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arXiv:quant-ph/9503019 · Foundations of Physics

Gravity, energy conservation, and parameter values in collapse models

Philip Pearle, Euan J. Squires

Published Mar 1, 1996• 89 citations
arXivHTMLPDF
DOI
10.1007/bf02069474

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A common feature of dynamical reduction models is the violation of energy conservation principle which usually shows up as a constant increase in time of the energy of isolated systems. Anyway for typical values of the parameters of the models, such a violation is usually so weak that cannot be detected with present‐day technology. . Despite the reduction mechanism itself seems responsible for this behaviour, we show that this is not a intrinsic property of dynamical reduction models: we exhibit a collapse model such that the energy of isolated systems does not diverge for large times but reaches an asymptotic finite value. This result could be interesting in understanding how to work out relativistic extensions of dynamical reduction models.
Spontaneous collapse models have been proposed as a possible realist solution of the quantum measurement problem. They assume that the standard unitary evolution is valid only in the microscopic limit, with stochastic corrections leading to a dynamical reduction of the wave function at macroscopic level. A remarkable feature of collapse models is that, unlike interpretations of quantum mechanics, they predict departures from standard theory that can be experimentally tested. A common prediction is a violation of energy conservation, which manifests as an universal force noise acting on mechanical systems. Here, we will discuss recent bounds on collapse models set by mechanical experiments, focusing on ultracold cantilevers and gravitational wave detectors. First notable results are a partial exclusion of the CSL parameters proposed by Adler and a full exclusion of an early model based on quantum gravity arguments.