# Self-locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics

@article{Sebens2018SelflocatingUA, title={Self-locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics}, author={Charles T. Sebens and S. Carroll}, journal={The British Journal for the Philosophy of Science}, year={2018}, volume={69}, pages={25 - 74} }

A longstanding issue in attempts to understand the Everett (many-worlds) 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 self-locating 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…

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## References

SHOWING 1-10 OF 103 REFERENCES

Probabilities from entanglement , Born ’ s rule

- Physics
- 2005

I show how probabilities arise in quantum physics by exploring the implications of environment-assisted invarianceor envariance, a recently discovered symmetry exhibited by entangled quantum systems.…

Objective Probability in Everettian Quantum Mechanics

- PhilosophyThe British Journal for the Philosophy of Science
- 2013

David Wallace has given a decision-theoretic argument for the Born Rule in the context of Everettian quantum mechanics (EQM). This approach promises to resolve some long-standing problems with…

Everettian quantum mechanics without branching time

- PhilosophySynthese
- 2011

This paper assesses the prospects for combining contemporary Everettian quantum mechanics with branching-time semantics in the tradition of Kripke, Prior, Thomason and Belnap, and concludes by discussing and rejecting an alternative possible motivation for branching time.

The Probability Problem in Everettian Quantum Mechanics Persists

- PhilosophyThe British Journal for the Philosophy of Science
- 2015

Everettian quantum mechanics (EQM) results in ‘multiple, emergent, branching quasi-classical realities’ (Wallace [2012]). The possible outcomes of measurement as per ‘orthodox’ quantum mechanics are,…

The Many-worlds interpretation of quantum mechanics

- Physics
- 2015

This volume contains Dr. Everett's short paper from 1957, "'Relative State' Formulation of Quantum Mechanics," and a far longer exposition of his interpretation, entitled "The Theory of the Universal Wave Function," never before published.

Probability in the Many-Worlds Interpretation of Quantum Mechanics

- Physics
- 2012

It is argued that, although in the Many-Worlds Interpretation of quantum mechanics there is no “probability” for an outcome of a quantum experiment in the usual sense, we can understand why we have…

Everett and evidence

- Philosophy, Physics
- 2008

Much of the evidence for quantum mechanics is statistical in nature. Relative frequency data summarizing the results of repeated experiments is compared to probabilities calculated from the theory;…

Decoherence, einselection, and the quantum origins of the classical

- Physics
- 2003

as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus…

Does it Make Sense to Speak of Self-Locating Uncertainty in the Universal Wave Function? Remarks on Sebens and Carroll

- Philosophy
- 2014

Following a proposal of Vaidman (Int Stud Philos Sci 12:245–261, 1998) (in: Zalta EN (ed) The Stanford encyclopaedia of philosophy, 2014) (in: Ben-Menahem Y, Hemmo M (ed) The probable and the…

Environment-induced superselection rules

- Physics
- 1982

We show how the correlations of a quantum system with other quantum systems may cause one of its observables to behave in a classical manner. In particular, "reduction of the wave packet," postulated…