Quantum Gravity and String Theory


Was Polchinski Wrong? Colombeau Disributional Rindler Spacetime with Disributional Levi-Cività Connection Induced a Strong Vacuum Dominance. Unruh Effect Revisited

Authors: J. Foukzon, A. A. Potapov, E. R. Men’kova

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.

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[v1] 2017-09-03 05:26:57

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