2025/12/15 by Canedo, D. L., Oliveira-Neto, G., Monerat, G. A. +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2512.13621
In the present paper, we study a Friedmann-Lemaître-Robertson-Walker (FLRW) quantum cosmology model with positively curved spatial sections. The matter content of the model is given by a radiation fluid, a Chaplygin gas, and an ad hoc potential. After writing the Hamiltonian of the model, we notice that the effective potential (Veff) depends on three parameters: A and B associated with the Chaplygin gas, and σ associated with the ad hoc potential. Depending on the values of these parameters Veff becomes a double barrier potential. We quantize the model and obtain the Wheeler-DeWitt equation. We solve that equation using the WKB approximation and compute the corresponding probability (TPWKB) that the wavefunction of the universe tunnels through the double barrier potential Veff. We study how TPWKB behaves as a function of the parameters A, B, σ and the radiation energy E. We notice a significant occurrence of resonances in TPWKB when varying it as a function of E or σ. It is a very interesting phenomenon because it may cause the universe to be born with selected values of E or σ.