XXXIX Workshop on Geometric Methods in Physics | 19.06–25.06.2022 |

XI School on Geometry and Physics | 27.06–1.07.2022 |

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In order to secure the right conditions for our Workshop we have decided to exceptionally move (only for this
year's meeting) the site of our Workshop to the campus of our University in Białystok.
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## Pinaki Patra## Decoherence in noncommutative spaceThere is a consensus that space is noncommutative at the fundamental length scale (Planck scale). Thus noncommutative (NC) geometry is a potential candidate for the unification of quantum theory with gravity. The formalism of NC-space (NCS) is mostly parallel to that of conventional field theory and especially with the large-N limit of conventional field theory. Such theories are now known to emerge from the limits of M-theory and string theory. However, space-time appears to be a classical entity within our perceivable domain. It is well known that the decoherence explains the appearance of a classical particle as a localized entity in space-time within the scope of quantum mechanics (QM) without invoking any additional proposition. Therefore, the decoherence phenomena deserve special attention in quantum gravity (QG). In our talk, we shall study the decoherence phenomena for NCS. We shall construct the Wigner phase-space distribution for two spatially separated particles in NCS. It turns out that, the contribution from the oscillatory entanglement terms vanishes through averaging over the fundamental phase-space volume. This explains the decoherence in NCS. |

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University of Bialystok |

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