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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 Köppelkoeppel@fias.uni-frankfurt.de

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)