Abstract
It is proved that in non-collapse quantum mechanics the state of a closed system can always be expressed as a superposition of states all of which describe histories that conform to Born’s probability rule. This theorem allows one to see Born probabilities in non-collapse quantum mechanics as an appropriate predictive tool, implied by the theory, provided an appropriate version of the superposition principle is included in its axioms
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Acknowledgements
I am grateful to Marek Biskup, Michael Gutperle, Ander Holroyd, Jim Ralston, Pierrre-François Rodriguez and Sheldon Smith for enlightening discussions. Special thanks go to Jim Ralston and Maria Eulalia Vares for their careful reading of the proof.
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Schonmann, R.H. (2021). How Can the Appropriate Objective and Predictive Probabilities Get into Non-collapse Quantum Mechanics?. In: Vares, M.E., Fernández, R., Fontes, L.R., Newman, C.M. (eds) In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius. Progress in Probability, vol 77. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-60754-8_30
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