Inhomogeneous modes in the PT-symmetric quantum cosmology
O.O.Novikov
TL;DR
This paper explores PT-symmetric quantum theory to address phantom field cosmology issues, analyzing inhomogeneous fluctuations via the Wheeler-DeWitt equation and a pseudo-Hermitian Hamiltonian approach.
Contribution
It introduces a novel application of PT-symmetric quantum theory to cosmology, specifically addressing inhomogeneous fluctuations in phantom field models.
Findings
Inhomogeneous modes are described using a time-dependent pseudo-Hermitian Hamiltonian.
The approach offers a new perspective on quantum fluctuations in cosmological models.
The method potentially resolves issues related to phantom field cosmology.
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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