Numerous approaches to a quantum theory of gravity posit fundamental
ontologies that exclude spacetime, either partially or wholly. This situation
raises deep questions about how such theories could relate to the empirical
realm, since arguably only entities localized in spacetime can ever be
observed. Are such entities even possible in a theory without fundamental
spacetime? How might they be derived, formally speaking? Moreover, since by
assumption the fundamental entities can't be smaller than the derived (since
relative size is a spatiotemporal notion) and so can't 'compose' them in any
ordinary sense, would a formal derivation actually show the physical reality of
localized entities? We address these questions via a survey of a range of
theories of quantum gravity, and generally sketch how they may be answered
positively.Comment: 18 pages, 1 figure, accepted for publication in Studies in History
and Philosophy of Modern Physic
The quantum gravity program seeks a theory that handles quantum matter fields and gravity consistently. But is such a theory is really required and must it involve quantizing the gravitational field? We give reasons for a positive answer to the first question, but dispute a widespread contention that it is inconsistent for the gravitational field to be classical while matter is quantum. In particular, we show how a popular argument (Eppley and Hannah 1977) falls short of a no-go theorem, and discuss possible counterexamples. Important issues in the foundations of physics are shown to bear crucially on all these considerations.
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