Minimum length, extra dimensions, modified gravity and black hole remnants
arXiv:1208.5570 · doi:10.1088/1475-7516/2013/03/042
Abstract
We construct a Hilbert space representation of minimum-length deformed uncertainty relation in presence of extra dimensions. Following this construction, we study corrections to the gravitational potential (back reaction on gravity) with the use of correspondingly modified propagator in presence of two (spatial) extra dimensions. Interestingly enough, for the gravitational force approaches zero and the horizon for modified Schwarzschild-Tangherlini space-time disappears when the mass approaches quantum-gravity energy scale. This result points out to the existence of zero-temperature black hole remnants in ADD brane-world model.
14 pages, 1 figure; Close to the version published in JCAP
References in corpus (53)
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Quantum Gravity at a Lifshitz Point
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Quantum gravity and minimum length
- A Generalized Uncertainty Principle in Quantum Gravity
- High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- Noncommutative geometry inspired Schwarzschild black hole
- The Generalized Uncertainty Principle and Black Hole Remnants
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Minimal Length Uncertainty Relation and Ultraviolet Regularisation
- Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
- Signatures in the Planck Regime
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- Quantum Corrections to the Schwarzschild and Kerr Metrics
- Generalized Uncertainty Principle, Extra-dimensions and Holography
- Black Holes and Massive Remnants
- Will we observe black holes at LHC?
- (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
- Natural extension of the Generalised Uncertainty Principle
- Black hole thermodynamics with generalized uncertainty principle
- How classical are TeV-scale black holes?
- Black hole thermodynamics with generalized uncertainty principle
- Quantum power correction to the Newton law
- Spin-2 fields on Minkowski space near space-like and null infinity
- Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources
- Quantum Gravitational Optics
- Black Hole Remnants at the LHC
- Comments On String Theory
- Self-Completeness of Einstein Gravity
- Black holes thermodynamics to all orders in the Planck length in extra dimensions
- The Minimal Length and Large Extra Dimensions
- Multi-Particle States in Deformed Special Relativity
- Suppressed Black Hole Production from Minimal Length
- Quantum long-range interactions in general relativity
- Regular black holes in UV self-complete quantum gravity
- Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications
- Superluminal Velocity of Photons in a Gravitational Background
- Quantum corrections to the Schwarzschild metric and reparametrization transformations
- Gravity in quantum spacetime
- Implications of minimum-length deformed quantum mechanics for QFT/QG
- Searching for signals of minimal length in extra dimensional models using dilepton production at hadron colliders
- Geometry of Grand Unification
- Quantum Gravity at the Planck Length
- Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing
- Dark Matter Production at LHC from Black Hole Remnants
- Minimum-length deformed quantization of a free field on de Sitter background and corrections to the inflaton perturbations
- Microscopic black hole and uncertainty principle with minimal length and momentum
- Top quark phenomenology of the ADD model and the Minimal Length Scenario
- TeV scale black holes thermodynamics with extra dimensions and quantum gravity effects
- Large Extra Dimensions and the Minimal Length
- Studying the effects of minimal length in large extra dimensional models in the jet + missing energy channels at hadron colliders