The minimum length problem of loop quantum cosmology

Abstract

The appearance of the big bounce (BB) in the evolution of the universe is analyzed in the setting of loop quantum cosmology (LQC). Making use of an idea of a minimum length turns classical Big Bang into BB. We argue why the spectrum of the kinematical area operator of loop quantum gravity cannot be used for the determination of this length. We find that the fundamental length, at the present stage of development of LQC, is a free parameter of this model.

9 pages, no figures, revtex4; version published by Acta Physica Polonica

References in corpus (5)

• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Robustness of key features of loop quantum cosmology
• Elements of Loop Quantum Cosmology
• Energy Scale of the Big Bounce
• Quantum Space-times: Beyond the Continuum of Minkowski and Einstein

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• Short distance modification of the quantum virial theorem
• Modification of Schrödinger-Newton equation due to braneworld models with minimal length
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• Deformation of Second and Third Quantization
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• Quantum of volume in de Sitter space
• Compactification, T-Duality and Quantum Erasers
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