Why are the effective equations of loop quantum cosmology so accurate?

Abstract

We point out that the relative Heisenberg uncertainty relations vanish for non-compact spaces in homogeneous loop quantum cosmology. As a consequence, for sharply peaked states quantum fluctuations in the scale factor never become important, even near the bounce point. This shows why quantum back-reaction effects remain negligible and explains the surprising accuracy of the effective equations in describing the dynamics of sharply peaked wave packets. This also underlines the fact that minisuperspace models ---where it is global variables that are quantized--- do not capture the local quantum fluctuations of the geometry.

6 pages, v2: Clarifications and references added

References in corpus (5)

• Quantum Nature of the Big Bang: Improved dynamics
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology
• Quantum Cosmology: Effective Theory
• Chimera: A hybrid approach to numerical loop quantum cosmology

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