Positive and Negative Energy Symmetry and the Cosmological Constant Problem Speaker(s): John Moffat
Abstract: The Hamiltonian for the quantized gravitational and matter fields contains both positive and negative energy particle contributions, which leads through a positive and negative energy symmetry of the vacuum to a cancellation of the zeropoint vacuum energy and a vanishing cosmological constant in the presence of a gravitational field. The positive and negative energy particles interact only weakly through gravity. As in the case of antimatter, the negative energy matter is not found naturally on Earth or in galaxies in the universe. We introduce a graviton momentum cutoff ΛG ≤ 2 x103 eV that leads to a gravitational stability of the Minkowski spacetime vacuum with a lifetime greater than the age of the universe. A positive energy spectrum and a consistent unitary field theory for a pseudo Hermitian Hamiltonian is obtained by demanding that the pseudoHermitian Hamiltonian is PT symmetric. The quadratic divergences in the twopoint vacuum fluctuations and the self energy of a scalar field are removed. By adopting a Higgsless model of electroweak theory, we remove the finetuning associated with a spontaneous symmetry breaking vacuum density. We also postulate that there are no phase transitions associated with QCD and at higher particle physics energy scales, removing all theorized quarkgluon vacuum density condensates and their finetuned vacuum densities and cosmological constant contributions.
Date: 25/05/2009  2:45 pm
