Abstract
What is the quantum system? Consider the wave-function of the electron—what we call “single particle wave-function”—and assume that it contains N wave-packets. If we pass all the wave-packets through an electric field, all are deflected, as if each one of them contains an electron. However, if we bring any two wave-packets to travel close to one another, they don’t repel one another, as if at least one of them contains no charge. In trying to solve the measurement problem of the quantum mechanics (QM), different interpretations were proposed, each one coming with a particular ontology. However, only one interpretation paid explicit attention to the contradiction mentioned above. This interpretation was proposed by S. Gao who named it “random discontinuous motion” (RDM), because it assumes the existence of a particle that jumps from place to place at random. The particle carries all the physical properties of the respective type of particle, mass, charge, magnetic momentum, etc. It jumps under the control of an “instantaneous condition” about which Gao did not give details so far. Along with presenting problems of the QM that this interpretation solves, this text reveals difficulties vis-a-vis entanglements and the special relativity.
Highlights
In trying to solve the measurement problem of the quantum mechanics (QM), different interpretations were proposed, each one coming with a particular ontology
The most advanced form of this proposal—the CSL model of collapse—is examined in detail in [13]. These interpretations are discussed in [14], where it is explained that each one of [1] [2] thru [7] [8] introduced a change in the QM formalism, and this change leads to predictions which disagree with the QM
The random discontinuous motion” (RDM) interpretation was constructed on the ontology of a particle jumping from place to place under the control of an “instantaneous condition”
Summary
Ψ A does not feel the existence of ψ B as if ψ B is empty, and vice-versa Starting from this phenomenon, Gao proposed an interpretation of the QM built on the exclusive ontology of particles. The present article adds arguments in favor of the RDM interpretation, and describes two experiments from which one was already performed, to test them. Note: in this article the expression “quantum particle” is frequently used. It may mean an elementary particle, or an atom or molecule for which the internal structure is ignored. The rest of the article has the following content: section 2 exposes phenomenological constraints which stand at the base of the RDM interpretation.
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