Horizon complementarity in elliptic de Sitter space
Lucas Hackl, Yasha Neiman
PHYSICAL REVIEW D | AMER PHYSICAL SOC | Published : 2015
We study a quantum field in elliptic de Sitter space dS4/Z2 - the spacetime obtained from identifying antipodal points in dS4. We find that the operator algebra and Hilbert space cannot be defined for the entire space, but only for observable causal patches. This makes the system into an explicit realization of the horizon complementarity principle. In the absence of a global quantum theory, we propose a recipe for translating operators and states between observers. This translation involves information loss, in accordance with the fact that two observers see different patches of the spacetime. As a check, we recover the thermal state at the de Sitter temperature as a state that appears the ..View full abstract
Awarded by National Science Foundation (NSF)
We are grateful to Abhay Ashtekar and Laurent Freidel for discussions. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. Y. N. also acknowledges support of funding from Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery grants. During the early stages of this work, Y. N. was employed at Penn State University, supported in part by the National Science Foundation (NSF) Grant No. PHY-1205388 and the Eberly Research Funds of Penn State.