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Probability of Self-Location in the Framework of the Many-Worlds Interpretation
Lev Vaidman1,2
1School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978, Israel.
Abstract:
The growing interest in the concept of probability of self-location of a conscious agent has created multiple controversies. Considering David Albert's setup in which he described his worries about consistency of the concept, I identify the sources of these controversies and argue that defining "self" in an operational way provides a satisfactory meaning for the probability of self-location of an agent in a quantum world. It keeps the nontrivial feature of having subjective ignorance of self-location without ignorance about the state of the universe. It also allows defining the Born rule in the many-worlds interpretation of quantum mechanics and proving it from some natural assumptions.
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