Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Quantum mechanics with spontaneous localization and the quantum theory of measurement

Fabio Benatti, G. C. Ghirardi, A. Rimini, T. Weber

Published Jul 1, 1987• 74 citations
Publisher
DOI
10.1007/bf02829774

Related papers

Quantum Mechanics with Spontaneous Localization and Experiments

Fabio Benatti, G. C. Ghirardi, Renata Grassi

NATO ASI series. Series B : Physics•Jan 1, 1995•6 citations

Toward a Local Theory of Light

Richard A. Hutchin

Quantum mechanics is a probabilistic theory of the universe suggestive of a mean value theory similar to thermodynamics prior to the introduction of the atomic theory. If QM will follow a similar path to thermodynamics, then a local deterministic theory must be developed which matches QM predictions. There have been four tough barriers to a local theory of light, of which Bell’s Theorem has been considered the ultimate barrier. The other three barriers are explaining spontaneous emission, the reflection of a small fraction of light at a dielectric interface and the splitting action of a polarizer on polarized light (Malus’ Law). The challenge is that in a local theory of light, everything must have a specific cause and effect. There can be nothing spontaneous or hidden. Local solutions to all four of these barriers are presented in this paper, integrating results from two previous papers and adding the solution paths to the third and fourth barriers as well, which are nearly identical. A previous paper [1] used results from Einstein’s famous 1917 paper on stimulated emission to provide a deterministic local model for spontaneous emission. A second paper [2] showed that QM predictions in tests of Bell’s theorem could be matched with a local model by modifying the definition of entanglement in a manner invisible to quantum mechanics. This paper summarizes and extends those two results and then presents a deterministic model of reflection from a dielectric interface and transmission of polarized light through a polarizer that both match quantum mechanics. As the framework of a local theory of light emerges, it is not surprising that we find corners of physics where small disagreements with quantum mechanics are predicted. A new Bell type test is described in this paper which can distinguish the local from the nonlocal theory, giving predictions that must disagree slightly but significantly with quantum mechanics. If such experiments are proven to disagree with quantum mechanics, then the door to a local theory of light will be opened.

Optics and Photonics Journal•Jan 1, 2015•1 citation

Environmental and spontaneous localization

Michael R. Gallis, Gordon N. Fleming

The dynamical elimination or reduction of macroscopic superpositions has long been of interest, particularly with regard to the quantum theory of measurement. A number of models have demonstrated this for the reduced density matrix of a system interacting with an environment. Alternatively, Ghirardi, Rhimini, and Weber [Phys. Rev. D 34, 470 (1986)] have proposed a fundamental modification of the Schr\"odinger equation, quantum mechanics with spontaneous localization (QMSL), which provides a master equation similar in mathematical form. In this paper we consider an isotropic environment that is elastically scattered by the system of interest with negligible momentum transfer, extending a previous result of Joos and Zeh [Z. Phys. B. 59, 223 (1985)] from small length scales to all length scales. We discuss the physical nature and relevance of the differences between our result and similar open systems calculations. We describe the mathematical similarity between our extended environmental model and the QMSL dynamics determining the QMSL parameters that allow calculations using QMSL to be used as a model for the effect of the environment. That gives us access to a number of interesting results obtained for the QMSL master equation. Finally, we discuss some experimental considerations for the purposes of detecting effective nonunitary evolution of this form.

Physical Review A•Jul 1, 1990•188 citations

Genesis of the Spontaneous Localization Approach to Quantum Measurement

A. Rimini

AIP conference proceedings•Jan 1, 2006•1 citation

Causation

Peter J. Lewis

Abstract What are the consequences of quantum mechanics for the structure of causal explanation? It depends on the interpretation you choose. According to a hidden variable theory like Bohm’s, a measurement on one particle can have instantaneous effects on another, no matter how distant. This nonlocality is in prima facie conflict with special relativity. The prospects for constructing a local hidden variable theory are assessed, in particular by invoking backward-in-time causation. Many-worlds theories do not invoke nonlocal causation. However, they do entail that microcausal explanations are in terms of waves, not particles, and they inject consideration of the observer’s location among the worlds into causal explanations. Spontaneous collapse theories like GRW do invoke nonlocal causation; the prospects for a local spontaneous collapse theory are investigated. All of the major interpretations of quantum mechanics modify the structure of causal explanation from the received classical ideal.

•Aug 18, 2016•0 citations

Quantum mechanics with spontaneous localization revisited

T. Weber

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Oct 1, 1991•6 citations
Quantum mechanics is a probabilistic theory of the universe suggestive of a mean value theory similar to thermodynamics prior to the introduction of the atomic theory. If QM will follow a similar path to thermodynamics, then a local deterministic theory must be developed which matches QM predictions. There have been four tough barriers to a local theory of light, of which Bell’s Theorem has been considered the ultimate barrier. The other three barriers are explaining spontaneous emission, the reflection of a small fraction of light at a dielectric interface and the splitting action of a polarizer on polarized light (Malus’ Law). The challenge is that in a local theory of light, everything must have a specific cause and effect. There can be nothing spontaneous or hidden. Local solutions to all four of these barriers are presented in this paper, integrating results from two previous papers and adding the solution paths to the third and fourth barriers as well, which are nearly identical. A previous paper [1] used results from Einstein’s famous 1917 paper on stimulated emission to provide a deterministic local model for spontaneous emission. A second paper [2] showed that QM predictions in tests of Bell’s theorem could be matched with a local model by modifying the definition of entanglement in a manner invisible to quantum mechanics. This paper summarizes and extends those two results and then presents a deterministic model of reflection from a dielectric interface and transmission of polarized light through a polarizer that both match quantum mechanics. As the framework of a local theory of light emerges, it is not surprising that we find corners of physics where small disagreements with quantum mechanics are predicted. A new Bell type test is described in this paper which can distinguish the local from the nonlocal theory, giving predictions that must disagree slightly but significantly with quantum mechanics. If such experiments are proven to disagree with quantum mechanics, then the door to a local theory of light will be opened.
The dynamical elimination or reduction of macroscopic superpositions has long been of interest, particularly with regard to the quantum theory of measurement. A number of models have demonstrated this for the reduced density matrix of a system interacting with an environment. Alternatively, Ghirardi, Rhimini, and Weber [Phys. Rev. D 34, 470 (1986)] have proposed a fundamental modification of the Schr\"odinger equation, quantum mechanics with spontaneous localization (QMSL), which provides a master equation similar in mathematical form. In this paper we consider an isotropic environment that is elastically scattered by the system of interest with negligible momentum transfer, extending a previous result of Joos and Zeh [Z. Phys. B. 59, 223 (1985)] from small length scales to all length scales. We discuss the physical nature and relevance of the differences between our result and similar open systems calculations. We describe the mathematical similarity between our extended environmental model and the QMSL dynamics determining the QMSL parameters that allow calculations using QMSL to be used as a model for the effect of the environment. That gives us access to a number of interesting results obtained for the QMSL master equation. Finally, we discuss some experimental considerations for the purposes of detecting effective nonunitary evolution of this form.
Abstract What are the consequences of quantum mechanics for the structure of causal explanation? It depends on the interpretation you choose. According to a hidden variable theory like Bohm’s, a measurement on one particle can have instantaneous effects on another, no matter how distant. This nonlocality is in prima facie conflict with special relativity. The prospects for constructing a local hidden variable theory are assessed, in particular by invoking backward-in-time causation. Many-worlds theories do not invoke nonlocal causation. However, they do entail that microcausal explanations are in terms of waves, not particles, and they inject consideration of the observer’s location among the worlds into causal explanations. Spontaneous collapse theories like GRW do invoke nonlocal causation; the prospects for a local spontaneous collapse theory are investigated. All of the major interpretations of quantum mechanics modify the structure of causal explanation from the received classical ideal.