Gao, Shan (2010) *Meaning of the wave function.* [Preprint]

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## Abstract

We investigate the meaning of the wave function by analyzing the mass and charge density distributions of a quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a description of either a physical field or the ergodic motion of a particle. If the wave function is a physical field, then the mass and charge density will be distributed in space simultaneously for a charged quantum system, and thus there will exist gravitational and electrostatic self-interactions of its wave function. This not only violates the superposition principle of quantum mechanics but also contradicts experimental observations. Thus the wave function cannot be a description of a physical field but be a description of the ergodic motion of a particle. For the later there is only a localized particle with mass and charge at every instant, and thus there will not exist any self-interaction for the wave function. It is further argued that the classical ergodic models, which assume continuous motion of particles, cannot be consistent with quantum mechanics. Based on the negative result, we suggest that the wave function is a description of the quantum motion of particles, which is random and discontinuous in nature. On this interpretation, the square of the absolute value of the wave function not only gives the probability of the particle being found in certain locations, but also gives the probability of the particle being there. We show that this new interpretation of the wave function provides a natural realistic alternative to the orthodox interpretation, and its implications for other realistic interpretations of quantum mechanics are also briefly discussed.

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Item Type: | Preprint |
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Keywords: | wave function; mass and charge density; protective measurement; field; ergodic motion of particles; continuous motion; random discontinuous motion |

Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics |

Depositing User: | Mr. Shan Gao |

Date Deposited: | 09 Dec 2010 07:28 |

Last Modified: | 09 Dec 2010 07:28 |

Item ID: | 8417 |

URI: | http://philsci-archive.pitt.edu/id/eprint/8417 |

### Available Versions of this Item

- Meaning of the wave function. (deposited 18 Oct 2010 07:21)
- Meaning of the wave function. (deposited 09 Dec 2010 07:28)
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- Meaning of the wave function. (deposited 09 Dec 2010 07:28)

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