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Quantum Gravity improved black holes
Astro Coffee • 27. Jan 2015, 14:00-15:00 • FIAS 0.101
Quantum Gravity group of Piero Nicolini / Marcus Bleicher
Sven Kö[email protected]
OutlineQuantum Gravity improved black holes
Sven Köppel
1. Quantum effects at the BH coreSchwarzschild singularityParticle compression
2. Minimal resolution approach: GUPGravity as nonlocal field theoryGeometry and properties of the GUP BHFeatures
3. What's nextLarge extradimensional scenarioOther BH core modelsExperimental evidence
3
Schwarzschild BHs exhibit problems
The Schwarzschild black hole is not suitable to describe „smallest distances“:
Curvature singularity ill defined thermodynamics
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There is a widespread belief in a minimal spatial resolution in nature: Planck scale
Incooperating gravitational effects in quantum mechanics
Example Gedankenexperiments:Heisenberg Microscope Shrinking a volume of matter:
The Planck scale
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Incooperating gravitational effects in quantum mechanics
There is a widespread belief in a minimal spatial resolution in nature: Planck scale
Shrinking a volume of matter:
Physically allowed regionby GUP prediction
Generalized Uncertainty Principle (GUP)
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Incooperating gravitational effects in quantum mechanics
There is a widespread belief in a minimal spatial resolution in nature: Planck scale
Shrinking a volume of matter:
Physically allowed regionby GUP prediction
Generalized Uncertainty Principle (GUP)
7
Incooperating gravitational effects in quantum mechanics
There is a widespread belief in a minimal spatial resolution in nature: Planck scale
Generalized Uncertainty Principle (GUP)
Fourier Transformation in
coordinate frame of a freely
infalling observer
→ gives us a momentum space cutoff. Use Cutoff to determine sharpest possible object in GUP:
→ maximal localized momentum states and
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The GUP-inspired black hole
Big masses:Classical Schwarzschildbehaviour
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Big masses:Classical Schwarzschildbehaviour
Extremal mass:One degenerate horizon
The GUP-inspired black hole
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Too light mass:no black hole (G-Lump)
Big masses:Classical Schwarzschildbehaviour
Extremal mass:One degenerate horizon
The GUP-inspired black hole
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Too light mass:no black hole (G-Lump)
Big masses:Classical Schwarzschildbehaviour
Extremal mass:One degenerate horizon
The GUP-inspired black hole
Features:
● Schwarzschild at large distances● String theory motivated modification at Planck scale● Still left: Curvature singularity at origin
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The GUP-inspired black hole
Further features:
● Regular thermodynamics● The existance of a remnant● Self-completeness of gravity
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The black hole remnant: thermodynamics
semiclassical regimecooldownphase
inaccessibleregime
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The black hole remnant: thermodynamics
semiclassical regimecooldownphase
inaccessibleregime
Phase transitionHeatcapacity
Temperature:
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The black hole remnant: thermodynamics
semiclassical regimecooldownphase
inaccessibleregime
Phase transitionHeatcapacity
Temperature:
Entropy
Zero entropy remnant
The remnant:A cold stableevaporationendpoint
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The GUP-inspired black hole
An ongoing project: Extending GUP black holes to extra dimensions.
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The weak hierarchy problem of the Standard Model
Elektroweak scalevs.
Planck scale
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Large Extra Dimensions
ADD scenario
Integrated huge Volume ofextra dimensions
Large µm up to mm
Arkani-HamedDimopoulosDvali 1998
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Large Extra Dimensions
n=1n=2
n=5
Maybe modify GUP for LXDsongoing work
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Outlook: Different metrics
The self-regular metric:● Regular center? Yes● Classical low-energy limit? Yes● Self-encoding? Yes● Holographic picture holds? No
Regular De Sitter core:Quantum outward pressure
DeSitterSchwarzschild
The holographic metric:● Regular center? No● Classical low-energy limit? Yes● Self-encoding? Yes● Holographic picture holds? Yes
Macroscopic Microscopic
Conclusion
Literature
Nicolini, SpallucciHolographic screens in UV self-complete QR[arXiv:1210.0015]
Ongoing: Isi, Knipfer, Köppel, Mureika, NicoliniSelf-Completeness and the GUP in extradimensions
Ongoing: Bleicher, Dirkes, Frassino, Knipfer, Köppel, NicoliniGUP and BHs – a paedagogical review
Picture Credits
Bernhard Carr [KSM 2012]Bekenstein, Kamajian [Scientific American 2005]SM particle chart: Phys. Today 65, 9, 12 (2012)