Many worlds and the emergence of probability in quantum mechanics

The interpretation of the squared norm as probability and the apparent stochastic nature of observation in quantum mechanics are derived from the strong law of large numbers and the algebraic properties of infinite sequences of simultaneous quantum observables. It is argued that this result validates the many-worlds view of quantum reality.Comment: 23 page

Hidden variables in quantum mechanics: Generic models, set-theoretic forcing, and the emergence of probability

The hidden-variables premise is shown to be equivalent to the existence of generic filters for algebras of commuting propositions and for certain more general propositional systems. The significance of this equivalence is interpreted in light of the theory of generic filters and boolean-valued models in set theory (the method of forcing). The apparent stochastic nature of quantum observation is derived for these hidden-variables models.Comment: 67 pages. Corrected formulas for conditional and joint probabilities per comment of J. Malle