The vacuum energy density of free scalar quantum field Φ in a Rindler distributional spacetime with distributional Levi-Cività connection is considered.It has been widely believed that, except in very extreme situations, the influence of acceleration on quantum fields should amount to just small, sub-dominant contributions. Here we argue that this belief is wrong by showing that in a Rindler distributional background spacetime with distributional Levi-Cività connection the vacuum energy of free quantum fields is forced, by the very same background distributional spacetime such a Rindler distributional background spacetime, to become dominant over any classical energy density component. This semiclassical gravity effect finds its roots in the singular behavior of quantum fields on a Rindler distributional spacetimes with distributional Levi-Cività connection. In particular we obtain that the vacuum fluctuations 〈2 has a singular behavior at a Rindler horizon 0 : 〈2~−4, ≈ c2/a,a → . Therefore sufficiently strongly accelerated observer burns up near the Rindler horizon. Thus Polchinski’s account doesn’t violation of the Einstein equivalence principle.
Comments: 58 Pages.
[v1] 2017-09-03 05:26:57
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