Will geometric phases break the symmetry of time in quantum cosmology\?

Details Will geometric phases break the symmetry of time in quantum cosmology\? Will geometric phases break the symmetry of time in quantum cosmology\?

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.1679k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 4, 15 February 1994, pp.R1679-R1683

Mathematics

Logic

9

Lower Dimensional Models, Minisuperspace Models, Functional Analytical Methods

Scientific paper

We investigate the Wheeler-DeWitt equation for a quantum minisuperspace cosmological model with minimal scalar fields. The adiabatic basis and the nonadiabatic basis of the scalar field Hamiltonian induce mode-dependent gauge potentials to the matrix effective graviational Hamiltonian equation in the projected minisuperspace. In particular, in the nonadiabatic basis the matrix effective gravitational Hamiltonian equation decouples except for a quadratic term of the gauge potential at the classical level. For a closed loop in the projected minisuperspace of the expanding and subsequently recollapsing universe, the mode-dependent geometric phases may break the symmetry of the cosmological time defined along classical trajectories of mode-dependent wave functions.

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