Background independent quantization and the uncertainty principle

Abstract

It is shown that polymer quantization leads to a modified uncertainty principle similar to that obtained from string theory and non-commutative geometry. When applied to quantum field theory on general background spacetimes, corrections to the uncertainty principle acquire a metric dependence. For Friedmann-Robertson-Walker cosmology this translates to a scale factor dependence which gives a large effect in the early universe.

6 pages

References in corpus (6)

• Polymer Quantum Mechanics and its Continuum Limit
• The Quantum Configuration Space of Loop Quantum Cosmology
• Non-singular inflationary universe from polymer matter
• Polymer state approximations of Schroedinger wave functions
• Quantum gravity and the Coulomb potential
• Background independent quantization and wave propagation

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