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Three Roads To Quantum Gravity

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MANY OBSERVERS, NOT MANY WORLDS<br />

43<br />

different from what seems to be coming out of the equations of<br />

the conventional approach to quantum cosmology. There,<br />

each solution seems to have within it descriptions of an<br />

in®nite number of universes. These universes differ, not only<br />

in the answers that the theory gives to questions, but by the<br />

questions that are asked.<br />

Everett's relative-state form of the theory must therefore be<br />

supplemented by a theory of why what we observe corresponds<br />

to the answers to certain questions, and not to an<br />

in®nite number of other questions. Several people have<br />

attempted to deal with this, and some progress has been<br />

made using an idea called decoherence. A set of questions is<br />

called decoherent if there is no chance that a de®nite answer<br />

to one is a superposition of de®nite answers to others. This<br />

idea has been developed by several people into an approach<br />

to quantum cosmology called the consistent histories formulation.<br />

This approach lets you specify a series of questions<br />

about the history of the universe. Assuming only that the<br />

questions are consistent with one another, in the sense that<br />

the answer to one will not preclude our asking another, this<br />

approach tells us how to compute the probabilities of the<br />

different possible answers. This is progress, but it does not go<br />

far enough. The world we experience is decoherent but, as has<br />

been convincingly shown by two young English physicists,<br />

Fay Dowker and Adrian Kent, so are an in®nite number of<br />

other possible worlds.<br />

One of the most dramatic moments I've experienced during<br />

my career in science was the presentation of this work at a<br />

conference on quantum gravity in Durham, England, in the<br />

summer of 1995. When Fay Dowker began her presentation on<br />

the consistent histories formulation, that approach was<br />

generally regarded as the best hope for resolving the problems<br />

of quantum cosmology. She was a postdoc under James<br />

Hartle, who had pioneered the development of the consistent<br />

histories approach to quantum cosmology, and there was<br />

little indication in her introduction of what was coming. In a<br />

masterful presentation she built up the theory, elucidating<br />

along the way some of its most puzzling aspects. The theory<br />

seemed in better shape than ever. Then she proceeded to

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