A Framework for Non-linear Time Evolution and Field Theories on State-Dependent Geometries
arXiv:1706.04966
Abstract
We introduce a framework for non-linear time evolution in quantum mechanics as a natural non-linear generalization of the Schrodinger equation. Within our framework, we derive simple toy models of dynamical geometry on finite graphs. Along similar lines we also propose a model of non-linear quantum field theory on spaces with state-dependent geometry.
v2 : 10 pages, 1 figure, A minor error in the graph corrected