Lorentz symmetry from a random Hamiltonian

Details Lorentz symmetry from a random Hamiltonian Lorentz symmetry from a random Hamiltonian

2010-03-12

arxiv.org/abs/1003.2566v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 6 figures

Scientific paper

We match the density of energy eigenstates of a local field theory with that of a random Hamiltonian order by order in a Taylor expansion. Our earlier work showed the match to be sufficiently close to account for the success of field theory in describing our world, even if the underlying Hamiltonian were simply a random one. In that work the assumed Lorentz symmetry of the field theory entered through the dispersion relation. Here we extend that work to consider a generalized dispersion relation and show that the Lorentz symmetric case is preferred, in that the Lorentz symmetric dispersion relation give a better approximation to a random Hamiltonian than the other local dispersion relations we considered. We concluded that a model of the physical world based on the approximate interpretation of a fundamental random Hamiltonian as a local field theory predicts Lorentz symmetry for the local physics.

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