2021/10/13 by Salvador Robles-Pérez, Robles-Pérez, Salvador J.
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2110.06521
Within the third quantisation formalism, we find solutions of the Wheeler-DeWitt in terms of two sets of modes that can be identified with the Hartle-Hawking's no boundary condition and with the Vilenkin's tunneling boundary condition, respectively. The two sets of modes are related by a Bogolyubov transformation so the no boundary vacuum state turns out to be equivalent to a thermal distribution of tunnelling positive and negative modes representing, in a relative sense, universes and antiuniverses