Noncommutative Quantum Cosmology

Abstract

We propose a model for noncommutative quantum cosmology by means of a deformation of minisuperspace. For the Kantowski-Sachs metric we are able to find the exact wave function. We construct wave packets and show that new quantum states that ``compete'' to be the most probable state appear, in clear contrast with the commutative case. A tunneling process could be possible among these states.

5 pages, 5 figures, revtex4 file, major style changes, to be published in PRL

References in corpus (5)

• Noncommutative Field Theory
• Branes on Charged Dilatonic Backgrounds: Self-Tuning, Lorentz Violations and Cosmology
• Three-dimensional Noncommutative Gravity
• Noncommutativity in Space and Primordial Magnetic Field
• Magnetic tension and the geometry of the universe

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• Noncommutivity and Scalar Field Cosmology
• Cosmology with minimal length uncertainty relations
• Non-commutative multi-dimensional cosmology
• Noncommutative Quantum Mechanics and Quantum Cosmology
• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Effects of deformed phase space on scalar field cosmology
• Non-commutative black holes of various genera in the connection formalism
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• Quantum deformation of quantum cosmology: A framework to discuss the cosmological constant problem
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• Kinetic inflation in deformed phase space Brans-Dicke cosmology
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• Thermodynamics of a non-commutative fermion gas
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• Noncommutative cosmological models coupled to a perfect fluid and a cosmological constant
• Classical and quantum bicosmology with noncommutativity
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• Deformed Phase Space Kaluza-Klein cosmology and late time acceleration
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• Hořava-Lifshitz cosmological models in noncommutative space-times
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• Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity
• Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology
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• An anisotropic Kantowski-Sachs universe with radiation, dust and a phantom fluid
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• Unitary evolution for a quantum Kantowski-Sachs cosmology
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• Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
• Quantum supersymmetric FRW cosmology with a scalar field
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• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
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• Noncommutativity In The Mechanics Of A Free Massless Relativistic Particle
• Noncommutative Quantum Cosmology
• WKB-type Approximation to Noncommutative Quantum Cosmology
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• A Review of Noncommutative Field Theories
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• Quantum gravitational wave function for the interior of a black hole and the generalized uncertainty principle
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime
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• Complete noncommutativity in a cosmological model with radiation
• Stabilization of internal space in noncommutative multidimensional cosmology
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• Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
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• Nonlinear Quantum Cosmology
• Gravity in Extreme Regions Based on Noncommutative Quantization of Teleparallel Gravity
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• Noncommutative SUSY Black Holes
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• Noncommutative Quantum Cosmology for the FLRW model in Unimodular Gravity
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• Dynamic and static properties of Quantum Hall and Harmonic Oscillator systems on the non-commutative plane
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• On 2d gravity and parallel transport field equation on quantum sphere
• (Pre)-Inflationary Dynamics with Starobinsky Potential in Noncommutative Effective LQC
• Accessing the non-equal-time commutators of a trapped ion