Anthropic Bias Observation Selection Effects in Science and Philosophy Nick Bostrom



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A quantum generalization of OE


If one adopts a many-worlds interpretation of quantum physics of the type that postulates a primitive connection between the quantum measure of an observer-moment and the probability of finding oneself currently as that observer-moment, then one needs to augment OE by assigning a weight to each observer-moment that is being summed over, representing that observer-moment’s quantum measure. This gives us

(QOE)

where is a normalization constant:

(No assertion is made here about the virtues of such an approach; we just point out how it can be modeled within the current framework.) This formula can also be used in a non-quantum context if one wishes to assign different kinds of observer-moments different weights, for example a larger weight to observer-moments that are clearer or more intense.



One might have a similar expression with an integral instead of a sum if one is dealing with a continuum of observer-moments, but since we want to stick to finite cases in this book we shall not explore that suggestion here.88


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