Resolution of the causality paradox in quantum gravity
نویسنده
چکیده
The metric determines the casual structure of spacetime, but in quantum gravity it is also a dynamical field which must be quantized using this causal structure. A radical resolution of this paradox is proposed: remove the concept of space-like separation entirely. This can be done by describing all fields in terms on p-jets, living on the observer’s trajectory; all points on the trajectory have time-like separations. Such a description is necessary to construct well-defined projective representations of vect(4), which is the correct symmetry algebra of general relativity. The limit p → ∞, needed to reconstruct the quantum fields throughout spacetime, only exists if both bosons and fermions are present.
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