Portal de Periódicos da CAPES

Third Quantization and Quantum Universes

2014; Elsevier BV; Volume: 246-247; Linguagem: Inglês

10.1016/j.nuclphysbps.2013.10.067

1873-3832

Sang Pyo Kim,

Noncommutative and Quantum Gravity Theories

We study the third quantization of the Friedmann-Robertson-Walker cosmology with N-minimal massless fields. The third quantized Hamiltonian for the Wheeler-DeWitt equation in the minisuperspace consists of infinite number of intrinsic time-dependent, decoupled oscillators. The Hamiltonian has a pair of invariant operators for each universe with conserved momenta of the fields that play a role of the annihilation and the creation operators and that construct various quantum states for the universe. The closed universe exhibits an interesting feature of transitions from stable states to tachyonic states depending on the conserved momenta of the fields. In the classical forbidden unstable regime, the quantum states have googolplex growing position and conjugate momentum dispersions, which defy any measurements of the position of the universe.