English

Is there a super-selection rule in quantum cosmology?

General Relativity and Quantum Cosmology 2019-11-06 v4

Abstract

A certain approach to solving the Wheeler-DeWitt equation in quantum cosmology, which is based on a type of super-selection rule by which negative frequency solutions are discarded, is discussed. In a preliminary analysis, we recall well known results in relativistic quantum field theory, showing that adopt this approach of super-selection by discarding a sector of the frequencies, does not lead to acceptable results. In the area of quantum cosmology a qualitatively similar result is obtained: we show that by discarding solutions of negative frequencies, which is usually done in order to demonstrate "strong" results on the resolution of the singularity, important physical processes are lost, namely the existence of cyclic solutions which, under certain reasonable assumptions, can be interpreted as processes of creation-annihilation at the Planck scale, which are typical of any relativistic quantum field theory.

Keywords

Cite

@article{arxiv.1412.7981,
  title  = {Is there a super-selection rule in quantum cosmology?},
  author = {E. Sergio Santini},
  journal= {arXiv preprint arXiv:1412.7981},
  year   = {2019}
}

Comments

11 pages 13 figures

R2 v1 2026-06-22T07:44:26.124Z