8 problems
A theory with a quadratic Hamiltonian constraint has a two-sheet structure, and the clock reversal transformation is the symmetry associated with passage from one sheet to the othe…
In the Hamiltonian approach, the Wheeler–DeWitt equation is solved in a minisuperspace approximation, and transition probabilities between vacuum configurations can be computed usi…
Euclidean vacuum transitions are studied by analytically continuing between Euclidean and Lorentzian descriptions, while Hamiltonian approaches can describe transitions between clo…
In the Taub quantum cosmology under consideration, fix and consider a wave function whose squared modulus does not grow without bound as . Each…
In Bianchi IX quantum cosmology, let , , and be the Misner variables, with fixed, and let be a Wheeler–DeWitt wave function. At each poin…
Let be the parameter of the anisotropic Hamiltonian operator , whose asymptotic Hamiltonians as and have discrete spectra. D…
Consider cosmological scenarios involving successive Big Bangs, including the alternatives of “nothing before Big Bang” and cyclic repetition of Big Bangs. The Darwin-like evolutio…
The toy model has a finite-dimensional observable Hilbert space with a time-dependent physical inner product, and it allows the observable Universe to exist before the Big Bang and…