Abstract
In this essay, we examine a set of uncertainty principles that are proposed in the literature to encode possible features of a theory of quantum gravity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
For example, the Poincaré group is replaced with the \(\kappa \)-Poincaré group.
References
Amati, D., Ciafaloni, M., Veneziano, G.: Phys. Lett. B 197, 81 (1987); Int. J. Mod. Phys. A 3, 1615 (1988); Nucl. Phys. B 347, 530 (1990); Gross, D.J., Mende, P.F.: Phys. Lett. B 197, 129 (1987). Nucl. Phys. B 303, 407 (1988)
Konishi, K., Paffuti, G., Provero, P.: Phys. Lett. B 234, 276 (1990)
Doplicher, S., Fredenhagen, K., Roberts, J.E.: The quantum structure of space-time at the Planck scale and quantum fields. Commun. Math. Phys. 172, 187 (1995)
Maggiore, M.: A generalized uncertainty principle in quantum gravity. Phys. Lett. B 304, 65–69 (1993)
Connes, A.: Non-Commutative Geometry. Academic Press; Connes, A., Marcolli, M.: Noncommutative Geometry, Quantum Fields and Motives (1994)
Snyder, H.S.: Quantized space-time. Phys. Rev. 71, 38–41 (1947)
Kempf, A.: Uncertainty relation in quantum mechanics with quantum group symmetry. J. Math. Phys. 35, 4483–4496 (1994)
Amelino-Camelia, G.: Relativity: special treatment. Nature 418, 34–35 (4 July 2002); Amelino-Camelia, G.: Doubly-special relativity: first results and key open problems. Int. J. Mod. Phys. D11, 1643 (2002)
Kowalski-Glikman, J.: De sitter space as an arena for doubly special relativity. Phys. Lett. B 547, 291 (2002)
Hossenfelder, S.: The soccer-ball problem. In: SIGMA, vol. 10 (2014), 74, 8 p
Amelino-Camelia, G., Freidel, L., Kowalski-Glikman, J., Smolin, L.: The principle of relative locality. Phys. Rev. D 84, 84010 (2011)
Girelli, F., Livine, E.R., Oriti, D.: Deformed special relativity as an effective flat limit of quantum gravity. Nucl. Phys. B 708, 411 (2005)
Freidel, L., Kowalski-Glikman, J., Smolin, L.: 2+1 gravity and doubly special relativity. Phys. Rev. D 69, 44001 (2004)
Oriti, D.: Spacetime geometry from algebra: spin foam models for nonperturbative quantum gravity. Reports Progress Phys. 64, 1489–1543 (2001)
Freidel, L., Louapre, D.: Ponzano Regge model revisited: I. Gauge fixing, observables and interacting spinning particles. Class. Quantum Gravity 21, 5685–5726 (2004)
Amelino-Camelia, G., Smolin, L., Starodubtsev, A.: Quantum symmetry, the cosmological constant and Planck-scale phenomenology. Class. Quantum Gravity 21, 3095–3110 (2004)
Kempf, A., Mangano, G., Mann, R.B.: Hilbert space representation of the minimal length uncertainty relation. Phys. Rev. D 52, 1108 (1995)
Hossenfelder, S.: Minimal length scale scenarios for quantum gravity. Living Rev. Relativ. 16(2) (2013)
Acknowledgements
The author would like to thank Prof. G. Immirzi for fruitful discussions and valuable suggestions about this topic.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Frassino, A.M. (2018). Quantum Gravity Deformations. In: Hossenfelder, S. (eds) Experimental Search for Quantum Gravity. FIAS Interdisciplinary Science Series. Springer, Cham. https://doi.org/10.1007/978-3-319-64537-7_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-64537-7_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-64536-0
Online ISBN: 978-3-319-64537-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)