A generalized Hartle-Hawking wave function
File(s)
Accepted version
Author(s)
Alexander, Stephon
Herczeg, Gabriel
Magueijo, Joao
Type
Journal Article
Abstract
The Hartle–Hawking wave function is known to be the Fourier dual of the Chern–Simons or Kodama state reduced to mini-superspace, using an integration contour covering the whole real line. But since the Chern–Simons state is a solution of the Hamiltonian constraint (with a given ordering), its Fourier dual should provide a solution (i.e. beyond mini-superspace) of the Wheeler DeWitt equation representing the Hamiltonian constraint in the metric representation. We write down a formal expression for such a wave function, to be seen as the generalization beyond mini-superspace of the Hartle–Hawking wave function. Its explicit evaluation (or simplification) depends only on the symmetries of the problem, and we illustrate the procedure with anisotropic Bianchi models and with the Kantowski–Sachs model. A significant difference of this approach is that we may leave the torsion inside the wave functions when we set up the ansatz for the connection, rather than setting it to zero before quantization. This allows for quantum fluctuations in the torsion, with far reaching consequences.
Date Issued
2021-05-06
Date Acceptance
2021-03-29
Citation
Classical and Quantum Gravity, 2021, 38 (9), pp.1-15
ISSN
0264-9381
Publisher
IOP Publishing
Start Page
1
End Page
15
Journal / Book Title
Classical and Quantum Gravity
Volume
38
Issue
9
Copyright Statement
© 2021 IOP Publishing Ltd.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000640390300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Astronomy & Astrophysics
Quantum Science & Technology
Physics, Multidisciplinary
Physics, Particles & Fields
Physics
quantum cosmology
loop quantum cosmology
wavefunction of the universe
Hartle–
Hawking state
torsion
Chern–
Simons state
Publication Status
Published
Article Number
ARTN 095011
Date Publish Online
2021-04-14