Quantum Nature of the Big Bang: Improved dynamics

Details Quantum Nature of the Big Bang: Improved dynamics Quantum Nature of the Big Bang: Improved dynamics

2006-07-10

arxiv.org/abs/gr-qc/0607039v2

Phys.Rev.D74:084003,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Typos corrected. Revised version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.74.084003

An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then studied in detail using analytical and numerical methods. The scalar field continues to serve as `emergent time', the big bang is again replaced by a quantum bounce, and quantum evolution remains deterministic across the deep Planck regime. However, while with the Hamiltonian constraint used so far in loop quantum cosmology the quantum bounce can occur even at low matter densities, with the new Hamiltonian constraint it occurs only at a Planck-scale density. Thus, the new quantum dynamics retains the attractive features of current evolutions in loop quantum cosmology but, at the same time, cures their main weakness.

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