The logic of the future in the Everett-Wheeler understanding of quantum theory

Anthony Sudbery

Published 2014-09-02, updated 2014-09-04Version 2

I discuss the problems of probability and the future in the Everett-Wheeler understanding of quantum theory. To resolve these, I propose an understanding of probability arising from a form of temporal logic: the probability of a future-tense proposition is identified with its truth value in a many-valued and context-dependent logic. I construct a lattice of tensed propositions, with truth values in the interval $[0,1]$, and derive logical properties of the truth values given by the usual quantum-mechanical formula for the probability of histories.