Geodesic
Cosmological quantum tunneling and holographic principle
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 313-320

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The probable trajectory of the ground-state wave function of the universe arises through quantum tunneling by gravitational instantons. We calculate the quantum tunneling rate for an $(n{>}2)$-dimensional closed Friedmann–Robertson–Walker universe with a positive cosmological constant. In four dimensions, we use the holographic principle to relate the tunneling rate to the maximal entropy of the early universe after quantum tunneling.
Keywords: tunneling rate, holographic principle, maximal entropy. 
@article{TMF_2013_175_2_a10,
     author = {F. Darabi and Sh. Jalalzadeh},
     title = {Cosmological quantum tunneling and holographic principle},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {313--320},
     publisher = {mathdoc},
     volume = {175},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a10/}
}
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F. Darabi; Sh. Jalalzadeh. Cosmological quantum tunneling and holographic principle. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 313-320. http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a10/