Results 1 
2 of
2
SelfLocating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics
 In: Struppa, D., & Tollaksen, J. (eds
, 2014
"... A longstanding issue in attempts to understand the Everett (ManyWorlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of the amplitude? Following Vaidman, we note that observers are in a position of selflocating uncertainty during the peri ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
A longstanding issue in attempts to understand the Everett (ManyWorlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of the amplitude? Following Vaidman, we note that observers are in a position of selflocating uncertainty during the period between the branches of the wave function splitting via decoherence and the observer registering the outcome of the measurement. In this period it is tempting to regard each branch as equiprobable, but we give new reasons why that would be inadvisable. Applying lessons from this analysis, we demonstrate (using arguments similar to those in Zurek’s envariancebased derivation) that the Born rule is the uniquely rational way of apportioning credence in Everettian quantum mechanics. In particular, we rely on a single key principle: changes purely to the environment do not affect the probabilities one ought to assign to measurement outcomes in a local subsystem. We arrive at a method for assigning probabilities in cases that involve both classical and quantum selflocating uncertainty. This method provides unique answers to quantum Sleeping Beauty problems, as well as a welldefined procedure for calculating probabilities in quantum cosmological multiverses with multiple similar observers. CALT 682928 1 ar
What is matter? The fundamental ontology of atomism and structural realism
, 2015
"... philosophy of cosmology, Oxford University Press We set out a fundamental ontology of atomism in terms of matter points. While being most parsimonious, this ontology is able to match both classical and quantum mechanics, and it remains a viable option for any future theory of cosmology that goes bey ..."
Abstract
 Add to MetaCart
philosophy of cosmology, Oxford University Press We set out a fundamental ontology of atomism in terms of matter points. While being most parsimonious, this ontology is able to match both classical and quantum mechanics, and it remains a viable option for any future theory of cosmology that goes beyond current quantum physics. The matter points are structurally individuated: all there is to them are the spatial relations in which they stand; neither a commitment to intrinsic properties nor to an absolute space is required. The spatial relations change. All that is needed to capture change is a dynamical structure, namely dynamical relations as