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Making sense of Born's rule p_α=lVertPsi_αrVert² with the many-minds interpretation

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arxiv 2011.11501 v2 pith:MALDO766 submitted 2020-11-23 quant-ph

Making sense of Born's rule p_α=lVertPsi_αrVert² with the many-minds interpretation

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keywords borninterpretationmany-mindsrulealphaemphmodelprevious
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This work is an attempt to justify Born's rule within the framework of the many-minds interpretation seen as a development of the many-worlds interpretation of Everett. More precisely, here we develop a unitary model of many-minds based on the work of Albert and Loewer (Synthese \textbf{77}, 195 (1988)). At the difference of previous models ours is not genuinely stochastic and dualistic and also involves some classical-like randomness concerning the initial conditions of the Universe. We also compare the present method for recovering Born's rule with previous works based on decision theory \emph{\`a la }Deutsch, Wallace, and envariance \emph{\`a la} Zurek and show how these approaches are connected to our model

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