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The QM/NCG Correspondence

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arxiv 2211.00339 v1 pith:BJWDUUSE submitted 2022-11-01 hep-th gr-qc

The QM/NCG Correspondence

classification hep-th gr-qc
keywords correspondencequantumgeometrygravitymechanicsnoncommutativeapplicationsblack
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative ${\rm AdS}^2_{\theta}/{\rm CFT_1}$ duality where ${\rm CFT}_1$ is identified as conformal quantum mechanics. This model is conjectured to describe the gauge/gravity correspondence in one dimension. Applications to quantum black holes and emergent geometry/gravity are also discussed.

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