Today, collapse theories, together with Bohm’s theory and Everett’s theory, are widely regarded as three main realistic alternatives to standard quantum mechanics. However, there have been controversies on the origin, ontology and models of wave-function collapse. The main purpose of this online workshop is to highlight the existing debates and address the controversies. Another purpose of this workshop is to get some constructive inputs to the forthcoming volume Collapse of the Wave Function: Models, Origin and Ontology (CUP, 2018). The list of contributors includes Daniel Bedingham, Dorje C. Brody, Lajos Diosi, Michaël-Andreas Esfeld, Roman Frigg, Ivette Fuentes, Lane Hughston, Shan Gao, GianCarlo Ghirardi, Nicolas Gisin, Adrian Kent, Peter Lewis, Nicholas Maxwell, Wayne Myrvold, Elias Okon, Oreste Nicrosini, Roland Omnès, Philip Pearle, Roger Penrose, Alberto Rimini, Tejinder P. Singh, Lee Smolin, Daniel Sudarsky, and Roderich Tumulka.
Workshop Date: Tuesday, 30 May, 2017 to Friday, June 30, 2017
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What really matters in Hilbert-space stochastic processes
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The relationship between discontinuous and continuous stochastic processes in Hilbert space is investigated. It is shown that for any continuos process there is a parent discontinuous process, that becomes the continuous one in the proper infinite frequency limit. From the point of view of solving the quantum measurement problem, what really matters is the choice of the set of operators whose value distributions are made sharp. In particular, the key role of position sharping is emphasized.
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