The Small Scale Structure of Spacetime - INSPIRE

DataBETA

The Small Scale Structure of Spacetime

Steven Carlip
(
- UC, Davis
)

Nov, 2009

14 pages

Part of Proceedings, Foundations of Space and Time: Reflections on Quantum Gravity : Cape Town, South Africa, 69-84

Contribution to:

Foundations of Space and Time: Reflections on Quantum Gravity, 69-84

e-Print:

1009.1136 [gr-qc]

View in:

ADS Abstract Service

reference search80 citations

Citations per year

Abstract: (arXiv)

Several lines of evidence hint that quantum gravity at very small distances may be effectively two-dimensional. I summarize the evidence for such ``spontaneous dimensional reduction,'' and suggest an additional argument coming from the strong-coupling limit of the Wheeler-DeWitt equation. If this description proves to be correct, it suggests a fascinating relationship between small-scale quantum spacetime and the behavior of cosmologies near an asymptotically silent singularity.

Note:

14 pages, two eps figures/ to appear in Foundations of Space and Time, edited by George Ellis, Jeff Murugan, Amanda Weltman (Cambridge University Press)

approximation: strong coupling
dimension: 2
space-time: quantum space
Wheeler-DeWitt equation
dimensional reduction
cosmological model
quantum gravity: loop space
scale: Planck
triangulation
renormalization group

References(56)

Figures(2)

Modern tests of Lorentz invariance

David Mattingly
(
- UC, Davis
)

- Living Rev.Rel. 8 (2005) 5
•
e-Print:
- gr-qc/0502097
•
DOI:
- 10.12942/lrr-2005-5

GENERAL RELATIVITY WITHOUT COORDINATES

T. Regge
(
- Princeton U.
)

- Nuovo Cim. 19 (1961) 558-571
•
DOI:
- 10.1007/BF02733251

QUANTUM REGGE CALCULUS

M. Rocek
(
- Cambridge U.
)
,
Ruth M. Williams
(
- Cambridge U.
)

- Phys.Lett.B 104 (1981) 31
•
DOI:
- 10.1016/0370-2693(81)90848-0

Discrete approaches to quantum gravity in four-dimensions

Renate Loll
(
- Potsdam, Max Planck Inst.
)

- Living Rev.Rel. 1 (1998) 13
•
e-Print:
- gr-qc/9805049
•
DOI:
- 10.12942/lrr-1998-13

A Nonperturbative Lorentzian path integral for gravity

- Phys.Rev.Lett. 85 (2000) 924-927
•
e-Print:
- hep-th/0002050
•
DOI:
- 10.1103/PhysRevLett.85.924

Emergence of a 4-D world from causal quantum gravity

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

- Phys.Rev.Lett. 93 (2004) 131301
•
e-Print:
- hep-th/0404156
•
DOI:
- 10.1103/PhysRevLett.93.131301

Reconstructing the universe

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

- Phys.Rev.D 72 (2005) 064014
•
e-Print:
- hep-th/0505154
•
DOI:
- 10.1103/PhysRevD.72.064014

Semiclassical universe from first principles

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

- Phys.Lett.B 607 (2005) 205-213
•
e-Print:
- hep-th/0411152
•
DOI:
- 10.1016/j.physletb.2004.12.067

Spectral dimension of the universe

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

- Phys.Rev.Lett. 95 (2005) 171301
•
e-Print:
- hep-th/0505113
•
DOI:
- 10.1103/PhysRevLett.95.171301

Spectral geometry as a probe of quantum spacetime

- Phys.Rev.D 80 (2009) 124036
•
e-Print:
- 0911.0401
•
DOI:
- 10.1103/PhysRevD.80.124036

Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation

- Phys.Rev.D 65 (2002) 065016
•
e-Print:
- hep-th/0110054
•
DOI:
- 10.1103/PhysRevD.65.065016

Fixed points of quantum gravity

Daniel F. Litim
(
- CERN and
- Southampton U.
)

- Phys.Rev.Lett. 92 (2004) 201301
•
e-Print:
- hep-th/0312114
•
DOI:
- 10.1103/PhysRevLett.92.201301

The Asymptotic safety scenario in quantum gravity: An Introduction

M. Niedermaier
(
- Tours U., CNRS
)

- Class.Quant.Grav. 24 (2007) R171-230
•
e-Print:
- gr-qc/0610018
•
DOI:
- 10.1088/0264-9381/24/18/R01

Fractal spacetime structure in asymptotically safe gravity

O. Lauscher
(
- Leipzig U.
)
,
M. Reuter
(
- Mainz U., Inst. Phys.
)

- JHEP 10 (2005) 050
•
e-Print:
- hep-th/0508202
•
DOI:
- 10.1088/1126-6708/2005/10/050

On fixed points of quantum gravity

Daniel F. Litim
(
- Southampton U. and
- CERN
)

- AIP Conf.Proc. 841 (2006) 1, 322-329
•
e-Print:
- hep-th/0606044
•
DOI:
- 10.1063/1.2218188

Fractal Structure of Loop Quantum Gravity

Leonardo Modesto
(
- Perimeter Inst. Theor. Phys.
)

- Class.Quant.Grav. 26 (2009) 242002
•
e-Print:
- 0812.2214
•
DOI:
- 10.1088/0264-9381/26/24/242002

The Hagedorn Transition and the Number of Degrees of Freedom of String Theory

- Nucl.Phys.B 310 (1988) 291-334
•
DOI:
- 10.1016/0550-3213(88)90151-4

Quantum Gravity at a Lifshitz Point

Petr Horava
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.D 79 (2009) 084008
•
e-Print:
- 0901.3775
•
DOI:
- 10.1103/PhysRevD.79.084008

On the Extra Mode and Inconsistency of Horava Gravity

D. Blas
(
- IPT, Lausanne
)
,
O. Pujolas
(
- CERN
)
,
S. Sibiryakov
(
- IPT, Lausanne and
- Moscow, INR
)

- JHEP 10 (2009) 029
•
e-Print:
- 0906.3046
•
DOI:
- 10.1088/1126-6708/2009/10/029

Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point

Petr Horava
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.Lett. 102 (2009) 161301
•
e-Print:
- 0902.3657
•
DOI:
- 10.1103/PhysRevLett.102.161301

Dynamics of causal sets

David P Rideout
(
- Syracuse U.
)

e-Print:
- gr-qc/0212064

Renormalizability of General Relativity on a Background of Space-time Foam

L. Crane
(
- Chicago U., EFI and
- Yale U.
)
,
L. Smolin
(
- Chicago U., EFI and
- Yale U.
)

- Nucl.Phys.B 267 (1986) 714-757,
- Nucl. Phys. B267 ( 1986) 714-757
•
DOI:
- 10.1016/0550-3213(86)90139-2

Noncommutative geometry: Year 2000

Alain Connes
(
- College de France and
- IHES, Bures-sur-Yvette
)

e-Print:
- math/0011193

Quantum Theory of Gravity. 1. The Canonical Theory

Bryce S. DeWitt
(
- Princeton, Inst. Advanced Study and
- North Carolina U.
)

- Phys.Rev. 160 (1967) 1113-1148,
•
DOI:
- 10.1103/PhysRev.160.1113

Quantum gravity: A Progress report

Steven Carlip
(
- UC, Davis
)

- Rept.Prog.Phys. 64 (2001) 885
•
e-Print:
- gr-qc/0108040
•
DOI:
- 10.1088/0034-4885/64/8/301

1-25 of 56
1
2
3
25 / page