Wave Function of the Universe and Its Meaning

Details Wave Function of the Universe and Its Meaning Wave Function of the Universe and Its Meaning

2003-08-11

arxiv.org/abs/gr-qc/0308029v1

Czech.J.Phys. 54 (2004) 93-99

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, contributed to the First International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, held in Prag Jun

Scientific paper

10.1023/B:CJOP.0000014373.58075.

For a FRW-spacetime coupled to an arbitrary real scalar field, we endow the solution space of the associated Wheeler-DeWitt equation with a Hilbert-space structure, construct the observables, and introduce the physical wave functions of the universe that admit a genuine probabilistic interpretation. We also discuss a proposal for the formulation of the dynamics. The approach to quantum cosmology outlined in this article is based on the results obtained within the theory of pseudo-Hermitian operators.

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