# A Model of Macroscopic Geometrical Uncertainty

@article{Hogan2012AMO, title={A Model of Macroscopic Geometrical Uncertainty}, author={Craig Hogan}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2012} }

A model quantum system is proposed to describe position states of a massive body in flat space on large scales, excluding all standard quantum and gravitational degrees of freedom. The model is based on standard quantum spin commutators, with operators interpreted as positions instead of spin, and a Planck-scale length $\ell_P$ in place of Planck's constant $\hbar$. The algebra is used to derive a new quantum geometrical uncertainty in direction, with variance given by $\langle \Delta \theta^2…

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