Making sense of Born's rule $p_\alpha=\lVert\Psi_\alpha\rVert^2$ with the many-minds interpretation

TL;DR

This paper develops a unitary many-minds model within the Everett interpretation to justify Born's rule, incorporating classical-like initial condition randomness and connecting with decision-theoretic and envariance approaches.

Contribution

It introduces a non-stochastic, unitary many-minds model with initial condition randomness, linking it to existing decision-theoretic and envariance methods for deriving Born's rule.

Findings

Model reproduces Born's rule without genuine stochasticity.

Connects many-minds interpretation with decision theory and envariance approaches.

Highlights differences from previous stochastic models.

Abstract

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