Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-02-22
Phys.Rev.Lett.96:141301,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Revtex4, 4 Pages, 2 Figures. Minor changes to match the published version in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.96.141301
Some long standing issues concerning the quantum nature of the big bang are resolved in the context of homogeneous isotropic models with a scalar field. Specifically, the known results on the resolution of the big bang singularity in loop quantum cosmology are significantly extended as follows: i) the scalar field is shown to serve as an internal clock, thereby providing a detailed realization of the `emergent time' idea; ii) the physical Hilbert space, Dirac observables and semi-classical states are constructed rigorously; iii) the Hamiltonian constraint is solved numerically to show that the big bang is replaced by a big bounce. Thanks to the non-perturbative, background independent methods, unlike in other approaches the quantum evolution is deterministic across the deep Planck regime.
Ashtekar Abhay
Pawlowski Tomasz
Singh Parampreet
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