MINIMAL LENGTH IN QUANTUM SPACE AND INTEGRATIONS OF THE LINE ELEMENT IN NONCOMMUTATIVE GEOMETRY

DOI10.1142/S0129055X12500109zbMath1253.81080arXiv1106.0261OpenAlexW3101781825WikidataQ57757747 ScholiaQ57757747MaRDI QIDQ2905749

Luca Tomassini, Flavio Mercati, Pierre Martinetti

Publication date: 28 August 2012

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0261

zbMATH Keywords

noncommutative geometryspectral distancequantum spacetimeMoyal spaceDFR model

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Noncommutative geometry (à la Connes) (58B34) Classical or axiomatic geometry and physics (51P05)

Related Items (11)

The x _i -eigenvalue problem on some new fuzzy spheres ⋮ On Pythagoras theorem for products of spectral triples ⋮ Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality ⋮ Noncommutative Riemannian geometry from quantum spacetime generated by twisted Poincaré group ⋮ From Monge to Higgs: a survey of distance computations in noncommutative geometry ⋮ Metrics and causality on Moyal planes ⋮ Revisiting Connes’ finite spectral distance on noncommutative spaces: Moyal plane and fuzzy sphere ⋮ A dual formula for the spectral distance in noncommutative geometry ⋮ Spectral geometry with a cut-off: topological and metric aspects ⋮ A fully covariant information-theoretic ultraviolet cutoff for scalar fields in expanding Friedmann Robertson Walker spacetimes ⋮ CONNES DISTANCE BY EXAMPLES: HOMOTHETIC SPECTRAL METRIC SPACES

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