Noncommutativity, generalized uncertainty principle and FRW cosmology
arXiv:0709.3623 · doi:10.1007/s10773-007-9577-x
Abstract
We consider the effects of noncommutativity and the generalized uncertainty principle on the FRW cosmology with a scalar field. We show that, the cosmological constant problem and removability of initial curvature singularity find natural solutions in this scenarios.
8 pages, to appear in IJTP
References in corpus (28)
- String Theory and Noncommutative Geometry
- M Theory As A Matrix Model: A Conjecture
- Noncommutative Field Theory
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Perturbative Dynamics
- Noncommutative Field Theory and Lorentz Violation
- Nonpointlike Particles in Harmonic Oscillators
- Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
- The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
- Noncommutative Gravitational Quantum Well
- A Short Survey of Noncommutative Geometry
- Bounding Noncommutative QCD
- Noncommutative Quantum Cosmology
- On Quantum Mechanics on Noncommutative Quantum Phase Space
- Isotropic representation of noncommutative 2D harmonic oscillator
- Noncommutative Geometry and Cosmology
- Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
- Testing Spatial Noncommutativity via Rydberg Atoms
- Supersymmetric Noncommutative QED and Lorentz Violation
- The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in Black Holes
- Noncommutative Quantum Cosmology
- Non-commutative multi-dimensional cosmology
- Noncommutativity in quantum cosmology and the Hierarchy problem
- The Moyal-Lie Theory of Phase Space Quantum Mechanics
- Can Quantum Gravitational Effects Manifest themselves at Large Distances?
- Stabilization of internal space in noncommutative multidimensional cosmology
- Future singularity free accelerating expansion with the modified Poisson brackets
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- Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
- Cosmology with minimal length uncertainty relations
- Can noncommutative effects account for the present speed up of the cosmic expansion?
- Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
- Non-singular Brans-Dicke collapse in deformed phase space
- Dilaton cosmology and the Modified Uncertainty Principle
- Generalized Quantization Principle in Canonical Quantum Gravity and Application to Quantum Cosmology
- Deformed phase space in a two dimensional minisuperspace model
- Shape Invariant Potentials in Supersymmetric Quantum Cosmology
- Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
- Minisuperspace dynamics in a generalized uncertainty principle framework
- Modified clock inequalities and modified black hole lifetime
- Challenging CDM with Higher-Order GUP Corrections
- Deformed spaces and loop cosmology
- Removing the Big Bang Singularity: The role of the generalized uncertainty principle in quantum gravity
- Interacting Dark Side of Universe Through Generalized Uncertainty Principle
- Multi-Dimensional Cosmology and DSR-GUP
- Scalar field inflation driven by a modification of the Heisenberg algebra
- Minimal length implications on the Hartree-Fock theory