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On a Common Misconception Regarding the de Broglie-Bohm Theory
1School for Mathematics and Natural Sciences, University of Wuppertal, Gaußstr. 20, 42119 Wuppertal, Germany.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
The de Broglie-Bohm theory does not use momenta as hidden variables, contrary to common belief. This clarification highlights the theory's actual innovative aspects within quantum mechanics.
Area of Science:
- Quantum Mechanics
- Foundational Physics
Background:
- The de Broglie-Bohm (dBB) theory is a non-relativistic interpretation of quantum mechanics.
- A common misconception posits that dBB theory includes momenta as hidden variables.
Purpose of the Study:
- To address and correct the misconception about momenta in dBB theory.
- To clarify the unique contributions and novelty of the dBB theory.
Main Methods:
- Conceptual analysis of the de Broglie-Bohm theory's formulation.
- Comparison of dBB theory with standard quantum mechanics regarding variable assignments.
Main Results:
- The de Broglie-Bohm theory assigns definite positions to quantum objects, not momenta, as hidden variables.
- The misconception regarding momenta is unfounded and obscures the theory's true novelty.
Conclusions:
- The claim that dBB theory uses momenta as hidden variables is incorrect.
- Correcting this misconception reveals the genuine innovative nature of the de Broglie-Bohm theory in quantum foundations.
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