English

Massive and Massless Quantum Cosmos

General Relativity and Quantum Cosmology 2024-07-17 v2

Abstract

The recent analysis of quantum cosmology by S. Gielen [1] is extended by discussing the case of dust (in the flat case). The dependence of the Wheeler-DeWitt equation on the operator ordering of the Hamiltonian in the case of a position dependent mass is explored, together with the {\Lambda} dependence. As a main result, it is shown that matter enforces a quantized wave function as a solution of the corresponding Wheeler-DeWitt equation in the anti-de Sitter case.

Keywords

Cite

@article{arxiv.2312.17647,
  title  = {Massive and Massless Quantum Cosmos},
  author = {Rudolf Baier and Christian Peterson},
  journal= {arXiv preprint arXiv:2312.17647},
  year   = {2024}
}
R2 v1 2026-06-28T14:04:38.538Z