Quantum gravity, shadow states and quantum mechanics

Abhay Ashtekar, Stephen Fairhurst, Joshua L. Willis

Research output: Contribution to journalArticlepeer-review

231 Scopus citations


A programme was recently initiated to bridge the gap between the Planck scale physics described by loop quantum gravity and the familiar low energy world. We illustrate the conceptual problems and their solutions through a toy model: quantum mechanics of a point particle. The model can also serve as a simple introduction to many of the ideas and constructions underlying quantum geometry. Maxwell fields will be discussed in the second paper of this series which further develops the programme.

Original languageEnglish (US)
Pages (from-to)1031-1061
Number of pages31
JournalClassical and Quantum Gravity
Issue number6
StatePublished - Mar 21 2003

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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