Inhomogeneous modes in the PT-symmetric quantum 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.

5 pages, based on talk given at 11th APCTP-BLTP JINR-PNPI NRC KI-SPbU Joint Workshop "Modern problems in nuclear and elementary particle physics", to be published in PEPAN letters

References in corpus (6)

• Making Sense of Non-Hermitian Hamiltonians
• Quantum-gravitational effects on gauge-invariant scalar and tensor perturbations during inflation: The slow-roll approximation
• Signatures of Quantum Gravity in a Born-Oppenheimer Context
• Complex Lagrangians and phantom cosmology
• The Born-Oppenheimer Method, Quantum Gravity and Matter
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Cited by in corpus (5)

• Spectral Noncommutative Geometry, Standard Model and all that
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Integrable Minisuperspace Models with Liouville Field: Energy Density Self-Adjointness and Semiclassical Wave Packets
• Scattering in pseudo-Hermitian quantum field theory and causality violation
• Remark on the synergy between the heat kernel techniques and the parity anomaly