Spontaneous creation of the universe from nothing
Dongshan He, Dongfeng Gao, Qing-yu Cai
(Submitted on 4 Apr 2014)
An interesting idea is that the universe could be spontaneously created from nothing, but no rigorous proof has been given. In this paper, we present such a proof based on the analytic solutions of the Wheeler-DeWitt equation (WDWE). Explicit solutions of the WDWE for the special operator ordering factor p=-2 (or 4) show that, once a small true vacuum bubble is created by quantum fluctuations of the metastable false vacuum, it can expand exponentially no matter whether the bubble is closed, flat or open. The exponential expansion will end when the bubble becomes large and thus the early universe appears. With the de Broglie-Bohm quantum trajectory theory, we show explicitly that it is the quantum potential that plays the role of the cosmological constant and provides the power for the exponential expansion of the true vacuum bubble. So it is clear that the birth of the early universe completely depends on the quantum nature of the theory.
Comments: The problem of singularity can be avoided naturally as the universe can be spontaneously created from nothing
Subjects: General Relativity and Quantum Cosmology (gr-qc); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
Journal reference: Phys. Rev. D 89, 083510 (2014)
DOI: 10.1103/PhysRevD.89.083510
Cite as: arXiv:1404.1207 [gr-qc]
(or arXiv:1404.1207v1 [gr-qc] for this version)
Submission history
From: Qing-Yu Cai [view email]
[v1] Fri, 4 Apr 2014 10:09:09 GMT (9kb)
FREE PDF GRATIS: ArXiv
