Cosmological horizons, uncertainty principle, and maximum length quantum mechanics

@article{Perivolaropoulos2017CosmologicalHU,
  title={Cosmological horizons, uncertainty principle, and maximum length quantum mechanics},
  author={Leandros Perivolaropoulos},
  journal={Physical Review D},
  year={2017},
  volume={95},
  pages={103523}
}
The cosmological particle horizon is the maximum measurable length in the Universe. The existence of such a maximum observable length scale implies a modification of the quantum uncertainty principle. Thus due to non-locality of quantum mechanics, the global properties of the Universe could produce a signature on the behaviour of local quantum systems. A Generalized Uncertainty Principle (GUP) that is consistent with the existence of such a maximum observable length scale $l_{max}$ is $\Delta x… 

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