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Averaged energy conditions and quantum inequalities

Averaged energy conditions and quantum inequalities

In this paper, connections are uncovered between the averaged weak (AWEC) and averaged null (ANEC) energy condtions, and quantum inequality restrictions (uncertainty-principle-type inequalities) on negative energy. In two- and four-dimensional Minkowski spacetime, we examine quantized, free massless, minimally coupled scalar fields. In a two-dimensional spatially compactified Minkowski universe, we derive …