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arXiv · 1906.03873

Loop quantum cosmology from an alternative Hamiltonian

Jinsong Yang·Cong Zhang·Yongge Ma
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Abstract

In this paper, a new Hamiltonian constraint operator for loop quantum cosmology is constructed by using the Chern-Simons action. The quantum dynamics of the $k=0$ cosmological model with respect to a massless scalar field as an emergent time is determined by a difference equation. The semiclassical analysis shows that the new quantum dynamics has the correct classical limit, and the classical big-bang singularity is again replaced by the quantum bounce. Interestingly, the inverse time evolution of the flat Friedmann-Robertson-Walker cosmological model determined by the effective Hamiltonian will be bounced to an asymptotic de Sitter universe.

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Jinsong Yang, Cong Zhang, Yongge Ma. 2019-09-20. Loop quantum cosmology from an alternative Hamiltonian. https://doi.org/10.1103/physrevd.100.064026

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