  Starting from a very general quantum field theory we seek to derive Poincare
invariance in the limit of low energy excitations. We do not, of course, assume
these symmetries at the outset, but rather only a very general second quantised
model. Many of the degrees of freedom on which the fields depend turn out to
correspond to a higher dimension. We are not yet perfectly successful. In
particular, for the derivation of translational invariance, we need to assume
that some background parameters, which a priori vary in space, can be
interpreted as gravitational fields in a future extension of our model.
Assuming translational invariance arises in this way, we essentially obtain
quantum electrodynamics in just 3 + 1 dimensions from our model. The only
remaining flaw in the model is that the photon and the various Weyl fermions
turn out to have their own separate metric tensors.

High Energy Physics - Theory;High Energy Physics - Phenomenology