Quantum time uncertainty in a gravity's rainbow formalism
- Instituto de Estructura de la Materia, C.S.I.C., Serrano 121, 28006 Madrid (Spain)
The existence of a minimum time uncertainty is usually argued to be a consequence of the combination of quantum mechanics and general relativity. Most of the studies that point to this result are nonetheless based on perturbative quantization approaches, in which the effect of matter on the geometry is regarded as a correction to a classical background. In this paper, we consider rainbow spacetimes constructed from doubly special relativity by using a modification of the proposals of Magueijo and Smolin. In these models, gravitational effects are incorporated (at least to a certain extent) in the definition of the energy-momentum of particles without adhering to a perturbative treatment of the backreaction. In this context, we derive and compare the expressions of the time uncertainty in quantizations that use as evolution parameter either the background or the rainbow time coordinates. These two possibilities can be regarded as corresponding to perturbative and nonperturbative quantization schemes, respectively. We show that, while a nonvanishing time uncertainty is generically unavoidable in a perturbative framework, an infinite time resolution can in fact be achieved in a nonperturbative quantization for the whole family of doubly special relativity theories with unbounded physical energy.
- OSTI ID:
- 20698241
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 12; Other Information: DOI: 10.1103/PhysRevD.70.124003; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Entropy and temperature of black holes in a gravity's rainbow
Quantum time uncertainty in Schwarzschild-anti-de Sitter black holes