# Dangerous implications of a minimum length in quantum gravity

@article{Bambi2008DangerousIO, title={Dangerous implications of a minimum length in quantum gravity}, author={Cosimo Bambi and Katherine 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 55 REFERENCES

Quantum Gravity and Minimum Length

- Physics
- 1995

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 theory…

Natural extension of the generalized uncertainty principle

- Physics
- 2008

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 uncertainty…

Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment

- Physics
- 1999

A note on quantum field theories with a minimal length scale

- Physics, Mathematics
- 2008

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 in…

MINIMUM PHYSICAL LENGTH AND THE GENERALIZED UNCERTAINTY PRINCIPLE IN STRING THEORY

- Physics, Mathematics
- 1990

On Gravity and the Uncertainty Principle

- Physics
- 1999

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 we…

Discrete gauge symmetries, baryon number and large extra dimensions

- Physics
- 2005

Krauss and Wilczek have shown that an unbroken discrete gauge symmetry is respected by gravitationally mediated processes. This has led to a search for such a symmetry compatible with the standard…