2009/05/31 by J. W. Moffat, J W Moffat
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/27/13/135016
published as Class.Quant.Grav.27:135016,2010 · 10 pages, minor change and reference added. Typos corrected. To be published in Class. Quant. Grav.
arxiv created 2010/05/02 · openalex publication_date 2010/05/17 · arxiv updated 2010/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
A quantum gravity theory which becomes renormalizable at short distances due to a spontaneous symmetry breaking of Lorentz invariance and diffeomorphism invariance is studied. A breaking of Lorentz invariance with the breaking patterns SO (3, 1) → O (3) and SO (3, 1) → O (2), describing 3 + 1 and 2 + 1 quantum gravity, respectively, is proposed. A complex time-dependent Schrödinger equation (generalized Wheeler–DeWitt equation) for the wavefunction of the universe exists in the spontaneously broken symmetry phase at Planck energy and in the early universe, uniting quantum mechanics and general relativity. An explanation of the second law of thermodynamics and the spontaneous creation of matter in the early universe can be obtained in the symmetry broken phase of gravity.