TL;DR
This paper explores the relationship between quantum mechanics and noncommutative geometry within a duality framework, proposing a model for gauge/gravity correspondence in one dimension with applications to quantum black holes.
Contribution
It introduces a novel correspondence between quantum mechanics and noncommutative geometry in the context of AdS/CFT duality, specifically for one-dimensional conformal systems.
Findings
Illustrates the quantum mechanics and noncommutative geometry correspondence.
Proposes a model for gauge/gravity duality in one dimension.
Discusses applications to quantum black holes and emergent gravity.
Abstract
The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative duality where 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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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Cosmology and Gravitation Theories