We argue that the conventional quantum field theory in curved spacetime has agrave drawback: The canonical commutation relations for quantum fields andconjugate momenta do not hold. Thus the conventional theory should be denouncedand the related results revised. A Hamiltonian version of the canonicalformalism for a free scalar quantum field is advanced, and the fundamentals ofan appropriate theory are constructed. The principal characteristic feature ofthe theory is quantum-gravitational nonlocality: The Schroedinger fieldoperator at time t depends on the metric at t in the whole 3-space.Applications to cosmology and black holes are given, the results being incomplete agreement with those of general relativity for particles in curvedspacetime. A model of the universe is advanced, which is an extension of theFriedmann universe; it lifts the problem of missing dark matter. A fundamentaland shocking result is the following: There is no particle creation in the caseof a free quantum field in curved spacetime; in particular, neither theexpanding universe nor black holes create particles.
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