109 citations · 712 across the 45 of their papers we have counts for
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math-ph2011★ 3 cited
Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
Pierre Martinetti, Luca Tomassini
We study the metric aspect of the Moyal plane from Connes' noncommutative geometry point of view. First, we compute Connes' spectral distance associated with the natural isometric…
math-ph2011★ 20 cited
Minimal length in quantum space and integrations of the line element in Noncommutative Geometry
Pierre Martinetti, Flavio Mercati, Luca Tomassini
We question the emergence of a minimal length in quantum spacetime, comparing two notions that appeared at various points in the literature: on the one side, the quantum length as…