Dangerous implications of a minimum length in quantum gravity

@article{Bambi2008DangerousIO,
  title={Dangerous implications of a minimum length in quantum gravity},
  author={C. Bambi and K. Freese},
  journal={Classical and Quantum Gravity},
  year={2008},
  volume={25},
  pages={195013}
}
The existence of a minimum length and a generalization of the Heisenberg uncertainty principle seem to be two fundamental ingredients required in any consistent theory of quantum gravity. In this paper, we show that they would predict dangerous processes which are phenomenologically unacceptable. For example, long-lived virtual super-Planck mass black holes may lead to rapid proton decay. Possible solutions of this puzzle are briefly discussed. 
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References

SHOWING 1-10 OF 54 REFERENCES
A generalized uncertainty principle in quantum gravity
We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find aExpand
Quantum Gravity and Minimum Length
The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theoryExpand
Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
Abstract We review versions of the Generalized Uncertainty Principle (GUP) obtained in string theory and in gedanken experiments carried out in quantum gravity. We show how a GUP can be derived fromExpand
Natural extension of the Generalised Uncertainty Principle
We discuss a gedanken experiment for the simultaneous measurement of the position and momentum of a particle in de Sitter spacetime. We propose an extension of the so-called generalized uncertaintyExpand
A Note on Quantum Field Theories with a Minimal Length Scale
The aim of this note is to address the low energy limit of quantum field theories with a minimal length scale. The essential feature of these models is that the mininal length acts as a regulator inExpand
MINIMUM PHYSICAL LENGTH AND THE GENERALIZED UNCERTAINTY PRINCIPLE IN STRING THEORY
A possible definition of path integrals for string theory is studied, based on a discretized version of Polyakov's generating functional. The finite resolution of string theory, as opposed to theExpand
Limitations on the operational definition of spacetime events and quantum gravity
Using simple arguments from general relativity and quantum theory the author shows that it is not possible to devise experiments (or operational procedures) which will measure the position of aExpand
On Gravity and the Uncertainty Principle
Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As weExpand
Time measurement in quantum gravity
Abstract We discuss time measurement in quantum gravity. Using general relativity for large distances and the uncertainty principle we find a minimum time interval of the order of the Planck time,Expand
Can spacetime be probed below the string size
Abstract Strings may be explored, through a scattering process at planckian energies, down to distances of the order of the string size. We show that this is possible if the energy is not so extremeExpand
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