Abstract

The restoration of philosophical realism as the basis of quantum mechanics is the main aim of the present study. A spontaneous projection approach to quantum theory previously formulated achieved this goal in cases where the Hamiltonian does not depend explicitly on time. After discussing the most relevant flaws of orthodox quantum mechanics, a formulation of the spontaneous projections approach in the general case is introduced. This approach yields experimental predictions which in general coincide with those of the orthodox version and overcomes its main flaws.

Highlights

  • The foundations of quantum mechanics were laid in the period 1900-1926

  • On the one hand spontaneous projection approach (SPA) and orthodox quantum mechanics (OQM) share several traits: 1) Both theories refer to individual systems, not to ensembles of systems prepared

  • 2) SPA does not modify OQM in a substantial way: It keeps without changes the Schrödinger equation and recovers a version of Born’s postulate where no reference to measurement is made

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Summary

Introduction

The foundations of quantum mechanics were laid in the period 1900-1926. Some of its achievements were introduced and discussed at the Fifth Solvay Congress (1927). The corresponding change of formalism should be realized, keeping as much as possible the experimental predictions of OQM, a theory imposingly successful [12] This is the main aim of the spontaneous projection approach (SPA), a version of quantum theory previously formulated for cases where the Hamiltonian does not depend explicitly on time. Some authors dealing with the measurement problem avoid reference to the observer, but assume that measuring devices are macroscopic Concerning this hypothesis Max Jammer highlights: “as long as a quantum mechanical one-body or many-body system does not interact with a macroscopic object, as long as its motion is described by the deterministic Schrödinger time-dependent equation, no events could be considered to take place in the system.

OQM Implies a Kind of Action-at-a-Distance
OQM Is at Variance with Determinism and Conservation Laws
OQM Is Incoherent and Contradictory
The Spontaneous Projection Approach
The Statistical Sense of Conservation Laws
The Concept of Preferential Set
The Formalism of SPA
Concluding Remarks
Full Text
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