Quantum gravity, shadow states, and quantum mechanics

Details Quantum gravity, shadow states, and quantum mechanics Quantum gravity, shadow states, and quantum mechanics

2002-07-26

arxiv.org/abs/gr-qc/0207106v3

Class.Quant.Grav. 20 (2003) 1031-1062

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, no figures, RevTeX4 with AMSTeX; v2: three references added. v3: Sections IV and V revised in view of discussions at

Scientific paper

A program 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. Maxwell fields will be discussed in the second paper of this series which further develops the program and provides details.

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