Insufficiency of the Quantum State for Deducing Observational Probabilities

Details Insufficiency of the Quantum State for Deducing Observational Probabilities Insufficiency of the Quantum State for Deducing Observational Probabilities

2008-08-05

arxiv.org/abs/0808.0722v3

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, LaTeX, minor changes made in response to the referee's comments

Scientific paper

It is usually assumed that the quantum state is sufficient for deducing all probabilities for a system. This may be true when there is a single observer, but it is not true in a universe large enough that there are many copies of an observer. Then the probability of an observation cannot be deduced simply from the quantum state (say as the expectation value of the projection operator for the observation, as in traditional quantum theory). One needs additional rules to get the probabilities. What these rules are is not logically deducible from the quantum state, so the quantum state itself is insufficient for deducing observational probabilities. This is the measure problem of cosmology.

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