Cosmological Horizons, Uncertainty Principle and Maximum Length Quantum Mechanics

Abstract

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 lmax is ∆x∆p ≥ ~ 2 1 1−α∆x2 where α = l −2 max ' (H0/c) (H0 is the Hubble parameter and c is the speed of light). In addition to the existence of a maximum measurable length lmax = 1 √ α , this form of GUP

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Cite this paper

@inproceedings{Perivolaropoulos2017CosmologicalHU, title={Cosmological Horizons, Uncertainty Principle and Maximum Length Quantum Mechanics}, author={Leandros Perivolaropoulos}, year={2017} }