Abstract
We consider the possibility to solve the issues of the phantom field cosmology by means of the PT-symmetric quantum theory. The Born–Oppenheimer approximation is applied to the Wheeler–DeWitt equation to study the inhomogeneous fluctuations over the homogeneous minisuperspace. The evolution of the longitudinal inhomogeneous modes in WKB-time is described using a time-dependent pseudo-Hermitian effective Hamiltonian.
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Novikov, O.O. Inhomogeneous Modes in the PT-Symmetric Quantum Cosmology. Phys. Part. Nuclei Lett. 15, 353–356 (2018). https://doi.org/10.1134/S1547477118040179
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DOI: https://doi.org/10.1134/S1547477118040179