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Quantum Fields in Curved Space N. D. Birrell, P. C. W. Davies
Publisher: Cambridge University Press

Well, the issue is that professor Wisdom's 'breaststroke' is not particularly effective to overcome earth's gravity, as it relies on the local curvature of spacetime. A new improved criterion for the validity of First, we consider metric perturbations in a Minkowski spacetime, compute the two-point correlation functions of these perturbations and prove that Minkowski spacetime is a stable solution of semiclassical gravity. The prediction of their existence falls out of the Dirac Equation, but Einstein's model accounts for the negative energy states differently than modern quantum field theory does: Once Upon a Spacetime · 3:58 PM. Gravitons are virtual excitations of the curvature of space-time, treated as a quantum mechanical field. This curvature is very small, and its effects are hardly noticable in everyday life and over small distances. The second input is to take some spacetime manifold (like flat Minkowski space or something more curved) and attach a C*-algebra to each open subset in a compatible way. Or indeed the Quantum Field, Higgs Field, New Luminiferous Ether, or whatever else we may end up calling it. If the effective global curvature is Even assuming the existence of a realistic concept similar to the cosmological constant, in alternative approaches to quantum field theory [5] one can expect it to be generated only in the presence of standard matter. The question of the space curvature is a major one, but measuring it at large cosmological scales may be extremely difficult if the actual Universe is much larger than the observable one. Einstein's proposed unified-field equations (fundamental laws of physics) were generally derived from a variational principle expressed in terms of the Riemann curvature tensor for the presumed space-time manifold. Gravitation: the medium of exchange is the metric of space-time itself. In field theories of this kind, particles . Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics). And have studied quantum information transmission in the presence of a black hole. The noise kernel is the vacuum expectation value of the (operator-valued) stress-energy bitensor, which describes the fluctuations of quantum-matter fields in curved spacetimes. As an addendum, it is also interesting to note that Hawking radiation is a direct consequence of quantum field theory in curved space-time.