• Corpus ID: 211167268

Generalized Uncertainty Principle from Quantum Geometry

@article{Capozziello1999GeneralizedUP,
  title={Generalized Uncertainty Principle from Quantum Geometry},
  author={Salvatore Capozziello and Gaetano Lambiase and G. Scarpetta},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={1999}
}
The generalized uncertainty principle of string theory is derived in the framework of Quantum Geometry by taking into account the existence of an upper limit on the acceleration of massive particles. 
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References

SHOWING 1-4 OF 4 REFERENCES
REGULARIZING PROPERTY OF THE MAXIMAL ACCELERATION PRINCIPLE IN QUANTUM FIELD THEORY
It is shown that the introduction of an upper limit to the proper acceleration of a particle can smooth the problem of ultraviolet divergences in local quantum field theory. For this aim, the
La rivista del Nuovo Cimento 15 n.4 and references therein
  • 1992
Superstring Theory, Cambridge Univ., Cambridge
  • Phys. Rev
  • 1977