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Doubly special relativity and de Sitter space

Jerzy Kowalski-Glikman
(
- Wroclaw U.
)
,
Sebastian Nowak
(
- Wroclaw U.
)

Apr, 2003

26 pages

Published in:

Class.Quant.Grav. 20 (2003) 4799-4816

e-Print:

hep-th/0304101 [hep-th]

DOI:

10.1088/0264-9381/20/22/006

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Abstract:

In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate systems on this space. We investigate the emerging geometrical picture of Doubly Special Relativity by presenting the basis independent features of DSR that include the non-commutative structure of space-time and the phase space algebra. Next we investigate the relation between our geometric formulation and the one based on quantum

\kappa

-deformations of the Poincar\'e algebra. Finally we re-derive the five-dimensional differential calculus using the geometric method, and use it to write down the deformed Klein-Gordon equation and to analyze its plane wave solutions.

space-time: de Sitter
relativity theory
quantum algebra
algebra: Poincare
algebra: deformation
Klein-Gordon equation: solution

References(37)

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Quantum gravity phenomenology: Status and prospects

Giovanni Amelino-Camelia
(
- Rome U.
)

- Mod.Phys.Lett.A 17 (2002) 899-922
•
e-Print:
- gr-qc/0204051
•
DOI:
- 10.1142/S0217732302007612

Testable scenario for relativity with minimum length

Giovanni Amelino-Camelia
(
- Rome U.
)

- Phys.Lett.B 510 (2001) 255-263
•
e-Print:
- hep-th/0012238
•
DOI:
- 10.1016/S0370-2693(01)00506-8

Relativity in space-times with short distance structure governed by an observer independent (Planckian) length scale

Giovanni Amelino-Camelia
(
- Rome U.
)

- Int.J.Mod.Phys.D 11 (2002) 35-60
•
e-Print:
- gr-qc/0012051
•
DOI:
- 10.1142/S0218271802001330

Quantum gravity and minimum length

Luis J. Garay
(
- Imperial Coll., London
)

- Int.J.Mod.Phys.A 10 (1995) 145-166
•
e-Print:
- gr-qc/9403008
•
DOI:
- 10.1142/S0217751X95000085

Limitations on the Operational Definition of Space-time Events and Quantum Gravity

T. Padmanabhan
(
- Cambridge U.
)

- Class.Quant.Grav. 4 (1987) L107-L113,
- Class. Quantum Grav. 4 ( 1987) L107-l113
•
DOI:
- 10.1088/0264-9381/4/4/007

Fermions, bosons, and locality in special relativity with two invariant scales

Dharam Vir Ahluwalia
(
- Zacatecas U.
)

•
e-Print:
- gr-qc/0207004

Born-Infeld kinematics

Frederic P. Schuller
(
- Cambridge U., DAMTP
)

- Annals Phys. 299 (2002) 174-207
•
e-Print:
- hep-th/0203079
•
DOI:
- 10.1006/aphy.2002.6273

Classical velocity in kappa deformed Poincare algebra and a maximum acceleration

S. Kalyana Rama
(
- IMSc, Chennai
)

- Mod.Phys.Lett.A 18 (2003) 527
•
e-Print:
- hep-th/0209129
•
DOI:
- 10.1142/S0217732303009228

Maximal acceleration or maximal accelerations?

Antonio Feoli
(
- Sannio U.
)

- Int.J.Mod.Phys.D 12 (2003) 271-280
•
e-Print:
- gr-qc/0210038
•
DOI:
- 10.1142/S0218271803002706

2+1 gravity and doubly special relativity

Laurent Freidel
(
- Perimeter Inst. Theor. Phys. and
- Lyon, IPN
)
,
Jerzy Kowalski-Glikman
(
- Wroclaw U.
)
,
Lee Smolin
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- Phys.Rev.D 69 (2004) 044001
•
e-Print:
- hep-th/0307085
•
DOI:
- 10.1103/PhysRevD.69.044001

Quantum symmetry, the cosmological constant and Planck scale phenomenology

Giovanni Amelino-Camelia
(
- Rome U. and
- INFN, Rome and
- Perimeter Inst. Theor. Phys.
)
,
Lee Smolin
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Artem Starodubtsev
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- Class.Quant.Grav. 21 (2004) 3095-3110
•
e-Print:
- hep-th/0306134
•
DOI:
- 10.1088/0264-9381/21/13/002

Observer independent quantum of mass

Jerzy Kowalski-Glikman
(
- Wroclaw U.
)

- Phys.Lett.A 286 (2001) 391-394
•
e-Print:
- hep-th/0102098
•
DOI:
- 10.1016/S0375-9601(01)00465-0

Deformed boost transformations that saturate at the Planck scale

N.R. Bruno
(
- Rome U. and
- INFN, Rome
)
,
G. Amelino-Camelia
(
- Rome U. and
- INFN, Rome
)
,
J. Kowalski-Glikman
(
- Wroclaw U.
)

- Phys.Lett.B 522 (2001) 133-138
•
e-Print:
- hep-th/0107039
•
DOI:
- 10.1016/S0370-2693(01)01264-3

Q deformation of Poincare algebra

Jerzy Lukierski
(
- Geneva U.
)
,
Henri Ruegg
(
- Geneva U.
)
,
Anatol Nowicki
(
- Zielona Gora, Pedagogical U.
)
,
Valerii N. Tolstoi
(
- Moscow State U.
)

- Phys.Lett.B 264 (1991) 331-338
•
DOI:
- 10.1016/0370-2693(91)90358-W

Bicrossproduct structure of kappa Poincare group and noncommutative geometry

S. Majid
(
- Cambridge U.
)
,
H. Ruegg
(
- Geneva U.
)

- Phys.Lett.B 334 (1994) 348-354
•
e-Print:
- hep-th/9405107
•
DOI:
- 10.1016/0370-2693(94)90699-8

Classical quantum mechanics of free kappa relativistic systems

- Annals Phys. 243 (1995) 90-116
•
e-Print:
- hep-th/9312153
•
DOI:
- 10.1006/aphy.1995.1092

Lorentz invariance with an invariant energy scale

Joao Magueijo
(
- Imperial Coll., London
)
,
Lee Smolin
(
)

- Phys.Rev.Lett. 88 (2002) 190403
•
e-Print:
- hep-th/0112090
•
DOI:
- 10.1103/PhysRevLett.88.190403

Doubly special relativity theories as different bases of kappa Poincare algebra

J. Kowalski-Glikman
(
- Wroclaw U.
)
,
S. Nowak
(
- Wroclaw U.
)

- Phys.Lett.B 539 (2002) 126-132
•
e-Print:
- hep-th/0203040
•
DOI:
- 10.1016/S0370-2693(02)02063-4

Noncommutative space-time of doubly special relativity theories

Jerzy Kowalski-Glikman
(
- Wroclaw U.
)
,
Sebastian Nowak
(
- Wroclaw U.
)

- Int.J.Mod.Phys.D 12 (2003) 299-316
•
e-Print:
- hep-th/0204245
•
DOI:
- 10.1142/S0218271803003050

e-Print:
- math/9803064

Quantized space-time

Hartland S. Snyder
(
- Northwestern U.
)

- Phys.Rev. 71 (1947) 38-41,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 3-6
•
DOI:
- 10.1103/PhysRev.71.38

De sitter space as an arena for doubly special relativity

Jerzy Kowalski-Glikman
(
- Wroclaw U.
)

- Phys.Lett.B 547 (2002) 291-296
•
e-Print:
- hep-th/0207279
•
DOI:
- 10.1016/S0370-2693(02)02762-4

Doubly special relativity versus kappa deformation of relativistic kinematics

- Int.J.Mod.Phys.A 18 (2003) 7-18
•
e-Print:
- hep-th/0203065
•
DOI:
- 10.1142/S0217751X03013600

Generalized Lorentz invariance with an invariant energy scale

Joao Magueijo
(
- Imperial Coll., London
)
,
Lee Smolin
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- Phys.Rev.D 67 (2003) 044017
•
e-Print:
- gr-qc/0207085
•
DOI:
- 10.1103/PhysRevD.67.044017

Noncommutative differential calculus on the kappa Minkowski space

Andrzej Sitarz
(
- Cambridge U.
)

- Phys.Lett.B 349 (1995) 42-48
•
e-Print:
- hep-th/9409014
•
DOI:
- 10.1016/0370-2693(95)00223-8

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