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Quantum Nature of the Big Bang

Abhay AshtekarInstitute for Gravitational Physics and Geometry, Physics Department, The Pennsylvania State University, University Park, PA 16802, USA. [email protected]Tomasz PawłowskiInstitute for Gravitational Physics and Geometry, Physics Department, The Pennsylvania State University, University Park, Pennsylvania 16802, USAParampreet SinghInstitute for Gravitational Physics and Geometry, Physics Department, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

2006en

ABI

Annotatsiya

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 semiclassical 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 nonperturbative, background independent methods, unlike in other approaches the quantum evolution is deterministic across the deep Planck regime.

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DOI: 10.1103/physrevlett.96.141301

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