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Massive and Massless Quantum Cosmos

2023/12/29 by R. Baier, Baier, Rudolf, Christian Peterson +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Quantum Mechanics and Applications #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2312.17647

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 Λ 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.

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