Quantum noncommutative multidimensional cosmology
arXiv:gr-qc/0702067 · doi:10.1007/s10714-007-0429-z
Abstract
We present exact quantum solutions for a noncommutative, multidimensional cosmological model and show that stabilization of extra dimensions sets in with the introduction of noncommutativity between the scale factors. An interpretation is offered to accommodate the notion of time, rendering comparison with the classical solutions possible.
10 pages, 1 figure, to appear in GRG
References in corpus (28)
- String Theory and Noncommutative Geometry
- M Theory As A Matrix Model: A Conjecture
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Perturbative Dynamics
- Noncommutative Field Theory and Lorentz Violation
- Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
- A Short Survey of Noncommutative Geometry
- Bounding Noncommutative QCD
- Noncommutative Quantum Cosmology
- Noncommutative Geometry and Cosmology
- Classical Stabilization of Homogeneous Extra Dimensions
- Supersymmetric Noncommutative QED and Lorentz Violation
- Quantum Field Theories With Compact Noncommutative Extra Dimensions
- Wave packets and initial conditions in quantum cosmology
- Gravity and Electromagnetism in Noncommutative Geometry
- Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry
- A dynamical stabilization of the radion potential
- Multi-dimensional classical and quantum cosmology: Exact solutions, signature transition and stabilization
- Non-commutative multi-dimensional cosmology
- Pseudo Euclidean-Signature Harmonic Oscillator, Quantum Field Theory and Vanishing Cosmological Constant
- Discerning Noncommutative Extra Dimensions
- A note on dynamical stabilization of internal spaces in multidimensional cosmology
- A Noncommutative Extension of Gravity
- Noncommutative Geometry and a Discretized Version of Kaluza-Klein Theory with a Finite Field Content
- Classification of multidimensional inflationary models
- Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields
- Noncommutativity in quantum cosmology and the Hierarchy problem
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- Deformed phase space in a two dimensional minisuperspace model
- Shape Invariant Potentials in Supersymmetric Quantum Cosmology
- A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
- Probabilistic Evolutionary Process: a possible solution to the problem of time in quantum cosmology and creation from nothing
- Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space