English

A Framework for Non-linear Time Evolution and Field Theories on State-Dependent Geometries

High Energy Physics - Theory 2017-09-06 v2

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.

Keywords

Cite

@article{arxiv.1706.04966,
  title  = {A Framework for Non-linear Time Evolution and Field Theories on State-Dependent Geometries},
  author = {Dushyant Kumar},
  journal= {arXiv preprint arXiv:1706.04966},
  year   = {2017}
}

Comments

v2 : 10 pages, 1 figure, A minor error in the graph corrected

R2 v1 2026-06-22T20:20:01.333Z