# On a Common Misconception Regarding the de Broglie–Bohm Theory

## Abstract

**:**

## 1. Introduction

“In particular, Bohm enriched standard non-relativistic quantum mechanics with a classical position coordinate and the corresponding momentum [...].”

## 2. A (Very) Brief Introduction to the dBB Theory

## 3. The Asymmetry between Position and Momentum

“The vanishing of the velocity contradicts the well-founded requirement, that in the case of a macro-system the motion should agree approximately with the motion following from classical mechanics.”

“But this result contradicts the fact that in quantum mechanics the velocity or momentum distribution for stationary solutions, given by the absolute square of the Fourier transform of $\psi $ in coordinate space, is not a delta function at $\overrightarrow{v}=0$, as is implied by Bohm’s interpretation.” (p. 44)

## 4. Contextuality of All Observables Other than Position

“[...] this interpretation is not only inconsistent with the standard formulation of quantum mechanics, but also with classical mechanics, where momentum is defined by the relation $\overrightarrow{p}=m\overrightarrow{v}$.” (p. 45)

“We thus believe that contextuality reflects little more than the rather obvious observation that the result of an experiment should depend upon how it is performed!”

## 5. Summary

## Funding

## Acknowledgments

## Conflicts of Interest

## References

- Bohm, D. A Suggested Interpretation of the Quantum Theory in Terms of “Hidden” Variables. Phys. Rev.
**1952**, 85, 166–193. [Google Scholar] [CrossRef] - Bell, J. De Broglie–Bohm, Delayed-Choice Double-Slit Experiment, and Density Matrix. Int. J. Quantum Chem.
**1980**, 14, 155–159. [Google Scholar] [CrossRef] - Bunge, M. Twenty-Five Centuries of Quantum Physics: From Pythagoras to Us, and from Subjectivism to Realism. Sci. Educ.
**2003**, 12, 445–466. [Google Scholar] [CrossRef] - Nauenberg, M. Is Bohm’s Interpretation Consistent with Quantum Mechanics? Quanta
**2014**, 3, 43–46. [Google Scholar] [CrossRef] - Dürr, D.; Teufel, S. Bohmian Mechanics: The Physics and Mathematics of Quantum Theory; Springer: Berlin/Heidelberg, Germany, 2009. [Google Scholar]
- Norsen, T. On the Explanation of Born-Rule Statistics in the de Broglie-Bohm Pilot-Wave Theory. Entropy
**2018**, 20, 422. [Google Scholar] [CrossRef] - Bacciagaluppi, G.; Valentini, A. Quantum Theory at the Crossroads Reconsidering the 1927 Solvay Conference; Cambridge University Press: Cambridge, UK, 2009. [Google Scholar]
- Bohm, D.; Hiley, B.J. The Undivided Universe: An Ontological Interpretation of Quantum Theory; Routledge & Kegan Paul: London, UK, 1993. [Google Scholar]
- Holland, P.R. The Quantum Theory of Motion; Cambridge University Press: Cambridge, UK, 1993. [Google Scholar]
- Myrvold, W.C. On some early objections to Bohm’s theory. Int. Stud. Phil. Sci.
**2003**, 17, 7–24. [Google Scholar] [CrossRef] - Einstein, A. Elementare Überlegungen zur Interpretation der Grundlagen der Quanten-Mechanik. In Scientific Papers Presented to Max Born; Oliver and Boyd: Edinburgh, UK, 1953; pp. 33–40. (In German) [Google Scholar]
- Mermin, N.D. Simple unified form for the major no-hidden variables theorems. Phys. Rev. Lett.
**1990**, 65, 3373. [Google Scholar] [CrossRef] [PubMed] - Pagonis, C.; Clifton, R. Unremarkable contextualism: Dispositions in the Bohm theory. Found. Phys.
**1995**, 25, 281–296. [Google Scholar] [CrossRef] - Daumer, M.; Dürr, D.; Goldstein, S.; Zanghí, N. Naive Realism About Operators. Erkenntnis
**1997**, 45, 379–397. [Google Scholar] [CrossRef]

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**MDPI and ACS Style**

Passon, O.
On a Common Misconception Regarding the de Broglie–Bohm Theory. *Entropy* **2018**, *20*, 440.
https://doi.org/10.3390/e20060440

**AMA Style**

Passon O.
On a Common Misconception Regarding the de Broglie–Bohm Theory. *Entropy*. 2018; 20(6):440.
https://doi.org/10.3390/e20060440

**Chicago/Turabian Style**

Passon, Oliver.
2018. "On a Common Misconception Regarding the de Broglie–Bohm Theory" *Entropy* 20, no. 6: 440.
https://doi.org/10.3390/e20060440