The Born rule may be stated mathematically as the rule that probabilities in quantum theory are expectation values of a complete orthogonal set of projection operators. This rule works for single laboratory settings in which the observer can distinguish all the different possible outcomes corresponding to the projection operators. However, theories of inflation suggest that the universe may be so large that any laboratory, no matter how precisely it is defined by its internal state, may exist in a large number of very distantly separated copies throughout the vast universe. In this case, no observer within the universe can distinguish all possible outcomes for all copies of the laboratory. Then normalized probabilities for the local outcomes that can be locally distinguished cannot be given by the expectation values of any projection operators. Thus the Born rule dies and must be replaced by another rule for observational probabilities in cosmology. The freedom of what this new rule is to be is the measure problem in cosmology. A particular volume-averaged form is proposed.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Lüders's Rule as a Description of Individual State Transformations.Sergio Martinez - 1991 - Philosophy of Science 58 (3):359-376.
When Worlds Collide: Quantum Probability From Observer Selection? [REVIEW]Robin Hanson - 2003 - Foundations of Physics 33 (7):1129-1150.
General Relativity and the Probability Interpretation of Everett's Relative State Formulation.David Strayhorn - unknown
A Formal Proof of the Born Rule From Decision-Theoretic Assumptions [Aka: How to Prove the Born Rule].David Wallace - 2010 - In Simon Saunders, Jon Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.
Added to index2009-04-01
Total downloads30 ( #167,472 of 2,153,857 )
Recent downloads (6 months)1 ( #398,274 of 2,153,857 )
How can I increase my downloads?