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arXiv · 1504.04838

Quantum Cosmology via Quantization of Point-Like Lagrangian

Miao He·Zi-Liang Wang·Jian-Bo Deng·Hua Chen
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Abstract

The purpose of this paper is to introduce a new way to inquire the quantum cosmology for a certain gravitational theory. Normally, the quantum cosmological model is introduced as the minisuperspace theory which is obtained by reducing the superspace where the Wheel-DeWitt equation is defined on using the symmetry provided by cosmological principle. Unlike that, the key of our approach is to reinterpret the cosmology in a classical dynamical way using a point-like Lagrangian and then quantize the point-like model. We apply the method into Einstein gravity, gravity with a cosmological constant and the $f(R)$-gravity, and get their wave equations respectively. By analsysing the exact solution for the quantum cosmology with and without a cosmological constant we demonstrate that the cosmological constant is essential and being a tiny positive number. We also show the possibility of explaining inflation under the quantum version of cosmology.

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Miao He, Zi-Liang Wang, Jian-Bo Deng, Hua Chen. 2015-04-19. Quantum Cosmology via Quantization of Point-Like Lagrangian. https://arxiv.org/abs/1504.04838

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