TY - JOUR
T1 - The decoherence and interference of cosmological arrows of time for a de sitter universe with quantum fluctuations
AU - Rotondo, Marcello
AU - Nambu, Yasusada
N1 - Funding Information:
Funding: Y.N. was supported in part by JSPS KAKENHI Grant No. 15K05073.
Publisher Copyright:
© 2018 by the authors.
PY - 2018/6
Y1 - 2018/6
N2 - We consider the superposition of two semiclassical solutions of the Wheeler-DeWitt equation for a de Sitter universe, describing a quantized scalar vacuum propagating in a universe that is contracting in one case and expanding in the other, each identifying the opposite cosmological arrow of time. We discuss the suppression of the interference terms between the two arrows of time due to environment-induced decoherence caused by modes of the scalar vacuum crossing the Hubble horizon. Furthermore, we quantify the effect of the interference on the expectation value of the observable field mode correlations, with respect to an observer that we identify with the spatial geometry.
AB - We consider the superposition of two semiclassical solutions of the Wheeler-DeWitt equation for a de Sitter universe, describing a quantized scalar vacuum propagating in a universe that is contracting in one case and expanding in the other, each identifying the opposite cosmological arrow of time. We discuss the suppression of the interference terms between the two arrows of time due to environment-induced decoherence caused by modes of the scalar vacuum crossing the Hubble horizon. Furthermore, we quantify the effect of the interference on the expectation value of the observable field mode correlations, with respect to an observer that we identify with the spatial geometry.
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U2 - 10.3390/universe4060071
DO - 10.3390/universe4060071
M3 - Article
AN - SCOPUS:85064414010
SN - 2218-1997
VL - 4
JO - Universe
JF - Universe
IS - 6
M1 - 71
ER -