quantum mechanics, in 1932 von Neumann persuaded the physics community that hidden variables are impossible as a matter of principle, after whichExpand
On the Unconditional Validity of J. von Neumann's Proof of the Impossibility of Hidden Variables in Quantum Mechanics
The impossibility of theories with hidden variables as an alternative and replacement for quantum mechanics was discussed by J. von Neumann in 1932. His proof was criticized as being logicallyExpand
Time and Events
Time plays a special role in Standard QuantumTheory. The concept of time observable causes manycontroversies there. In Event-Enhanced Quantum Theory(EEQT) Schrodinger's differential equation isExpand


On the Problem of Hidden Variables in Quantum Mechanics
The demonstrations of von Neumann and others, that quantum mechanics does not permit a hidden variable interpretation, are reconsidered. It is shown that their essential axioms are unreasonable. ItExpand
Algebraic constraints on hidden variables
In the contemporary discussion of hidden variable interpretations of quantum mechanics, much attention has been paid to the “no hidden variable” proof contained in an important paper of Kochen andExpand
What Does a Proof Do if it Does Not Prove
One of the more interesting problems to arise from the Kuhnian (1) analysis of science is the problem of communication between scientists with differing cognitive commitments. By conceiving ofExpand
When can hidden variables be excluded in quantum mechanics?
SummaryThe problem of hidden variables is examined in the axiomatic formulation of quantum mechanics based on the algebra of observables. After a brief introductory survey of the earlierExpand
The reinterpretation of wave mechanics
The author begins by recalling how he was led in 1923–24 to the ideas of wave mechanics in generalizing the ideas of Einstein's theory of light quanta. He made himself at that time a concreteExpand
Bell's theorem. Experimental tests and implications
Bell's theorem represents a significant advance in understanding the conceptual foundations of quantum mechanics. The theorem shows that essentially all local theories of natural phenomena that areExpand
Albert Einstein: Philosopher-Scientist
Written by the man considered the "Person of the Century" by Time magazine, this is not a glimpse into Einstein's personal life, but an extension and elaboration into his thinking on science. Two ofExpand
Atomic Physics Tests of the Basic Concepts in Quantum Mechanics
Publisher Summary Quantum mechanics is the theory used to describe microscopic systems such as atoms, molecules, and elementary particles. It grew early in this century from a synthesis of Planck'sExpand
A quantum potential description of one-dimensional time-dependent scattering from square barriers and square wells
The time-dependent scattering of one-dimensional Gaussian wave packets of various energies incident on(1) a square potential barrier and(2) a square well is examined numerically, using the quantumExpand