Recently a bound on negative energy densities in four-dimensional Minkowski spacetime was derived for a minimally coupled, quantized, massless, scalar field in an arbitrary quantum state. The bound has the form of an uncertainty-principle-type constraint on the magnitude and duration of the negative energy density seen by a timelike geodesic observer. When spacetime is curved and/or has boundaries, we argue that the bound should hold in regions small compared to the minimum local characteristic… CONTINUE READING

In the renormalization of φ 2 for a scalar field φ on a curved spacetime, there is an analogous term of the form R log(Rµ −2 ), which is discussed in detail by

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Pfenning (unpublished), using our QI bound, also appears to place severe constraints on " warp-drive " , at least in the form of the scenario discussed by Alcubierre