Author(s)

Jaykov Foukzon¹, Alexander Potapov², Elena Men’kova³

¹Center for Mathematical Sciences, Israel Institute of Technology, Haifa, Israel.
²IRE RAS, Moscow, Russia.
³All-Russian Research Institute for Optical and Physical Measurements, Moscow, Russia.

The vacuum energy density of free scalar quantum field in a Rindler distributional space-time 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 space-time with distributional Levi-Cività connection the vacuum energy of free quantum fields is forced, by the very same background distributional space-time such a Rindler distributional background space-time, 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 space-times with distributional Levi-Cività connection. In particular we obtain that the vacuum fluctuations have a singular behavior at a Rindler horizon . Therefore sufficiently strongly accelerated observer burns up near the Rindler horizon. Thus Polchinski’s account doesn’t violate the Einstein equivalence principle.

Vacuum Energy Density, Rindler Distributional Space-Time, Levi-Cività Connection, Semiclassical Gravity Effect, Einstein Equivalence Principle Space-Time, Levi-Cività Connection, Semiclassical Gravity Effect, Einstein Equivalence Principle

Foukzon, J. , Potapov, A. and Men’kova, E. (2018) Was Polchinski Wrong? Colombeau Distributional Rindler Space-Time with Distributional Levi-Cività Connection Induced Vacuum Dominance. Unruh Effect Revisited. Journal of High Energy Physics, Gravitation and Cosmology, 4, 361-440. doi: 10.4236/jhepgc.2018.42023.