TL;DR
This paper reviews the Everett interpretation of quantum mechanics, emphasizing the structure of quantum states and the role of decoherence in understanding branching, using the quantum histories formalism.
Contribution
It provides a detailed analysis of the structural aspects of the Everett interpretation, especially through the lens of decoherence and quantum histories.
Findings
Decoherence theory models the branching structure in Everett's interpretation.
Quantum histories formalism clarifies the interpretation of quantum state structure.
The paper distinguishes between structural and probabilistic aspects of the interpretation.
Abstract
The Everett interpretation of quantum mechanics divides naturally into two parts: first, the interpretation of the structure of the quantum state, in terms of branching, and second, the interpretation of this branching structure in terms of probability. This is the first of two reviews of the Everett interpretation, and focuses on structure, with particular attention to the role of decoherence theory. Written in terms of the quantum histories formalism, decoherence theory just is the theory of branching structure, in Everett's sense.
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