Making sense of Born's rule pα=‖Ψα‖2 with the many-minds interpretation
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 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 à la Deutsch, Wallace, and envariance à la Zurek and show how these approaches are connected to our model.
- Publication:
-
Quantum Studies: Mathematics and Foundations
- Pub Date:
- August 2021
- DOI:
- arXiv:
- arXiv:2011.11501
- Bibcode:
- 2021QSMF....8..315D
- Keywords:
-
- Everett;
- Many-minds;
- Probability;
- Born's rule;
- Quantum Physics
- E-Print:
- This is the final version more focused on the many-minds theory of Albert and Loewer and envariance \`a la Zurek